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Gnesinka [82]
4 years ago
13

A set of ordered pairs is listed:

Mathematics
1 answer:
Dimas [21]4 years ago
8 0

Answer:

A) (4, 8)

General Formulas and Concepts:

<u>Algebra I</u>

  • Functions
  • Vertical Line Test - The function must have only one y-value per x-value

Step-by-step explanation:

<u>Step 1: Define</u>

Relation {(4, -5), (-3, -2), (5, -2), (1, 7), (4, 8)}

<u>Step 2: Identify</u>

When we apply the Vertical Line Test, we see that we have an error at x = 4. Therefore, this relation is not yet a function.

We can see that if we remove either (4, -5) or (4, 8), the relation would then pass the Vertical Line Test and become a function.

Therefore, our answer is A) (4, 8)

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Help please ..............​
vlada-n [284]

Answer:

6x is indeed the Greatest Common Factor.

Step-by-step explanation:

6x[3 - y² + 2y⁶]

5 0
3 years ago
What is the absolute value of 300-48t
AleksandrR [38]
The absoulte vaue of 300-48t is 30=29=-4
7 0
4 years ago
There are 50 students in a calculus class. The amount of time needed for the instructor to grade a randomly chosen midterm exam
natta225 [31]

Answer:

14.46% probability that the instructor can finish grading in 4 and a half hours

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.

For sums of n values from a distribution, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem, we have that:

\mu = 6*50 = 300, s = \sqrt{50}*4 = 28.2843

What is the probability that the instructor can finish grading in 4 and a half hours

Four and half hours is 4.5*60 = 270.

So this probability is the pvalue of Z when X = 270.

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

By the Central Limit Theorem

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

Z = \frac{270 - 300}{28.2843}

Z = -1.06

Z = -1.06 has a pvalue of 0.1446

14.46% probability that the instructor can finish grading in 4 and a half hours

8 0
3 years ago
Find the median of each set of data.<br> 6, 3, 5, 11, 2, 9, 5, 0
katovenus [111]

Answer:

5

Step-by-step explanation:

0, 2, 3, 5, 5, 6, 9, 11---The middle number is 5

4 0
3 years ago
What is 43.78 in word form
34kurt
Forty three. seven eight
6 0
3 years ago
Read 2 more answers
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