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4 years ago

Can someone help me with my last question.

Mathematics

1 answer:

jek_recluse [69]4 years ago

8 0

Given:

Volume of the cone = 23,942.5 cubic cm

Radius of the cone = 25 cm

The value of π ≈ 3.14

To find:

The height of the cone

Solution:

Volume of the cone formula:

$$V=\frac{1}{3} \pi r^2h$

Substitute the given values.

$$\frac{1}{3} \times 3.14 \times 25^2\times h=23942.5$

$$\frac{1}{3} \times 3.14 \times 625\times h=23942.5$

$$654.17\times h=23942.5$

Divide by 654.17 on both sides.

$$\frac{654.17\times h}{654.17} =\frac{23942.5}{654.17}$

$h=36.6$ cm

The height of the cone is 36.6 cm.

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On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in mile

Anettt [7]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d

To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.

t = 1/500 × 800

t = 800/500

t = 8/5

t = 1.6

6 0

3 years ago

Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.

statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used 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.

Suppose a basketball player has made 231 out of 361 free throws.

This means that $p = \frac{231}{361} = 0.6399$

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

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

$P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095$

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

$E = -31*0.4095 + 21*0.5905 = -0.29$

The expected value of the proposition is of -0.29.

3 0

3 years ago

Maria has a bag with 6 red marbles , 6 blue marbles , and 4 green marbles . Without looking Maria pick one marble. She does not

podryga [215]

40%

The probability of her getting a red marble is the number of red marbles divided by the number of total marbles. Since she picked a green marble first, we must subtract one marble from the total number of marbles, so that the total # of marbles is 6 + 6 + 4 = 16 - 1 (green marble) = 15. Since there are 6 red marbles, our probability is 6/15 or 2/5. Converted to percentage form, this is 0.4 —> 40%

7 0

3 years ago

ANYONE KNOW THE ANSWER TO THIS??

mojhsa [17]

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

3 0

3 years ago

Read 2 more answers

When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Westkost [7]

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

3 0

3 years ago