All categories

3 years ago

Three times the measure of an angle is 14 less than the measure of its complement. what's the measure of the angle?

Mathematics

1 answer:

allsm [11]3 years ago

8 0

X = original angle

3x = (90-x) - 14
3x = -x + 76
4x= 76
x = 19

The measure of the angle is 19 degrees

You might be interested in

A meuseum added 18 painting to its collection in may. This is 20% of paintings the meuseum has in April. How many paintings did

Alexus [3.1K]

18 / x = 20 / 100

20x = 1800

x = 90

The museum had 90 paintings in April.

Hope this helps!! :)

5 0

3 years ago

How can the decimal 0.57 be written as a fraction

Akimi4 [234]

If you want to convert 0.57 into a fraction, you can do it like this:

0.57 equals to 57/100 (you can't do anything else because 57 and 100 don't have common factors).

The result is 57/100.

7 0

3 years ago

Read 2 more answers

Help me pls I really really need help with this I'm so bad at math

MAVERICK [17]

Question 7: Answer J (7/8 - 1/2 = 3/8)

6 0

3 years ago

What is 4 divided by 3/10

jarptica [38.1K]

Answer:

The answer is 40/3

Step-by-step explanation:

To find this answer, note that dividing by a fraction is the same as multiplying by its reciprocal.

4 ÷ 3/10

4 × 10/3

40/3

6 0

3 years ago

A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben

juin [17]

Answer:

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

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".

Solution to the problem

The population proportion have the following distribution

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

The confidence interval would be given by this formula

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

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0

3 years ago