Answer:
total pay in 4 weeks is $ 1960.00
$ 12.25 per hour
Step-by-step explanation:
5 x 165= $ 825
6 x 110= $ 660
5 x 95= $ 475
____________
$ 1960.00 dollars divided by 160 = 12.25
1960/ 160= 12.25
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
Complete Question
The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.
a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.
b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?
c. What is the 95% confidence interval for the proportion of smokers in the population?
Answer:
a

b

c
Step-by-step explanation:
Considering question a
From the question we are told that
The margin of error is 
The preliminary estimate of the proportion who smoke is 
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} } }{E} ] ^2 * p(1 - p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%20%7D%7BE%7D%20%5D%20%5E2%20%20%2A%20%20p%281%20-%20p%20%29)
=> ![n = [ \frac{1.96 }{0.02} ] ^2 * 0.30(1 - 0.30 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B1.96%20%20%7D%7B0.02%7D%20%5D%20%5E2%20%20%2A%20%200.30%281%20-%20%200.30%20%20%29)
=> 
Considering question b
From the question we are told that
The number of smokers is k = 520
Generally the point estimate of the proportion of smokers in the population is mathematically represented as

=> 
Considering question c
Generally 95% confidence interval is mathematically represented as
=>
=>
Answer:
infinite solutions
Step-by-step explanation:
-9(x+3) +12 = -3(2x+5)-3x
Distribute
-9x-27 +12 = -6x-15-3x
Combine like terms
-9x -15 = -9x-15
Add 9x to each side
-9x-15+9x = -9x-15+9x
-15 = -15
This is a true statement so it is true for all x
Answer:
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
The 1906 earthquake had a intensity of A and a magnitude of 7.8.
S is going to have the same value, so i am going to write as 1. So:



Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.
So 
So

The magnitude of the claimed earthquake would be 13.67.