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2 years ago

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Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

Step-by-step explanation:

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4 years ago

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Simplify 5x + 2(x - 3) = -2(x - 1)

Kruka [31]

Answer:

x=8/9

Step-by-step explanation:

5x+2(x-3)=-2(x-1)

1) Distribute 2 to x and -3:

5x+2x-6=-2(x-1)

2) Distribute -2 to x and -1:

5x+2x-6=-2x+2

3) Combine alike terms:

7x-6=-2x+2

4) Add 2x to both sides:

9x-6=2

5) Add 6 to both sides:

9x=8

6) Divide both sides by 9:

x=8/9

8 0

4 years ago

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A family read the odometer before starting a trip .It read 22900.6 and they know they will be driving 302.5 miles . What's will

AlexFokin [52]

Answer:

23,203.1

Step-by-step explanation:

Generally, an odometer measures distance traveled during the usage life cycle of a car. It is necessary to say the distance is measured cumulatively.

Now, to get the value the odometer will be reading after the trip, we need to add the present reading of the odometer to the new distance to be traveled.

Thus, the reading of the odometer after the trip will be 22900.6 + 302.5 = 23,203.1

7 0

3 years ago

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells.

Sergio039 [100]

Answer:

This mileage interval is from 30120 miles and higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. This means that $\mu = 25000, \sigma = 4000$ .

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells. What interval wouldyou suggest?

The lower end of this interval is X when Z has a pvalue of 0.90. That is $Z = 1.28$ .