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Galina-37 [17]
3 years ago
5

Radius is 21 5/8 incercepted by 5Pi/6? What is arc lenght?

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

9514 1404 393

Answer:

  (18 1/48)π ≈ 56.61 units

Step-by-step explanation:

Arc length is the product of radius and intercepted arc in radians:

  s = rθ

  s = (21 5/8)(5π/6) = (18 1/48)π ≈ 56.61 . . . units

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What is the value of f(-4)
maria [59]
(-4) is the same as x, so looking the conditions that are the results for the function, you realize:

-2 is the result of the function to the values of X that are under -3: the result will be -2 if x < -3

x < -3 ; x = -4 ; -4 < -3 (it's true), in other words, -4 is less than -3, so f(-4) = -2
8 0
3 years ago
A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th
Ugo [173]

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

a)

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

b)

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

= 14.2 ± 2.58 × 0.933

= 14.2 ± 2.4

The lower end of the confidence interval is 11.8

The upper end of the confidence interval is 16.6

3 0
2 years ago
Please help with this!
Klio2033 [76]

Answer:

  • y = 8
  • RS = 51
  • ST = 29

Step-by-step explanation:

(a) You use the fact that the lengths RS and ST total the length RT.

  RS +ST = RT

  (6y+3) +(3y+5) = 80 . . . . . substitute the given values

  9y +8 = 80 . . . . . . . . . . . . .simplify

  9y = 72 . . . . . . . . . . . . . . . .subtract 8

  72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y

___

(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.

  RS = 6y +3 = 6·8 +3

  RS = 51

  ST = 3y +5 = 3·8 +5

  ST = 29

___

<em>Check</em>

  RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK

5 0
3 years ago
Help bro<br><br> Identify the Terms:<br> 3x + 5x + 12 – 3 + 2x
svp [43]

Answer:

dfadfadsadas

Step-by-step explanation:

5 0
3 years ago
Find the geometric mean between 12 and 20 find the answer in radical form or round to the nearest tenth if necessary
alex41 [277]

Geometric mean of two numbers is squre root of thir product.

Given numbers are 12,20

Geometric mean = √(12*20)

= √240

= 15.49

= 15.5

Mark as brainlist

8 0
3 years ago
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