The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
Answer:
x = 35
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Then
1 exterior angle = 360° ÷ 8 = 45° , so
x + 10 = 45 ( subtract 10 from both sides )
x = 35
Answer:
3/10
Step-by-step explanation:
Answer:
We can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
The product of 12 and x can be displayed as 12x
9 less than 12x is displayed as 12x - 9
Answer: 12x - 9