Answer:
The answer to your question is below
Step-by-step explanation:
Equation 1
$sweatshirt = 2 pair of shorts
<u> w = 2h</u>
Equation 2
$t-shirt = $pair of shorts - $4
<u> t = h - 4</u>
Equation 3
Total cost = 3 sweatshirts + 2 pairs of shorts + 5 t-shirts
<u>Total cost = 3w + 2h + 5t = 136 </u>
Answer:
equal to
Step-by-step explanation:
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The value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
<h3>Graph of a function</h3>
From the question, we are to determine the value of f(0) and the roots of f(x) = 0
The value of f(0) is the value of f(x) or the value of y when x = 0
In the given graph, we can observe that the value of y when x = 0 is 2
∴ f(0) = 2
The roots of f(x) = 0 correspond to the values of x when f(x) = 0 or when y = 0
In the graph, we can observe that the values of x when f(x) = 0 are -2 and -1
∴ The roots of f(x) = 0 are -2 and -1
Hence, the value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
Learn more on Graph of a function here: brainly.com/question/21265554
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Since you add 4 each time in the x values and 1 for the y values, the answer should be 1/4
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.