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docker41 [41]
3 years ago
11

What is the value of x in the diagram?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
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Answer:  32

Step-by-step explanation:

48 people at the liberty and there are 3 times the number of adults 48 divided by 3 would be 16 kids and 48 - 16 would be 32

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A motorist travels 122 km before his first stop. If he had 10% of his journey to complete at this point, how long was the total
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Step-by-step explanation:

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Geoffrey spent 2 hours and 10 minutes studying for a test and 30 minutes working on a science project. How long did he spend doi
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Answer:

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Step-by-step explanation:

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3 years ago
I really need help plzzzzzzz
Lorico [155]

Answer:

For Question 1

\angle Z =72°

For Question 2

\angle Y =130°

Step-by-step explanation:

Given

\angle X =108°

\angle W =50°

For a Quadrilateral inscribed in a circle we have opposite angles are Supplementary that is

For question 1

\angle X + \angle Z = 180\\108 + \angle Z =180\\\angle Z =180-108=72

For question 2

\angle W + \angle Y = 180\\50 + \angle Y =180\\\angle Y =180-50=130

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Visit Jeju ~ In South Korea, "Jeju" is a famous holiday destination with breathtaking scenic views. A travel agent in Jeju wants
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Answer:

The 95% confidence interval for the true proportion is given on this case by (0.6457 , 0.8489)

For this case we can starting calculating an estimation for the proportion like this:

\hat p =\frac{0.6457 +0.8489}{2} = 0.7473

And we can calculate the margin of error like this:

ME= Upper -\hat p = 0.8489- 0.7473= 0.10106

ME= \hat p -Lower = 0.7473- 0.6457= 0.10106

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and . And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

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

The 95% confidence interval for the true proportion is given on this case by (0.6457 , 0.8489)

For this case we cab starting calculating an estimation for the proportion like this:

\hat p =\frac{0.6457 +0.8489}{2} = 0.7473

And we can calculate the margin of error like this:

ME= Upper -\hat p = 0.8489- 0.7473= 0.10106

ME= \hat p -Lower = 0.7473- 0.6457= 0.10106

5 0
3 years ago
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