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creativ13 [48]
4 years ago
10

One car travel 56 miles per hour and another travels 31 miles per hour. If they start from the same place at the same time and t

ravel in the same direction, after how many hours will the faster car be 75 miles ahead of the slower car?
Mathematics
1 answer:
Vitek1552 [10]4 years ago
4 0

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Step-by-step explanation:

Given,

Speed of first car = 56 miles per hour

Speed of second car = 31 miles per hour

Let,

x be the number of hours.

Distance covered by first car = Speed * time = 56x

Distance covered by second car = 31x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

56x-31x=75\\25x=75

Dividing both sides by 25

\frac{25x}{25}=\frac{75}{25}\\x=3

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/1329620
  • brainly.com/question/1332667

#LearnwithBrainly

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3 years ago
In a certain​ country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th
-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

P(x)=^nC_x(p)^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

The probability that all babies are girl or there is no baby boy,

P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}

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Hence, the probability that at least one of them is a boy​ = 1 - P(X=7)

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3 years ago
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TiliK225 [7]
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