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Orlov [11]
3 years ago
13

Is Jeff correct or incorrect?

Mathematics
1 answer:
bulgar [2K]3 years ago
4 0
Jeff is correct because:

2 sides of a triangle must always be longer than the other side, so:

12+8>19
19+8>12
12+19>8

Since all of them are true, Jeff is correct
You might be interested in
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.

8 0
3 years ago
A car drives 60 miles per hour. Write and solve an equation to find the number of hours it takes the
olga_2 [115]

<em>Answer:840 hours</em>

<em>Step-by-step explanation:You have to Add to get your answer.This is how I got 840:</em>

60+60=120

120+720=840

Your answer is:840 hours

hope this was helpful :)

4 0
3 years ago
What is the solution set of the equation x ^ 2 - 3x - 10 = 0 ? pls show work
Yanka [14]

Answer:

Factors :- (x - 5) (x + 2)

Values :- x = 5, x = -2

Step-by-step explanation:

= > x^2 - 3x - 10 = 0

= > x^2 - (5 - 2)x - 10 = 0

= > x^2 - 5x + 2x - 10 = 0

= > x (x - 5) + 2 (x - 5) = 0

= > (x + 2) ( x - 5) = 0...factors

= > x = 5, - 2...values

<h2>Hope it helps you!! </h2>
7 0
3 years ago
Please help just tell if the answers are reasonable or not DONT find the real correct answer.
enot [183]

Answer:

annna

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please help me!! im so close to finshing
gtnhenbr [62]

Answer:

do you want me to answer this too

Step-by-step explanation:

???

8 0
2 years ago
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