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Dmitriy789 [7]
3 years ago
9

During which interval was the bicyclists speed the greatest?

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

The first our to the second hour

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The mean per capita income is 16,127 dollars per annum with a variance of 682,276. What is the probability that the sample mean
MakcuM [25]

Answer:

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Step-by-step explanation:

To solve this question, we have 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 can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The standard deviation is the square root of the variance. So

\mu = 16127, \sigma = \sqrt{682276} = 826, n = 476, s = \frac{826}{\sqrt{476}} = 37.86

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Either it differs by 104 or less dollars, or it differs by more than 104 dollars. The sum of the probabilities of these events is 100. I am going to find the probability that it differs by 104 or less dollars first.

Probability that it differs by 104 or less dollars first.

pvalue of Z when X = 16127 + 104 = 16231 subtracted by the pvalue of Z when X = 16127 - 104 = 16023. So

X = 16231

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

By the Central Limit Theorem

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

Z = \frac{16231 - 16127}{37.86}

Z = 2.75

Z = 2.75 has a pvalue of 0.9970

X = 16023

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

Z = \frac{16023 - 16127}{37.86}

Z = -2.75

Z = -2.75 has a pvalue of 0.0030

0.9970 - 0.0030 = 0.9940

99.40% probability that it differs by 104 or less.

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

p + 99.40 = 100

p = 0.60

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

7 0
3 years ago
For what values ​​does c have no solutions?
defon

Solve for c :

x⁴ + cx² + 100 = 0

cx² = -(x⁴ + 100)

c = - (x⁴ + 100)/x²

If x = 0, the right side is undefined and c would have no solution.

3 0
2 years ago
How do you solve 6 x + 5 x − 25 = − 5 x − 28
Travka [436]

Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

16x - 25 = -5x + 5x - 28

16x - 25 = -28

Add 25 to both sides.

16x - 25 + 25 = -28 + 25

16x = -3

Divide both sides by 16

16/16 = 1

-3/16

x = -3/16

3 0
3 years ago
2x+9=3(4x-7) help show work
ivann1987 [24]

Answer:

2x+9=12x-21

-2.      -2

9=10x -21

+21           +21

30=10x

Divide by 10 on both sides

30/10

x=3

Step-by-step explanation:

3 0
3 years ago
The owner of a home cleaning company provides her customers with?
BartSMP [9]

Answer:

Step-by-step explanation:

services

6 0
3 years ago
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