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2 years ago

What is the solution set for -4x+10 ≥ 5x+55

Mathematics

1 answer:

damaskus [11]2 years ago

3 0

Answer:

solution x -5

Interval\:Notation:(-\infty \:,\:-5]

Step-by-

did he math

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7. Write an equation for the line that is parallel to the given line and that passes through the given point.

Vlad1618 [11]

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = 1 /2 x − 8 .

y = 1 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 1 /2 x − 8 .

y = − 2 x − 29 PERPENDICULAR

8 0

2 years ago

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The

otez555 [7]

Answer:

empirical rule: 81.5%

table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

(100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

Calculator solution

A probability calculator for the Normal distribution tells you that ...

P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0

3 years ago

Can you use division to solve a missing factor problem

klasskru [66]

Yes, you can use division to solve a missing factor problem

5 0

3 years ago

When the outliers are removed, how does the mean change?

jok3333 [9.3K]

In statistics, an outlier is an observation point that is distant from other observations.

Given the points
15, 23, 24, 26, 27 and 35

Notice, that the points 15 and 35 are distance from the other points and hence are outliers.

The mean of the observations including the outliers is given by
$\frac{15+23+24+26+27+35}{6} = \frac{150}{6} =25$

The mean of the observations without the outliers is given by
$\frac{23+24+26+27}{4} = \frac{100}{4} =25$

Therefore, when the outliers are removed, the mean remains the same.

3 0

3 years ago

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An earthquake with a magnitude of about 2.0 or

stepan [7]

Answer: 100 times greater

Step-by-step explanation:

6 0

3 years ago

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