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valentina_108 [34]
3 years ago
5

Solve the system of linear equations by substitution. Check your solilution.y=x+3 y=5x-5​

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Substitute the expression for y in the second equation into the first equation:

  5x -5 = x +3

  4x = 8 . . . . . . add 5-x to both sides

  x = 2 . . . . . . divide by 4

  y = 2+3 = 5 . . . substitute for x in the first equation

The solution is (x, y) = (2, 5).

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Answer:

4 digit

The answer is 2255

Step-by-step explanation:

√5085025 = 2255

Thus, The answer is 2255

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A number added to 12 and then subtracted by 18 equals 26. What is the number
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Step-by-step explanation:

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Cholesterol levels for a group of women aged 30-39 follow an approximately normal distribution with mean 190.14 milligrams per d
Anettt [7]

Answer:

Step-by-step explanation:

Hello!

X: Cholesterol level of a woman aged 30-39. (mg/dl)

This variable has an approximately normal distribution with mean μ= 190.14 mg/dl

1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:

P(Z≥z₀)= 0.093

-*or*-

P(Z≤z₀)= 0.907

Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:

P(Z≤z₀)= 0.907

Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:

z₀= 1.323

2.

Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:

Z= (X- μ)/δ ~N(0;1)

Z= (X- μ)/δ

Z*δ= X- μ

δ=(X- μ)/Z

δ=(240-190.14)/1.323

δ= 37.687 ≅ 37.7 mg/dl

I hope it helps!

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3 years ago
Calculate 7/8 x c for c=8
ankoles [38]
The answer is 7, because 0.875*8= 7
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4 years ago
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