All categories

4 years ago

I will give 100 points to the first answer that is correct

Mathematics

2 answers:

matrenka [14]4 years ago

8 0

Answer: D) 32

Each side of the cube is 8 units, so the perimeter of one side is 4*8 = 32.

Nimfa-mama [501]4 years ago

7 0

Answer:

D) 32

Step-by-step explanation:

The volume of a cube is:

v=s³

512=s³

Take the cube root of both sides

s=8

To find the perimeter of a square,

p=4s

p=4(8)

p=32

So, D is your answer! Hope this helped!

You might be interested in

Hi um I need help so if you could thank you.

morpeh [17]

Answer:

48 is 8 times as many as 6.

4 times as many as 12 is 48.

1.75 is 14 times as many as 8.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

I need help ASAP.<br><br> 3+2-(6-(1+1)

beks73 [17]

Answer:

Step-by-step explanation:

3+2-(6-(1+1)

3+2-(6-2)

3+2-4

5 0

4 years ago

Read 2 more answers

Two sixth grade classes are raising money. Mrs. Shen's class raises $120. Mr. McClary's class raises 50% of the amount Mrs. Shen

kondaur [170]

Answer:

C, He got that answer by thinking that the question was asking how much Mr.McClary's class made

Step-by-step explanation:

Mrs.Shen Raised $120

Mr. McClary raised $60 (50% of 120)

120

+<u>60</u>

180

4 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial 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.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.