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Studentka2010 [4]
3 years ago
14

The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between t

he cities?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer: The actual distance is 40 miles.

Step-by-step explanation:

First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.

1/4 x 4 = 1

However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.

5 x 4 = 20.

Your equation know looks like this:

1 inch = 20 miles.

Now, we just multiply both sides by 2, since that the amount of inches we need.

1 x 2 inches = 20 x 2 miles

2 inches = 40 miles

Therefore, the actual distance is 40 miles.

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Sat scores have a mean of 500 and a standard deviation of 100. let's contine with the above example: if we wanted a 95% confiden
xz_007 [3.2K]

Answer:

385

Step-by-step explanation:

Given that :

Mean, m = 500

Standard deviation, s = 100

Zcritical at 95% = 1.96

Confidence interval, C2 - C1 ; 510 - 490

Using the relation :

n = (2 * Zcritical * s) / (C2 - C1)

n = sample size

n = [(2 * 1.96 * 100) / (510 - 490)]^2

n = (392 / 20)^2

n = 19.6²

n = 384.16

n = 385

5 0
3 years ago
Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his
shutvik [7]

Answer:

x(x)=1/4(30+60+x)

Step-by-step explanation:

minutes spent on math homework= x

minutes spent on history homework= 30 min

minutes spent on English homework= 60 min

Total minutes spent on homework = x+30 +60

Also

x= 1/4(x+30 +60)

x= x/4 + 90/4

x-x/4= 90/4

(4x-x)/4=90/4

3x=90

x=30

Hence time spent on maths=30 min

total time spent= 30+60+30

                          = 120 min

1/4 of 120 min= 30 mins!

6 0
4 years ago
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Answer:

0.0071164

Step-by-step explanation:

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We know that Range of a function is the values that a function can take in its domain The range interval of a function is between the minimum value and the maximum value that the function can take so in this problem The range of the function is the interval------->  [1, ∞)

That means  The minimum value of the function in the domain is The maximum value of the function in the domain is infinite

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If you intend to begin saving 20% of your income and you bring home 150 per week how much will you have saved after
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