All categories

2 years ago

The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?

1 answer:

8 0

Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root.

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula.

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36

You might be interested in

48 pens are packed in four boxes how many pens are packed in nine boxes

katovenus [111]

Answer:

108 pens

Step-by-step explanation:

48/4=x/9

4x=432

x=108

3 0

3 years ago

Read 2 more answers

A store is selling a bicycle for $245.00. The store marks bicycles up by 40%. What is the original price of the bicycle?

Alex_Xolod [135]

Answer:

147

Step-by-step explanation:

if you multiply by .40 then subtract that from 245 you get 147

6 0

2 years ago

A series circuit contains a resistor and an inductor as shown in the figure. Determine a differential equation for the current i

alukav5142 [94]

From the information given, the differential equation will be di/dt = (E - Ri) / L.

<h3>How to calculate the differential equation</h3>

From the information given, we can set up the differential equation as:

-E(t) = Ldi(t)/Dr + Ti(t) = 0.

Here, i(t) = I

E(t) = E

Therefore, this will be:

= -E + Ldi/dt + Ri = 0

We'll now solve for di/dt

Ldi/dt = E - Ri

di/dt = (E - Ri) / L

Learn more about differential equations on:

brainly.com/question/1164377

8 0

2 years ago

a restaurant has 60 plates one night, 9 groups of 6 people ate dinner at the same restaurant at the same time. how many plates w

adell [148]

Plates used = 54
Plates not used = 6

4 0

3 years ago

A researcher believes that 9% of females smoke cigarettes. If the researcher is correct, what is the probability that the propor

lara31 [8.8K]

Answer:

The probability that the sample proportion would differ from the population proportion by more than 3% is 0.0027.

Step-by-step explanation:

Let X = number of females who smoke cigarettes.

The probability that a female smoke cigarettes is, p = 0.09.

A random sample of size, n = 703 females were selected to determine the sample proportion of females who smoke cigarettes.

A female smoking cigarettes is independent from others.

The random variable X follows a Binomial distribution with parameters n = 703 and p = 0.09.

Now, as the sample size is quite large, i.e. n = 703 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be described by the Normal distribution.

The mean of this sampling distribution is same as the population proportion, i.e. $\mu_{\hat p}=p=0.09$ .

And the standard deviation of the sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.09(1-0.09)}{703}}=0.0108$

Compute the probability that the sample proportion would differ from the population proportion by more than 3% as follows:

$\hat p-p>0.03\\\hat p>0.03+p\\\hat p>0.03+0.09\\\hat p>0.12$

Compute the value of $P(\hat p>0.12)$ as follows:

$P(\hat p>0.12)=P(\frac{\hat p-p}{\sigma_{\hat p}}>\frac{0.03}{0.0108})\\=P(Z>2.78)\\=1-P(Z$

Thus, the probability that the sample proportion would differ from the population proportion by more than 3% is 0.0027.

7 0

2 years ago