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3 years ago

Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

Volume of rectangular prism = $20\ cm^3$

Step-by-step explanation:

Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.

To find volume of rectangular prism.

Solution:

Volume of rectangular prism is = $length\times width \times height$

We know that all sides of a cube are equal in measure.

So, we will count the number of cubes on each side to get the exact measure.

Length side = 4 cubes = 5 cm

Width side = 2 cubes = 2 cm

Height side = 2 cubes = 2 cm

Thus volume of rectangular prism = $5\ cm\times 2\ cm \times 2\ cm$

Volume of rectangular prism = $20\ cm^3$

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What is 184.24 to 4 significant figures

siniylev [52]

184.2 is the answer to 4 significant figure

4 0

3 years ago

How many triangles will be in the 5th set of triangles?

tia_tia [17]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The second triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top - total 9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

6 0

3 years ago

1. If m< 1 = 7x + 6 and m2 2 = 8x – 6, find the value of x so that p is<br> perpendicular to q.

Tatiana [17]

Answer:

7x + 6 =8x - 6

x= 12

Step-by-step explanation:

put them equal to each other
then subtract 8x from both sides

7x(-8x) + 6 = 8x(-8x) - 6

to get -1x

-1x + 6 = -6

then subtract 6 from both sides

-1x +6(-6) = -6(-6)

you'll get -1x = -12
then divide -1 to both sides

-1x/-1 = -12/-1

then you get x = 12

3 0

3 years ago

A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$