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Veseljchak [2.6K]
3 years ago
9

Natalie counted the number of birds she saw each day for 20 days, and she recorded her data in the table. Which scatterplot corr

ectly displays Natalie’s data?
Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

I would answer this question, however there is no picture in order for me to tell.

Step-by-step explanation:

:(

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The scores on the GMAT entrance exam at an MBA program in the Central Valley of California are normally distributed with a mean
Kaylis [27]

Answer:

58.32% probability that a randomly selected application will report a GMAT score of less than 600

93.51%  probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

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 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 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.

In this problem, we have that:

\mu = 591, \sigma = 42

What is the probability that a randomly selected application will report a GMAT score of less than 600?

This is the pvalue of Z when X = 600. So

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

Z = \frac{600 - 591}{42}

Z = 0.21

Z = 0.21 has a pvalue of 0.5832

58.32% probability that a randomly selected application will report a GMAT score of less than 600

What is the probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600?

Now we have n = 50, s = \frac{42}{\sqrt{50}} = 5.94

This is the pvalue of Z when X = 600. So

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

Z = \frac{600 - 591}{5.94}

Z = 1.515

Z = 1.515 has a pvalue of 0.9351

93.51%  probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

What is the probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600?

Now we have n = 50, s = \frac{42}{\sqrt{100}} = 4.2

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

Z = \frac{600 - 591}{4.2}

Z = 2.14

Z = 2.14 has a pvalue of 0.9838

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

8 0
3 years ago
Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).
igomit [66]

Let point A be (2, -6) and point B (-1, -8)

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-6)}{-1 - 2} = \frac{-8 + 6}{-1 -2} = \frac{-2}{-3} = \frac{2}{3}

Use the point-slope formula and whichever point you want as , in this case I'll use

y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}

8 0
3 years ago
Name the marked angle in 2 different ways.
ch4aika [34]
Angle KIH and angle HIK
3 0
3 years ago
Read 2 more answers
mrs. marks have 2/3 pound of cheese. she has 1/15 pound on each sandwich. how many sandwiches can she make with the cheese she h
Tema [17]

Answer:

10

Step-by-step explanation:

2/3 can be multiplied by 5 to equal 15ths since we can know 15 (seconds number fraction) is 5 times the originals (first numbers fractions)

This equals to 10/15 and means that with 1/15th on each 10 sandwiches can be made.

The answer gives it straight forward but explanation gets in depth

Edit: I saw your answer and yes it equals 10 but you multiply what it is a fraction of too.

2/3

x5

10/15

Hope that helps some more

3 0
2 years ago
How many miles per hour can lorenzo ride his bike
Degger [83]
The answer is around 10.22 mph
5 0
3 years ago
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