Help me with my 8th grade math by answering them plz ive been on this fo 2 hours

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

The square root of 21 is a decimal or 3 square roots of 3

Are you looking for answers with decimals?

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How many number lines comprise the basic parts of a cartesian coordinate system?

Dafna11 [192]

The correct answer is 2.

Explanation:

The Cartesian coordinate system is made up of 2 axes, the x-axis and the y-axis.

Each axis is a number line; the x-axis is a number line that runs horizontally across the graph, and the y-axis is a number line that runs vertically along the graph.

6 0

3 years ago

Read 2 more answers

A student dance committee is to be formed consisting of 2 boys and 4 girls. If the membership is to be chosen from 5 boys and 6

Paha777 [63]

150 different committees are possible

<h3>Solution:</h3>

Given that a student dance committee is to be formed consisting of 2 boys and 4 girls

The membership is to be chosen from 5 boys and 6 girls

To find : number of different possible committees

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combination is given as:

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

where "n" represents the total number of items, and "r" represents the number of items being chosen at a time

We have to select 2 boys from 5 boys

So here n = 5 and r = 2

$\begin{aligned} 5 C_{2} &=\frac{5 !}{(5-2) ! 2 !}=\frac{5 !}{3 ! 2 !} \\\\ 5 C_{2} &=\frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1 \times 2 \times 1} \\\\ 5 C_{2} &=10 \end{aligned}$

We have to select 4 girls from 6 girls

Here n = 6 and r = 4

$\begin{aligned} 6 C_{4} &=\frac{6 !}{(6-4) ! 4 !}=\frac{6 !}{2 ! 4 !} \\\\ 6 C_{4} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 4 \times 3 \times 2 \times 1}=15 \end{aligned}$