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3 years ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4

Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3

_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

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3 years ago

Sam Salmon is interested in purchasing stock. He wants to determine the costs.

zubka84 [21]

1. 100 ABC, $16.25, $1,625, A. 97.68, B. $1,530.32

2. 100 DEF, $11.31, $1,131, A. $67.80, B. $1,062.20

3. 40 GHI, $9.15, $366, A. $21.96, B. $344.04

4. 100 JKL, $15.27, $1,527, A. $91.62, B. $1435.38

5. 100 MNO, $13.22, $1,322, A. $79.32, B. $1242.68

Hope This Helps!!!

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3 years ago

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Amanda has $75 in her savings accountwhile Julie has $30 in her savings account Amanda adds $5 per week into her allowance and J

ELEN [110]

Answer:

$100

Step-by-step explanation:

Every week Amanda adds $5 and every week Julia adds $14. So all you have ti do is add $5 to Amanda's account and $14 to Julia's account until you have the same amount of money for the both of them.

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3 years ago

The area of a parallelogram is 8√90 the base is 2√5. What is the<br> height of the parallelogram?

Vsevolod [243]

Step-by-step explanation:

Area of the Parallogram =bh

8√90=2✓5*h

12✓2=h

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3 years ago

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1. Suppose you invest $1000 at an annual interest rate of 4% compounded continuously. How much will you

BlackZzzverrR [31]

You take the 4% and multiply that by eight then you get 0.32 and you multiply that by 1000 and you get 320.00

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3 years ago