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11Alexandr11 [23.1K]
3 years ago
12

Find the area of a circle with a diameter of 22 inches?

Mathematics
2 answers:
Lerok [7]3 years ago
4 0
R=\frac{Diameter}{2}

then

R=\frac{22~in}{2}

\boxed{R=11~in}

now we just need to apply this formula

S=\pi*R^2

S=\pi*11^2

\boxed{\boxed{S=121*\pi~in^2}}
Zigmanuir [339]3 years ago
4 0
d=2r\\
d=22\\
2r=22\\
r=11\ inches\\
\\
A=\pi r^2\\
A=\pi \cdot 11^2=3,14 \cdot 121=379,94\ inch^2
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In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e
steposvetlana [31]

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

                          p = \frac{x}{n} = \frac{701}{1002} = 0.6996  

<u><em>Step(ii)</em></u>

The 95% confidence interval estimate of the proportion of people who say that they voted

(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )

(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

<u><em>Final answer</em></u>:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

7 0
3 years ago
I don't understand how to solve this can you me solve this please? n-10= 5/6n - 7 - 1/3n ​
expeople1 [14]

Answer:

n = 6

Step-by-step explanation:

n - 10= 5/6n - 7 - 1/3n ​

n - 10 = 15/18n - 7 - 6/18n

n - 10 = 9/18n - 7

18/18n - 10 = 9/18n - 7

9/18n = 3

1/2n = 3

n = 6

5 0
3 years ago
What is -2b-6+3b-2 simplified
poizon [28]

Answer:

b - 8

Step-by-step explanation:

-2b - 6 +3b -2

re arranging

-2b + 3b -6 -2

b - 8

8 0
4 years ago
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Solve each equation using elimination.<br><br> 2a+3b=12<br> 5a- b=13
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4 years ago
What is the volume of the right triangular prism shown?
ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

Substituting a = 8, b = 15 and c = 17. Thus, we have;

S=\frac{8+15+17}{2}

S=\frac{40}{2}=20

Using Heron's formula, we have;

Area = \sqrt{S(S-a)(S-b)(S-c)}

Area = \sqrt{20(20-8)(20-15)(20-17)}

Area = \sqrt{20(12)(5)(3)}

Area = \sqrt{3600}

Area = 36

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

where A_b is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

V=\frac{1}{2}(60\times 15)

V=450

Thus, the volume of the right triangular prism is 450 cubic units.

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3 years ago
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