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3 years ago

Look at the triangle shown below

Mathematics

1 answer:

Rufina [12.5K]3 years ago

7 0

This triangle is a scalene triangle because all three of the side lengths aren't equal.All of the three angles have different measures.This triangle would have been classified as acute because the angles are less than 90 degrees.If all angles were 90 degrees then it would be right and if they were more than 90 it would have been an obtuse triangle.Hope this helped!!!!!!!!

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If f(x) = 1 - 2x^3, find the inverse of f.

Artyom0805 [142]

Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y

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3 years ago

Write the equation of the line in slope intercept form

Neko [114]

Answer:

y= -3+2

Step-by-step explanation:

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3 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence level

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

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

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

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

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3 years ago

A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and

11Alexandr11 [23.1K]

Answer:

A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and 30 minutes. But if he travels 200 km by train and rest by car, he takes half an hour longer.find the speed of the train and that of the car

Step-by-step explanation:

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3 years ago

1/20 in dicimal please help

KonstantinChe [14]

0.05 is the answer for your question.

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3 years ago