Answer:
26.88 mm
Step-by-step explanation:
4.2 x 12.8 = 53.76/2 = 26.88
Answer:
y = -2/3x + 16/3
Step-by-step explanation:
y = -2/3x + b
4 = -2/3(2) + b
4 = -4/3 + b
16/3 = b
Answer:
a. 0.12109
b. 0.0001668
c .0.9726
d. 0.01038
e. 0.01211
f. 0.000001731
Step-by-step explanation:
Sample size = 580
Defective units = 8
Number of picks = 2
a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

b) The probability that both are defective is given by:

c) The probability that both are acceptable is given by:

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

f) The probability that all three are defective is given by:

In the binomial expansion of (0.30+0.70)²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰×0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p(x=10)=0.50 is false, answer b.
Answer:
1/20
Step-by-step explanation:
Remark: Not huge
Total number of Socks: 6 + 6 + 4 = 16
P(First Black Sock): 4/16 = 1/4
The second Sock needs to be discussed a bit. The number of black socks has gone down to 1 and the total will always go down by 1.
Second Sock: 3 Black / 15 Total = 3/15 = 1/5
Combined Probability: 1/4 * 1/5 = 1/20