Answer:
25.5 mph
Step-by-step explanation:
So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed
So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15
y=2(0.25)+40
y=0.5+40
y=40.5
So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed
40.5 - 15 = 25.5
Answer:
0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.
Step-by-step explanation:
For each coin flip, there are only two possible outcomes. Either it is heads, or it is tails. The probabilities for each flip are independent from each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
For each coin toss, heads and tails are equally as likely, so 
What is the probability of obtaining 5 heads from 5 coin flips?
This is P(X = 5) when n = 5.
So


0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.
Samantha bought 3 packets of stickers, each having 100.
-> In total, she bought 3 x 100 = 300 stickers.
If she divides all of the stickers evenly among 6 friends and herself, each person would get 300 : 7 = 42(r6) stickers, which mean there is going to be 6 stickers left over.