Answer:
The standard deviation for this distribution is 0.8660.
Step-by-step explanation:
For each coin toss, there are only two possible outcomes. Either it is heads, or it is tails. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:

In this problem, we have that:
In each toss, heads or tails are equally as likely, since the coin is fair. So 
Three throws, so 
What is the standard deviation for this distribution?

The standard deviation for this distribution is 0.8660.
3x = 6y
to get this into slope-intercept form, you simply need to solve for y. remember that slope-intercept form is y = mx + b, where m is your slope and b is your y-intercept.
3x = 6y ... divide both sides by 6
1/2x = y
y = 1/2x is your equation in slope-intercept form. because no "b" value is present, your intercept will simply be 0.
Answer:
Each person will pay $ 7.20
Step-by-step explanation:
First we find the total bill
Pizza $18.60
Salad $2.50
<u>Soda $2.25</u>
Total $ 23.35
Sales Tax would be= 8 1/4% of $ 23.35 =$ 1.926= $ 1.93
Tip = 15% of $ 23.35= $ 3.5025
Total Bill paid= $ 23.35 + $ 1.93+ $3.50= $ 28.7825 or $ 28.78
Now dividing the bill among 4 persons = $ 28.78/4= $ 7.196 or $ 7.20
Paying the bill equally is better and convenient than paying alone as each person gets an equal share of pizza, salad and the soda.
3/4 divided by 1/16 = 3/4 x 16 = 12 servings