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KonstantinChe [14]
2 years ago
9

X + 3y = 1 5x +6y = 14

Mathematics
2 answers:
marshall27 [118]2 years ago
4 0

Answer:

1. X = 1 - 3y

2. -5/6x + 7/3

Those are the answers to the problems

rusak2 [61]2 years ago
3 0
(x,y) = (4,-1)

x + 3y = 1 subtract 5 from both sides you get -5x -15y =-5

now sum it up
-5x -15y =-5
5x +6y = 14
you get -9y = 9
divide both sides by -9

you get y=-1

NOW substitute y for x + 3 times (-1)= 1

solve for x and get x=4

therefore your answer is (4,-1)

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There are 30 students in Mr.Thomas' class.If he wants 20% of the students in each group, how many students will be in. each grou
zhuklara [117]
First you find out what 20% of 30 is (30 * 0.20 = 6)
Then you take 30/6 to get your answer (30/6 = 5)
There will be 5 students in each group.
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3 years ago
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A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the ques
STALIN [3.7K]
Set up a proportion. 3.50 over 5 = x over 1 (x is what we are trying to find= the cost of 1 lb of apples)
Use cross products and multiply 3.50 by 1 to get 3.50 and then divide that by 5 to get 0.7.

So the apple cost 0.7 or seventy cents per pound.

Check: 0.7*5=3.5

That is correct!

Hope this helps!
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3 years ago
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evelyn rode her horse along a triangular path. The distance she traveled south was 5 times the distance she traveled east. Then
cricket20 [7]

(5x)^2 + x^2 = c^2

25x^2 + x^2 =c^2

sqrt 26 x ^ 2 = sqrt c^2

x sqrt 26= c

so answer is 6x + x sqrt 26

8 0
3 years ago
I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

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2 years ago
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vesna_86 [32]

Answer:

21

Step-by-step explanation:

the sum of the express of the summation of the notation

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