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djyliett [7]
3 years ago
14

Which order pair is a solution to the system of linear equations -4+y=8 and x-5y=17?

Mathematics
2 answers:
nata0808 [166]3 years ago
7 0

Answer:

(77,12)

Step-by-step explanation:

-4+y=8

x-5y=17

We need to solve for x  and y

USe substitution method, we solve the first equation for y

-4+y=8 , add 4 on both sides to get y alone

y=12

Now we plug in 12 for y in the second equation and find out x

x-5y=17

x-5(12)=17

x-60=17

Add 60 on both sides

x= 77

The ordered pair is (x,y). our x=77 and y=12

So ordered pair is (77,12)

andreev551 [17]3 years ago
4 0

Hello!

To find this ordered pair, we solve for x and y and put them together in an ordered pair.

-4+y=8

x-5y=17

Let's solve the first equation for y.

y= 12

Now, let's plug 12 into the second equation for y.

x-5(12)=17

x-60=17

x=77

Therefore, our ordered pair is (77,12)

I hope this helps!

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3 years ago
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
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Answer:

A.

mean = 724.2

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B.

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Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

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2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

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Please check attachment for the full calculation of the standard deviation

C.

Interval

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= [724.2-2x29.3, 724.2+2x29.3]

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5 0
2 years ago
Read 2 more answers
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