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2 years ago

Which situation demonstrates the law of large numbers

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

Answer: Choice B

The more trials you do, the closer the empirical probability should get to the theoretical probability. It won't be a perfect match but it will likely be close enough so to speak. Note how 70/420 = 1/6.

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You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0

2 years ago

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 122 degrees, what does ADC measures

iren2701 [21]

Answer:

61°

Step-by-step explanation:

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

5 0

3 years ago

What is the answer to 12-2u=9u+45

Mars2501 [29]

Answer:

u = -3

Step-by-step explanation:

12 - 2u = 9u + 45

2u - 12 = -9u - 45

2u + 9u = 12 - 45

11u = -33

u = -33/11

u = -3

5 0

3 years ago

What is (-9)+9 simplified

Paul [167]

Answer:

the answer is zero

Step-by-step explanation:

-9+9=0

6 0

3 years ago

can someone help me with this

stiks02 [169]

90000
Haha boogaloo booga

8 0

3 years ago