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3 years ago

8

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probabi

lity that a student chosen randomly from the class plays a sport and an instrument?

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

13 because all you need to do is multiply 10 by 3 then subtract 27

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Find XS, VY, and YZ. I am very confused on what to do.

Dafna1 [17]

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all the way up to the U. I hope this helps!

7 0

3 years ago

This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone

kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>

It is NOT a multiple of 2.

When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>

It is a multiple of 2.

When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.

<h2>With the x + 2, x + 4, etc:</h2>

An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

$x= 17\\x + 2 = ?\\(17) + 2 = 19$

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

$x=2\\x + 6 = ?\\(2) + 6= 8$

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0

3 years ago

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0

3 years ago

What is the number 4.082 rounded to nearest hundreth?

iragen [17]

The 2nd number position after the decimal is always the hundredth position, so we will work from there. To round a number, you must examine the number that comes after the number you are trying to round. In this case the number you are trying to round is the 8 so we have to look at the 2. because the two is a number less than 5, the 8 will remain an 8 and your rounded answer is 4.08. If that two had been a number greater than 5 than the 8 would have become a 9 and your answer would have been 4.09. When rounding always remember: "5 to 9, up the line; 0 to 4, down to the floor."

7 0

3 years ago

Mikaela travels 15 blocks on her skateboard in 5 minutes. At this speed, how many blocks can she travel on her skateboard in 12

Alchen [17]

Answer:

36 blocks.

Step-by-step explanation:

We have been given that Mikaela travels 15 blocks on her skateboard in 5 minutes. We are asked to find the number of blocks that she can travel on her skateboard in 12 minutes.

We will use proportions to solve our given problem.

$\frac{\text{Blocks traveled}}{\text{Time taken}}=\frac{15}{5}$

$\frac{\text{Blocks traveled}}{12}=\frac{15}{5}$

$\frac{\text{Blocks traveled}}{12}\times12=\frac{15}{5}\times12$

$\text{Blocks traveled}=3\times12$

$\text{Blocks traveled}=36$

Therefore, Mikaela will travel 36 blocks on her skateboard in 12 minutes.

3 0

3 years ago

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