Answer:
The median number of miles that Sam drove during those months is 1044 miles
Step-by-step explanation:
The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median.
For a set of n values
First we order the values in an increasing way.
If n is odd, the median is the value at the position (n+1)/2
If n is even, the median is the average of the values at the positions n/2 and (n/2) + 1
In this problem:
6 values
Ordered in an increasing way:
880, 997, 1002, 1086, 1534, 1637
6 is an even value.
6/2 = 3. The third element is 1002
6/2 + 1 = 4. The fourth element is 1086.
Average: (1002 + 1086)/2 = 1044
The median number of miles that Sam drove during those months is 1044 miles
Compute the distance between (a,b,c) and (-2,5,6).
a.
(a + 2)^2 + (b - 5)^2 + (c - 6)^2
c.
a + b + c -(-2 + 5 + 6)
b.
sqrt((a+2)^2+(b-5)^2+(c-6)^2)
d.
((a + 2) + (b - 5) + (c - 6))^2
Answer:
b. sqrt(a+2)^2+(b-5)^2+(c-6)^2
Step-by-step explanation:
Use distance formula
sqrt (a-(-2)^2 + (b-5)^2 + (c-6) ^2
sqrt (a+2)^2 +(b+5)^2 + (c-6)^2
Answer:
B
Step-by-step explanation:
took it on edge, it's the right answer :)
Use the function w = c + 9 to find the value of w when c = 2
Answer:
The value of w is 11 when c = 2
Step-by-step explanation:
Since c = 2, then we can just plug it into the given equation to find w.
[tex]w=(2)+9[/tex]
[tex]w=11[/tex]
Help me solve this problem
Answer: -2x+1
Step-by-step explanation:
Slope formula. -3-3/2- -1 = -6/3=-2=m
Y=mx+b use(-1,3) -1=x 3=y
3=-2(-1)+b
3=2+b
Subtract 2
1=b
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?.
a. 6 by 6
C. 4 by 9
b. 3 by 12
d. 4 and 8
Please select the best answer from the choices provided
Answer:
B. 3 by 12
Step-by-step explanation:
The rectangle is four times as long as it is wide,
(3 times 4=12)
and has an area of 36
(3 times 12=36)
so this is the correct answer.
If the area of the given rectangle is 36 square inches, then the length of rectangle is 12 inches and the breadth of rectangle is 3 inches.
What is area?"Area is the quantity that expresses the extent of a region on the plane or on a curved surface."
What is rectangle?"A rectangle is a shape with four straight sides and four angles of 90 degrees (right angles)."
Area of rectangle = 36 square inches
Let the width of rectangle be y
Length of rectangle be 4y
Area of rectangle = length × breadth
y×4y = 36
[tex]4y^{2} = 36[/tex]
[tex]y^{2}=9\\y=\sqrt{9}[/tex]
[tex]y=3[/tex]
Hence, the width of the rectangle is 3 inches and the length of the rectangle is 12 inches.
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Use this information to answer the following 7 questions.
A large financial institution is interested in training its college educated workforce "Advanced Microsoft Excel". Management is considering 3 approaches: online, traditional classroom and hybrid (a mix of both). Prior to launching the program throughout the entire organization, they decided to pilot test the three approaches. Because they believed that educational background may affect the results, they selected 3 employees from each of 10 different college major program of study (liberal arts, accounting, economics, management, marketing, finance, information systems, computer science, operations, other), and randomly assigned each to one of the three approaches. At the end of training, each participant took an exam. Below is the partially completed ANOVA table.
Source DF SS MS F P-value
Treatment (Training) 2 171.47
Block (Major) Error 9 2239.47
Error 18 206.53
Total
The above study is ________.
a. an observational study
b. an experimental study
Answer:
1) b. an experimental study
2) a. μ1=μ2=μ3
3) a. MSE
4) MSTR =85.735
5) value of the F-statistics =7.472
6) b. 0.004
7) a. We reject the null hypothesis
8) b. Yes
Step-by-step explanation:
See the attached image
6/2 as a mixed number
Answer:
Step-by-step explanation:
6 /2
=3
Good luck honey!
