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Lubov Fominskaja [6]
3 years ago
11

What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle? Use 3.14 for π . Round the answer to th

e hundredths place.
Mathematics
1 answer:
Fofino [41]3 years ago
5 0
We know, length of arc = Ф/360 * 2πr
= 15/360 * (2 * 3.14 * 20)
= 1/24 * (125.6)
= 5.23

In short, Your Answer would be 5.23 Inches

Hope this helps!
You might be interested in
Select the correct answer.
Dmitry [639]

Answer:

C

Step-by-step explanation:

An undefined slope means that the line is vertical and parallel to the y- axis.

A vertical line has equal x- coordinates of the points it passes through.

The only pair where the x- coordinates are equal are

(- 3, - 3) and (- 3, 3) ← undefined slope → C

6 0
3 years ago
9,13,43,55 what is the mean absolute deviate (MAD) of their ages
lisov135 [29]

Answer:

The mean absolute deviation of this data \{9,13,43,55\} is MAD =19.

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include:

  1. find the mean (average)
  2. find the difference between each data value and the mean
  3. take the absolute value of each difference
  4. find the mean (average) of these differences

To find the mean absolute deviation of this data \{9,13,43,55\} you must

Step 1: Calculate the mean.

\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30

Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .

|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25

Step 3: Add the distances together.

21+17+13+25=76

Step 4: Divide the sum by the number of data points.

MAD = \frac{76}{4} =19

7 0
3 years ago
Is -7x=2y-6 a direct proportion?
olga_2 [115]
Yes, it is.and I have to keep typing because I need a character at least 20
8 0
3 years ago
How heavy a load (pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? Here are data from student
statuscvo [17]

Answer:

a. (29526.192 , 32155.808)

b. (29673.9301 , 32008.0699)

Step-by-step explanation:

on calculation, we find that sample mean = 30843 and sample standard deviation = 3018.504, and n=20

1)

Sample Mean = 30841

SD = 3000

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 670.8204

alpha (a) = 1 - 0.95 = 0.05

z critical value for 95% confidence interval:

z(a/2) = z(0.025) = 1.96

Margin of Error (ME) = z(a/2) x SE = 1314.808

95% confidence interval is given by:

Sample Mean +/- (Margin of Error) = 30841 +/- 1314.808

= (29526.192 , 32155.808)

2)when std dev of population is not known, we use sample's, but we have to use t instead of z

Sample Mean = 30841

SD = 3018.504

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 674.958

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown

t(a/2, n-1 ) = 1.7291

Margin of Error (ME) = t(a/2,n-1)x SE = 1167.0699

90% confidence interval is given by:

Sample Mean +/- (Margin of Error)

30841 +/- 1167.0699 = (29673.9301 , 32008.0699)

4 0
3 years ago
Which is the correct way to evaluate the expression 48−(29−17)?
Blababa [14]

Answer:

37

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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