Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Answer:
There is sufficient evidence to support the claim that the mean temperature is different from 45 degrees
Step-by-step explanation:
Given : Claim : The mean temperature of the refrigerators is different from 45 degrees
To Find :Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Solution:
Claim : The mean temperature of the refrigerators is different from 45 degrees
So, Null hypothesis : ![H_0:\mu = 45](https://tex.z-dn.net/?f=H_0%3A%5Cmu%20%3D%2045)
Alternate hypothesis : ![H_a:\mu \neq 45](https://tex.z-dn.net/?f=H_a%3A%5Cmu%20%5Cneq%2045)
We are given that the conclusion is to reject the null hypothesis.
So, we can say that the claim is true that mean temperature is different from 45 degrees.
There is sufficient evidence to support the claim that the mean temperature is different from 45 degrees
<h3><u>The value of x is equal to -4.076</u></h3><h3><u>The value of y is equal to 5.057</u></h3>
3x + 4y = 8
7x - 8y = -69
<em><u>To make this easier, we can multiply each term in the first equation by 2.</u></em>
6x + 8y = 16
Now, we can use elimination to isolate one variable.
<em><u>Combine equations.</u></em>
13x = -53
<em><u>Divide both sides by 13.</u></em>
x = -4.076
We can plug this value of x into the equation to find the value of y.
3(-4.076) + 4y = 8
-12.228 + 4y = 8
<em><u>Add 12.228 to both sides.</u></em>
<em><u>4y = 20.228</u></em>
Divide both sides by 4.
y = 5.057
Answer:
Depending on how many people buy hotel rooms, then there is no answer
Step-by-step explanation:
(The question is not specific enough)