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umka21 [38]
2 years ago
15

{50 PTS (100 Total) Each answer} Can someone please help me? I need to get it submitted soon.

Mathematics
1 answer:
den301095 [7]2 years ago
4 0

Answer:

y>3x-1

Step-by-step explanation:

To write the inequality represented by the graph, let's first determine the equation of the line.

So, we can see that the line passes through the two points (0,-1) and (1,2).

With this, let's figure out the slope. The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

Let's let (0,-1) be (x₁ y₁) and let's let (1,2) be (x₂, y₂). So:

m=\frac{2-(-1)}{1-0}

Evaluate:

m=3/1=3

Therefore, the slope is 3.

We also know that the y-intercept is y=-1 from the point (0,-1).

So, we can use the slope-intercept form:

y=mx+b

Where m is the slope and b is the y-intercept.

Substitute 3 for m and -1 for b. So:

y=3x-1

Notice that the line is dotted. This means that we will <em>not</em> have "or equal to" for our inequality.

Now, note that the shaded region is <em>above</em> our line. Therefore, y must be <em>greater than</em> our equation. Therefore, our inequality would be:

y>3x-1

And we're done!

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The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size, 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 = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

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

By the Central Limit Theorem

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

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

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Answer: 212 7/20

Step-by-step explanation: We know that 212 is the whole number. So we need to convert .35 into a fraction in simplest form. Any decimal that has a hundredths place will be divided by 100 to get the fraction. In this case that fraction would be 35/100. And to convert that into simplest form, you need to find the least (or lowest) common denominator which is 5. Then you divide the numerator and denominator by 5 and get 7/20, so your answer is 212 7/20

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:


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