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2 years ago

Q. Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how

Mathematics

2 answers:

creativ13 [48]2 years ago

8 0

It takes 5.22 hours to install carpeting in a room

Step-by-step explanation:

At first lets find the relation between yard, feet and inch

1. 1 yard = 3 feet

2. 1 foot = 12 inches

3. 1 yard = 36 inches

Let us change all measures to inches

∵ 1 yard = 36 inches

∴ 1 yard² = (36)² inches²

- Fine Floors can install 15 square yards of carpeting in 4 hours and

30 minutes

∵ 15 yard² = 15 × (36)² inches²

∴ 15 yards² = 19440 inches²

∵ 1 hour = 60 minutes

∴ 30 minutes = 30/60 = 0.5 hour

∴ 4 hours and 30 minutes = 4.5 hours

∴ Fine Floors can install 19440 inches² in 4.5 hours

∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches

∵ 1 foot = 12 inches

∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches

∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches

∴ The area of the room = 141 × 160 = 22560 inches²

Now lets use the ratio method to answer the question

⇒ area of carpeting (in²) : time of carpeting (hr)

⇒ 19440 : 4.5

⇒ 22560 : h

By using cross multiplication

∴ 19440 h = 4.5 × 22560

∴ 19440 h = 101520

- Divide both sides by 19440

∴ h = 5.22 hrs

It takes 5.22 hours to install carpeting in a room

Learn more:

You can learn more about the rate in brainly.com/question/13053630

#LearnwithBrainly

Tcecarenko [31]2 years ago

3 0

Answer:5 hours, 13 minutes

Step-by-step explanation:

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If 20% of all manually filed returns contain errors, and 0.05% of all electronically filed returns contain errors, how much more

Marizza181 [45]

To get the correct answer to this question, you just need to divide 20% by 0.05% in order to get the answer, how many times a manual filer is more likely to make an error than an electronic file.
20: 0.05 = 400
The answer is C. 400 times more likely.

4 0

2 years ago

A supervisor records the repair cost for 17 randomly selected stereos. A sample mean of $66.34 and standard deviation of $15.22

expeople1 [14]

Answer:

Critical value: T = 1.337

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

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 = 17 - 1 = 16

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.8}{2} = 0.9$ . So we have T = 1.337, which is the critical value

The margin of error is:

M = T*s = 1.337*15.22 = 20.349

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 66.34 - 20.349 = $45.991

The upper end of the interval is the sample mean added to M. So it is 66.34 + 20.349 = $86.689

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

3 0

2 years ago

Cynthia rounds a number, x,to one decimal place. the result is 6.3.

gladu [14]

The answer is: $6.25\leq6.3$

The explanation is shown below:

1. Cynthia rounds the number, which is identified as $x$ , to one decimal place and the result is 6.3.

2. Based on this, we know that $x$ could have been between 6.25 and 6.35. Therefore, the error interval for $x$ is given by:

$6.25\leq6.3$

Where $\leq$ indicates that the value 6.25 is included and indicates that the value 6.35 is not included (Because if $x$ had been exactly 6.35, Cynthia would round up to 6.4).