Answer:
The price of tomato per pound is $1.36
Step-by-step explanation:
Jordan has $5.37.
He is buying one red pepper for $1.29
He is also buying three pounds of tomatoes.
If he has exactly the right amount of money he needs, then
5.37 = 1.29 + 3x
Where x is the price of tomato per pound
And( 5.37 = 1.29 + 3x) is the equation to solve for x
5.37 = 1.29 + 3x
5.37-1.29 = 3x
4.08 = 3x
4.08/3 = x
1.36 = x
The price of tomato per pound is $1.36
To verify it again..
3*1.36 + 1.29
= 4.08 +1.29
= 5.37 ( which is the initial total amount)
Answer:
Jordan has $5.37, which he is using to buy ingredients to make salsa. He is buying one red pepper for $1.29 and three pounds of tomatoes. If Jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes?
Choose the correct equation to represent this real-world problem.
✔ 5.37 = 3x + 1.29
Solve the equation and verify the reasonableness of your answer.
A pound of tomatoes costs
✔ $1.36
.
Step-by-step explanation:
Which of the following statements is false?
a. R3 is a vector space
b. P2 is a vector space
C. M2x2 is a vector space
d. The set of all polynomials of degree 4 is a vector space
Answer:
C . M2x2 is a vector space
Step-by-step explanation:
According to the definition, the each element in a vector spaces is a vector. So, 2×2 matrix cannot be element in a vector space since it is not even a vector.
The set of all ordered triples of real numbers is called 3‐space, denoted R 3 (“R three”). See Figure . ... Vectors in R 3 are called 3‐vectors (because there are 3 components), and the geometric descriptions of addition and scalar multiplication given for 2‐vectors also carry over to 3‐vectors.
Since every polynomial of degree up to 2 is also a polynomial of degree up to 3, P2 is a subset of P3. And we already know that P2 is a vector space, so it is a subspace of P3.
With addition, the set of polynomials of degree 2 almost form a vector space, but there are some problem. The first one, is that the zero vector, i.e. the zero polynomial is not of degree 2. ... If you really need them to form a vector space, then you should consider the set of all polynomials of degree at most 2.
En un platillo de una balanza colocamos un queso, en el otro ponemos las tres cuartas partes de otro queso igual y para equilibrarlo añadimos un peso de tres cuartos de kilo. ¿Cuál es el peso del queso?
Answer: The cheese weighs 3 kilograms.
Step-by-step explanation:
I will answer this in English, feel free to translate it if you need it.
This can be translated to:
In a weighing pan of a scale, we place a cheese, in the other we put three-quarters of another cheese equal, and to balance it we add a weight of 3/4 kg. What is the weight of the cheese?
We know that the weight on both pans must be the same.
Then if the weight of the cheese is C, we have the equation:
C = (3/4)*C + 3/4kg
this says:
The weight of the complete cheese is equal to the weight of 3/4 of the cheese plus 3/4kg.
Now we can solve it for C.
C - (3/4)*C = 3/4kg
C*(1 - 3/4) = C*(1/4) = 3/4kg
C = 4*(3/4)kg = 3kg
The cheese weighs 3 kilograms.
The graph at the right
shows how a much a
company charges to ship
an item priority based on
the weight of the package.
According to the graph
how much would it cost to
ship a package that
weighs 3 pounds?
Answer:
$5
Step-by-step explanation:
Read the labels and find the relationship. Go the the bottom line labeled 'weight' and find the three pound mark. Then move up to find where the line is, showing the price for that weight. Once there, move to the left, labeled 'cost' and find the price for that weight.
Answer:
a.) $5
Step-by-step explanation:
On the x-axis (weight), find the 3-pound mark. Move up to find the price. As you can see, there are two possible prices for 3 pounds: $5 and $10.
Look at the dots. If a circle is filled in, it includes that value. If it is empty, it does not include the indicated value. Therefore, the dark blue circle is the correct price.
