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Musya8 [376]
2 years ago
9

Can anyone explain how to do this?

Chemistry
1 answer:
Roman55 [17]2 years ago
3 0

Answer:

hello u need help? 9i0

Explanation:

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The average score for games played in the NFL is 21.1 and the standard deviation is 8.9 points. 46 games are randomly selected.
kaheart [24]

Answer:

A) P(21.4317 < ¯x < 22.7561) = 0.2975

B) Q1 for the ¯x distribution = 21.9844

Explanation:

The Central Limit theorem allows us to say that

Sample mean = Population mean = 21.1 points

Mean of sampling distribution = σₓ = (σ/√n)

σ = population standard deviation = 8.9 points

n = sample size = 46

σₓ = (8.9/√46) = 1.3122334098 = 1.3122

A) P(21.4317 < ¯x < 22.7561) =

This is a normal distribution problem

To find this probability, we will use the normal probability tables

We first normalize/standardize 21.4317 and 22.7561.

The standardized score of any value is that value minus the mean divided by the standard deviation.

For 21.4317

z = (x - μ)/σ = (21.4317 - 21.1)/1.3122 = 0.25

For 22.7561

z = (x - μ)/σ = (22.7561 - 21.1)/1.3122 = 1.26

The required probability

P(21.4317 < ¯x < 22.7561) = P(0.25 < z < 1.26)

Checking the tables

P(21.4317 < ¯x < 22.7561) = P(0.25 < z < 1.26)

= P(z < 1.26) - P(z < 0.25)

= 0.89617 - 0.59871

= 0.29746 = 0.2975 to 4 d.p.

B) Q1 for the distribution is the first quartile. The first quartile is greater than 25% of the distribution.

P(x > Q1) = 0.25

Let the z-score that corresponds to Q1 be z'

P(x > Q1) = P(z > z') = 0.25

But P(z > z') = 1 - P(z ≤ z') = 0.25

P(z ≤ z') = 1 - 0.25 = 0.75

From the normal distribution tables,

z' = 0.674

z' = (Q1 - μ)/σ

0.674 = (Q1 - 21.1)/1.3122

Q1 = 0.674×1.3122 + 21.1 = 21.9844228 = 21.9844 to 4 d.p.

Hope this Helps!!!

7 0
3 years ago
How does distillation separate a solvent from a solute?
lord [1]

Answer:

Distillable mixtures may contain a solid in a liquid. This method takes advantage of the boiling point of the substances.

In this way, for the distillation to take place correctly, the mixture must be boiled until the boiling point of the solvent is reached, which will then become steam and can be led to a cooled container, in which it will condense and recover its liquidity.  On the other hand the solute will remain in the container without alterations; having in both cases pure substances, free of the initial mixture.

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How is hemoglobin's affinity for oxygen affected by the presence or absence of oxygen? rank hemoglobin molecules with the descri
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In order from the most likely to bind an oxygen to least likely;
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3 years ago
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A geologist working in a national park finds a mineral. He is carrying a kit that contains a penny, a hand lens, a piece of tile
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A penny for the scratch test (low hardness)a hand lens for inspection a peice of tile for a streak test a geologic hammer to test for cleavage of fracture and the pocket knife for the scratch test (high hardness)
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what was the lab?

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