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3 years ago

Apply the distributive property to write an equivalent expression.

Mathematics

1 answer:

aleksley [76]3 years ago

7 0

Answer:

6x + 48

Step-by-step explanation:

multiply each term inside the () by 6

6x + 6*8

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5k race surveyed runners about their finishing times (f) and the number of previous races they had run (n). The organizers found

vichka [17]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE, PLEASE.
The first thing we must do for this case is to define variables.
n = number of 5k races covered
f = end time.
We have the following equation:
f = -1.2n + 38.1
We note that the slope of the line is:
m = -1.2 minutes per race
Therefore, the time decreases 1.2 minutes when the number of races increases n.
Answer:
The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes

3 0

3 years ago

It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi

Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that $\mu = 35000, \sigma = 7000$

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

$-1.88 = \frac{X - 35000}{7000}$

$X - 35000 = -1.88*7000$

$X = 21840$

The designed life should be of 21,840 vehicle miles.

3 0

2 years ago

Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.

Novosadov [1.4K]

Answer:

I = (2,000) (0.08) (6)

I = (160) (6)

Steve pays $960 in interest

Step-by-step explanation:

I completed the quiz :)

4 0

2 years ago

This year, Arvin and Mariah were in charge of making orange juice for campers. They planned to make the juice by mixing water an

zavuch27 [327]

Answer:

Mix A is the most orangey, Mix C is the least orangey

Step-by-step explanation:

Mix A largest proportion of concentrate to water

Mix C is the smallest proportion of concentrate to water

8 0

3 years ago

What the fact family for 4,6,10 I got b 10-6=4 10-4=6 4+6=10 6+4=10 what your answer

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

These numbers form an addition and subtraction, fact family.

4, 6, 10

Choose the fact family formed by these numbers.

10 – 6 = 4

4 + 6 = 10

10 – 6 = 4

10 – 4 = 6

4 + 6 = 10

6 + 4 = 10

4 + 6 = 10

10 – 6 = 4

6 + 4 = 10

10 – 4 = 6

4 0

2 years ago