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jolli1 [7]
3 years ago
10

The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

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zavuch27 [327]

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( t_{\alpha /2, df) ( standard error )

⇒ sample estimate ± ( t_{0.05 /2, 26) ( standard error )

⇒ sample estimate ± ( t_{0.025, 26) ( standard error )

{ from t table; ( t_{0.025, 26) = 2.055529 = 2.056

so we substitute

⇒ 0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

5 0
3 years ago
Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest
Fantom [35]

Answer:

0.66

Step-by-step explanation:

GIVEN: Suppose that in a certain county 37\% of voters are registered as Democrats, 29\% as Republicans, 7\% as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be 100x.

voters registered as Democrats =37\%=\frac{37}{100}\times100x

                                                     =37x

voters registered as Republicans =29\%=\frac{29}{100}\times100x

                                                       =29x

voters registered as Green party =7\%=\frac{7}{100}\times100x

                                                       =7x

Probability that first call will be to Democrats P(A)=\frac{\text{total democrats}}{\text{total voters}}

                                                                                    =\frac{37x}{100x}=0.37

Probability that first call will be to Republican P(B)=\frac{\text{total republicans}}{\text{total voters}}

                                                                                     =\frac{29x}{100x}=0.29

probability that the first call will be to either a Democrat or a Republican

=P(A)+P(B)

=0.37+0.29

=0.66

Hence the probability that the first call will be to either a Democrat or a Republican is 0.66

6 0
3 years ago
If Sue runs one mile every 7 minutes, and this relationship is graphed, which ordered pair would not be on the graph?
Free_Kalibri [48]
I don’t know this one
4 0
3 years ago
PLEASE MATH HELP ( EASY )
Natalija [7]

Answer:

Step-by-step explanation:

28° into radians

28° = ( 28   *  \frac{\pi }{180}  )

Divide 28 and 180 by 4 we get

= ( \frac{7\pi }{45})

Hope it helped :)

 

6 0
3 years ago
Read 2 more answers
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creativ13 [48]

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

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2 years ago
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