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Monica [59]
3 years ago
8

Which number below is 9 a common factor of 16 and 20?

Mathematics
1 answer:
pentagon [3]3 years ago
7 0
SOLUTION:

Highest common factor of 16 and 20 which is also below 9 is 4.

HCF of 16 and 20 = 4

Hope this helps! :)
Have a lovely day! <3
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Part 1:\frac{5x^{3} + 10x^{2} + 15x}{5x} = \frac{5x^{3}}{5x} + \frac{10x^{2}}{5x} + \frac{15x}{5x} = x^{2} + 2x + 3
The answer is C.

Part 2:\frac{3x^{4} + 5x^{2} + 2x}{x} = \frac{3x^{4}}{x} + \frac{5x^{2}}{x} + \frac{2x}{x} = 3x^{3} + 5x + 2
The answer is A.
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The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagr
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Answer:

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Step-by-step explanation:

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A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.
hjlf

Answer:

a) x = \mu +z*\sigma

And replacing we got:

x= 2.98 + 1.71*0.36 = 3.5956

b) x = \mu +z*\sigma

And replacing we got:

x= 21.6 + 1.18*7.1 = 29.978

c) x = \mu -z*\sigma

And replacing we got:

x= 150 - 1.35*40= 96

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

z=\frac{x-\mu}{\sigma}

And for this case we know that z = 1.71, \mu = 2.98,\sigma = 0.36

If we solve for x from the z score formula we got:

x = \mu +z*\sigma

And replacing we got:

x= 2.98 + 1.71*0.36 = 3.5956

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

z=\frac{x-\mu}{\sigma}

And for this case we know that z = 1.18, \mu = 21.6,\sigma = 7.1

If we solve for x from the z score formula we got:

x = \mu +z*\sigma

And replacing we got:

x= 21.6 + 1.18*7.1 = 29.978

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

z=\frac{x-\mu}{\sigma}

And for this case we know that z = -1.35, \mu = 150,\sigma = 40

If we solve for x from the z score formula we got:

x = \mu -z*\sigma

And replacing we got:

x= 150 - 1.35*40= 96

5 0
3 years ago
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