Will give brainliest please help ASAP

Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

BaLLatris [955]

Answer:

$y=-4x+8$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,8), and (8,-24).

substitute

$m=\frac{-24-8}{8-0}$

$m=\frac{-32}{8}$

$m=-4$

step 2

Find the equation of he line in slope intercept form

$y=mx+b$

we have

$m=-4$

$b=8$ ----> the y-intercept is given

substitute

$y=-4x+8$

8 0

3 years ago

A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are

AnnyKZ [126]

Answer:

18

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

5 0

4 years ago

I dont know…………………..

Marysya12 [62]

Answer:

$-3\sqrt{3}$

Step-by-step explanation:

$-4\sqrt{12}+\sqrt{75}$

$-4\sqrt{4*3}+\sqrt{25*3}$

$-4\sqrt{4}\sqrt{3}+\sqrt{25}\sqrt{3}$

$-4(2)\sqrt{3}+5\sqrt{3}$

$-8\sqrt{3}+5\sqrt{3}$

$-3\sqrt{3}$

5 0

2 years ago

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for red, 1/20 fo

VARVARA [1.3K]

Probability helps us to know the chances of an event occurring. The probability of pulling a green or red card is 9 / 100.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

P = $\dfrac{Desired \ outcomes}{Posiible \ outcomes}$

The probabilities of different color cards being pulled are 1/25 for red, 1/20 for green, 1/15 for purple, and 1/10 for black Therefore, the probability of pulling a green or red card is,

Probability = 1/20 + 1/25

= (5 + 4) /100

= 9 / 100

Hence, the probability of pulling a green or red card is 9 / 100.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

3 0

2 years ago

At a 20th high school reunion, all the classmates were asked the number of children they had. The probability of having a partic

finlep [7]

Answer:

a) We need to check two conditions:

1) $\sum_{i=1}^n P_i = 1$

$0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1$

2) $P_i \geq 0 , \forall i=1,2,...,n$

So we satisfy the two conditions so then we have a probability distribution

b) $P(C \geq 1)$

And we can use the complement rule and we got:

$P(C \geq 1)= 1-P(C$

c) $P(C=0) = 0.05$

d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.

Step-by-step explanation:

For this case we have the following probability distribution given:

C 0 1 2 3 4 5 6 7 8

P 0.05 0.14 0.34 0.24 0.11 0.07 0.02 0.02 0.01

And we assume the following questions:

a) Verify that this is a probability distribution

We need to check two conditions:

1) $\sum_{i=1}^n P_i = 1$

$0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1$

2) $P_i \geq 0 , \forall i=1,2,...,n$

So we satisfy the two conditions so then we have a probability distribution

b) What is the probability one randonmly chosen classmate has at least one child

For this case we want this probability:

$P(C \geq 1)$

And we can use the complement rule and we got:

$P(C \geq 1)= 1-P(C$

c) What is the probability one randonmly chosen classmate has no children

For this case we want this probability:

$P(C=0) = 0.05$

d) Look at the answers for parts b and c and explain their relationship

For this case we see that the result from part b use the probability calculated from part c using the complement rule.

5 0

3 years ago