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2 years ago

Find the area of the shaded region. Round to nearest hundredth.

Mathematics

1 answer:

coldgirl [10]2 years ago

5 0

210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.

The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.

Then the area of the shaded region is 7/12 of this, or

7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2

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AnnZ [28]

Cot(0.349)= 2.74804 is your answer

8 0

3 years ago

What is the next term ofthe sequence 5z, 8x, 11v,...?

nexus9112 [7]

Answer:

Step-by-step explanation:

stuvwxyz

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6 0

3 years ago

In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?

Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

3 transistors from a set of 100. So

$C_{100,3} = \frac{100!}{3!(100-3)!} = 161700$

So 161700 ways.

6 0

3 years ago

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are

Kruka [31]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of type A paint

x2 = sample mean of type B paint

s1 = sample standard deviation type A paint

s2 = sample standard for type B paint

n1 = number of samples of type A paint

n2 = number of samples of type B paint

From the information given,

x1 = 75.7

s1 = 4.5

n1 = 11

x2 = 64.3

s2 = 5.1

n2 = 9

x1 - x2 = 75.7 - 64.3 = 11.4

√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709

Degree of freedom = (n1 - 1) + (n2 - 1)

df = (11 - 1) + (9 - 1) = 18

For the 98% confidence interval, the z score from the t distribution table is 2.552

Margin of error = 2.552√4.709 = 5.55

The upper boundary for the confidence interval is

11.4 + 5.55 = 16.95 hours

The lower boundary for the confidence interval is

11.4 - 5.55 = 5.85 hours

The correct option is

B. 5.85 hrs < μ1 - μ2 < 16.95 hrs

4 0

2 years ago

An office manager needs to decide between two tables for the conference room. One is rectangular, 5 feet wide by 10 feet long. T

zvonat [6]

Radius of circle= 4

a) circle circumference=2(pi)r
circumference=2(pi)4=25.13

P=2W+2L
p=2(5)+2(10)
P=30

b) area of circle=pi(r^2)=pi(16)=50.27
area of rectangle=L×W= 5×10= 50

c) I think you can figure it put

5 0

3 years ago