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Tresset [83]
3 years ago
10

Compute the permutation.

Mathematics
1 answer:
Kipish [7]3 years ago
6 0
We have two slots A and B
Slot A has 4 choices (2,4,5,8)
Once we make a choice, we can't reuse it. So we have 3 choices left for slot B

Multiply out the values mentioned above to get: 4*3 = 12

Alternatively you can use the nPr formula to get
n P r = (n!)/(n-r)!
4 P 2 = (4!)/(4-2)!
4 P 2 = (4!)/(2!)
4 P 2 = (4*3*2*1)/(2*1)
4 P 2 = 24/2
4 P 2 = 12
yielding the same answer

So no matter which method you use, the final answer is 12

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Which of the is not an example of property tax?
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C

Step-by-step explanation:

Furniture is not counted as property that can be taxed.

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Which expression represents the prime factorization of 108?
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The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.
Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

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3 years ago
If angle 1 = angle 2 and angle 2 = angle 4, what property allows you to state that angle 1 = angle 4
Gnesinka [82]

Answer:

Transitive Property

Step-by-step explanation:

You can use it for example: a = b. b = c. So a = c (Transitive Property).

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