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Romashka [77]
3 years ago
8

Determine the constant of variation for the direct variation given.

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form y=kx, where,

k = Constant of variation.

Upon substituting our given values, we will get:

R=k*S

80=k*16

\frac{80}{16}=\frac{k*16}{16}

5=k

Therefore, the constant of variation is 5 and option B is the correct choice.

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QUESTION 2
aev [14]

The margin of error for a 95% confidence interval is 0.93.

mean (μ) = 23.4, standard deviation (σ) = 7.6, sample (n) = 254, confidence = 95% = 0.95

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α/2 = 0.05/2 = 0.025

The z score of α/2 is equal to the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given by:

E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{7.6}{\sqrt{254} } \\\\E=0.93

The margin of error for a 95% confidence interval is 0.93.

Find out more at: brainly.com/question/10501147

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