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Stella [2.4K]
3 years ago
11

A pipe can pump 1000 gallons of water in 4 hours.

Mathematics
2 answers:
Drupady [299]3 years ago
8 0
First you need to find the amount of gallons per hour
1000 ÷ 4 = 250
then divide that by the amount of gallons you want to find (2500)
2500 ÷ 250 = 10
the answer is C. 10 hours

Bas_tet [7]3 years ago
6 0

Answer:

Option C. 10\ hours

Step-by-step explanation:

we know that

A pipe can pump 1000 gallons of water in 4 hours

so

by proportion

Find how long would it take the pipe to fill a 2500 gallon pool

\frac{4}{1,000}\frac{hours}{gallons} =\frac{x}{2,500}\frac{hours}{gallons}\\ \\x=2,500*4/1,000\\ \\x=10\ hours

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rjkz [21]

Answer:

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7 0
2 years ago
Kara used the linear model y=45,000+ 0.05x to predict her total salary from achieving total sales of x.
hoa [83]

Answer:

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

Step-by-step explanation:

y = 45,000 +.05x

Rewriting as

y = .05x +45,000

This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept

.05 is the slope and 45,000 is the y intercept

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

6 0
3 years ago
5. what is the theoretical probability that a coin toss results in one head and one tail showing?
Alenkasestr [34]
There are two sides (heads and tails). So one head would be 1/2, and one tail would also be 1/2.
4 0
2 years ago
Simplify the compound fractional expression.<br><br> (x-(x/y) / (y-(y/x)
castortr0y [4]

Answer:

The simplified form of the compound fractional expression is \frac{x^2(y-1)}{y^2(x-1)}.

Step-by-step explanation:

Simplify the fraction as shown:

\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }

Take the LCM.

\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }

Simplify,

\frac{xy-x}{y} \times\frac{x}{xy-y}

\frac{x^2(y-1)}{y^2(x-1)}

Hence, the simplified form of the compound fractional expression is \frac{x^2(y-1)}{y^2(x-1)}.

8 0
3 years ago
Suppose that the probability of landing an interview after applying for a professional position is 0.13. A job seeker applies fo
andrew11 [14]

Answer:

The expected number of interviews is 3.25.

Step-by-step explanation:

For each person applying for a profissional position, there are only two possible outcomes. Either they land an interview, or they do not. The probability of a person landing an interview is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

n = 25, p = 0.13

So

E(X) = np = 25*0.13 = 3.25

The expected number of interviews is 3.25.

8 0
3 years ago
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