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3 years ago

Help pls Ill mark brainliest

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

First, find the slope: 8 - 2 / 6 - - 3

6 / 6 + 3

6 / 9

y-y₁=m(x-x₁)

<h2>y-8=2/3(x-6): Point Slope Form</h2>

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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

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

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

3 years ago

A change machine changes dollar bills into quarters and nickels. If you receive 12 coins after inserting a dollar bill, how many

Rudik [331]

Well, given that a quarter equals 5 nickels, we can reason that, in order to get 12 coins, we would have to get 10 nickels (equals 50 cents) and 2 quarters (the other 50 cents, to make a dollar).

You didn't say whether you needed this expressed in a mathematical formula, but knowing the answer already, it shouldn't be hard to come up with one if necessary.

Hope this helps.

3 0

4 years ago

Read 2 more answers

Can you help me do this please

Salsk061 [2.6K]

The top part equals 1 because anything to the power of zero equals one. then for the second one bring every variable with a negative exponent to the top and leave the 2 at the bottom

5 0

3 years ago

I will give brainliest

garri49 [273]

4(100)=400
400/1=400
You will need 400 stakes

7 0

3 years ago

Twice the difference of a number and 7 equals 5

RideAnS [48]

Hey there!

Let's write an equation given this information. We will use x to represent the number.

2(x-7)=5

Now, we use the distributive property to remove the parentheses.

2x-14=5

Now, we add 14 to both sides.

2x=19

We divide both sides by 2.

x=9.5

Therefore, our number is 9.5

I hope this helps!

4 0

3 years ago