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AURORKA [14]
3 years ago
9

Which expression represents the surface area?

Mathematics
2 answers:
kvv77 [185]3 years ago
5 0

Answer:

i agree with c

Step-by-step explanation:

ohaa [14]3 years ago
3 0

Answer:

2x + 1/2 sq. ft

Step-by-step explanation:

Surface area = 2(lw+wh+lh)

Given

length l = x ft

width w = 1/2 ft

height h = 1/2ft

Substitute

Surface area = 2(x(1/2)+(1/2)(1/2)+x(1/2))

Surface area = 2(x/2+1/4+x/2)

Surface area = 2(2x/2 + 1/4)

Surface area = 2(x + 1/4)

Surface area = 2x + 2/4

Surface area = 2x + 1/2 sq. ft

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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required
Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate is of \pi = 0.61, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}

\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2

n = 1015.5

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0
2 years ago
1 13/20 as a percentage​
mrs_skeptik [129]

Answer: 565%

Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%

4 0
3 years ago
Help me soon please
STALIN [3.7K]

Answer:

i’m pretty sure the answer is b

7 0
3 years ago
2. Karin has 461 songs downloaded. Joe has
I am Lyosha [343]
All you have to do is add 461 to 123 and it’s s=584
3 0
3 years ago
Determine the future value of a $25000 investment at an annual rate of 4.85% compounded quarterly for 6 years.
Nutka1998 [239]
 = $ 32,275.00

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.85%/100 = 0.0485 per year,
putting time into years for simplicity,
24 quarters ÷ 4 quarters/year = 6 years,
then, solving our equation

A = 25000(1 + (0.0485 × 6)) = 32275 
A = $ 32,275.00

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 25,000.00
at a rate of 4.85% per year
for 6 years (24 quarters) is $ 32,275.00.
3 0
3 years ago
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