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jeka94
2 years ago
10

Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long

would it take them to empty the pool?
about 5 hours and 30 minutes
about 5 hours and 10 minutes
about 5 hours and 20 minutes
about 5 hours
Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

About 5 hr 10 min  

Step-by-step explanation:

rate 1   = 1  pool / 9 hrs          rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12)  =   1/ (7/36)  =   36/7 hr  = 5 1/7 hr = 5 hr 8.6 min

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If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl
topjm [15]

Answer:

<h2>1/7</h2>

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of  6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em></em>

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

7 0
3 years ago
How to do this plastic help​
liraira [26]

Answer:

39 degrees

Step-by-step explanation:

  • by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
  • we also know that sum of the angles in a triangle is 180 degrees.

by using the first statement,

UWV + VWX = 180

UWV + 6x-3 = 180

UWV = 180+3-6x

         = 183-6x

by using second statement,

UWV+WVU+VUW=180

substituting the values,

183-6x+2x+5+x+13=180

201-3x=180

substracting 180 from both sides,

21=3x

dividing both the sides by 3,

7=x

the angle VWX=6x-3

substituting 7=x,

VWX=6(7)-3= 39.

4 0
3 years ago
Evaluate the functions​
Anna11 [10]

Answer:

(btw the first question answer is -4, not 0)

10

Step-by-step explanation:

(btw the first question answer is -4, not 0)

So to solve the 2nd equation you substitute t with 30

so 30-2/3*30

30-20=10

6 0
3 years ago
On Friday a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers sold was
marusya05 [52]
134 hamburgers were sold and 402 cheeseburgers.

please vote my answer brainliest. thanks!
7 0
3 years ago
Jessica has 86 fake tattoos she kept 23 for herself and then shared the rest with 7 of her friends how many tattoos did each fri
Mama L [17]

86-23=63

63/7=9

you're welcome!

. . . . . . . .

6 0
3 years ago
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