At this spot, move over to the left to find the price:
$5
:Done
(The account above is also mine. I just saw a better way to explain the answer, but I couldn't edit it anymore. If you are going to thank or give the crown or rate, please give it to the other account. Thanks!!!)
An article in the Archives of Internal Medicine reported that in a sample of 244 men, 73 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 232 women, 44 had elevated cholesterol levels.Can you conclude that the proportion of men with elevated cholesterol levels is greater than the proportion of women? Let M denote the proportion of men with elevated cholesterol levels and let W denote the proportion of women with elevated cholesterol levels. Use the level of significance and the critical value method. (a) Write the hypotheses for the test.(b) Calculate the difference in sample proportions between groups.(c) Using 2PropZTest, calculate a P-value.(d) Fill in the blanks to explain what the P-value means: If there is ____________ between the proportions of high cholesterol, then there is a ___ % chance that there is a _______ or _______ percentage point difference between the high cholesterol rates.(e) What is your decision about the null hypothesis? Why?
Answer:
We conclude that the null hypothesis is rejected which means the proportion of men with elevated cholesterol levels is greater than the proportion of women.
Step-by-step explanation:
We are given that an article in the Archives of Internal Medicine reported that in a sample of 244 men, 73 had elevated total cholesterol levels.
In a sample of 232 women, 44 had elevated cholesterol levels.
Let [tex]p_M[/tex] = population proportion of men with elevated cholesterol levels.
[tex]p_W[/tex] = population proportion of women with elevated cholesterol levels.
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]p_M \leq p_W[/tex] {means that the proportion of men with elevated cholesterol levels is smaller than or equal to the proportion of women}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_M > p_W[/tex] {means that the proportion of men with elevated cholesterol levels is greater than the proportion of women}
The test statistics that would be used here Two-sample z test for proportions;
T.S. = [tex]\frac{(\hat p_M-\hat p_W)-(p_M-p_W)}{\sqrt{\frac{\hat p_M(1-\hat p_M)}{n_M} +\frac{\hat p_W(1-\hat p_W)}{n_W}} }[/tex] ~ N(0,1)
where, [tex]\hat p_M[/tex] = sample proportion of men with elevated cholesterol levels = [tex]\frac{73}{244}[/tex] = 0.299
[tex]\hat p_W[/tex] = sample proportion of women with elevated cholesterol levels = [tex]\frac{44}{232}[/tex] = 0.189
[tex]n_M[/tex] = sample of men = 244
[tex]n_W[/tex] = sample of women = 232
(b) The difference in sample proportions between groups is given by = [tex]\hat p_M-\hat p_W[/tex] = 0.299 - 0.189 = 0.11
(c) So, the test statistics = [tex]\frac{(0.299-0.189)-(0)}{\sqrt{\frac{0.299(1-0.299)}{244} +\frac{0.189(1-0.189)}{232}} }[/tex]
= 2.82
The value of z test statistics is 2.82.
Now, the P-value of the test statistics is given by;
P-value = P(Z > 2.82) = 1 - P(Z < 2.82)
= 1 - 0.9976 = 0.0024
(d) If there is difference between the proportions of high cholesterol, then there is a 95% chance that there is a 11% percentage point difference between the high cholesterol rates.
(e) Since, in the question we are not given with the level of significance so we assume it to be 5%.
As the P-value of the test statistics is less than the level of significance as 0.0024 < 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the proportion of men with elevated cholesterol levels is greater than the proportion of women.
Final answer:
To test if the proportion of men with high cholesterol is greater than the proportion of women, we need to define hypotheses, calculate the difference in sample proportions, determine the P-value, interpret the P-value, and make a decision about the null hypothesis.
Explanation:
(a) The hypotheses for the test are:
H0: M ≤ W
Ha: M > W
(b) To calculate the difference in sample proportions between groups, subtract the proportion of women with elevated cholesterol levels from the proportion of men with elevated cholesterol levels:
Difference = M - W = 73/244 - 44/232
(c) To calculate the P-value using the 2PropZTest, you need the sample proportions, sample sizes, and the alternative hypothesis. The P-value would provide the probability of observing a difference as extreme as the one calculated, assuming the null hypothesis is true.
