Answer: 0.8202
Step-by-step explanation:
Probability an adult was never in a museum = probability of success = p = 15% = 0.15
To find probability that 2 or fewer of the 10 samples selected were never in a museum is given by:
P(X=2) or P(X=1) or P(X=0).
Where
P(X=r) = nCr * p^r * q^n-r
and n=10, p =0.15, q=0.85
When r = 2
P(X=2) = 10C2 * 0.15² * 0.85^8 = 0.2759
When r = 1
P(X=1) = 10C1 * 0.15 * 0.85^9 = 0.3474
When r = 0
P(X=0)= 10C0 * 0.15^0 * 0.85^10 = 0.1969
Hence probability of having 2 or fewer adults who never visited the museum = 0.1969 + 0.3474+ 0.2759 = 0.8202
Answer:
Step-by-step explanation:
Tangent to y-axis means that the side of the circle TOUCHES the y axis.
Since the center is at (-7,2) and it touches the y axis, we can figure out the radius. It goes from (-7,2) to y-axis. Horizontally, the center is 7 units left of y-axis, so that is the radius ----- 7 units
The standard form of a circle is:
Where
(h,k) is the center
r is the radius
Putting the information into the form, we have:
THis is the standard form.
Answer:
parallel
Step-by-step explanation:
find the slope of each line
Line 1 (5-2)/(-4-2) = 3/-6 =-1/2
Line 2 (-4--9)/(-6-4)= 5/-10 = -1/2
