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Varvara68 [4.7K]
3 years ago
12

(use proportion) 60 is 20% of what number? (this might be realy easy but i cant think right now)

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0

Answer:

300.


Step-by-step explanation:


Serga [27]3 years ago
6 0
The answer to ur problem is 300.because 60 multiply by 100 is 6000.so 6000 divided by 12is 300.
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A cylinder has a diameter of 10 units. Its radius is ____ units. Of its height is _______ twice its radius, its height is units.
SpyIntel [72]

Answer:

Height is 10 units

Volume is 785 cubic units

Step-by-step explanation:

We are given;

Diameter of a cylinder as 10 units

But, radius = d/2

                  = 5 units

Height is twice its radius,

Thus, Height = 10 units

We can get the volume;

Volume of a cylinder = pir²H

Taking pi to be 3.14

Then;

Volume = 3.14 × 5²× 10

              = 785 cubic units

Thus, the volume of the cylinder is about 785 cubic units

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Determine how fast you are driving if it takes you 50 seconds to drive from one mile marker to the next.​
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You are driving 72 miles per hour
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Step-by-step explanation:

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6 0
3 years ago
Ginger has 12 plastic bead containers. The containers measure 1 inch on each side. How many rectangular prisms, each with a diff
denis23 [38]
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1 2 6 ---> 1 2 6, 1 6, 2, 2 6 1 --- 3 of them
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3 years ago
A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation
natulia [17]

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

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 18 mL and standard deviation 0.6 mL.

This means that \mu = 18, \sigma = 0.6

a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?

This is the p-value of Z when X = 17.5. So

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

Z = \frac{17.5 - 18}{0.6}

Z = -0.83

Z = -0.83 has a p-value of 0.2033

0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.

b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Twelve bottles, so now n = 12, s = \frac{0.6}{\sqrt{12}}

The probability is:

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

By the Central Limit Theorem

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

Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}

Z = -2.89

Z = -2.89 has a p-value of 0.0019

0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

4 0
3 years ago
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