(d) The P-value represents the probability of observing a difference as extreme as the one calculated, assuming the null hypothesis is true. Therefore, if there is a low P-value, it indicates that there is strong evidence to reject the null hypothesis and conclude that the proportions of high cholesterol are different between men and women, with a certain percentage point difference between the rates.
(e) The decision about the null hypothesis would be based on the P-value. If the P-value is less than the level of significance (alpha), which is not provided in the question, we would reject the null hypothesis. However, the given solution does not provide the P-value or the level of significance, so a specific decision cannot be determined.
A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,414; 1,549; 2,108; 9,348; 21,829; 4,300; 5,942; 5,721; 2,825; 2,044; 5,481; 5,200; 5,855; 2,749; 10,012; 6,355; 26,999; 9,412; 7,681; 3,199; 17,498; 9,199; 7,381; 18,312; 6,557; 13,711; 17,769; 7,494; 2,769; 2,862; 1,264; 7,286; 28,166; 5,082; 11,621.
Assume the underlying population is normal.
Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States. State the confidence interval
Final answer:
To construct a 95% confidence interval for the population mean enrollment at community colleges in the United States, we can use the formula: Confidence Interval = sample mean ± (critical value) × (sample standard deviation / √n). Using the provided sample data, the confidence interval is approximately (5,814.61, 9,173.27).
Explanation:
To construct a 95% confidence interval for the population mean enrollment at community colleges in the United States, we can use the formula:
Confidence Interval = sample mean ± (critical value) × (sample standard deviation / √n)
Given the sample enrollment figures, we can calculate the sample mean as 7,493.94 and the sample standard deviation as 6,650.43. The critical value for a 95% confidence level for a normal distribution is approximately 1.96. With n = 35, the sample size, we can substitute these values into the formula to find the confidence interval:
Confidence Interval = 7,493.94 ± (1.96) × (6,650.43 / √35)
Calculating the values, the confidence interval for the population mean enrollment at community colleges in the United States is approximately (5,814.61, 9,173.27).
The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost, in dollars, of producing the video game systems can be modeled by 5x2 – x + 100, where x is the number of video game systems sold. If profit is the difference between the revenue and the cost, what expression represents the profit?
Profit can be modeled by the polynomial expression .
If 1,000 video game systems are sold, the company’s profit is $ .
Answer: 2,820 (use the profit equation from the first question )
Answer:
for edg its 3x - 180 and the other one is 2820
Step-by-step explanation:
bc i just took it
Jeff want to build a model to predict the relationship between graduate GPA and first job salary. He collected data below. Jeff want to use the regression model GPA (x) Annual Salary y xy X*x 2.8 19,815 55,482.00 7.84 3.4 23,037 78,325.80 11.56 3.2 21,963 70,281.60 10.24 3.8 25,185 95,703.00 14.44 3.2 22,396 71,667.20 10.24 3.4 24,388 82,919.20 11.56 Sum 19.8 136,784.00 454,378.80 65.88 Q27. What is the approximate intercept b0? Find the closest
Answer:
Approximate intercept is 4,515.33
Step-by-step explanation:
The intercept of the GPA grades and the first job salary can be determined by using the intercept function in excel spreadsheet.
In order to ascertain the intercept,we apply the intercept formula:
=intercept(known values of y,known values of x)
known values of y are the dependent variables.The first annual salary in this scenario is dependent upon the GPA of the graduate in question
Known values of x are the independent variables upon which the dependent ones rely for their values i.e the GPA itself
As found in the attached,the intercept is 4,515.33
A 2-column table with 10 rows. Column 1 is labeled Classes with entries Hall, Benny, Leggo, Talle, Flower, Gomez, Range, Book, Toledo, Rich. Column 2 is labeled Watch News with entries 35, 45, 26, 32, 46, 38, 39, 40, 26, 72. Number 72 is crossed out.
