L=2w-5
2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet. As a result, the width is 15 feet and length is 25 feet. Hope it help!
Answer:
There is not enough evidence to support the claim that union membership increased.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 12.5% = 0.125
Alpha, α = 0.05
Number of women belonging to union , x = 52
First, we design the null and the alternate hypothesis
The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.3812
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that union membership increased.
![\quad \huge \quad \quad \boxed{ \tt \:Answer }](https://tex.z-dn.net/?f=%5Cquad%20%5Chuge%20%5Cquad%20%5Cquad%20%5Cboxed%7B%20%5Ctt%20%5C%3AAnswer%20%7D)
![\qquad \tt \rightarrow Final \:\:Value = 1\:](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20Final%20%20%5C%3A%5C%3AValue%20%3D%201%5C%3A%20)
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![\large \tt Solution \: :](https://tex.z-dn.net/?f=%20%5Clarge%20%5Ctt%20Solution%20%20%5C%3A%20%3A%20)
The statement can be represented as :
![\qquad \tt \rightarrow \: 5 - \dfrac{t}{3}](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%205%20-%20%20%5Cdfrac%7Bt%7D%7B3%7D%20)
[ for t = 12 ]
![\qquad \tt \rightarrow \: 5 - \dfrac{12}{3}](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%205%20-%20%20%5Cdfrac%7B12%7D%7B3%7D%20)
![\qquad \tt \rightarrow \: 5 - 4](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%205%20-%204)
![\qquad \tt \rightarrow \: 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%201)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The true statement is h(2)=16.
<h3 /><h3>What is domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function. The range of a function is the set of values that the function assumes.
Given:
domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25,
Also, h(8) = 19 and h(-2) = 2,
Now,
2=h(-2)< h(2)<h(8) =19
h(8)=19≠21
h(13)> h(8) =19
h(-3)< h(-2) =2 [1 ≤ h(x) ≤ 25]
Hence, h(2)=16
Learn more about domain and range:
brainly.com/question/23199615
#SPJ1
Answer:
A. -4
Step-by-step explanation:
For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.
You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.