Answer:
8
Step-by-step explanation:
Answer:
16 1/12
Step-by-step explanation:
The LCD of 6 1/3 + 5 1/2 + 4 1/4 is 12; 12 is evenly divisible by 3, 2 and 4.
We can rewrite this expression as:
6 + 5 + 4 + 1/3 + 1/2 + 1/4, or
15 +4/12 + 6/12 + 3/12, or
15 + 13/12, or
16 1/12
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.
Answer:
Becky needs approximately 3 containers to fil the vase up to 75%.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container as shown below:
volume = pi*r²*h = pi*5²*10 = 250*pi = 785 cm³
Since becky wants to fill 75% of the vase capacity, she needs to fill:
goal = 2800*75/100 = 2100 cm³
Therefore Becky needs a total of
containers = goal/volume
containers = 2100/785 = 2.67
Becky needs approximately 3 containers to fil the vase up to 75%.