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nikklg [1K]
3 years ago
5

Which expression represents the greatest common factor (GCF) of 16 and 40? A. 2 x 2 B. 2 x 2 x 3 C. 2 x 2 x 5 D. 2 x 2 x 2

Mathematics
2 answers:
vesna_86 [32]3 years ago
5 0

Answer:

D. 2 x 2 x 2

Step-by-step explanation:

16 is: <u>2 x 2 x 2</u> x 2

40 is: <u>2 x 2 x 2 </u>x 5

16 and 40 have in common are: 2 x 2 x 2  

astraxan [27]3 years ago
4 0

Answer:

D. 2 x 2 x 2

Step-by-step explanation:

I took the quiz, and it was correct. :)

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If a is equal to 2 + root 3 upon 2 minus root 3 and b is equal to 2 minus root 3 upon 2 + root 3 then what is the value of a squ
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<em>1</em><em>9</em><em>5</em>

Step-by-step explanation:

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8 0
2 years ago
The angle measurement in the diagram are represented by the following expressions.
8_murik_8 [283]

Answer:

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

5 0
3 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
HELP! Area of a Trapezoid! 40 points!
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The 45-45-90 triangle theorem states that each leg equals x, and the hypotenuse equals x \sqrt{2}. Using this, we can find that the height is 10. Take the average of the lengths to get l = 27. 

The area = 270. 
7 0
3 years ago
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