9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Answer:
a)
T` {-4,-2}
R` {2,8}
S` {-9,4}
Step-by-step explanation:
x, y → y,x
Answer:
(x, y) = (18/5, 16/5)
OR
(x, y) = (3.6, 3.2)
Let X be a discrete random variable with geometric distribution.
Let x be the number of tests and p the probability of success in each trial, then the probability distribution is:
P (X = x) = p * (1-p) ^ (x-1). With x = (1, 2, 3 ... n).
This function measures the probability P of obtaining the first success at the x attempt.
We need to know the probability of obtaining the first success at the third trial.
Where a success is defined as a customer buying online.
The probability of success in each trial is p = 0.3.
So:
P (X = 3) = 0.3 * (1-0.3) ^ (3-1)
P (X = 3) = 0.147
The probability of obtaining the first success at the third trial is 14.7%
Answer:
(pi)4 or about 12.57 sq. units
Step-by-step explanation:
The base area of a cylinder is a circle.
Since we know that the radius is 2, we can use the equation A = (pi)r^2 to find the area.
So, using this formula, the area is (2)(2)(pi), about 12.57 sq. units (area is squared!)
