Answer:
74.86% probability that a component is at least 12 centimeters long.
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:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
Answer:
6°F
58°F
Step-by-step explanation:
From the data Given :
Temperature rise in Buffalo by noon time = 14°F
The initial temperature at Buffalo = - 8°F
Rise in temperature = 14°F
Therefore, temperature at noon = (-8 + 14)°F = 6°F
B.)
Temperature at 6am in St. Louis = 32°F
Temperature at 6am in Juneau = - 26°F
Temperature difference :
(32 - (-26))°F
32 + 26
= 58°F
Temperature in St. Louis is 58°F higher
we know that
The angle bisector, is the line or line segment that divides the angle into two equal parts.
So
in this problem
m∠ZXW=m∠WXY+m∠ZXY
m∠WXY=m∠ZXY
Part a) <u>Find the value of m∠WXY</u>
m∠ZXY=37°-----> given value
so
m∠WXY=m∠ZXY=37°
therefore
<u>the answer part a)</u>
The measure of angle WXY is equal to 37°
Part b) <u>Find the value of m∠ZXW</u>
m∠ZXW=m∠WXY+m∠ZXY
m∠ZXW=37°+37°=74°
therefore
<u>the answer part b) is</u>
the measure of angle ZXW is 74 degrees
4500 - 2300 = 2200
They wish to get rid of 2200 employees
250(x) = 2200
Divide 2200 by 250
x = 8.8
It will take 8.8 years.
20in flat -> 2 sides of 10in at 90degrees from eachother
area would be 10*10/2 =50in^2
