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3 years ago

What are the slope and the y-intercept of the line shown in the graph?

Mathematics

2 answers:

malfutka [58]3 years ago

5 0

Answer:

Step-by-step explanation:

The line cuts the y at positive two. The rise over run of the slope is -3/1, or 3.

Just had a test on these kinds of problems and i got 100.

Serggg [28]3 years ago

5 0

Answer:

Step-by-step explanation:

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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

If 83 : 45 :: 72 : ? solve and find the answer

olga55 [171]

Answer: $x=\dfrac{3240}{83}$

Step-by-step explanation:

Given: 83 : 45 :: 72 : ?

Let unknown quantity (?) be x.

Now, x : y :: a : b

$\Rightarrow\ \dfrac{x}{y}=\dfrac{a}{b}$

83 : 45 :: 72 : x

$\Rightarrow\ \dfrac{83}{45}=\dfrac{72}{x}\\\\\Rightarrow\ x=\dfrac{72}{83}\times45\\\\\Rightarrow\ x=\dfrac{3240}{83}$

Hence, $x=\dfrac{3240}{83}$

7 0

3 years ago

If DE = EF, then what is the measure of angle CEF?

WITCHER [35]

Answer:

45 degrees

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the answer to this?

Eddi Din [679]

Answer:

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Step-by-step explanation:

8 0

3 years ago

???Please help because I don’t understand this at all~Question is the picture

Studentka2010 [4]

Answer:

You will know that b<a

Step-by-step explanation:

Why? Well, it is simple really. They are OPPOSITES. Therefore, the inequality will be opposite.

Example:

a=1, b=2

1<2

a's opposite=-1, b's opposite=-2

-1>-2

-2<-1

7 0

3 years ago

Read 2 more answers