Is the number of members of Club X greater than the number of members of Club Y ? (1) Of the members of Club X, 20 percent are a
1 answer:
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Answer:
None of the listed
Step-by-step explanation:
Answer:
Option A) reject null hypothesis if z is greater than 1.645
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 250
p = 30% = 0.3
Alpha, α = 0.05
Number of women belonging to union , x = 75
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Rejection Region:
So, the rejection region will be
That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645
Option A) reject null hypothesis if z is greater than 1.645
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
For, A to be greatest ,
⇒
⇒
⇒
Therefore, from equation (3), k = 5 - h²
⇒
Hence,
Width = 2h =√10 and
Height =