Carol wanted to see how the data would change if she did not include the outlier in her study. The results are shown in the table with the outlier crossed out.
Find each listed value.
Range =
Median =
Lower quartile and upper quartile =
Interquartile range =
Which value was affected the most?
Answer:
range: 20
median: 38
Lower quartile and upper quartile: 29 and 42.5
Interquartile range: 13.5
Which value was affected the most: range
The value of the range was mostly affected after the outlier crossed out.
This is determined by calculating all the values before and after the outlier 72.
How the range of data is calculated?The range of data is calculated by taking the difference between the highest value and the lowest value of the data set.
Range=maximum value - minimum value
Given data:Given a table of data points as 35, 45, 26, 32, 46, 38, 39, 40, 26, 72.
Finding the values given in the list before crossing out the outlier 72:
Range: 72-26=46
Median: 38.5
Arranging in the ascending order
26, 26, 32, 35, 38, 39, 40, 45, 46, 72
Then, median=[tex]\frac{38+39}{2}[/tex]=38.5
Lower quartile: Q1=32
Upper quartile: Q3=45
IQR: Q3-Q1=45-32=13
Finding the values given in the list after crossing out the outlier 72:
The data set now has 9 elements with data points as 35, 45, 26, 32, 46, 38, 39, 40, 26
Range: 46-26=20
Median: 38
Arranging in the ascending order
26, 26, 32, 35, 38, 39, 40, 45, 46
Since odd number of data points, the median is at the middle point which is 38
Lower quartile: Q1=29
[tex]Q_1=\frac{1}{4} (n+1)[/tex] th term (n=9)
Q1=10/4=2.5
So, the median is between 26 and 32 which is 29
Upper quartile: Q3=42.5
[tex]Q_3=\frac{3}{4} (n+1)[/tex] th term (n=9)
Q3=7.5
So, the median is between 40 and 45 which is 42.5
IQR: Q3-Q1=42,5-29=13.5
From these results, it is observed that only the range is affected mostly when outlier 72 is removed.
Learn more about the range here:
https://brainly.com/question/16399146
#SPJ2
Find the degree of the monomial.
8m2n4
Answer:
6
Step-by-step explanation:
The degree of 8m^2n^4 is the sum of the exponents of the variables:
2 + 4 = 6
The monomial has degree 6.
Smart phone users between 18 and 24 years of age send on average 64 text messages per day with a standard deviation of 10 messages about what percentage of smartphone users in this age groups in less than 51 text messages per day
Answer:
9.68%
Step-by-step explanation:
Look at this figure. Find the value of X.
Answer:
x=15
Step-by-step explanation:
Since the sides are equal, the angles must be equal, so
3x = 5x - 30
Solve and get:
3x - 5x = - 30
2x = 30
x = 15
In the figure, both angles are the same since there is a little line on both sides of the figure. That means that they are the same in length. This also tells us that both angles will have the same measure.
We can write an equation as:
3x = 5x - 30
Solve for x:
3x = 5x - 30
~Subtract 5x to both sides
3x - 5x = 5x - 5x - 30
~Simplify
-2x = -30
~Divide -2 to both sides
-2x/-2 = -30/-2
~Simplify
x = 15
Best of Luck!
The volume of Box A
of Box A is the volume of Box B. What is the height of Box A
has a base area of 32 square centimeters?
32 cm?
10 cm
Box B
Box A
8 cm
16 cm
Answer:
4cm; 1.79 cm.
Step-by-step explanation:
Okay, this question is about the Calculation involving the volume of a box with a square base and a height.
So, the volume of the box = length × width × height ---------------------------(1).
Therefore, we are going to make use of Equation (1) to determine the solution to this question, so that we have;
For Box A; We are given our volume to be equal to 32cm^3, height = 2cm, length and width = x cm.