A state Department of Transportation claims that the mean wait time for various services at its different locations is at most 6 minutes. A random sample of 34 services at different locations has a mean wait time of 10.3 minutes and a standard deviation of 8.0 minutes. Is there enough evidence to reject the claim at alpha equals 0.01? Find the critical value. Round your answer to the thousandths place.
To determine whether there is enough evidence to reject the claim of the state Department of Transportation, a hypothesis test needs to be performed. The null hypothesis (H0) is that the mean wait time is 6 minutes or less, while the alternative hypothesis (H1) is that the mean wait time is greater than 6 minutes. Using a one-sample t-test, the test statistic is calculated and compared to the critical value obtained from the t-distribution table or calculator. In this case, the test statistic is greater than the critical value, indicating that there is enough evidence to reject the null hypothesis.
Explanation:To determine whether there is enough evidence to reject the claim of the state Department of Transportation, we need to perform a hypothesis test.
Hypotheses:
Let:
μ be the mean wait time for various services at different locations.
The null hypothesis (H0) is that the mean wait time (μ) is 6 minutes or less:
H0: μ ≤ 6
The alternative hypothesis (H1) is that the mean wait time (μ) is greater than 6 minutes:
H1: μ > 6
Test statistic:
We will use a one-sample t-test since the population standard deviation is unknown.
The test statistic (t) is calculated using the formula:
t = (Xbar - μ)/(s/√(n))
Where:
Xbar is the sample mean - 10.3 minutes,
μ is the claimed mean - 6 minutes,
s is the sample standard deviation - 8.0 minutes, and
n is the sample size - 34.
Critical value:
To find the critical value, we need to determine the rejection region using the significance level (alpha) of 0.01 and the degrees of freedom (df) which is n - 1 = 33.
From the t-distribution table or calculator, the critical value for a one-tailed test at alpha = 0.01 and df = 33 is approximately 2.449.
Conclusion:
The test statistic (t) = (10.3 - 6)/(8.0/√(34)) = 3.720.
Since the test statistic (t) = 3.720 > 2.449 (the critical value), we have enough evidence to reject the null hypothesis.
Therefore, we can conclude that there is sufficient evidence to reject the claim of the state Department of Transportation at alpha = 0.01.
Which of the following life processes is not necessary for an individual organism to survive, but is necessary for the survival of the species?
A. digestion
B. respiration
C. regulation
D. reproduction
pls help me
Answer:
D. reproduction
Step-by-step explanation:
If there is no reproduction involved, then the species will go extinct
Answer:
D. reproduction
Step-by-step explanation:
Which expression is equivalent to 6(3x-4)
Answer:
18x+24
Step-by-step explanation:
For this, you have to multiply 6 to the numbers inside the parenthesis.
SO, 6 x 3x and 6 x 4
6 x 3x=18x
6 x 4=24
The answer will be 18x+24
Plzzzzz help
45
55
95
Answer:
95
Step-by-step explanation:
yeah
if you sell a stock for more money than you paid for it, you have a gross capital loss. true or false
Answer:False
Step-by-step explanation:
False
Whenever a stock is sold more money than what is paid for it is termed as Gain or profit
For example if an item is bought for [tex]\$100[/tex] and it is sell for [tex]\$120[/tex]
then there is a profit of
[tex]\Rightarrow \frac{120-100}{100}\times 100[/tex]
[tex]\Rightarrow 20\%[/tex]
or a gain of [tex]\$20[/tex]
Answer: The answer is False, i know this because i took this quiz on edge and it was correct as false <3 hope this helps
Step-by-step explanation: brainliest please :3
You finance a $500 washing machine completely on credit, you will just pay the minimum payment each month for the next three months. The APR is 18.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the carry-over balance for month 3 in the table below:
Step-by-step explanation:
Let me know if it's all right! Good luck
Historically, a certain region has experienced 92 thunder days annually. (A "thunder day" is day on which at least one instance of thunder is audible to a normal human ear). Over the past fifteen years, the mean number of thunder days is 72 with a standard deviation of 38. Can you conclude that the mean number of thunder days is less than 92? Use the level of significance.
Answer:
We conclude that the mean number of thunder days is less than 92.
