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olga_2 [115]
3 years ago
12

ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND BE FRIEND REQUESTED

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer: The answer is D: y=2/5x

Step-by-step explanation:

Let <em>y </em>represent the number of laps George runs, and <em>x</em> the number of minutes it takes him to run those laps. We know that it it takes George 25 minutes to run 10 laps; therefore, the number of laps George runs per minute is 10/25 which is equal to 2/5.

 

(Make sure you keep your promise(s) lol.)

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Let a and b be any two integers. Show that the following statement is false: If 3|(a+b),then 3|(a−b).Hint. To show that the stat
Phoenix [80]

Answer with Step-by-step explanation:

Let a and b are two integers.

We have to show that

if 3\a+b then 3\a-b is false.

In order to prove that given statement is false we prove this with the help of example

Suppose we have two integers a=2 and b=4

if 3\2+4

3\6=2

2-4=-2

But 3 does not divide -2.

Therefore, the given statement is false.

Hence, proved.

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3 years ago
Stephanie's graduation picnic costs $7 for every attendee. Write an equation that shows the relationship between the attendees,
Serjik [45]
Are you studied on his work
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3 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 establishes 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 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
3 years ago
Solve 4x-2y=12 for y <br> Ayo help
Leni [432]

Answer:

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Step-by-step explanation:

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y = - 6 + 2x

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