Answer:
<h2>y = 1</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.
Substitute:

<em>add 1 to both sides</em>

Other method.
If the slope is equal 0, then it's a horizontal line.
The equation of a horizontal line: <em>y = a</em>.
We have the point on a line (3, 1) → x = 3, y = 1.
Therefore the equation is <em>y = 1</em>.
The constant of proportionality is 1,250 the 5/6 is 6,250. You have to now find out the 10% by multiplying it which = 625. 625 is not the amount that they can sell that is the amount that they gave to the players and staff. So now you have to subtract 625 from 6,250 which would give you 5,625 strawberry's.
Answer:
Step-by-step explanation:
p = peaches, m = mangos
1.75p + 1.50m = 22
m = p + 6
1.75p + 1.50(p + 6) = 22
1.75p + 1.50p + 9 = 22
1.75p + 1.50p = 22 - 9
3.25p = 13
p = 13 / 3.25
p = 4 <====== she bought 4 peaches
m = p + 6
m = 4 + 6
m = 10 <===== she bought 10 mangos
check...
1.75p + 1.50m = 22
1.75(4) + 1.50(10) = 22
7 + 15 = 22
22 = 22 (correct)
Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.
Those triples are
(20, 21, 29)
(9, 40, 41)
_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.
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.