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34kurt
3 years ago
6

Solve for 2. - 6x + 2x = -4 6 4 1 -6

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
6 0
The answer is c) x=1
statuscvo [17]3 years ago
3 0
The answer is 1
-6x+2x=-4
First collect terms
-4x=-4
Divide both sides by -4
Which equals 1
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Yanka [14]

Answer:

13.65

Step-by-step explanation:

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3 years ago
Craig went out to a restaurant for dinner. He tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $
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$22.50

You can get this by dividing the new total by 116%, which is how much of the bill was paid. 
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4 years ago
In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos
Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

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 are 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

If n variables are added, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem:

n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

By the Central Limit Theorem

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

Z = \frac{2750 - 2560}{108}

Z = 1.76

Z = 1.76 has a pvalue of 0.961

1 - 0.961 = 0.039

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

7 0
3 years ago
Convert 69 3/4% to a fraction in lowest term
solmaris [256]

Answer:

69.75

69 3/4

Step-by-step explanation:

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3 years ago
Which graph shows a dilation?
dusya [7]
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