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lukranit [14]
3 years ago
14

SOMEBODY PLZ HELP ME. I NEED THIS SO BAD OR IM GOING TO FAIL. SOMEBODY PLZ. ANYBODY I KNOW SOMEBODY CAN HELP ME.

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Step-by-step explanation:

    Data values:

  • 50- 1
  • 57- 2
  • 60- 4
  • 65- 3
  • 72- 3
  • 75- 12
  • 77- 10
  • 81- 6
  • 83- 6
  • 88- 9
  • 90- 12
  • 92- 12
  • 95- 2
  • 99- 4
  • 100- 5?

Question 1: What is the mean? The standard deviation?

The mean = the average = all of the data values added together and then divided by the number of data values.

The standard deviation= the average of the squared differences from the mean.

To find standard deviation:

  1. Find the mean
  2. For each data value (number), subtract the mean and square the difference (result)

          <u>Ex:</u> You have 5 data values, 600, 470, 170, 430, and 300.

                 The mean of these data values is \frac{600+470+170+430+300}{5}

                 

  1. Then work out the average of those squared differences.

Mean calculations: All of the data values added together= 50+57+57+60+60+60+60+65+65+65+72+72+72+75+75+75+75+75+75+75+75+75+75+75+75+77+77+77+77+77+77+77+77+77+77+81+81+81+81+81+81+83+83+83+83+83+83+88+88+88+88+88+88+88+88+88+90+90+90+90+90+90+90+90+90+90+90+90+92+92+92+92+92+92+92+92+92+92+92+92+95+95+99+99+99+99+100+100+100+100+100=7531

Number of data values: 91

7531/91= 82.75824175 = 82.8

The mean is 82.8.

Standard deviation:

11.34347 (sample)

11.28097 (population)

Let's go with population because this appears to be all of the grades.

11.28097 is the standard deviation (population).

Part 2: Explain how to find the standard deviation.

1. Find the mean.

2. For each data value (number), subtract the mean and square the difference (result)

3. Find the mean of those differences.

Part 3: The data values are very spread out.

Hope this helps!

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7 0
3 years ago
Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of
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Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that A(24) = (1-0.26)A(0) = 0.74A(0); We use this to find r.

A(t) = A(0)(1-r)^t

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This means that A(0) = 810

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

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A(t) = A(0)(1-r)^t

A(t) = 810(1 - 0.26)^t

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The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

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