Tami thought that the perimiter is length plus width, which gave her 100. The actual width is 20
Answer:
DB = 24
Step-by-step explanation:
First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.
Also, AE + CE = CA
So, using this, we can write this equation:
AE = CE
x + 4 = 3x -12
Subtract 4 from both sides.
x = 3x -16
Subtract 3x from both sides.
-2x = -16
Divide both sides by -2
x = 8
Then, substitute this into AE + CE = CA
x + 4 + 3x - 12 =
8 + 4 + 24 - 12 = 24
Then, because CA = DB,
DB = 24
I hope this helps! Feel free to ask any questions! :)
Answer:
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
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:

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.
This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.




The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Answer:
Step-by-step explanation:
7(b² - 2b - 8) = 0
7(b² - 2b + ) = 8
7(b² - 2b + 1) = 8 + 1
7(b - 1)² = 9
(b - 1)² = 9/7
b - 1 = ±√(9/7)
b = 1 ±3√(1/7)
b ≈ -0.134, 2.134
m² + 10m + 14 = -7
m² + 10m + = -7 - 14
m² + 10m + 25 = -7 - 14 + 25
(m + 5)² = 4
m + 5 = 2
m = -3
p² - 8p + 21 = 6
p² - 8p + = 6 -21
p² - 8p + 16 = 6 -21 + 16
(p - 4)² = 1
p - 4 = 1
p = 5
3/20 is 0.15....
If you do 3 divided by 20 it equals 0.15