Answer: 8
Step-by-step explanation: To find the least common multiple or (lcm) of 4 and 8, let's begin by listing the first few multiples of each number.
<em><u>Multiples of 4</u></em>
1 × 4 ≈ 4
2 × 4 ≈ 8
3 × 4 ≈ 12
4 × 4 ≈ 16
Notice that we skipped 0 × 6 in our list of multiples and this is because 0 × 4 is equal to 0 and our least common multiple can't be 0.
Now, let's list the multiples of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.
<u><em>Multiples for 8</em></u>
1 × 8 = 8 ← is a multiple of 4
Notice that we can stop here because all other multiples that we find will be greater than 8. Therefore, the least common multiple or (lcm) of 4 and 8 is 8.
Answer:
f = 25
Step-by-step explanation:
We have to find f so:
5f = 125
f = 125 / 5 = 25
Answer:
$1,489,400,000,000
Step-by-step explanation:
Multiply to get the solution.
220,000,000 × 6770 = 1,489,400,000
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