For Box B = 32 = 2x^2.
x^2 = 16..
x = 4.
Note that Length = width.
For box B=> 32 = 10x^2.
x = √3.2 cm. = 1.79 cm.
Final answer:
The height of Box A with a base area of 32 square centimeters is 1 cm.
Explanation:
To find the height of Box A, we need to use the formula for the volume of a rectangular box, which is V = length * width * height. Given that the base area of Box A is 32 cm2 and assuming that the volume of Box A is equal to the volume of Box B, we can express their volumes as proportional to each other based on their dimensions.
Box A has a volume of 32 cm³ with a base area of 32 square centimeters.
Volume of Box A = Base Area x Height = 32 cm² x Height = 32 cm³
Height of Box A is 1 cm.
The management of ABC Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using a 0.1 level of significance, can we conclude that the assembly time using the new method is faster? Use only the P-Value approach. State H0 and Ha (20 pts)
Answer:
Null hypothesis:[tex]\mu \geq 42.3[/tex]
Alternative hypothesis:[tex]\mu < 42.3[/tex]
[tex]t=\frac{40.6-42.3}{\frac{2.7}{\sqrt{24}}}=-3.085[/tex]
The degrees of freedom are given by:
[tex]df=n-1=24-1=23[/tex]
Then the p value can be calculated with this probability:
[tex]p_v =P(t_{(23)}<-3.085)=0.0026[/tex]
If we compare the p value and the significance lvel of 0.1 we see that the p value is lower than the signficance level we can reject the null hypothesis and we can conclude that the the assembly time using the new method is faster
Step-by-step explanation:
Information given
[tex]\bar X=40.6[/tex] represent the sample mean for the new method
[tex]s=2.7[/tex] represent the sample standard deviation
[tex]n=24[/tex] sample size
[tex]\mu_o =42.3[/tex] represent the value that we want to test
[tex]\alpha=0.1[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if the assembly time using the new method is faster, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 42.3[/tex]
Alternative hypothesis:[tex]\mu < 42.3[/tex]
The statistic for this case is given:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
The statistic would be given by:
[tex]t=\frac{40.6-42.3}{\frac{2.7}{\sqrt{24}}}=-3.085[/tex]
The degrees of freedom are given by:
[tex]df=n-1=24-1=23[/tex]
Then the p value can be calculated with this probability:
[tex]p_v =P(t_{(23)}<-3.085)=0.0026[/tex]
If we compare the p value and the significance lvel of 0.1 we see that the p value is lower than the signficance level we can reject the null hypothesis and we can conclude that the the assembly time using the new method is faster
If f(x)=4x+1 and g(x) = x^2-5 find (f-g)(x)
Answer:
-x^2 + 4x + 6
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) =
4x + 1 - (x^2 -5) =
-x^2 +4x + 6
Maria drew a number line divided into 8 equal parts what fraction names point b on the number line ?
Answer:
The fraction that named point b is one-quarter
Step-by-step explanation:
Given
Nunber line divided into 8 parts (see attachment)
Required
Name the fraction
Your question is incomplete. However, I'll make use of my attachment to answer the question.
If you follow the steps I'll highlight, you'll arrive at your answer.
To name a fraction using a number line, first you need to count the total number of partitions on the number line.
In this case, it is 8.
Then we count the number of partitions or points from the index point till the point that needs to be named.
Between index 0 and point b, there are 2 points.
The next step is to represent this using a fraction.
The fraction is 2/8
I.e 2 points out of a total of 8 points
Fraction = 2/8 (Simplify fraction)
Fraction = ¼
The fraction can no longer be simplified;
The next step is to name it.
¼ in words in 0ne quarter.
Hence, the fraction that named point b on the number line is one-quarter
Mrs. Jones wants to cover half of her 5 x 7 rectangular bulletin board with two different colors (white and black) as show in the picture below. How much black paper does she need?
Which number is represented by point E on the graph?
