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dem82 [27]
3 years ago
9

Sean used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
We calculate for the volumes of each of the wax needed for the candles through the equations presented below.

For cylinder:
                             V = πr²h
where V is volume, r is radius and h is height.

Substituting the known values,
 
                           V = (3.14)(3 in)²(6 in)
                            V = 169.56 in³

For sphere:

                         V = 4πr³/3
Substituting the known values,
                        V = 4(3.14)(3 in)³ / 3 = 113.04 in³

The difference between the two volumes,

                         difference of volumes = 169.56 in³ - 113.04 in³
                         <em>difference of volumes = 56.52 in³</em>

Thus, the answer to this item is the last choice. 
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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
In the equation y=-2x + 3, if x = 7, what does y equal
Ahat [919]

Answer:

-11

Step-by-step explanation:

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Pls help me do this :']
JulijaS [17]

Answer:

ur mom

Step-by-step explanation:

7 0
2 years ago
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Daren and Josh are pretty good free throw shooters. Daren makes 75% of the free throws he attempts. Josh makes 80% of his free t
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Step-by-step explanation:

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Use the function below to find F(3). <br><br> F(x) = 4(1/3)^x​
aalyn [17]

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

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3 years ago
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