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3 years ago

In the figure shown, line AB is parallel to line CD.

Mathematics

1 answer:

disa [49]3 years ago

4 0

Answer:

Part A: x = 55°

Step-by-step explanation:

Part A Work:

x + 65 = 120

Part B Work:

The transversal passes through the 2 conforming lines which allows you to use rules such as opposing interior angles.

hope this helps!

- Kiniwih426

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cricket20 [7]

You can use the cosine rule for this - you might have to change some of the letters around for it to make sense though. Hope this helps!

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2 years ago

HELP ME IM SO CONFUSED

givi [52]

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

6 0

2 years ago

Read 2 more answers

Help. What’s the answer to this problem?

liq [111]

Answer:

C) Yes, it’s a reflection over line f.

Step-by-step explanation:

It’s a reflection over line f.

3 0

2 years ago

Which word correctly completes the sentence. the motorcycle fell over on _______ side A.it's B.its

777dan777 [17]

B "it's" means (it is) and that would not make sense if it fell on it is side .

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3 years ago

When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

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

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

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

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

2 years ago