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3 years ago

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

2 answers:

5 0

Hope you know that formula for volume of a cube is area of base time height
and volume of a square pyramid is area of base time height divide 3
- so in this your exercise case we know that area of cube is 36 cm^3 what is area of base time height
- so this mean that the volume of a square pyramide what can fit perfectly inside the cube will be equal 36/3 = 12 cm^3

stiv31 [10]3 years ago

3 0

Answer:

$\text{The volume of square pyramid is}12cm^3$

Step-by-step explanation:

Given a cube with a volume of 36 cubic centimeter. we have to find the volume of square pyramid that can fit perfectly inside the cube.

As the pyramid base is same as the side of cube

$\text{Volume of cube is }a^3$

$\text{Volume of square pyramid is=}\frac{a^3}{3}$ (∵a=h)

i.e the volume of square pyramid is one-third of the volume of cube.

∴ $\text{Volume of square pyramid is=}\frac{1}{3}\times\text{Volume of square pyramid}$

$=\frac{36}{3}=12cm^3$

Hence, $\text{the volume of square pyramid is}12cm^3$

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As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____. a. binomial distribution b.

kkurt [141]

Answer:

c. normal probability distribution

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

By the Central Limit Theorem, it is a normal distribution, so option c.

7 0

3 years ago

I need help

Trava [24]

The answer to that question is the sum of the hours he studied for on both days, which will be 1/4 + 3/8.

However, we cannot add fractions with different denominators. In this case, it's 4 and 8.

So if we want to add them, we must make the denominators similar to each other. How to make 4 into 8? We multiply it by 2: 4 x 2 = 8.

BUT when we multiply fractions, we must multiply both the numerator and the denominator by the same number to keep its original value. In this case, if you want to multiply 4 by 2, you must also multiply 1 by 2.

=> SO to make 1/4 into y/8, we will multiply it like this (1 x 2) / (4 x 2) = 2/8

Now we can add the 2 fractions together. 2/8 + 3/8 = (2 + 3)/8 = 5/8. THIS IS YOUR ANSWER.

TL;DR: He studied 5/8 (or 0.625) hour altogether on both days.

5 0

3 years ago

Read 2 more answers

While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100

torisob [31]

Answer:

Speeding at 160.934 km/hr

Step-by-step explanation:

1 mile = 1.609344 kilometers

1.609344 * 100 = 160.934 kilometers

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3 years ago