Answer:
14
Step-by-step explanation:
12+b=26
b=26-12
b=14
Answer:
a) 3.3352 inches.
b) 8.2648 inches.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 question:
![\mu = 5.8, \sigma = 1.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%205.8%2C%20%5Csigma%20%3D%201.2)
A. What is the minimum head breadth that will fit the clientele?
This is the 2nd percentile, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-2.054 = \frac{X - 5.8}{1.2}](https://tex.z-dn.net/?f=-2.054%20%3D%20%5Cfrac%7BX%20-%205.8%7D%7B1.2%7D)
![X - 5.8 = -2.054*1.2](https://tex.z-dn.net/?f=X%20-%205.8%20%3D%20-2.054%2A1.2)
![X = 3.3352](https://tex.z-dn.net/?f=X%20%3D%203.3352)
So the minimum head breadth that will fit the clientele is 3.3352 inches.
B. What is the maximum head breadth that will fit the clientele?
The 100-2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.054 = \frac{X - 5.8}{1.2}](https://tex.z-dn.net/?f=2.054%20%3D%20%5Cfrac%7BX%20-%205.8%7D%7B1.2%7D)
![X - 5.8 = 2.054*1.2](https://tex.z-dn.net/?f=X%20-%205.8%20%3D%202.054%2A1.2)
![X = 8.2648](https://tex.z-dn.net/?f=X%20%3D%208.2648)
So the maximum head breadth that will fit the clientele is 8.2648 inches.
Answer: C: 0.4
Step-by-step explanation:
1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)
Answer:
2
Step-by-step explanation:
|x| means absolute value
|x| means if x is positive or negative, its still positive
-5|x|+4=14
-5|x|=10
|x|= -2
answer is 2
Answer:
3.56m
Step-by-step explanation:
Parameters given:
Area of the rectangular garden = 16.02m^2
Length of the rectangular garden = 4.5m
The Area of a rectangle can be calculated for using the formula below
Area (square meters) = length (meters) × width (meters)
Therefore, 16.02m^2 = 4.5m × width
Width = 16.02m^2 / 4.5m
Width = 3.56m
Therefore the width in meters of the garden is 3.56m
See the attachment below for an illustrative diagram
A = area
l = length
w = width