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Dima020 [189]
2 years ago
9

25. Jared works at a pet store. He is showing a customer a small aquarium that measures 3 feet by 1.5 feet and is 2 feet deep. A

large aquarium has double the size of the small aquarium in each dimension, 6 feet by 3 feet by 4 feet. Jared tells the customer that the large tank holds twice as much water as the small tank. Is jared correct?
A)No, the large tank holds the same amount of water
B) No, the large tank holds 4 times as much water
C) Yes, the large tank holds exactly 2 times as much water as the small tank
D) No, the large tank holds 8 times as much water as the small tank
Mathematics
2 answers:
Keith_Richards [23]2 years ago
7 0

Hi!

For this question, you want to find the volume of each aquarium. To find volume, just multiply all the dimensions dogether.

For the small aquarium: 3 * 1.5 * 2 = 9 feet cubed

For the large aquarium: 6 * 3 * 4 = 72 feet cubed

Therefore, no, he is not correct, as the large aquarium holds 8 times as much water as the small one. Option D is correct.

If you would like a faster way to do this, if you look at the two dimensions, you'll see each dimension for the large aquarium is two times the respective dimensions of the small one. Since there are three dimensions, and each is two times larger, you can just do 2 * 2 * 2 to get 8 times, as the dimensions are all multiplied with one another.

Hope this helped!

madam [21]2 years ago
4 0

Answer:

D) No, the large tank holds 8 times as much water as the small tank.

Step-by-step explanation:

The dimensions of small aquarium is 3 feet by 1.5 feet by 2 feet.

Its volume is :

3\times1.5\times2=9 cubic feet.

The dimensions of the large aquarium is 6 feet by 3 feet by 4 feet.

Its volume is :

6\times3\times4=72 cubic feet.

Larger tank holds \frac{72}{9} = 8 times the volume of smaller tank.

Jared tells the customer that the large tank holds twice as much water as the small tank.

No, Jared is not correct because the large tank holds 8 times as much water as the small tank.

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g(x) =  \sqrt[3]{x + 2}  - 4

The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.

The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.

The correct option is A.

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Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common
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Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =  

4.4722

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Which expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4)?<br>​
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Find the sum (3x^2+5x-8)+(5x^2-13x-5)
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3 years ago
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Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

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The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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