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3 years ago

Find x, y, and z. Multiple choice answers are below!

Mathematics

1 answer:

labwork [276]3 years ago

7 0

Answer:

The correct answer is B. x ≈ 4.5, y = 5, z = 9

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

x² = 36 - 16

x² = 20

x = √20

x = 2 √5 = 4.47 ≈ 4.5

2. For solving for y, we will do it this way:

There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.

If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9

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Answer:

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Part 2) $y=-\frac{1}{4}x+2$

Step-by-step explanation:

Part 1)

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The equation of the line in slope intercept form is equal to

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we have

$2x+By=16$

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Part 2)

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Isolate the variable y

subtract 2x both sides

$8y=-2x+16$

Divide by 8 both sides

$y=-\frac{2x}{8}x+\frac{16}{8}$

Simplify

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Step-by-step explanation:

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Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let X = number of boards that fall outside the most rigid level of industry performance specifications.

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Compute the sample proportion of defective boards as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

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