The answers to the questions
Answer:
The answer is D
Step-by-step explanation:
4+(-8+24)=20
4+(16)=20
20=20
This equation is in point-slope form. To change it to standard form, you must distribute -1/2 to (x+4) to get -1/2x-2. Your equation should now be y-8 = -1/2x-2. You should then add 1/2x to both sides (to cancel out -1/2x on the right side). Now, you should have y+1/2x-8 = -2. Finally, add 8 to both sides (to cancel out -8 on the left side) and flip the x and the y to get a final answer of 1/2x+y = 6.
Answer:
15.74% of women are between 65.5 inches and 68.5 inches.
Step-by-step explanation:
Problems of normally distributed samples can be 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:

What percentage of women are between 65.5 inches and 68.5 inches?
This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.
X = 68.5



has a pvalue of 0.9987
X = 65.5



has a pvalue of 0.8413
So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.
Answer:
Step-by-step explanation:
Let x = length
Then width = (1/2)x
Perimeter = 2(length) + 2(width) = 54
length + width = 27
So, x + (1/2)x = 27
(3/2)x = 27
x = 27(2/3) = 18 (1/2)x = 9
Answer: length = 18 cm and width = 9 cm