Answer:
x=6
Step-by-step explanation:
-6(6+5x)-4=-220
-36-30x-4=-220
-40-30x=-220
30x=-40-(-220)
30x=-40+220
30x=180
x=180/30
x=6
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
Answer:
26.11% of women in the United States will wear a size 6 or smaller
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:

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?
This is the pvalue of Z when X = 22.4. So



has a pvalue of 0.2611
26.11% of women in the United States will wear a size 6 or smaller
Answer: $4.70
Step-by-step explanation:
if you divide the cost of the 8 cans by 8 we know that each can costs approximately $0.47. so, if we multiply 10 times 0.47 we get 4.7 or $4.70
The length is 27cm longer than the width.