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Mumz [18]
3 years ago
12

When do you carry the high number in vertical multiplication

Mathematics
1 answer:
tangare [24]3 years ago
3 0
When it is greater than 9.

Example


15
x 5
——-

5x5 is 25, so you would leave 5 and carry the 2

2
15
x. 5
——-
5



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Jumbo eggs in Australia, on average, are supposed to weigh 68g. Margot is in charge of a quality control test that involves weig
Andrej [43]

Answer:

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

Step-by-step explanation:

To solve this question, we use 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 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.

Mean weight of 67g and a sample standard deviation of 1g.

This means that \mu = 67, \sigma = 1

Sample of 4

This means that n = 4, s = \frac{1}{\sqrt{4}} = 0.5

What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?

This is the pvalue of Z when X = 68.5. So

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

By the Central Limit Theorem

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

Z = \frac{68.5 - 67}{0.5}

Z = 3

Z = 3 has a pvalue of 0.9987

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

6 0
3 years ago
Read 2 more answers
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder h
vivado [14]

Given:

A prism has a base area of 20\pi square units and a volume of 120\pi cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

V=\pi r^2h

V=Bh

Where, r is the radius, h is the height of the cylinder and B=\pi r^2 is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is 120\pi cubic units.

3 0
3 years ago
Help me plz with these problems
Shtirlitz [24]
19. (X+5)-3
20. 2a
21.3b
22. 5y-5
23. 1/2n-15
7 0
3 years ago
Read 2 more answers
Suppose your current electricity meter reading is 25,789 kWh, and the reading on your last bill was 25,350 kWh. If you are charg
Brrunno [24]

The amount of bill is $43.15

Step-by-step explanation:

Given,

Current meter reading = 25,789 kWh

Reading on last bill = 25,350 kWh

Reading for the month = Current meter reading - Last month bill reading

Reading for the month = 25789 - 25350 = 439kWh

Cost per kWh = $0.0983

Cost of 439 kWh = 0.0983*439 = $43.1537

Rounding off to nearest hundredth

Cost of 439 kWh = $43.15

The amount of bill is $43.15

Keywords: subtraction, multiplication

Learn more about subtraction at:

  • brainly.com/question/11175936
  • brainly.com/question/11203617

#LearnwithBrainly

8 0
3 years ago
Write an algebraic expression for a C -5
Ivenika [448]
The answer is... Five less than C
4 0
3 years ago
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