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BlackZzzverrR [31]
3 years ago
13

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a subur

ban school district with that of high schoolers in a school district of a large city. The researcher obtained an SRS of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be x1 = 6 hours, with a standard deviation s1 = 3 hours. The researcher also obtained an independent SRS of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be x2 = 4 hours, with a standard deviation s2 = 2 hours. Let µ1 and µ2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively. Assume the two-sample t-procedures are safe to use.Suppose the researcher had wished to test the hypothesesH0: µ1 = µ2, Ha: µ1 ? µ2.
The P-value for the test is
A. 0.01.B. 0.05.C. 0.001.D. below 0.000123.
Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

A 0.01

Step-by-step explanation:

<em>I saw the answer on the internet.</em>

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Three functions are given below f(x) g(x) and h(x) determine the axis of symmetry for each function show all calculations
ExtremeBDS [4]

Answer:


Step-by-step explanation:

f(x) = -2(x − 4^)2+ 2

The vertex is (4,2)

so the axis of symmetry is  is x=4

g(x) = 5x^2− 10x + 7

       h= -b/2a = 10/2(5) = 10/10 =1

The axis of symmetry is at x=1

h(x)  the axis of symmetry is at x=-2

6 0
3 years ago
A cylinder and a sphere have the same radius and volume. The height of the cylinder is 12 cm. What is the volume of the sphere r
Sedaia [141]

Answer:

3054

Step-by-step explanation:

The formula for cylinder volume is

V1 = π * r^2 *h

while formula for sphere volume is  

V2= 4/3 *  π  * r^3

Since the height of the cylinder is 12, we can substitute h the equation into

V1 = π * r^2 *12

The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.  

V1= V2

π * r^2 *12 =  4/3 *  π  * r^3  

12 = 4/3 * r

r= 12*3/4

r=9

After we find the radius, we can find the sphere volume

V2= 4/3 *  π  * r^3  

V2= 4/3 *  π  * 9^3  

V2=  3053.62 = 3054

7 0
3 years ago
A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into
SOVA2 [1]

<u>Answer</u>

Graph D represents the national debt of the country over the next years.

<u>Solution-</u>

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

y=a(r)^{-x}

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

y=60(3)^{-x}

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.

5 0
3 years ago
Read 2 more answers
Becky is competing in a 8-mi road race. She runs at a constant speed of 6 mi/h write an equation in slope intercept form to repr
enot [183]

Answer:

y=-6x+8

Step-by-step explanation:

8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be

y=-6x+8

6 0
3 years ago
What is the original price if the discount is 36% and the sale price is $32
Andrei [34K]
The answer is $50
Assume the original cost price to be $x

Therefore ,
X - 36X/100 = $32
-> 100x - 36x = 32 x 100
-> 64x = 3200
-> x = 3200/64
-> x = 50
7 0
3 years ago
Read 2 more answers
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