Answer:
Step-by-step explanation:
5:4:3 = x:y:2
4:3 = y:2 Cross multiply
3y = 8 Divide by 3
y = 8/3 = 2.66'
5/x = 3/2
3x = 10 Divide by 3
x = 10/3
x = 3.33
Length of the wood = 2.66 + 3.33 + 2
Length of the wood = 8 feet
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
Answer:
12to the 4th power
Step-by-step explanation:
12+44.5=1259327
Answer:
Fully simplified it equals 4x^2 -21x -18
Explanation:
-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18
-You combine like terms to simplify and your answer is 4x^2 -21x -18
