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3 years ago

How to compare and contrast factors and multiples

2 answers:

7 0

The factors of a number are all the integers that can be multiplied together to produce that number. For example, 1, 2, 3 and 6 are all factors of 6. Multiples are all the numbers of which a given number is a factor.

ValentinkaMS [17]3 years ago

4 0

I couldn't able to understand ur question , give an example problem

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A museum conducts a survey of its visitors in order to assess the popularity of a device which

Natali5045456 [20]

Answer:

The appropriate null hypothesis is $H_0: p \geq 0.2$

The appropriate alternative hypothesis is $H_1: p < 0.2$

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

$H_0: p \geq 0.2$

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

$H_1: p < 0.2$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that $\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4$ .

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that $n = 100, X = \frac{15}{100} = 0.15$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}$

$z = -1.25$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

7 0

3 years ago

Find a linear equation that is perpendicular to y= 2x + 4 and passes through (-5, -3)

Trava [24]

Answer:

y=-1/2x+7/2

Step-by-step explanation:

two lines are perpendicular if the product of the slopes is equal to -1

the slope for y=2x+4 is 2

2*x=-1

x=-1/2

the formula for the slope is

(y2-y1)/(x2-x1)=m

we know y1 and x1

(y+5)/(x+3)=-1/2

y+5=x+3/2

2y+10=x+3

2y=x-7

y=-1/2x+7/2

8 0

3 years ago

1. )The function f(x)=12,500(0.87)^x models the value of a car x years after it is purchased.

sweet-ann [11.9K]

1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15 is about 1/4 the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%

7 0

3 years ago

What is the missing piece of the information in the paragraph proof?

Sophie [7]

B. angle 2 and angle 3 and congruent.

Please press brainliest if this helped you.

4 0

2 years ago

Read 2 more answers

A triangular prism is 4 millimeters long. It has a triangular face with a base of 13 millimeters. The volume of the prism is 416

muminat

Answer:

16 millimeters

Step-by-step explanation:

Length of the Triangular Prism=4 millimeters
Base Length of One Triangular Face=13 millimeters.
Volume of the Prism =416 cubic millimeters.

Now:

Volume of a Prism=Base Area X Prism Length

Since we have a triangular base:

Volume of the Prism=(0.5 X Base X Height) X Prism Length

Substituting the given values, we obtain:

416=(0.5 X 13 X Height) X 4

416=26 X Height

Divide both sides by 26

Height of its triangular face=16 millimeters

4 0

2 years ago

Read 2 more answers