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ad-work [718]
2 years ago
12

Which ordered pair is a solution to the system of equations?

Mathematics
1 answer:
enot [183]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • 2x - y = - 2
  • 15x - 2y = - 7

<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>

  • -2(2x - y) + 15x - 2y = - 2(- 2) - 7
  • -4x + 2y + 15x - 2y = 4 - 7
  • 11x = - 3
  • x = - 3/11

<u>Find the value of y:</u>

  • 2( - 3/11) - y = - 2
  • -6/11 - y = - 2
  • y = 2 - 6/11
  • y = 1/11

<u>Solution is:</u>

  • ( - 3/11, 1/11)
  • <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
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Which best describes the difference of 17,552 –14,564?
Alenkasestr [34]

Answer:

2988

Step-by-step explanation:

3 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard
DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand 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, the sample means with size n of at least 30 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 = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

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

By the Central Limit Theorem

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

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0
2 years ago
Hey I need help just leave answer thx
Illusion [34]

Answer:

x = 61

Step-by-step explanation:

The angle above the line n adjacent to 2x - 6 is (x + 3) alternate angle.

Adjacent angles are supplementary, thus

2x - 6 + x + 3 = 180, that is

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

4 0
2 years ago
8 meters increased by 25% is how many meters.
vampirchik [111]
Since 25% is 1/4 of 100%, then you do 8/4 and you get 2 and then you do 2 + 8 = 10.
7 0
3 years ago
Read 2 more answers
Find the zeros of the function.<br> f(x) = 3x2 – 8x – 16
Vlad1618 [11]

Answer:

amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4

Step-by-step explanation:

3x^2-8x-16 ------> (3x+4)(x-4)

3x+4=0 ----> 3x=-4 ----> x=-4/3

x-4=0 ----> x=4

5 0
3 years ago
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