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stepan [7]
3 years ago
15

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

ach weekday to be 2.7 hours with a standard deviation of 0.2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2.3. Which of the following are the correct null and alternate hypotheses?
Mathematics
2 answers:
irakobra [83]3 years ago
7 0
The answer is: 

(null hypothesis) u=2.7; Ha(alt hypothesis): u<2.7 
trapecia [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that a researcher collected data on Americans leisure activities.  Mean number of hours spent watching TV X is having mean 2.7 and std deviation 0.2.

Sample size = 40

Sample mean = 2.3

To test the hypothesis

Null hypothesis should be mu =2.7

and alternate hypothesis should be mu <2.7

We compare sample mean with population mean.

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Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes
adoni [48]
Here, we need to set up a proportion.

4.5 miles in 15 minutes.

In 75 minutes, how much miles can he ride?

4.5/15 = x/75

Cross multiply

4.5 * 75 = 337.5
15*x = 15x

15x = 337.5

15x/15 = 337.5/15
x= 22.5

Final answer:- Tommy can ride 22.5 miles in 75 minutes. 


5 0
3 years ago
Read 2 more answers
Just do these two problems for me and I’ll be so happy
sveticcg [70]
5. y = x + 7
6. y = -x + 1
4 0
2 years ago
What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the near
abruzzese [7]

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = V = \frac{4}{3}\pi r^{3} \\

Substitute pi for 3.14 and radius for 6. 6^3 = 216

\\V = \frac{4}{3}\ (3.14)( 216) \\\\

Multiply them together, the answer is 904.32  cubic units.

8 0
3 years ago
Coefficiants of (2x+y)^4​
sattari [20]

By the binomial theorem,

(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

Then the coefficients of the x^{4-k}y^k terms in the expansion are, in order from k=0 to k=4,

\dbinom 402^{4-0}=1\cdot2^4=16

\dbinom412^{4-1}=4\cdot2^3=32

\dbinom422^{4-2}=6\cdot2^2=24

\dbinom432^{4-3}=4\cdot2^1=8

\dbinom442^{4-4}=1\cdot2^0=1

3 0
3 years ago
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circl
Inessa05 [86]

Answer:

48 π

Step-by-step explanation:

Area of Circle =πr∧2

Big Circle Area = π(8)∧2 = 64π

Small Circle Area =π(4)∧2= 16π

Shaded Region = 64π - 16π = 48π

4 0
3 years ago
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