3 years ago

(8.02) The coordinate grid shows the plot of four equations.

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

B and C

Step-by-step explanation:

As per graph the lines B and C intersect at point (2, 2) so it the solution of system with those lines

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16x^2 -1 = 0
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Oliver traveled 124.25 miles in 3.5 hours at a constant speed. What is the constant of proportionality in miles per hour?

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Answer:

Simple!

All you have to do is divide 3.5 by 124.25

124.25 / 3.5 = 35.5

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3 years ago

Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample

DedPeter [7]

Answer:

$P(x > 0.28) = 1$

Step-by-step explanation:

Given

$p = 33\%$ --- orders from first time customer

$n =163$ --- samples

Required

$P(x >0.28)$

First, calculate the mean

$\bar x = np$

$\bar x = 163 * 33\%$

$\bar x = 53.79$

Next, the standard deviation

$\sigma = \sqrt{\bar x * (1 - p)$

$\sigma = \sqrt{53.79* (1 - 33\%)$

$\sigma = \sqrt{53.79* (1 - 0.33)$

$\sigma = \sqrt{53.79* 0.67$

$\sigma = 6.00$

For $P(x >0.28)$ ,

The z score is:

$z = \frac{x - \bar x}{\sigma}$

$z = \frac{0.28 - 53.79}{6}$

$z = \frac{-53.51}{6}$

$z = -8.92$

So:

$P(x > 0.28) = P(z > -8.92)$

From z probability:

$P(z > -8.92) =1$

Hence:

$P(x > 0.28) = 1$

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3 years ago