Answer:
Angles in a triangle add up to 180.
ABG - x + 90 + ANGLE AGB = 180
Angles on a straight add up to 180.
CDE - 8x + ANGLE D + 3x = 180
Alterate angles - ATTACHMENT
ANGLE D = x
8x + x + 3x = 180
12x = 180
x = 180/12
<h2>x = 15</h2>
Answer: A) 150 cubic units
V = area of the base <u>times</u> the height of the prism.
(5)(6) = 30
30/2 =15
V = (15)(10)
V = 150 cubic units
Answer:
4 and 4 inches left
Step-by-step explanation:
Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as

Given that the confidence level is 95% then the level of significance is mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the standard of error is mathematically represented as

substituting values


The margin of error is

=> 
=> 
The 95% confidence interval is mathematically represented as

=> 
=> 
Well, you know that the area of the rectangle is 12 square feet. And you know one of the numbers multiplied to get 12 is 5, so divide 12 by 5. You would get 2.4 as the other number needed.
In this case, 5 feet is the width and 2.4 feet is the length.