Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
Step-by-step explanation:
1. 1*1/6= 1 /6=1.67
2. 9*7/10= 63/10= 6.3
3. 7*4/8= 28/8= 3.5
4. 1/2 of 2= 1/2*2= 0.5*2= 1
5. 1/12 of 2= 1/12*2= 8.33*2= 16.66
6.2/6 of 2= 2/6*2= 3.33*2= 6.66
7. 1/3 of 5= 1/3*5= 3.33*5= 16.65
8. 3/10 of 8= 3/10*8= 0.3*8= 2.4
Hope it's help you ♥️
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. The vertex is the turning point, or minimum, of the function. It is (x, y) = (-4, 0). The x-coordinate there is -4, so the equation of the axis of symmetry is ...
x = -4
We can solve by figuring the area of the rectangle then add it to the area of the semicircle.
Area of the rectangle: length · width = 6 · 10 = 60 ft²
Area of the semicircle: (πd²)/8 = (3.14 · 6²)/8 = (3.14 · 36)/8 = 14.13 ft²
Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²