Complete Question
The complete question is shown on the first uploaded image
Answer:
a
b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is 
The largest value is k = 15
The smallest value is u = 7
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 population standard deviation estimate is mathematically represented as
Here the Range is mathematically represented as
=> 
=> 
=> 
=> 
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
=> 
=> 
=> 
Generally the conservatively small sample size is mathematically evaluated as
=> ![n = [1.96 * 1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Answer:
(2v +7)(v -9)
Step-by-step explanation:
Factors of 2·(-63) = -126 that have a sum of -11 are 7 and -18, so we can rewrite the middle term to -18v+7v. Then we can factor by grouping.
2v^2 -18v +7v -63 = 2v(v -9) +7(v -9)
= (2v +7)(v -9)
V = (1/3) x πr² x h = cm³
Answer:
0 = a
Step-by-step explanation:
The first thing to do is subtract 5 from both sides.
a + 5 = 5a + 5
- 5 - 5
The 5's cancel out.
Now we have a + 0 = 5a
You next subtract the a from both sides.
a + 0 = 5a
-a -a
0 = 4a
Lastly would to get a by itself so then we divide 4 from both sides
0 = 4a
_ _
4 4
0 = a
Answer:
x = 72 / 85
Step-by-step explanation:
x -6/7=-x/84
x + x/84 = 6/7
84/84x + 1/84x = (12*6) / (12*7)
85/84x = ( 72 ) / ( 84 )
85/84x = 72 / 84
Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:
84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }
{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )
(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)
x = 6048 / 7140
x = 72 / 85
