Ask question

Ask question

All categories

3 years ago

12

Find the area of the sector.

2 answers:

Rasek [7]3 years ago

7 0

Answer:

104.72 m^2.

Step-by-step explanation

I'm taking the angle to be 30 degrees.

Area of sector = area of the circle * 30/360

= pi*20^2 * 30/360

= 400pi * 1/12

= 104.72 m^2.

Korvikt [17]3 years ago

3 0

Step-by-step explanation:

A=30/360*22/7*20

A=110/21m^2

You might be interested in

the All-star appliance shop sold 10 refrigerators, 8 ranges, 12 freezers, 12 washing machines, and 8 clothes dryers during Janua

valentinak56 [21]

Answer:

Freezers made up $\frac{6}{25}$ = 24% of the appliances sold in January.

Step-by-step explanation:

We have that:

10 + 8 + 12 + 12 + 8 = 50 parts were sold in January.

Freezers made up what part of the appliances sold in January?

12 of those were freezers, so:

$\frac{12}{50} = \frac{6}{25} = 0.24$

Freezers made up $\frac{6}{25}$ = 24% of the appliances sold in January.

7 0

3 years ago

hi can someone pls pls plsss! Help with this, I have a test and it’s due on Tuesday so I have time but for now can you pls help

nikklg [1K]

Answer:

16 square feet is left uncovered.

Explanation:

Essentially, you’re trying to find the difference between the area of the door and the area of the poster. The area formula for a basic rectangle is l • w (length times width.) We have both of those dimensions for the separate shapes, so you can go ahead & do that math separately (as shown in the attachment!) Then, you subtract the area of the poster from the area of the door, and you have your answer. As always, I hope this is accurate & helpful! Good luck on your test, friend. Best wishes <3

7 0

3 years ago

Help asap‼️‼️

wel

Answer:

Equation: y=7x

y=-28

Step-by-step explanation:

y=kx

y=98

x=14

98=14k

98/14=7

k=7

Equation: y=7x

x=-4

y=7•-4

y=-28

7 0

4 years ago

A computer retail store has 1414 personal computers in stock. A buyer wants to purchase 33 of them. Unknown to either the retail

Lorico [155]

Answer:

a) 364 ways

b) 45.33% probability that exactly one of the computers will be defective.

c) 54.67% probability that at least one of the computers selected is defective.

Step-by-step explanation:

The computers are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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:

14 computers, so N = 14.

3 defective, so k = 3.

3 will be purchesed, so n = 3.

A) In how many different ways can the 3 computers be chosen?

3 from a set of 14. So

$C_{14,3} = \frac{14!}{3!(14-3)!} = 364$

364 ways

B) What is the probability that exactly one of thecomputers will be defective?

This is P(X = 1).

$P(X = 1) = h(1,14,3,3) = \frac{C_{3,1}*C_{11,2}}{C_{14,3}} = 0.4533$

45.33% probability that exactly one of the computers will be defective.

C) What is the probability that at least one of the computers selected is defective?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = h(0,14,3,3) = \frac{C_{3,0}*C_{11,3}}{C_{14,3}} = 0.4533$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4533 = 0.5467$

54.67% probability that at least one of the computers selected is defective.

5 0

3 years ago

What is the slope of a line that is perpendicular to a line whose equation is 5y=10+2x ?

Jet001 [13]

The slope is 2 because the slope is always next to the x

4 0

4 years ago

Read 2 more answers