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Black_prince [1.1K]
3 years ago
11

A biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this

situation? 1 over 4 hour per mile 1 over 4 mile per hour 1 mile per hour 4 hours per mile
Please help!!!
Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0
1/4 hr mile!!!!!! Hope that this helps you! Have a good day
padilas [110]3 years ago
4 0

Answer:

(1/4) hr/mile

Step-by-step explanation:

4 mph can be rewritten using other units of measurement:

Suppose we convert 'miles' to 'feet:'

Then:

4 miles     5280 ft

---------- * ------------- = 21120 ft/hr

     1 hr        1 mile

Note that we could invert 4 mph and obtain

 1 hr

-------- or (1/4) hr/mile

4 mi

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Solve and/or check.<br><br> |20x| = |4x + 16|
AfilCa [17]

Answer:

<h2>x=1</h2>

Step-by-step explanation:

|20x|=|4x+16|

or, 20x-4x=16

or, 16x=16

Hence, x=1

7 0
2 years ago
in 2010, the price of a laser printer was $1599. in 2018, the price of the same type of printer had dropped to $579. find the pe
uysha [10]

Hi there!

nearest percentage=64%

<em><u>1.Subtract starting value and final value:</u></em>

<em><u /></em>1599-579=1020<em><u /></em>

<em><u>2.Divide it by the starting value:</u></em>

<em><u /></em>1020*1599= 0.6378986866791744840525328330206378986<em><u /></em>

<em><u>3.Multiply the term by 100:</u></em>

<em><u /></em>0.6378986866791744840525328330206378986<em><u>·</u></em>100= 63.78986866791744840525328330206378986<em><u /></em>

<em><u>4.Round the term:</u></em>

<em><u /></em>63.78986866791744840525328330206378986=64<em><u /></em>

Therefore, the decrease of the total 8 years was 64%.

<em><u /></em>

5 0
3 years ago
Read 2 more answers
In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard devia
Arada [10]

Answer:

31.92%

Step-by-step explanation:

We are given;

Population mean; μ = $3.12

Sample mean; x¯ = $3.16

Sample size; n = 10

Standard deviation; σ = $0.27

Z-score formula is; z = (x¯ - μ)/(σ/√n)

z = (3.16 - 3.12)/(0.27/√10)

z = 0.04/(0.08538)

z ≈ 0.47

Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;

P(x¯ > 3.12) = 1 - P(z < 0.47)

From z-table attached P(z < 0.47) = 0.68082

Thus;

P(z > 0.47) = 1 - 0.68082

P(z > 0.47) ≈ 0.3192

This expressed in percentage is 31.92%

4 0
2 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the
Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of .

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

5 0
3 years ago
Subtract 12h+1 from 34h+4 . what is the answer? a.−1/4h+5 b.1/4h+5 c.−1/4h d.1/4h+3
Lemur [1.5K]

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

<em>~ an aesthetics love</em>

8 0
3 years ago
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