Answer:
It'll be -0.25
Step-by-step explanation:
Notice how it is to the left of zero, anything to the left of zero is negative. With that in mind, we can eliminate A. The half mark between 0 and -1 represents 0.50, and since it goes by quarters, the E is at the first quarter, which is 0.25. Hopefully this helps!
in simplest form 3n-13-5n+6n
Answer:
THE ANSWER IS 4n - 13
What is the solution to this equation 5= 2/5 a
9514 1404 393
Answer:
a = 25/2 = 12.5
Step-by-step explanation:
Multiply both sides of the equation by the inverse of the coefficient of 'a'.
(5/2)(5) = (5/2)(2/5)a
25/2 = a = 12.5
Answer: Hint Not 4 3/5
Step-by-step explanation:
Find the slope of the line identified by the equation 6x+9y=18
Answer:
1,2
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
6x+9y=18
9y=-6x+18
y=-6x/9+18/9
y=-2/3x+2
Since y=mx+b, where m = slope and b = y-intercept...
the slope is -2/3
A survey by the Pew Research Center found that social networking is popular in many nations around the world. The file here contains the level of social media networking (measured as the percent of individuals polled who use social networking sites) and the GDP per capita based on purchasing power parity (PPP) for each of 25 selected countries. At the 0.001 level of significance, is there a significant linear relationship between GDP and social media usage?
Answer:
Check the explanation
Step-by-step explanation:
Social Median GDP (PPP), Y X^2 Y^2 XY
usage (%), X
18085 66 327067225 4356 1193610
15833 56 250683889 3136 886648
6117 47 37417689 2209 287499
6559 42 43020481 1764 275478
9948 40 98962704 1600 397920
15264 41 232989696 1681 625824
17522 50 307020484 2500 876100
4661 34 21724921 1156 158474
9833 54 96687889 2916 530982
5186 22 26894596 484 114092
18579 69 345179241 4761 1281951
19105 67 365001025 4489 1280035
13580 59 184416400 3481 801220
12115 49 146773225 2401 593635
15614 44 243796996 1936 687016
5289 45 27973521 2025 238005
7508 29 56370064 841 217732
11521 43 132733441 1849 495403
2824 32 7974976 1024 90368
3542 27 12545764 729 95634
1855 36 3441025 1296 66780
2056 35 4227136 1225 71960
3142 7 9872164 49 21994
1473 13 2169729 169 19149
Total 227211 1007 2984944281 48077 11307509
Sample size: n=24
Now,
Syy= 5824.95833
833909342.6
ry 1774114.125 ry
The coefficient of correlation is :
0.805
The coefficient of correlation indicates a strong and positive correlation between the variables.
(b)
For hypotheses correct option is (a).
The test statistics is
= 6.36
Degree of freedom: df=n-2= 22
The p-value is: 0.000
The critical value of t is to/2 = 2.07
Since p-value is less than 0.05 so we reject the null hypothesis. There is significant evidence ....
The atomic bomb In october 1945, the Gallup organization asked 147 randomly sampled Americans, Do you think we can develop a way to protect ourselves from the atomic bombs in case other countries tried to use them against us? with 788 responding yes. Did a majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945? Use the a= 0.05 level of significance.
Note: The sample size cannot be 147 as you wrote in the question because the number of those that respondend yes (788) cannot be more than the sample size.
Complete Question:
The atomic bomb in 1945, the Gallup organization asked 1487 randomly sampled Americans, Do you think we can develop a way to protect ourselves from the atomic bombs in case other countries tried to use them against us? with 788 responding yes. Did a majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945? Use the a= 0.05 level of significance.
Answer:
At 0.05 significance level, we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945
Step-by-step explanation:
From the attached file:
Zcritical = 1.96
Zcalculated = 1.55
Since Zcritical is greater than Zcalculated, the null hypothesis will be accepted.
This means that we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945
Foster makes sandwiches at a deli. There are 10 1/2 pounds of turkey at the deli. How many 1/4 -pound turkey sandwiches can he make?
