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frozen [14]
3 years ago
7

Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month. Which equation represents the amount he pays he

r month if m=months and c=total rent paid for the year?
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

1047 m = c

Step-by-step explanation:

Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.

To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?

Solution :

Since he pays for a year (12 months) =  $12,564

Since  His rent is a constant amount each month.

He pays for one month = \frac{12564}{12}=1047

Thus the amount he pays per month $1047

If he pays for m months then the total amount(c) of rent for m months

⇒1047 m = c

Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c

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Jobisdone [24]

Answer:

0.045

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ABC preschool spun $1,475 on diapers this year.if the diapers cost $25 per box how many boxes did they used?
Aleks04 [339]
Cost = number of objects x price per object

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7 0
3 years ago
A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

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.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

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

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
Write the fraction 7/8 as an equivalent fraction with the given denominator 40
Mekhanik [1.2K]

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

So

7x5 = 35

The answer should be 35/40

8 0
3 years ago
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