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Damm [24]
4 years ago
6

3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 4 pumps work to empty the tank in 1 day?

Mathematics
1 answer:
nexus9112 [7]4 years ago
4 0
It takes 3 pumps 16 hours to empty a tank
Meaning it takes 48 hours for one pump by its self
So if there are 4 pumps
48/4 it would take them 12 hours
They would need to work 12 hours to do it in 1 day
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Will the ordered pairs listed in the table form a straight line when plotted? Explain your reasoning.
mrs_skeptik [129]

Answer:

Yes.

Step-by-step explanation:

If the slope between successive points have the same slope then they will form a straight line.

Slope = ( 3.5- -1) / (-2 - -8) = 4.5/6  = 3/4

Slope = (12.5 - 3.5) / (10 - -2) = 9 / 12 = 3/4

Slope = (20-12.5)/(20-10) - 7.5/10 = 3/4 .

So the answer is yes.

4 0
3 years ago
A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect
shtirl [24]

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

P(A) = 0.8*0.01 + 0.1*0.99 = 0.107

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

P(A \cap B) = 0.01*0.8 = 0.008

What is the probability that he is guilty?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748

0.0748 = 7.48% probability that he is guilty

8 0
3 years ago
<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.
liubo4ka [24]
  • m<3=56°
  • m<4=?

Both are supplementary angles.

\\ \rm{:}\twoheadrightarrow m

\\ \rm{:}\twoheadrightarrow 56+x=180

\\ \rm{:}\twoheadrightarrow x=180-56

\\ \rm{:}\twoheadrightarrow x=124

7 0
3 years ago
Suppose that a basketball athlete earns 13,250,000 to play 80 games, each lasting 48 minutes
ozzi

Answer:

19992737883736638292900920

Step-by-step explanation:

6 0
3 years ago
PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Kruka [31]

Answer:

Step-by-step explanation:

The mode is the most number of times a number appears in a set of data points.

If there is at least one entry in the data set, then there is at least 1 mode. You can have more than 1 mode.

3, 3, 3, 5, 6, 6,  6  has 2 modes. (3 and 6)

3 has 1 mode.

[  ] set has no modes because this is the empty set.

Conclusion

A is not true. See the example above

B is true. It can have more than 1 mode

C is true for everything but the empty set.

D is simply false.

I think you are intended to pick C, but B is also true. I can't give you just 1 answer. It is a faulty question.

8 0
3 years ago
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