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3 years ago

Does anyone know this question?

Mathematics

1 answer:

marusya05 [52]3 years ago

6 0

Answer: angle 5 is a 110 degree angle
explanation: angles 3 and 5 are same side interior angles, making them supplementary to each other

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R560 invested at 8% p.a. simple interest for 3 years

alexdok [17]

Answer:

R 694.4

Explanation:

simple interest = $\sf{\dfrac{PRT}{100}$ → $\sf \dfrac{560*8*3}{100}$ → R 134.4

where p refers to principal, r refers to rate, t refers to time.

total money:

invested money + simple interest

R 134.4 + R 560 → R 694.4

4 0

2 years ago

Read 2 more answers

If you know 72=9×8,then _is_times as many as_

Leokris [45]

Answer:

10 is 10 times as many as 10

Step-by-step explanation:

7 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

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

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

The margin of error for the proportion interval is given by this formula:

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

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

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 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

2 years ago

Is the function even odd or neither

Andrei [34K]

Answer: Neither

The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.

The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.

4 0

2 years ago

Convert the angle in degrees to radians. Express your answer as a multiple of π.

Elena L [17]

Converting 25 degrees to radians:

180° = π radians.

1° = π/180 radians.

25° = (π/180 radians) * 25

= (25/180) * π radians.

Leaving the answer in terms of π, 25/180 = 5/36

= (25/180) * π radians = (5/36)π radians or ≈ 0.1389π radians.

Therefore 25° = (5/36)π radians or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π radians or ≈ 0.1389π radians

5 0

3 years ago