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4 years ago

Find the missing values in the following figures

Mathematics

1 answer:

jekas [21]4 years ago

4 0

Answer:

15.

x = 40/9 = 4 4/9

z = 24/5 = 4 4/5

17.

x = 50

y ≈ 11.5

Step-by-step explanation:

15. Corresponding segments are proportional:

top right side / whole right side = x / 8

5/(5+4) = x/8

x = 8(5/9) = 40/9

x = 4 4/9

right side bottom / right side top = z / 6

z = 6(4/5) = 24/5

z = 4 4/5

____

17. The acute angles are complementary:

x = 90 -40 = 50

From the Pythagorean theorem:

y = √(15² -9.6²) = √132.84

y ≈ 11.5

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Marta_Voda [28]

Answer:

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that $n = 356, \pi = \frac{244}{356} = 0.685$

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So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733$

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

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3 years ago

What is the solution of 4x 2 36?

Helga [31]

Answer:

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Step-by-step explanation:

If you're meaning 4x+2=36 or 4x-2=36

-2 -2 +2 +2

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

The larger of two supplementary angles is 6 less than 5 times the smaller. Find the measure of the two angles.

zimovet [89]

Answer:

Step-by-step explanation:

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3 years ago

Find the missing values in the following figures​

Find the missing values in the following figures