Step-by-step explanation:
We are given that Historically, a certain region has experienced 92 thunder days annually.
Over the past fifteen years, the mean number of thunder days is 72 with a standard deviation of 38.
Let [tex]\mu[/tex] = mean number of thunder days.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 92 days {means that the mean number of thunder days is more than or equal to 92}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 92 days {means that the mean number of thunder days is less than 92}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean number of thunder days = 72
s = sample standard deviation = 38
n = sample of years = 15
So, test statistics = [tex]\frac{72-92}{\frac{38}{\sqrt{15} } }[/tex] ~ [tex]t_1_4[/tex]
= -2.038
The value of z test statistics is -2.038.
Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.
Since our test statistics is less than the critical value of t as -2.038 < -1.761, 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 mean number of thunder days is less than 92.
mDE = 115 and mbc =42. Find m
A cereal company is putting 1 11 of 3 33 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 3 1/31, slash, 3. Adam wonders how many boxes he should expect to buy to get all 3 33 prizes. He carried out 32 3232 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 33 prizes in that trial. 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13# of boxes purchased Use his results to estimate the probability that it takes 9 99 or more boxes to get all 3 33 prizes. Give your answer as either a fraction or a decimal. P ( 9 or more boxes ) ≈ P(9 or more boxes)≈P, left parenthesis, 9, start text, space, o, r, space, m, o, r, e, space, b, o, x, e, s, end text, right parenthesis, approximately equals
There is 18.75% probability that it takes 9 or more boxes to get all 3 prizes.
The calculation is as follows:No. of Boxes | frequency
3 | 12
4 | 4
5 | 5
6 | 5
7 | 0
8 | 0
9 | 2
10 | 2
11 | 0
12 | 2
Here 9 or more boxes represent that it is equal to 9 boxes or more than 9 boxes.
P(x ≥ 9) = No. of boxes equal or more than 9 / total no. of boxes
And, The total no. of boxes is 32
From the above data, we have to count the number of boxes equal to or more than 9. (6 times) i.e.
[tex]P(x $\geq$ 9) = 6\div 32\\\\P(x $\leq$ 9) = 3\div 16[/tex]
P(x ≥ 9) = 0.1875
P(x ≥ 9) = 18.75%
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How are the measures of angles, arcs and segments formed by secant lines that intersect within a circle related?
Answer:
The answers below ._.
Step-by-step explanation:
A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
The formation of secant lines that intersect within a circle is related when a secant and a tangent or two tangents intersect each other outside a circle.
What is a secant line?A secant line is a straight line that connects two points on a curve. The secant line approaches a tangent line when the two points are drawn together.
So, If a tangent and a secant, or two tangents intersect at the exterior side of a circle, the angle created has a measure equal to one-half the positive difference between the intercepted arcs' measures.
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one length of a swimming pool is 25m Alison swims 60 lengths of the pool. how many more lengths must Alison swim to complete 1 mile?
hint= 1 mile is 1.6km
Answer:
4
Step-by-step explanation:
1 mile = 1.6 km
1 km = 1000 m
1.6 * 1000 = 1600, So to swim 1 mile, she must swim 1600 m
She has already swam 60 lengths which is 1500 m because 60 (the number of lengths)*25 (the length of the pool) = 1500.
1600 (the amount she needs to swim) - 1500 (the amount she has already swam) = 100.
She needs to swim 100 m more, which is 4 lengths because 100/25 = 4.
How many centimeters is s ?
Answer:
4 cm
Step-by-step explanation:
The area of the net is 6 times the area of one square, so one square has an area of ...
(96 cm^2)/6 = 16 cm^2
The side length (s) is the square root of this value:
s = √(16 cm^2)
s = 4 cm
Complete the sentence below. The standard deviation of the sampling distribution of x overbarx, denoted sigma Subscript x overbarσx, is called the _____ _____ of the _____. The standard deviation of the sampling distribution of x overbarx, denoted sigma Subscript x overbarσx, is called the standard distribution of the sample.
Answer:
The standard deviation of the sampling distribution of x overbarx, denoted sigma Subscript x overbarσx, is called the standard error of the mean . The standard deviation of the sampling distribution of x overbarx, denoted sigma Subscript x overbarσx, is called the standard distribution of the sample.
