A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an average of 18 games, with a population standard deviation of 6 games. If a sample of only 2 friends is selected at random from the group, select the expected mean and the standard deviation of the sampling distribution from the options below. Remember to round to the nearest whole number.


Answer 1

Answer: \mu_x=18\text{ hours}

\sigma_x=4\text{ hours}

Step-by-step explanation:

We know that mean and standard deviation of sampling distribution is given by :-



, where \mu = population mean

\sigma =Population standard deviation.

n= sample size .

In the given situation, we have

\mu=18\text{ hours}

\sigma=6\text{ hours}

n= 2

Then, the expected mean and the standard deviation of the sampling distribution will be :_

\mu_x=\mu=18\text{ hours}

\sigma_x=(\sigma)/(√(n))=(6)/(√(2))=4.24264068712\approx4  [Rounded to the nearest whole number]

Hence, the the expected mean and the standard deviation of the sampling distribution :

\mu_x=18\text{ hours}

\sigma_x=4\text{ hours}

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Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?



12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12


He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.




Step-by-step explanation:

When an equation shifts down, you simply subtract the amount of units and when it shifts up, you add the amount of units so since it is 2 units down, it is -2



Step-by-step explanation:

It is D because 'moving it down 2 spaces' has to do with the y-axis. If you move a line 2 spaces down then you are moving it down by -2.

What is the relationship between these two values? 8 and 400


Final answer:

The numbers 8 and 400 have different orders of magnitude. They also possess a ratio relationship, with 400 being 50 times bigger than 8. While not directly related through square and square root, both numbers share these relationships with other numbers.


The relationship between the values 8 and 400 can be understood through the concept of order of magnitude in mathematics. The order of magnitude is a rough measure of the size of a number, typically based on powers of 10.

An important factor in analyzing this relationship is understanding the concept of ratio and interval level data. Unlike interval level data, the ratio between the numbers, in this case 8 and 400, carries meaningful information in a ratio scale data. In this case, 400 is 50 times bigger than 8.

Another mathematical relationship between 8 and 400 is square and square root, since 400 is the square of 20, and 8 is the square root of 64. So, although there is no direct square or square root relationship between 8 and 400, they share these relationships with other numbers.

Learn more about Order of Magnitude here:




They both come in the 8 times table.

Caroline can sketch 8 cartoon strips in two hours. How long will it take her to sketch 12 strips?


So start with subtracting 12 and 8 to get 4. You know it takes 2 hours to sketch 8 of the 12 which leaves the 4 left. There are half the strips so, it will take half the time. In the end, it will take them 3 hours.

From two points on the same level as the base of a tree, the angles of elevation to the top of the tree are found to be 24° and 46°. If the two points are 42 feet apart and on the same side of the tree, how tall is the tree? (Give your answer to the nearest tenth of an inch.)​



the answer is 32.8in.

Step-by-step explanation:

(sin 22)/42 = (sin 24)/x

x = 45.60

sin 46 = x/45.60

x = 32.80


hope it helped :)

mark me brainliest!

16+10/5-3*2=12 true or false.


We need to follow the order of operations to get this one right. 
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12Your answer is true!