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IgorLugansk [536]
3 years ago
6

if the radius of a sphere is tripled, the surface area of a sphere will increasea) by a factor of 3b) by a factor of 4c)by a fac

tor of 6d)by a factor of 9
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The area and the radius of a sphere are related by the formula:

A=4πr^2

Let’s say this is A1 and r1

Now the radius is tripled. This means r2 = 3r1

The new area thus becomes: A = 4 * (3r)^2 * π = 36πr^2

Comparing A1 and A2 , we can see that A2 = 9A1

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According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?
leonid [27]

Given:

P(A\cap B)=\dfrac{3}{4}

P(B)=\dfrac{4}{5}

To find:

The P(A|B).

Solution:

Conditional probability:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Substituting the given values, we get

P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}

P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}

P(A|B)=\dfrac{16}{16}

Therefore, the correct option is B.

8 0
3 years ago
30pts! im currently in the middle of taking the test :(
nadya68 [22]

Answer:

16 /65  +  28 i /65

Step-by-step explanation:

5 0
3 years ago
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Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9. 42 squar
kap26 [50]

She needs to buy 6 bags of soil. the correct option is B

Given

Caisha has a circular garden with a radius of 4 ft.

She needs to put a layer of soil on top. e

Each bag of soil covers 9.42 square feet.

<h3>What is the radius of a circular garden?</h3>

The radius of the circular garden is equal to the pie times of the square of the radius.

The radius of the circular garden is;

\rm Area = \pi r^2\\\\Area = 3.14 \times (4)^2\\\\ Area = 3.14\times 16\\\\Area =50.24

Therefore,

The number of bags of soil will she need to buy is;

\rm = \dfrac{Area }{Soil \ covers}\\\\= \dfrac{50.24}{9.42}\\\\= 5.33\\\\= 6 \ bags \ apporx

Hence, she needs to buy 6 bags of soil.

To know more about the area click the link given below.

brainly.com/question/11541452

6 0
2 years ago
What is the rule for the pattern 1,5,17 missing number and 161?
kifflom [539]
The pattern is you multiply by 3, and add 2, so the missing number would be 53
6 0
3 years ago
Find the probability of exactly four successes in five trials of a binomial experiment in which the probability of success is 40
hodyreva [135]

Answer:

p(4 successes) ≈ 7.7%

Step-by-step explanation:

p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)

You have n=5, k=4, p=0.4, so the probability is ...

p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768

p(4 successes) ≈ 7.7%

8 0
3 years ago
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