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stich3 [128]
4 years ago
13

A map of your town has a scale of 1 inch to 0.25 mile. There are two roads that are 5 inches apart on the map. Use this informat

ion to complete the statement about the distance between the two roads
Mathematics
2 answers:
Molodets [167]4 years ago
8 0

Answer:

1.25

Step-by-step explanation:

egoroff_w [7]4 years ago
6 0

Answer: <u>The 2 roads are 1.25 miles apart.</u>

Step-by-step explanation:

If 1 inch equals .25 miles, then you need to multiply .25 by 5.

Use proportions. Make sure the miles are on the same "side" of the fraction. Side meaning the top or the bottom

\frac{1}{.25} =\frac{5}{x}

1 times X equals 1x

.25 times 5 equals 1.25

1.25 divided by 1 equals 1.25.

You might be interested in
Marne Shia walked 3/8 of a mile in 3/5 of an hour. What equation can be used to calculate her unit rate in miles per hour?
Dafna11 [192]

Answer:

speed = (3/8 mi)/(3/5 h)

Step-by-step explanation:

... speed = distance/time

Fill in the given values:

... speed = (3/8 mi)/(3/5 h)

_____

<em>Comment on units</em>

You can use the units to provide both guidance and assurance. You know speed is generally expressed in <em>miles per hour</em>. If you consider "per" to mean "divided by", this expression of units tells you speed is calculated by dividing miles by hours.

If you leave the units with the numbers, as we have above, they enter into the calculation the same way any variable might. You can do the arithemetic with the numbers, and you can indicate the arithmetic with the units (just as you would with any variables). Here, the result of evaluating the equation would be ...

\displaystyle\frac{\frac{3}{8}\,\text{mi}}{\frac{3}{5}\,\text{h}}=\frac{\frac{3}{8}}{\frac{3}{5}}\,\frac{\text{mi}}{\text{h}}=\frac{5}{8}\,\text{mi/h}

The fact that the units come out mi/h (the units of speed) provides assurance that you probably did the math correctly.

5 0
3 years ago
What is 1/5 plus 3/4 multiply 1 and 1/4
lesantik [10]

Answer:

1 11/80

Step-by-step explanation:

1/5 + (3/4 × 1 1/4)

1/5 + (3/4 × 5/4)

1/5 + (15/16)

16/80 + 75/80

91/80

1 11/80

3 0
3 years ago
4. Amazon executives believe that at least 70% of customers would return a product 2 days after it arrives at their home. A samp
inysia [295]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • Sample of 500 customers, hence n = 500.
  • Amazon believes that the proportion is of 70%, hence p = 0.7

The <u>mean and the standard error</u> are given by:

\mu = p = 0.7

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205

The probability is the <u>p-value of Z when X = 0.68</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.68 - 0.7}{0.0205}

Z = -0.98

Z = -0.98 has a p-value of 0.1635.

0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

A similar problem is given at brainly.com/question/25735688

7 0
2 years ago
1. A basketball is slightly larger than a bowling ball. Which ball has a greater mass?
Dvinal [7]

Answer:

Bowling Ball because a bowling ball has mass in the middle. Basketballs are empty inside but Bowling Balls are more dense

Step-by-step explanation:

8 0
3 years ago
Plz help! Will give brainlest
AnnZ [28]

Answer:

99 Sorry if im wrong

Step-by-step explanation:

8 0
3 years ago
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