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Arisa [49]
3 years ago
6

Find the value of x

Mathematics
1 answer:
klio [65]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

7x-1+2x-1=7

7x+2x-1-1=7

9x-2=7

9x=7+2

9x=9

9x/9=9/9

x=1

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AABC is reflected across the x-axis. What is the new location of point B? A (-4, -2) C (4, -2) B (-4,2) D (4,2)​
Molodets [167]

Answer:

D (4,2)

Step-by-step explanation:

you just change the y value to the opposite sign hehe

7 0
2 years ago
Derrick earned $1472during the 4 weeks he had his summer job.if he earned the same amount each week,how much did he earn each we
valkas [14]
You take $1472 and divide it by 4 

$1472 divided by 4 = $368 per week or $52.57 a day 
hope this helps!!
8 0
3 years ago
A container has 27/8 pounds of flour.
liq [111]

Answer:

18 people are in his class.

Step-by-step explanation:

27/8 / 3/16

27/8*16/3

3 0
3 years ago
You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that
tensa zangetsu [6.8K]

Answer:

You can arrange the books 3,628,800 different ways.

Step-by-step explanation:

You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.

Going left-to-right, the first slot has 10 available books.

Total combinations: 10

The 2nd slot has 9 available books.

Total combinations: 10 * 9

The 3rd slot has 8 available books.

Total combinations: 10 * 9 * 8

This continues for all 10 slots.

Eventually, for slot 10, there is only 1 book possible.

Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"

Thus, the total number of combinations is:

10! = 10*9*8*7*6*5*4*3*2*1 = 3628800

Answer: You can arrange the books 3,628,800 different ways.

8 0
3 years ago
One tire manufacturer claims that his tires last an average of 42,000 miles with a standard deviation of 7800 miles. A random sa
snow_lady [41]

Answer:

89.97% probability that the average of these 100 tires will last greater than 41,000 miles.

Step-by-step explanation:

The solve this problem, it is important to know the Normal Probability distribution and the Central Limit Theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 42000, \sigma = 7800, n = 100, s = \frac{7800}{\sqrt{100}} = 780

What is the probability that the average of these 100 tires will last greater than 41,000 miles?

This is 1 subtracted by the pvalue of Z when X = 41000.

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

By the Central Limit Theorem, we use s instead of \sigma.

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

Z = \frac{41000 - 42000}{780}

Z = -1.28

Z = -1.28 has a pvalue of 0.1003.

So there is a 1-0.1003 = 0.8997 = 89.97% probability that the average of these 100 tires will last greater than 41,000 miles.

6 0
3 years ago
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