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3 years ago

HELP me please!!!!!!

Mathematics

1 answer:

horsena [70]3 years ago

6 0

Y = mx + b

where m = slope and b = y-intercept

You're already given that the slope is 5/2, so put that for m

y = 5/2x + b

To find b, use the ordered pair you're given (-4, -3) and plug -4 for x and -3 for y and solve for b.

-3 = 5/2 * -4 + b

-3 = -10 + b

7 = b

y = 5/2x + 7

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3 years ago

A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor

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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%).

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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:

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

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*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:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

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Y_Kistochka [10]

Answer:

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2 years ago

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Natasha_Volkova [10]

Answer:

x = 90°

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To find y, we add 90 + 47.

That would give us 137°.

All triangles add up to 180°.

180 - 137 = 43.

43° is the answer.

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2 years ago

Read 2 more answers