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3 years ago

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: 2 x 2 x 2 x 2

40 is: 2 x 2 x 2 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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A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

bearhunter [10]

Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

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3 years ago

Simone invests $2,000 in an account that compounds interest quarterly and earns 9%. How many years will it take for his money to

Anuta_ua [19.1K]

no te puedo contestarte yo no hablo inglés

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2 years ago

Enter the unknown number for the following 483 divided by __ = 21

Mice21 [21]

483 divided by 23 = 21

6 0

2 years ago

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Llana [10]

The answer should be (0, 0).
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3 years ago

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Which statement BEST explains the relationship between lines GF & HJ?

Pavel [41]

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Since, blue line is passing through two points (-4, -2) and (0, 4),

Slope of the blue line = $\frac{4+2}{0+4}$

= $\frac{3}{2}$

Similarly, green line is passing through two points (-4, 1) and (0, -2),

Slope of the green line = $\frac{1+2}{-4-0}$

= $-\frac{3}{4}$

Since, $\frac{3}{2}\neq -\frac{3}{4}$

Neither these slopes are opposite reciprocals.

Therefore, both the lines are neither parallel nor perpendicular.

Option (4) will be the correct option.

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2 years ago