Step-by-step explanation:
The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation. It is called the standard error of the mean (SEM) if the parameter or the statistic is the mean.
From a point 31 meters from the base of a telephone pole the angle of elevation to a worker on the pole is 35 degrees. The angle of elevation to the top of the pole is 68 degrees. Find the distance from the worker to the top of the pole.
Answer:
51.02 metres
Step-by-step explanation:
The pictorial representation of the problem is attached.
We are required to find the distance from the worker to the top of the pole, |DA| in the diagram.
In Triangle ABC
[tex]Tan 68^\circ =\frac{|AB|}{|BC|}\\Tan 68^\circ =\frac{|AB|}{31}\\|AB|=31 X Tan 68^\circ=72.73m[/tex]
In Triangle BCD
[tex]Tan 35^\circ =\frac{|BD|}{|BC|}\\Tan 35^\circ =\frac{|BD|}{31}\\|BD|=31 X Tan 35^\circ=21.71m[/tex]
The distance, |DA| =|AB|-|BD|
=72.73-21.71
=51.02 metres
The distance from the worker to the top of the pole is 51.02 metres.
Given that tan^2 0 =3/8, what is the value of sec 0?
Answer:
B…
Step-by-step explanation:
There are 250 economy class seats on board. The airline sells some economy class seats at a discount price of $440 in advance and reserve a number of seats to sell at the full price of $770. Suppose that Dallas One Airline can always sell all discount tickets, and the demand for full price tickets is normally distributed with a mean of 100 and a standard deviation of 25. What is the probability that there will be no empty seat when the Dallas One Airline uses the optimal protection level? Choose the closest number.
Answer:
Check the explanation
Step-by-step explanation:
Cost of over reserving full cost tickets, Co = $440 ( empty seats as we cannot get even the discounted revenue)
Cost of under reserving Cu = 770-440 = $330 ( because you sell more discounted tickets)
Now critical ratio = Cu / (Cu+Co) = 330/770 = 0.42857
Now for above critical ratio ,z = -0.18 ( refer standard normal distribution table)
Optimal protection level = mean +z*standard deviation = 100-0.18*25 = 95.5 = 96
The possible costs include: all the above. You may need to provide compensation to passenger and make alternative travel arrangements. Also passenger won't be happy by over booking and their will be loss of good will.
Help me find x and y plz and thank you!
Answer:
x=3, y=5
Step-by-step explanation:
To find x:
Because opposite sides of a parallelogram are congruent, we can set up the equation 2x+5=12x-25. Solving the equation will show that x=3.
To find y:
Using the same method as x, we can find that y=5.
Hope this helped!
Which statements are true about the x-intercepts of quadratic functions?
1) An x-intercept of a quadratic function is also called a zero of the function.
2)An x-intercept is located at the point on the function where the value of x is 0.
3)All quadratic functions have exactly one x-intercept.
4)A quadratic function can have up to two x-intercepts.
5)If x = a is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
Step-by-step explanation:
None needed.
The true statement is
An x-intercept of a quadratic function is also called a zero of the function.
A quadratic function can have up to two x-intercepts.
What is a quadratic function?A quadratic polynomial function has one or more variables and a variable with a maximum exponent of two. It is also known as the polynomial of degree 2 because the second-degree component in a quadratic function is the biggest degree term. A quadratic function must contain at least one term of the second degree. It possesses algebraic qualities.
we have,
The x-intercepts of quadratic functions,
The standard form of quadratic equation is
ax² + bx + c = 0
The zeroes of the quadratic functions are the values of x, which is also known as the x-intercept.
Because the degree of the polynomial is 2, there will be at least two x-intercept values.
The x-intercept is the x position at which the value of y is zero.
Let x = a be an x-intercept, and the function factor is (x - a).
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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 22 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm cubed. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x overbarequals8.02 cm cubed and sequals0.7 cm cubed. Conduct the appropriate test at the alphaequals0.01 level of significance. State the null and alternative hypotheses. Upper H 0: mu equals 9.02 Upper H 1: mu less than 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic.
The t-statistic is calculated as: -6.70
What is the test statistic?
