HELP! So confused.
I need help finding the measurement of the unknown vertical angles.
(2x+40)°=(4x+10)° are already known. If somebody could explain it to me, that'd be amazing. Thank you!

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

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.

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

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

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.

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!

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

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.

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.

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).

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.

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

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

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.

Answer:

9.68%

Step-by-step explanation:

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.

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]  

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.

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 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

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

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  

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!!!)

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

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!

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:

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 ....

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.

Answer:

THE ANSWER IS 4n - 13

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

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]