Answer:
The probability that the sample will contain exactly 0 nonconforming units is P=0.25.
The probability that the sample will contain exactly 1 nonconforming units is P=0.51.
.
Step-by-step explanation:
We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.
We can write the probability mass function as:

where k is the number of non-conforming units on the sample of n=4.
We can calculate the probability of getting no non-conforming units (k=0) as:

We can calculate the probability of getting one non-conforming units (k=1) as:

Answer:
7.96
Step-by-step explanation:
X^2-8x+16= (x-4)^2 because -4 and -4 add to -8 but multiply to 16. Hope that helped.
-28 = 3 + 8(h-9)
-28 = 3 + 8h - 72 (distributive property a(b-c) = ab - ac)
-28 = -69 + 8h (combining like terms ( 3 - 72))
41 = 8h (adding 69 on both sides to isolate 8h)
/8 /8 (dividing coefficient (8) on both sides to isolate h)
5.125 = h
Therefore h = 5.125
Answer:
19.5 miles per hour
Step-by-step explanation:
We need to change 20 minutes to hours
1 hours = 60 minutes
20 minutes * 1 hour/60 minutes = 1/3 hour
To find miles per hour we take the miles and divide by hours
6.5 miles
---------------- = 19.5 miles per hour
1/3 hours