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3 years ago

Solve the equation for x.50(4x + 12) = 200

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

Answer:

x = -2

Step-by-step explanation:

50(4x + 12) = 200

4x + 12 = 4

4x = -8

x = -2

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horsena [70]

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2 years ago

The base of a triangle prism shown is an isosceles triangle having a height of H cm, and an area of 36cm squared

Alika [10]

Answer:

the value of h on the diagram is 9cm

Step-by-step explanation:

area = 1/2 * base * height

a = 1/2*b*h

36=1/2*8*h

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4 0

3 years ago

An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and

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

95% confidence level

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).

4 0

3 years ago