The appropriate test to conduct at the alpha equals 0.01 level of significance is a one-tailed t-test.
The null hypothesis is that the mean hippocampal volume of adolescents with alcohol use disorders is equal to 9.02 cm cubed, while the alternative hypothesis is that the mean hippocampal volume is less than 9.02 cm cubed.
Thus:
H₀: μ = 9.02 cm³
Hₐ: μ < 9.02 cm³
The t-statistic is calculated from the formula:
t = (x - μ)/(σ/√n)
t = (8.02 - 9.02) / (0.7/√(22))
= -6.70.
Therefore, the t-statistic is -6.70
All members of our painting team paint at the same rate. If 20 members can paint a 4800 square foot wall in 36 minutes, then how long would it take for 9 members to paint a 4200 square-foot wall, in minutes?
Answer:
70 minutes
Step-by-step explanation:
We assume that the time is proportional to the area and inversely proportional to the number of members.
Then the time for the second job will be the first job's time multiplied by ...
20/9 . . . the inverse of the ratio of members painting
4200/4800 = 7/8 . . . the ratio of area being painted
The time it would take is ...
(36 min)(20/9)(7/8) = 70 min
It will take the smaller team 70 minutes to paint a 4200 ft² wall.
Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Which shows the correct amount in Carl’s checking account?
$51.75
$109.75
$167.75
$221.87
Answer:
$51.75
Hope this helps!
(Please mark brainliest!)
Answer:
Step-by-step explanation:
A. $51.75
The school estimates attendance at the varsity basketball games to be between 200 and 275, inclusive. What is the most the percent error could be? Round your answer to the nearest hundredth.
Answer:37.5 %
Step-by-step explanation:
Given
School attendance varies between 200 and 275
Most percentage error arises when attendance of 275 students is expected but only 200 students are present
Percentage error[tex]=\frac{275-200}{200}\times 100=37.5\ \%[/tex]
23
19
100
Expanded notation what it is
Answer:
Hello dear, your question might not be complete, but if you want to know the expanded notation form for the numbers given, here they are;
(1). 20 + 3.
(2). 10 + 9.
(3). 100 + 0 + 0
Step-by-step explanation:
Expanded notation can simply be defined as the depiction of numbers or digits for what they are really are that is to say the representation of the values of numbers or digits. The numbers can be shown or represented from ones, through to hundreds and many more.
For the numbers given in this question, below are the expanded notation form;
(1). 20 × 1 + 3 × 1 = Expanded Factors Form.
20 + 3 = Expanded Notation Form.
(2). 10 ×1 + 9 × 1 = Expanded Factors Form.
10 + 9 = Expanded Notation Form.
(3). 100 × 1 + 0 × 10 + 0 × 1 = Expanded Factors Form.
100 + 0 + 0 = Expanded Notation Form.
7. There are seven clarinet players in the concert band. In how
many ways can they be seated in seven chairs at a concert?
Use the Fundamental Counting Principle.
A. 5,040
C. 840
B. 2,520
D. 210
Answer:
5,040
Step-by-step explanation:
Fundamental Counting Principle states that if there are m ways of doing a thing and there are n ways of doing other thing then there are total m*n ways of doing both things.
Example : If there are 5 path to reach a destination and 3 mode of transport ( bike, car, bicycle) . Then are 5 * 3 ways to reach the destination using the different mode of transport available.
______________________________________
Given no of clarinet players = 7
no of chairs = 7
First player can be seated on seven chairs in seven ways
( for illustration let the seat be a , b, c , d , e , f , g. he can sit on any of the chairs)
since one chair is occupied and 6 chair is available
second player can be seated on 6 chairs in 6 ways
for illustration let the seat be a be occupied then b, c , d , e , f , g are the chairs on which second player can sit.
\
Similarly 3rd, 4th, 5th, 6th and 7th player can be seat on chairs in
5, 4 , 3, 2, and 1 way respectively.
___________________________________________
now using fundamental Counting Principle
since 7 players can sit on chair in
7 , 6, 5 , 4, 3 , 2, 1 ways then together they can be seated in
7 * 6 * 5 * 4 * 3 * 2 * 1 ways = 5, 040 ways