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2 years ago

15

we were 10 marbles in a bag airport randomly choose to marble from the bag how many red marbles are in the probability of red is

2/50

1 answer:

yaroslaw [1]2 years ago

3 0

Answer:

5

Step-by-step explanation:

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From a point on the ground, Geoff measures the angle of elevation of a 130m tower to be 36°. How far from the base of the tower

Gala2k [10]

Answer:

Geoff is 16.77 m far from base of tower.

Step-by-step explanation:

steps are in the picture below.

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2 years ago

The sum of 2 numbers is 100. Twice the first number plus twice the second number is 200. What are the numbers?

dlinn [17]

Answer:

50+50=100

100+100=200

Step-by-step explanation:

The sum of 2 numbers is 100. 50 x 2 = 100

Twice the first number plus twice the second number is 200.

50+50=100 so therfore 100+100 makes 200

6 0

2 years ago

Read 2 more answers

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha

irinina [24]

Answer:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

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

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

Solution to the problem

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)

The margin of error desired for this case is $ME= \pm 0.02$ equivalent to 2% points

For this case we need to assume a confidence level, let's assume 95%. And since we don't have prior estimation for the population proportion of interest the best value to do an approximation is $\hat p =0.5$

In order to find the critical value we need to take in count that we are finding the margin of error 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 $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

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

Now we have all the values needed and if we replace into equation (b) we got:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

5 0

2 years ago

If the radius of a circle is twice as great as

slava [35]

Answer:

how many times larger? 4 times as large

Step-by-step explanation:

if the radius is half as big as the diameter and the diameter is half of the area

<u>r</u> x <u>r</u> = d

<u>d</u> x <u>d</u> = a

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2 years ago

HELP PLEASE IM ALMOST DONE I WILL MARK BRAINLIEST

gulaghasi [49]

Answer:

y = 94

x = 86

Step-by-step explanation:

brainliest plz

7 0

2 years ago