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2 years ago

What is the circumference of the following circle of 3cm

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

The answer is 18.84 because pie times the radius squared is 18.84

sladkih [1.3K]2 years ago

6 0

Answer:

18.84

Step-by-step explanation:

first you mulitiply 3.14 by two then you mulitiply what you get by 3cm

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It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi

Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that $\mu = 35000, \sigma = 7000$

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

$Z = \frac{X - \mu}{\sigma}$

$-1.88 = \frac{X - 35000}{7000}$

$X - 35000 = -1.88*7000$

$X = 21840$

The designed life should be of 21,840 vehicle miles.

3 0

2 years ago

A number decreased by fifteen is less than two.

Aliun [14]

Let us assume number of n.

The number is decreased by 15.

Decreasing by 15 means, we need to subtract 15 from that number.

So, it would be come n-15.

Now, it is said that the number would become less than 2.

So, we need to setup an inequality:

n-15 is less than 2.

Adding 15 on both sides, we get

n-15+15 < 2+15

n < 17.

<h3>So, we could say the number would be less than 17.</h3>

3 0

2 years ago

Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x

Anuta_ua [19.1K]

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

<h3>How to Find the Area and Perimeter of a Triangle?</h3>

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

brainly.com/question/24571594

#SPJ1

6 0

1 year ago

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover

grigory [225]

Answer:

I think it's 1 1/4 liters of paint for one door

Step-by-step explanation:

First you have to turn it to an improper fraction

1.) 1 3/5 = 8/5

Then you have to proportion the fraction with the 2 liters (L=liters)

2.) 2/(8/5)

= 10/8 L

3.) Next you convert the fraction to a mixed number

10/8 L --> 8/8 + 2/8 = 1 1/4 L

3 0

3 years ago

The diagram shows a regular pentagon with centre 0. Work out the size of angle x.

kherson [118]

Step-by-step explanation:

1. Use exterior angles (each adds up to 360) to find interior angles

2. Add this together

3.Take it away from 360

6 0

3 years ago

What is the circumference of the following circle of 3cm​

What is the circumference of the following circle of 3cm