Standard form is y=mx+b slope m is
and the y-intercept, b, is seen by point P to be -4. So
y=x-4
and the y-intercept, b, is seen by point P to be -4. So
y=x-4
What is the probability of rolling a 6 and then a 1 on consecutive rolls of a standard, 6-sided number cube?
2 answers:
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Answer:
A)
B) Mean = 1.816
Step-by-step explanation:
We are given the following information:
We treat Stephen Curry making any given free throw as a success.
P(Stephen Curry makes any given free throw) = 0.908
Since the probability for the free throw is equal for each trial and free throws are independent.
Then the number of free shots follows a binomial distribution.
A) Probability distribution
where n is the total number of observations, x is the number of success, p is the probability of success.
Here n = 2, p = 0.908
Now x can take values 0, 1 , 2
Putting values, we get,
B) Mean of X
Thus, the mean number of free shots made by Stephen Curry is 1.816
Answer:
Step-by-step explanation:
First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:
That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:
and
y = -750x + 22200. That answers part A.
Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):
y = -750(13) + 22200 so
y = 12450 people in the year 2014