Answer:
foster can make 42 1/4-pound turkey sandwiches!!!
explanation: 10.5 divided by 1/4 is 42
Answer:
convert pounds to ounces. theres 16 oz. in a pound.
16x10lb=160 oz + 8 additional ounces = 168 oz of meat. theres 4 oz in 1/4 lb so 168 ÷ 4 = 42 sandwiches
Consider a drug testing company that provides a test for marijuana usage. Among 317 tested subjects, results from 25 subjects were wrong (either a false positive or a falsenegative). Use a 0.05 significance level to test the claim that less than 10 percent of the test results are wrong. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0H0: pequals=0.10.1 Upper H 1H1: pless than<0.10.1 B. Upper H 0H0: pless than<0.10.1 Upper H 1H1: pequals=0.10.1 C. Upper H 0H0: pequals=0.10.1 Upper H 1H1: pgreater than>0.10.1 D. Upper H 0H0: pequals=0.10.1 Upper H 1H1: pnot equals≠0.10.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. (Round to two decimal places as needed.) Identify theP-value for this hypothesis test. The P-value for this hypothesis test is nothing. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Fail to rejectFail to reject Upper H 0H0. There is notis not sufficient evidence to warrant support of the claim that less than 1010 percent of the test results are wrong. B. RejectReject Upper H 0H0. There is notis not sufficient evidence to warrant support of the claim that less than 1010 percent of the test results are wrong. C. RejectReject Upper H 0H0. There isis sufficient evidence to warrant support of the claim that less than 1010 percent of the test results are wrong. D. Fail to rejectFail to reject Upper H 0H0. There isis sufficient evidence to warrant support of the claim that less than 1010 percent of the test results are wrong.
Answer:
We conclude that we fail to reject [tex]H_0[/tex] as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.
Step-by-step explanation:
We are given that among 317 tested subjects, results from 25 subjects were wrong.
We have to test the claim that less than 10 percent of the test results are wrong.
Let p = proportion of subjects that were wrong.
So, Null Hypothesis, [tex]H_0[/tex] : p = 10% {means that 10 percent of the test results are wrong}
Alternate Hypothesis, [tex]H_A[/tex] : p < 10% {means that less than 10 percent of the test results are wrong}
The test statistics that would be used here One-sample z proportion statistics;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p (1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of test results that were wrong = [tex]\frac{25}{317}[/tex] = 0.08
n = sample of tested subjects = 317
So, test statistics = [tex]\frac{0.08-0.10}{\sqrt{\frac{0.08 (1-0.08)}{317} } }[/tex]
= -1.31
The value of z test statistics is -1.31.
Now, the P-value of the test statistics is given by the following formula;
P-value = P(Z < -1.31) = 1 - P(Z [tex]\leq[/tex] 1.31)
= 1 - 0.9049 = 0.095
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test. Since our test statistics is more than the critical value of z as -1.31 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that we fail to reject [tex]H_0[/tex] as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.
SE
LAILLIU
A six-sided die is rolled 50 times.
The number 4 appears 18 times.
What is the experimental probability
of getting a four?
A .08
B 17
C.32
D.36
Answer:
D.36
Step-by-step explanation:
The experimental probability of an outcome is the the number of experients in which this outcome happened divided by the total number of experiments.
In this problem:
The number 4 appeared 18 times in 50 experiments.
So the experimental probability of getting a four is 18/50 = 0.36.
So the correct answer is:
D.36
PLS HELPPPPPPP :((
Of 60 randomly chosen students surveyed, 16 chose the aquarium as their favorite field trip. There are 720 students in the school. Predict the number of students in the school who would choose the aquarium as their favorite field trip.
Answer:
Step-by-step explanation:
Final answer:
Using proportional reasoning from the sample survey where 16 out of 60 students favored the aquarium, it's predicted that approximately 192 out of 720 students in the entire school would prefer the aquarium as their favorite field trip.
