Answer:
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
Step-by-step explanation:
Let
x ----> represent the number of home runs Lu hit
y ---> represent the number of home runs Karrine hit
we know that
Together they hit 10 home runs
so
----> equation A
Karrine hit 4 more home runs than half the number of home runs Lu hit
so
---> equation B
substitute equation B in equation A

solve for x


Find the value of y

therefore
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
The slope of the given line is 2.
The slope of the line perpendicular to the given line is the negative reciprocal of 2 or -1/2.
Answer: -1/2
Answer:
Answer is D.
Step-by-step explanation:
Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is 
Generally the sample mean of the input temperature is

=> 
=> 
Generally the sample mean of the output temperature is

=> 
=> 
Generally the difference of the sample mean of the input temperature and that of the output temperature is

=> 
=> 
Generally the standard deviation is mathematically represented as

=> ![s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }](https://tex.z-dn.net/?f=s_d%20%20%3D%20%20%5Csqrt%7B%5Cfrac%7B%28%5B57.6-%2065.1%5D-%206.6%29%5E2%2B%20%28%5B68.9%20-%2074.4%5D-%206.6%29%5E2%20%2B%20%5Ccdots%20%2B%20%20%28%5B60.4%20-%20%2067.3%5D-%206.6%29%5E2%20%7D%7B15%7D%20%7D)
=> ![s_d = 1.732 [/texGenerally the test statistics is mathematically represented as [tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }](https://tex.z-dn.net/?f=s_d%20%20%3D%201.732%20%5B%2Ftex%3C%2Fp%3E%3Cp%3EGenerally%20the%20test%20statistics%20is%20mathematically%20represented%20as%20%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%5Btex%5Dt%20%20%3D%20%20%5Cfrac%7B%20d%20-%20%5C%3D%20d%20%20%7D%7B%20%5Cfrac%7Bs_d%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally the probability of t obtained from the t - distribution table at a degree of freedom of
is

Generally the p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
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:
11
Step-by-step explanation:
u hv 2 subract the highest number nd the lowest number 2 find the range