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mel-nik [20]
2 years ago
11

What is the mode, median, maximum, and range in math?.

Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

In explanation

Step-by-step explanation

Ok for me to tell you I'm going to give an example.

Data set=

40,50,60,30,105,19,40

For this data set our mode would be 40 because mode is the number that appears most in a data set and as you can see 40 appears twice while every other number only appears once.

For median=would also be 40.

Because median is the number that is in the middle when you sort them least to greatest so 40 is in the middle when you put them in least to greatest.

The maximum is 105

Because the maximum is the highest number in the data set so 105 is the biggest number.

Range is 86.

For range is the highest number subtracting the lowest number and highest number is 105 and lowest number is 19 so 105 - 19=86

Hope this helps have a great day:)

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A manufacturer makes chocolate squares that have a target weight of 8 g. Quality control engineers sample 30 chocolate squares t
posledela

Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is \mu = 8.5.
  • The standard deviation is \sigma = 0.87.
  • A sample of 30 is taken, hence n = 30, s = \frac{0.87}{\sqrt{30}} = 0.1588.

The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:

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

By the Central Limit Theorem:

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

Z = \frac{8 - 8.5}{0.1588}

Z = -3.15

Z = -3.15 has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

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3 years ago
Explain which situation will give you the best price: a discount of 15% and then 10% off that amount, a discount of 10% and then
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Answer:

Step-by-step explanation:

Let X be the initial price and P be the final price.

#Given a discount of 15% then 10% of that amount:

P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 10% then 15% of that amount:

P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 25%

P_1=(1-d)X\\\\=(1-0.25)X\\\\=0.75X

Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.

7 0
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The volume of the given figure is __ ft3
nevsk [136]

Answer:

I believe the answer is 20

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Part
olchik [2.2K]

Answer:

900 cubic inches.

Step-by-step explanation:

<u>Given the following data;</u>

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

V = \frac {1}{3} \pi r^{2}h

Where;

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The volume of a right circular cylinder is given by the formula;

V = \pi r^{2}h

<em>Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder. </em>

V = \frac {1}{3} \pi r^{2}h * 3  

Substituting into the equation, we have;

V = 300 * 3

V = 900in³

<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches. </em>

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