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Katarina [22]
2 years ago
13

A sculpture is created with colored blocks each with a volume of 1 cubic foot. What is its volume if the sculpture is 12 feet lo

ng, 5 feet wide and 8 feet high?
Mathematics
1 answer:
padilas [110]2 years ago
7 0

Answer:

480 ft^3

Step-by-step explanation:

We can calculate the volume of the sculpture with the data they give us in the statement.

The volume would be the multiplication between the length, width and height, that is:

v = l * w * h

we know that l = 12 ft; w = 5 ft; h = 8 f, replacing:

v = 12 * 5 * 8

v = 480

in other words, the volume of the sculpture is 480 cubic feet, therefore 480 color blocks are needed because its volume is 1 cubic foot.

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Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;

(the number of times a 4 was rolled)/(total number of rolls)

8/20 = 0.4

0.4*100 = 40%

The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;

P(HT or TH or TT)

The above events are mutually exclusive, thus;

P(HT or TH or TT) = P(HT) + P(TH) + P( TT)

                               = (22+34+16)/(28+22+34+16)  

                               = 0.72 = 72%

On the other hand, the theoretical probability of obtaining at least one tails,

P(HT or TH or TT) = 3/4

                              = 75%

This is because there is at least one tail in 3 out of 4 possible outcomes.

Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.

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2 years ago
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3 years ago
Evaluate: f(x) = f(g(3)), where<br>f(x)= 3x-2 and g(x)= x^2-4
dimulka [17.4K]

Hello from MrBillDoesMath!

Answer:  13

Discussion:

Evaluate f(g(3)).

g(3) = 3^2 -4 = 5 so

f(g(3)) = f(5) = 3*5-2 = 15 -2 = 13


Thank you,

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