All categories

2 years ago

What is the value of A(6), the surface area of a sphere with a radius of 6 units?

Mathematics

1 answer:

Paraphin [41]2 years ago

8 0

Here, we have: A(r) = 4πr²
We need to calculate it for r = 6,
A(6) = 4π(6)²
A(6) = 4π(36)
A(6) = 144π

In short, Your Answer would be Option D

Hope this helps!

You might be interested in

What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.

Lelechka [254]

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

6 0

2 years ago

The Bakhshali Manuscript shows that another method for calculating nonperfect squares was being used in India by 400 CE. Use thi

vovikov84 [41]

The nearest perfect square that is less than 22 is 16, whose square root is 4.

Add the square root from step 1 to 3/4 to get 4.75.

Calculate the quantity one-half times the square of divided by the value found in step 2, or 4.75. (1/2 * (3/4)^2) ÷ 4.75 = 0.06.

Subtract the value found in step 3 from the value found in step 2, or 4.75.
The approximate value of √22 is 4.69.

7 0

2 years ago

Read 2 more answers

The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook

kogti [31]

Answer:

34.86% probability that it will be huge success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge successes

This means that $P(B) = 0.2$

99 % of the huge successes received favorable reviews

This means that $P(A|B) = 0.99$

Probability of receiving a favorable review:

20% are huge successes. Of those, 99% receive favorable reviews.

30% are modest successes. Of those, 70% receive favorable reviews.

30% break even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

$P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568$

Finally

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486$

34.86% probability that it will be huge success

4 0

2 years ago

A randomized study compared two different systems for tracking baggage at an airport. The treatment group using System A reporte

Natasha2012 [34]

Answer:

D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.

Step-by-step explanation:

The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.

The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.

As we know, in statistics, nothing happens by chance. So, this option is correct.

8 0

2 years ago

Read 2 more answers

Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $

Annette [7]

Let C be the amount of compost

T be the amount of topsoil

Each compost cost = $25

Cost of C compost = 25C

Each topsoil cost = $15

Cost of T topsoil = 15T

Amount of compost + amount of topsoil = 10

C + T = 10 -------> Equation 1

cost of C compost + cost of T topsoil = 180

25C + 15T = 180 --------> equation 2

Solve the first equation for C

C + T = 10

C = 10 - T

Now plug it in second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

250 - 25T + 15T = 180 (combine like terms)

250 - 10 T = 180 (Subtract 250 on both sides)

-10T = 180 - 250

-10T = -70 ( divide by -10 on both sides)

T = 7

She purchased 7 cubic yards of topsoil .

4 0

2 years ago

Read 2 more answers