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Oduvanchick [21]
3 years ago
10

Everything I don't understand the process

Mathematics
1 answer:
MissTica3 years ago
6 0
Question 5.
The function given shows represents height after a certain time. The distance measures is initial distance till the distance covered when the time is calculated. The question has given us an initial distance of 100 feet and they want us to calculate the time when the egg hits the ground, or, in other words, 0 feet. So, next, we substitute this information in the equation.

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A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 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 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.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
3 years ago
Compare. Write &lt;, &gt;, or=.<br>11. V8 +3( ) 8+ V3​
Levart [38]

Answer:

=

Step-by-step explanation:

v8 + 3 = 8 + v3

-3 -3

________________

v8 = 5 + v3

-v3 -v3

___________

v5 = 5

8 0
3 years ago
What is the tangent of 0?
algol [13]

Answer: Tis 0

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Matthew uses this scale model of a design he plans to paint on a wall. He uses the key 1 cm = 2.5 ft. One gallon of paint will c
MatroZZZ [7]

Answer:

160

Step-by-step explanation:

400 / 2.5 = 160

160 x 1 = 160

3 0
2 years ago
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To make 5 blueberry pies, Mindy needs about 2 pounds of blueberries. How many pounds of blueberries does Mindy need to make 20 b
gavmur [86]

Answer:

8 pounds

Step-by-step explanation:

20/5=4

2*4=8

hope this helps :3

if it did pls mark brainliest

5 0
3 years ago
Read 2 more answers
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