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frozen [14]
3 years ago
13

The Olympic-size pool at the recreational center is a right rectangular prism 50\, \text{m}50m50, start text, m, end text long a

nd 25 \,\text{m}25m25, start text, m, end text wide. The pool contains 3000\text{ m}^33000 m 3 3000, start text, space, m, end text, cubed of water.
Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

The depth of the water in the pool is 2.4 metres

Step-by-step explanation:

The Volume of Water in the Pool= 3000m³

Length of the Pool=50m

Width of the Pool=25m

Height=?

Volume of a Rectangular Prism= Length X Width X Height

3000= 50 X 25 X Height

3000= 1250H

H=3000/1250

Therefore, the Height of water in the pool = 2.4m

The water in the pool is 2.4 metres deep.

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From the sample space S​={1,2,3,4,...,15} a single number is to be selected at random. Given the following​ events, find the ind
marshall27 [118]

The probabilities of the given events are:

A. P(even) = P(A) = 7/15

B. P(multiple) = P(B) = 3/15

C. P(prime) = 6/15

D. P(B|A) = 3/7

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes.

P(E) = n(E)/n(S)

<h3>Calculation:</h3>

The given sample space is S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

So, n(S) = 15

A. The selected number is even:

Consider the event as A.

The set of even numbers in the given sample is {2,4,6,8,10,12,14}

So, n(A) = 7

Then, the required probability is

P(A) = n(A)/n(S)

       = 7/15

B. The selected number is a multiple of 4:

Consider the event as B.

The set of multiples of 4 in the given sample is {4,8,12}

So, n(B) = 3

Then, the required probability is

P(B) = n(B)/n(S)

       = 3/15

C. The selected number is prime:

Consider the event as C.

The set of prime numbers in the given sample is {2,3,5,7,11,13}

So, n(C) = 6

Then, the required probability is

P(C) = n(C)/n(S)

       = 6/15

D. calculate P(B|A):

Since events B and A are dependent events of the same sample,

n(A∩B) = 3 and the set is {4,8,12}. Then, P(B|A) is

P(B|A) = n(A∩B)/n(A)

⇒ P(B|A) = 3/7

Learn more about the probabilities here:

brainly.com/question/251701

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7 0
2 years ago
Juan and Carlos have Walked 3/4 mile and are 2/3 the distance around Fort Meade. What is the distance around Fort Meade?
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1 and 1/8 miles. 1/3 is 3/8 of a mile. This 3/3 is 9/8 miles
4 0
3 years ago
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Jamal has run 7 miles from point a to point b of a race. the entire race from point a to point c is 26 miles. how many
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The number of more miles he needs to run to complete the race is 19 miles.

<h3 /><h3>How to find distance in miles?</h3>

He has run 7 miles from point a to point b of a race.

The entire race from point a to point c is 26 miles.

Therefore, the number of more miles he needs to run to complete the race is as follows:

let

x = the more miles he needs to run

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8 0
1 year ago
The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's
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Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x                           Remove the brackets

1600 + 4x = 8100 - x                            Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x     Do the subtraction

4x = 6500 - x                                        Add x to both sides

4x + x = 6500 - x + x        

5x = 6500                                            Divide by 5

5x/5 = 6500/5                                      

x = 1300

1300 gallons were added to the station's tank.

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