Explanation:
We can predict the number of students who would choose the aquarium as their favorite field trip by using proportional reasoning based on the sample provided. In the survey, 16 out of 60 students chose the aquarium which gives us the ratio of 16/60 or approximately 0.267 (rounded to three decimal places).
To find out how many out of the entire school population of 720 students would likely choose the aquarium, we multiply the total number of students by this ratio:
(Total number of students) times (Ratio favoring aquarium)
720 times 0.267 = 192
Therefore, we would predict that approximately 192 students in the school would choose the aquarium as their favorite field trip.
The sum of a brother's and sister's ages is 57 years.If the brother is 5 years older than his sister,find their ages.
Answer: Brother = 31, sister = 26
Step-by-step explanation:
first, take 57, and minus the difference of the ages (5) = 52. divide that between both of them, getting 26, and 26. Since the brother is 5 years older, add 5 to one of the 26's and you get 26, and 31.
Check if its correct: 26+31=57
We can make formulas for this.
Assume x=male age and y=female age.
From this problem, we know that x+y=57 and x-5=y since the brother is older. We can do substitution and plug in the second formula into the first.
x+(x-5)=57
2x-5=57 Add like terms (x)
2x=62 Isolate
x=31
Then plug this into the original to find out y.
x+y=57
31+y=57
y=26
When a randomly selected number A is rounded off to the nearest integer R_A, it is reasonable to assume that the round-off error A- R_A is uniformly distributed on the interval (-.5,.5) If 50 numbers are rounded off to the nearest integer and then averaged, approximate the probability that the resulting average differs from the exact average of the 50 numbers by more than 0.1 (round your answer to 4 digits). 0.0142
Answer:
Check Explanation.
Step-by-step explanation:
Note that the sample size given in the question is fifty(50).
The round-off error is then uniformly distributed on the interval (-.5,.5). Which makes us to have a uniform distribution parameter a = -0.5 and b = 0.5.
Step one: look for the mean.
The mean, μ = (a + b)/2 = (- 0.5 + 0.5)/2 = 0. Which means that our mean is zero(0).
Step two: Calculate the standard deviation from the formula below;
Standard deviation,σ = (b - a)/√12.
Standard deviation,σ = (0.5 +0.5)/√12.
Standard deviation,σ = 0.2887.
Step three: Calculate the standard error.
standard error = σ/√n.
standard error = 0.0408
Therefore, the probability,P ;
Probability, P = 1 - P (- 0.1 < X < 0.1 ) = 1 - P (( -0.1 - 0) / 0.041) < Z < (0.1-0) / 0.041) = 1 - P ( -2.45 < Z < 2.45) = 1 -(0.9929 - 0.0071) = 0.0142.
DEL
Simplify this algebraic expression. 8b -
2b - 4*
ELLER
Step-by-step explanation:
Given expression is [tex]8b -2b -4[/tex]
To simplify any expression we combine like terms
Any expression contains constant and variables.
the terms that contains variables are 8b and -2b .the constant term is -4
To simplify combine the like terms 8b and -2b
[tex]8b-2b= 6b[/tex]
[tex]8b -2b -4[/tex]
[tex]6b -4[/tex]
So the simplified expression is [tex]6b -4[/tex]
An opinion poll asks a simple random sample of 100 college seniors how they view their job prospects. In all, 53 say "good." Does the poll give convincing evidence to conclude that more than half of all seniors think their job prospects are good? If p = the proportion of all college seniors who say their job prospects are good, what are the the hypotheses for a test to answer this question?
Answer:
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
Step-by-step explanation:
Information provided
n=100 represent the random sample ofcollege senior selected
X=53 represent the college seniors who say good
[tex]\hat p=\frac{53}{100}=0.53[/tex] estimated proportion of seniors who think their job prospects are good
[tex]p_o=0.5[/tex] is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we have:
[tex]z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6[/tex]
The p value for this case would be given by
[tex]p_v =P(z>0.6)=0.274[/tex]