MATHEMATICS HIGH SCHOOL

A city council consists of six democrats and seven republicans. if a committee of five people is​ selected, find the probability of selecting three democrats and two republicans.

Answers

Answer 1
Answer: Given that a city council consists of six democrats and seven republicans, the probability of selecting three democrats and two republicans if a committee of five people is to be selected is given by

( ^6C_3* ^7C_2)/( ^(13)C_5) = (20*21)/(1,287) \n \n = (420)/(1,287) =0.3263

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A sixth-grade class is painting a mural. To make a darker shade of orange, they use a ratio of 5 ounces of red paint to 3ounces of yellow paint. Use this ratio to consider the amount of yellow paint needed for each amount of red paint listed in the table.
Point Red Paint, x
(ounces) Yellow Paint, y
(ounces)
A
5

B
15

C
20


Determine ordered pairs for points A
, B, and C

, and graph the relationship of the amount of red paint to the amount of yellow paint on the coordinate plane.

Click on the grid to plot the three points.

Answers

Answer:

I think its B

Step-by-step explanation:

If you decide to play a Pick 3 lottery game, in which you have to guess the exact order of the three numbers, what is your probability of winning? All 3 numbers will be between 0 and 9 and can be chosen more than once. A. 1/100 B. 1/1000 C. 3/1000 D. 1/720

Answers

Answer:

Option B is correct.

Step-by-step explanation:

We have been given that  3 lottery games have decided to play

So, here we have total possibility of numbers s between 0 and 9 which is total of 10 numbers

And number can be chosen more than once.

So, the probability will be (1)/(10)\cdot (1)/(10)\cdot (1)/(10)

On simplification we will get

the probability of winning (1)/(1000)

Therefore, option B is correct.

What is the equivalent radical expression for the exponential expression 51 1/2

Answers

51 1/2=(51*2+1)2
=(102+1)/2
=(103)/2

PLEASE HELP ASAP 15 BRAINLY POINTS1) (multiple answers pick two) Does the equation represent a direct variation? If so, identify the constant of variation.
17y = 85x

A) Yes
B) No
C) 5
D) 1/5


2) Determine whether the relationship is a direct variation.
X : 3, -1 , -4
Y : -6, 2, 8

A) yes
B) No


3) Is the relationship shown a direct variation? (it's not absolute value is a table chart)
| X  | Y |
| -2 | 5  |
| 1  | 3  |
| 4  | 1  |

A) yes
B) No


4) Determine whether the relationship is a direct variation.
------------------------------
| X |   6    |   9    |   17  |
-------------------------------
| Y | 13.2 | 19.8 | 37.4 |
-------------------------------

A) yes
B) no

5) Determine which equation does NOT represent a direct variation.

A) 6x - y = 0
B) y = 4x + 1
C) y = -2x
D) y = 1/3x


6) (multiple answer pick 2) Tell whether the equation represents a direct variation. If so identify the constant of variation. y + 3x = 0

A) Yes
B) No
C) -3
D) 1/3
E) 3

Answers

1.) The answer is (B) No, because direct variation is written as y = kx, but the problem was not written that way.

2.) Answer: Yes; if you write x = ky, you will find that each x value given multiplied by a common k equals a corresponding y value.

3.) Answer: No; each x value does not multiply by a constant k to get the y values.

4.) Answer: Yes; each x value multiplies by 2.2 to get each corresponding y value.

5.) Answer: B; this is the only one that isn't or can't be written in y = kx form.

6.) Answer: Yes & -3; y + 3x = 0 can be written as y = -3x, which is a direct variation equation. The constant is just the -3.

1) b

2) no

3) c

4) a

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm? Choose the correct answer. 6.2 + b = 14.5 9.3 + b = 14.5 12.4 + b = 14.5 18.6 + b = 14.5

Answers

B) 9.3 + b = 14.5

Just did it on edge!!
Perimeter is the sum of all sides of a polygon. For this case, the perimeter is expressed as: P=a+b+c. It has been said that the longest side is twice that of the shortest side. Let's assume that a is the longest side and b is the shortest side. So, the equation for the shortest side is,

6.2 = 2c
c = 3.1

14.5 = 6.2 + 3.1 + b
14.5 = 9.3 +b

Fred Johnson total insurance premium is 1,200. His employer pays 60% of the total premium. How much does Fred pay?

Answers

we can set up a proportion to find this

60      x
---  = ----
100   1200

then we cross multiply and divide to solve

60 times 1200 is 72000 divided by 100 is 720

now we know his employer pays 720 out of 1200

we subtract to find out how much he pays

1200-720 is 480

fred pays 480
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