Complete Question
The complete question is shown on the first and second uploaded image
Answer:
Part 1
The correct option is B
Part 11
The correct option is H
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
Generally the sample mean for the input temperature is mathematically represented as



Generally the sample mean for the output temperature is mathematically represented as



Generally the difference between the mean of the input temperature and that of the output temperature is

=> 
=> 
Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as
![s_d = \sqrt {\frac{1}{n-1 } \sum [d_i - d]^2}](https://tex.z-dn.net/?f=s_d%20%20%3D%20%5Csqrt%20%7B%5Cfrac%7B1%7D%7Bn-1%20%7D%20%20%5Csum%20%5Bd_i%20-%20d%5D%5E2%7D)
=> ![s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2 }{15-1} }](https://tex.z-dn.net/?f=s_d%20%3D%20%5Csqrt%7B%5Cfrac%7B%5B%2857.6%20-%2065.1%29%20-%206.6%5D%5E2%2B%5B%2868.9%20-%2074.4%29%20-%206.6%5D%5E2%2B%20%5Ccdots%20%2B%5B%2868.1%20-%2074.7%29%20-%206.6%5D%5E2%20%20%7D%7B15-1%7D%20%7D)
=> 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as



Generally the p-value is mathematically represented as

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14

So


From the values obtained we see that the
hence the decision rule is fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Answer:
y=-1
Step-by-step explanation:
- Since we see an overlap, the line must cross through the original image.
- We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.
Answer:
Kevin eats 1 pie for every 33 seconds that pass
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:
132 seconds / 4 pies = 33 seconds per pie
33 seconds / 1 pie
However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:
4 pies / 132 = .0303 or 3.03% of a pie per second
.0303 pies / 1 second
Answer:
y= 8.5x - 10
Step-by-step explanation:
I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10
9 9 2
1 6
-----------
5 9 5 2
9 9 2
-----------
1 5,8 7 2 <==