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.
Answer:
-1/7
Step-by-step explanation:
Divide the first expression by the second expression.
Multiply each term by a^2b^2:-
b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2 = a^2b^2 - a^2x^2
Now divide both sides by b^2
y^2 = a^2 - a^2x^2 / b^2 = a^2 (1 - x^2/b^2)
take positive square root ( because y > 0)
y = a sqrt(1 - x^2/b^2)
Answer:
The Width of the Rectangle =![10y^6](https://tex.z-dn.net/?f=10y%5E6)
![\text{Length of the Rectangle}=210y^8](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20the%20Rectangle%7D%3D210y%5E8)
Step-by-step explanation:
The area of the rectangle ![=70y^8 30y^6.](https://tex.z-dn.net/?f=%3D70y%5E8%2030y%5E6.)
We are told that the width of the rectangle is equal to the greatest common monomial factor of ![70y^8 \: and\: 30y^6.](https://tex.z-dn.net/?f=70y%5E8%20%5C%3A%20and%5C%3A%2030y%5E6.)
Let us determine the greatest common monomial factor of ![70y^8 \: and\: 30y^6.](https://tex.z-dn.net/?f=70y%5E8%20%5C%3A%20and%5C%3A%2030y%5E6.)
Express each term as a product to pick out the common factors:
![70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6](https://tex.z-dn.net/?f=70y%5E8%20%3D7X10Xy%5E6Xy%5E2%5C%5C30y%5E6%3D3X10Xy%5E6)
In the two terms, the common terms are 10 and
. Therefore their greatest monomial factor =![10y^6](https://tex.z-dn.net/?f=10y%5E6)
The Width of the Rectangle =![10y^6](https://tex.z-dn.net/?f=10y%5E6)
Recall: Area of a Rectangle =Length X Width
![70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8](https://tex.z-dn.net/?f=70y%5E8%2030y%5E6%3DLength%20X%2010y%5E6%5C%5CLength%20%3D70y%5E8%2030y%5E6%20%5Cdiv%2010y%5E6%20%5C%5C%3D%5Cdfrac%7B70X30Xy%5E8Xy%5E6%7D%7B10y%5E6%7D%20%3D210y%5E8%5C%5C%5Ctext%7BLength%20of%20the%20Rectangle%7D%3D210y%5E8)
Answer:
B. ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)