Answer: option A
Step-by-step explanation:
Sample proportion (p') = 1600/2000 = 0.8
Sample size (n) = 2000
q' = 1 - p' = 1 - 0.8 = 0.2
To construct a 95% confidence level for population proportion, we use the formulae below.
p = p' + Zα/2 × s/√n..... For the upper limit
p = p' - Zα/2 × s/√n..... For the lower limit
Where s is the sample standard deviation and is given below as
s = √ p' (1-p')
s = √ 0.8 × 0.2
s = √ 0.16
s = 0.4
Even though we are making use of our sample standard deviation, the critical value use is that of a z test and that's because the sample size is greater than 30 ( n = 2000.)
Hence the value for critical value Zα/2 is 1.96.
By substituting the parameters, we have that
For lower limit
p = 0.8 - 1.96× 0.4/√2000
p = 0.8 - 1.96 ( 0.0089)
p = 0.8 - 0.018
p = 0.782 = 78.2%
For upper limit
p = 0.8 + 1.96× 0.4/√2000
p = 0.8 + 1.96 ( 0.0089)
p = 0.8 + 0.018
p = 0.818= 81.8%
Hence the 95% confidence interval for proportion is between 78.2% and 81.8%
Answer:
Step-by-step explanation:
f(x) = -5x + 5
g(x) = 8 + 2x
a) (f + g)(x) = f(x) + g(x)
= (- 5x + 5) + ( 8 + 2x )
= - 5x + 2x + 5 + 8
= - 3x + 13
b) (f - g)(x) = f(x) - g(x)
= ( -5x + 5 ) - ( 8 + 2x)
= - 5x + 5 - 8 - 2x
= - 7x - 3
c) (f + g)( 4 )
(f + g)( x ) = - 3x + 13
(f + g) ( 4 ) = - 3 ( 4 ) + 13
= - 12 + 13
= 1
d)(f - g)(- 3)
(f - g) ( x ) = - 7x - 3
(f - g) ( - 3 ) = - 7 ( - 3 ) - 3
= 21 - 3
= 18
Answer:
$26 for each child
Step-by-step explanation:
35 * 3 = 105 / 4 = 26.25
Answer:
62 units^2
Step-by-step explanation:
The surface area of the prism is the area of the net. It consists of a vertical rectangle 3 units wide and 14 units high, which has an area of ...
(3 units)(14 units) = 42 units^2
and two "wings" that are each 5 units wide and 2 units high, so have an area of ...
(2)(5 units)(2 units) = 20 units^2
Then the total surface area is ...
42 units^2 +20 units^2 = 62 units^2
Answer:
D
Step-by-step explanation:
Y2-Y1/x2-x-1