Answer:
The minimum score required for admission is 21.9.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So
The minimum score required for admission is 21.9.
Answer: He will have 88 cups of punch left over
Step-by-step explanation:
5,600
8000*.10(y)
8000*.10(3)
8000*.3
5600
Answer:
379.56ft²
Step-by-step explanation:
Oh lordy why, okay we got this:
So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):
25 x 25 = 625
Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):
25 ÷ 2 = 12.5
12.5² = 156.25
3.14 x 156.25 = 490.625
Normally we would stop here, but because this is only a semicircle, we have to divide by two:
490.625 ÷ 2 = 245.3125
So, now that we have our two areas, we have to subtract the semicircle from the square:
625 - 245.3125 = 379.6875
Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56
So, the area of the figure is 379.56ft²
if this is wrong let me know so I can fix it
hope this helps:)
The fractions you're given can be simplified down, so you get (12 ÷ 3) 4 hours on Monday, (21 ÷ 3) 7 hours on Tuesday, and (22 ÷ 3) 7 1/3 hours on Wednesday. You can now add these up and get your answer as 18 1/3 hours, or 18.33.
I hope this helps!
