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zmey [24]
3 years ago
5

Which of the inequalities represents the statement "the absolute value of the difference of x and y is greater than 5"?

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

Step-by-step explanation:

The absolute value of the difference of x and y is represented by subtracting y from x and taking the absolute value of the entire expression; the correct answer is |x - y| > 5.

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What is the greatest common factor (gcf) for 26 and 78?<br>6<br><br>13<br><br>26 <br><br>3<br><br>2
saul85 [17]

For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:

26: 1,2,13,26

78: 1,2,3,6,13,26

Thus, the GCF of both numbers is 26

Answer:

26

Option C

8 0
3 years ago
(7x – 8) + (3X + 8) = 180 x=
GenaCL600 [577]

Step-by-step explanation:

I have answered ur question

3 0
3 years ago
Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82
blagie [28]

The mean height of the basketball players is 80.3 inches

For given question,

we have been given the list of heights, in inches, for a sample of college basketball players.

We need to find the mean height of the basketball players.

We know that, for given sample of data

mean = sum of all observations ÷ total number of observation

First we find the sum of given heights.

78 + 83 + 82 + 78 + 78 + 80+ 81 +79+ 79 +83+ 77 +78+ 84+ 82+ 80+ 80 +82+ 84+78+ 80 = 1606

Total number of observations = 20

Using the formula of mean,

⇒ mean height = 1606/20

⇒ mean height = 80.3 inches

Therefore, the mean height of the basketball players is 80.3 inches

Learn more about the mean here:

brainly.com/question/6813742

#SPJ4

3 0
1 year ago
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr
bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that \mu = 109, \sigma = 12

Sample of 25.

This means that n = 25, s = \frac{12}{\sqrt{25}} = 2.4

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

Z = \frac{112 - 109}{2.4}

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0
3 years ago
What would a monthly payment be on a purchase of a $11,000 car at 5.9% for 4 years?
Oxana [17]

Answer:

   A)  $257.83

Step-by-step explanation:

A spreadsheet or financial calculator will tell you the monthly payment on $11,000 at 5.9% annual rate for 4 years is ...

  $257.83

4 0
3 years ago
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