The formula for the surface area of a cylinder is pi×2rh+2pi(r^2)
In this problem, r is 4 in and h is 16 in
#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8
1. Simplify the expression
Combine like terms:
3/4(8x-12)=2(4x+1)-4
6x-9=2(4x+1)-4
6x-9=8 x-2
2. Group all X terms on the left side of the equation
Subtract 8X from both sides:
6x-9=8 x-2
(6x-9)-8x=(8x-2)-8x
-2x-9=(8x-2)-8x
-2x-9=-2
Group all constants on the right side of the equation
Add 9 to both sides of the equation:
-2x-9=-2
(-2x-9)+9=-2+9
-2x=-2+9
-2x=7
Isolate the X
Divide both sides of the equation by -2:
-2x=7
(-2x) 7
——- = —
-2 -2
X= 7
—
-2
X= -7
—
2
Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:

Compute the critical value of <em>z</em> for 90% confidence level as follows:

*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:


Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
I would say the answer is true, if it’s not I apologize