we know that
Step 
in the right triangle XYZ
Applying the Pythagorean Theorem
Find the value of ZY


Step 
in the right triangle XYZ
Find tan
°
we know that

in this problem
opposite side angle
is ZY
adjacent side angle
is XZ
so

therefore
the answer is

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

=> 
=> 
Answer:
6 is the correct answer
Step-by-step explanation:
Hope it is helpful...
The sound intensity of the Pile Driver is 39.5
or nearly 40 times the sound intensity of the jackhammer.
Given with Loudness in dB for pile driver = 112 dB
We have to convert it in terms of sound intensity.
First,
112dB/10 = 11.2
Then we'll use this as exponent of 10
(10)^(11.2) = 1.5849 * 10 ^ 11
Then use the equation of Watts per square meter to find the intensity:
I / (10^-12 W/m^2) =1.5849 * 10 ^ 11
I = sound intensity = 0.158
Then compare:
Sound intensity of Pile Driver/ Sound intensity of Jackhammer
(0.158) / (0.004)
= 39.5
or nearly 40 times the jackhammer.