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3 years ago

What is -4-(-12)? I don't know if you add them or subtract.

1 answer:

7 0

You subtract negative 4 and negative 12...think in a number line and you find negative 4 and then you decrease( which means you move to your left of the number line) and find negative 12 and then you count the spaces you took to get to negative 12

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PLS HELP ME UNDERSTAND THIS

Romashka-Z-Leto [24]

Answer:

Exact form: 44/15

Decimal form: 2.93 repeating

Mixed number form: 2 14/15

Step-by-step explanation:

6 0

3 years ago

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15c

Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate team

b) 2.56% probability that none of the offices are filled by members of the debate team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

(a) What is the probability that all of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

$D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{1680}{32760} = 0.0513$

5.13% probability that all of the offices are filled by members of the debate team

(b) What is the probability that none of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

$D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{840}{32760} = 0.0256$

2.56% probability that none of the offices are filled by members of the debate team

7 0

3 years ago

Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of

GaryK [48]

Answer:

15%

Step-by-step explanation:

Since a percent is out of 100 we can make 75/500 to have the denominator of 100.

To do that you divide

500/5 = 100

and for the numerator

75/5 = 15

whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%

Hope that helps and have a great day!

7 0

3 years ago

Which one is the pair of vertical angles?

7nadin3 [17]

Answer:

b. angle 1 and angle 4 are vertical angles

4 0

3 years ago

PLEASE SHOW WORK I WILL GIVE BRAINLIEST!!!<br><br> x-2y-2z=2<br> 5x+2y-4z=-2<br> -5y-5z=0

mafiozo [28]

Step-by-step explanation:

lets separate z from each equation

2z=x-2y-2

4z=5x+2y+2

5z=-5y

z=x/2-y-1

z=5x/4+y/2+1/2

z=-y

lets use the first and third equation

we have z=-y we replace this z at the first equation

-y=x/2-y-1 so x/2-1=0

x/2=1

x=2

now we replace z=-y and x=2 at the second equation so

-y=5*2/4+y/2+1/2

-y/2-y=5/2+1/2

-3y/2=6/2

-3y/2=3

-y/2=1

y=-2

we know that z=-y

so z =-(-2)=2

finaly we have that

x=2 ,y=-2 ,z=2

7 0

3 years ago