The area of the pentagon is 5(1/2*9*13) = 5(58.5) = 292.5 square units.
There are 2 pentagons, so the area of the two are: 292.5 x 2 = 585 square units.
The area of the rectangle is 20 * 13 = 260 square units.
Total area = 260 + 585 = 845 square units.
The answer is D.
Point slope form is
y = m(x-h) + k
where m is the slope
and (h, k) is a point on the line
in this case
m = slope = 1/2
and point (h, k) is (6, -3)
plugging in what we know:
y = (1/2)(x - 6) - 3
or y + 3 = (1/2)(x - 6)
would be your equation in point slope form
Answer:
0.0177 days
Step-by-step explanation:
Solution:-
- The group has n = 50 people
- Each person is equally likely to have a birthday on each of 365 days in the year.
- The probability of success p = 1 / 365
- The probability of failure q = (1 - 1/365)
- We will denote random variable X as a given day has k number of birthdays.
- X follows binomial distribution:
X ~ Bi ( 50 , 1/365)
- The probability that there would be 3 birthdays on a day would be:
P ( X = 3 ) = 50C3 ( 1 / 365)^3 * ( 1 - 1/365)^47
P ( X = 3 ) = 0.00035
- The expected number of days for exactly three people to have same birth date:
E( X = 3 ) = P (X=3)*n = 0.00035*50 = 0.0177 days
Step-by-step explanation:
3 - ( - 5 + 4)
4
- 1 - ( 0 - 2)
1
- 2 - ( 0 - 2)
0
Answer:
y-4=4(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=4
y-4=4(x-(-1))
y-4=4(x+1)
