Answer:
a) In the explanation.
b) P=0.09714
c) P=0.0866
d) p=0.208
Step-by-step explanation:
a) The sampling distribution will have this properties:
1 - The sampling distribution of a proportion is equal to the binomial distribution.
2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

B) The fraction with sample proportion of 0.45 or higher is

C) The fraction with sample proportion of 0.20 or lower is

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.
Then we have

Answer:
The flagpole is 40 feet tall.
Step-by-step explanation:
So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.
Boy - 5 feet in height and casts a 20-foot shadow
Flag pole - <em>h</em> feet in height and casts a 160-foot shadow
The relationship looks something like this:
5 : 20 :: h : 160
or

Now, we can cross multiply to find h!

So, the flagpole is 40 feet tall
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<em>Have a nice day, fam. Spread The Love!</em>
So hmm check the picture below
keep in mind, the equation is already in vertex form, and thus, the vertex is clearly at 2 , -5
anyhow, notice the axis of symmetry, the red line
Well, you see the yellow colored "face" Think of it as area. So we got a smaller square next to it right...just ignore it and look at the yellow square. So, how do you find the area? Length times width right? So, since this cube has 4 inches all over it, what do you think you have to do if a square has equal sides/measurements. You multiply 4*4, which is 16! NOTE: It is NOT asking for volume! Hope this helps!