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Sonbull [250]
3 years ago
8

Solve with subsitution y-3x=2 y=-2x-8 show ur work HURRY PLSS

Mathematics
2 answers:
butalik [34]3 years ago
7 0

Answer:

(-2, -4) or x = -2     y = -4

Step-by-step explanation:

Solve with subsitution

y-3x=2

y=-2x-8

1. Substitute -2x - 8 in for the y in y - 3x = 2                          (-2x - 8) - 3x = 2

2. Solve for x.  Combine like terms.                                               -5x - 8 = 2

3. Solve the one step equation.                                                          <u>  +8  +8</u>

                                                                                                              <u>-5x</u> = <u>10</u>

                                                                                                               -5     -5

                                                                                                                x = -2

4. Substitute the -2 in for x in either equation.                                y = -2x - 8

                                                                                                           y = -2(-2) - 8

                                                                                                           y = 4 - 8

                                                                                                           y = -4

IRINA_888 [86]3 years ago
5 0

Answer:

y-3x=2......1

y=-2x-8 ......2

substituting value of y in equation 1

-2x-8-3x=2

-5x=2+8

x=10/-5=-2

substituting value of x in equation 1

y-3×(-2)=2

y+6=2

y=2-6=-4

x=-2

y=-4

(

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Hope this helps!
8 0
4 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
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Orlov [11]

Answer:

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

s^{2} = \frac{\sum_{(i=1)}^n(x_i - mean)^2}{n -1}

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

7 0
3 years ago
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11Alexandr11 [23.1K]

Answer:

6

Step-by-step explanation:

Because 5.8 is closer to 6 than it is to 5.

6 0
3 years ago
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Please solve both questions.
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Salad and pbj: 24 students
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30
-
24
---------
6
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3 years ago
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