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2 years ago

1. It takes 45 minutes for two people to clean six identical rooms. How

Mathematics

2 answers:

Elena L [17]2 years ago

8 0

Answer:

To clean 20 identical rooms 5 people will take 1 hour .

Hope It Helps You.

IgorLugansk [536]2 years ago

5 0

Answer: 5 people will clean 20 rooms in 1 hour.

Step-by-step explanation:

45 minutes is 45/60 = 0.75 hours

The two people invested 2(0.75) = 1.50 man•hrs to clean 6 rooms

each room took 1.5/6 = 0.25 man•hr/room

To clean 20 rooms will take 20(0.25) = 5 man•hrs

5 man•hrs/5 people = 1 hr.

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Kate paid $27 for a dress that was on sale at 10% off. What was the original price for this dress?

Art [367]

Answer:

$30

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele

Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.093

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that $n = 20, s = 31.61$

What is the margin of error for this estimate?

$M = T\frac{s}{\sqrt{n}}$

$M = 2.093\frac{31.61}{\sqrt{20}}$

$M = 14.79$

The margin of error for this estimate is of 14.79 yards per game.

3 0

3 years ago

Mr. and Mrs. Petersen filed a joint tax return in 2015. The couple divorced in 2016.The IRS audited their 2015 return during 201

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

If taxes have been underpaid, it won’t matter to the IRS who is responsible. If the return was filed jointly, the government can go after both even if one didn’t personally earn one penny of the reported income.

Hence in the given case,

For the unpaid amount of $38,200 IRS can assess either Mr.peterson or Mrs.Peterson for the entire deficiency as both are jointly and severally liable for the tax paid before they got divorced.

6 0

2 years ago

An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees

zheka24 [161]

Answer:

Probability = 0.12025

Step-by-step explanation:

P (Am) = 1/50 = 0.02 {Magazine ad}

P (At) = 1/8 = 0.125 {Television ad}

P (Am ∩ At ) = 1/100 = 0.01 {Both ads}

P (Am U At) = P (Am) + P (At) - P (Am ∩ At )

= 0.02 + 0.125 - 0.01

P (Am U At) = 0.135 {Person sees either ad}

P (Am' ∩ At') = 1 - P (Am U At)

P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}

Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)

P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1

P (P) = (0.25) (0.135) + (0.1) (0.865)

= 0.03375 + 0.0865

0.12025

7 0

2 years ago

A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be aft

denis-greek [22]

100-35 = 65
65% de 2300 = 1495 (mes 1)
2300-1495 = 805 (mes 2)
65% de 805 = 523,25 (mes 3)
65% de 523,25 = 340,1125 ~ 340,10 (mes 4)

8 0

3 years ago