A I believe please let me know
The mean is 14
add all the numbers up and divide the sum by 6 because that’s how many numbers you’re adding together.
12+10+14+18+14+16
= 84
84/6 = 14
Prime factors are basically the smallest whole numbers that multipy to get that number so
204=2 times 102
102=2 times 51
51=3 times 17
prime factorization is 2 times2 times 3 times 17
Simplifying
4x+-9= 2x + 33
Reorder the terms:
-9+4x = -2x + 33
Reorder the terms:
-9 + 4x = 33 + -2x
Solving:
-9 + 4x = 33 + -2x
Answer: x = 7
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.