Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Step-by-step explanation:
There is figures in you question. Please check your question.
There are 90 different identification numbers possible.
<h3>What are the permutation and combination?</h3>
In terms of mathematical concepts, “permutation” and “combination” are related to each other.
The combination is the counting of selections that we make from n objects.
Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.
There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;
10 × 10 = 100 total possible PINs.
Now, because you can't use the same number twice, we subtract 10 from 100 because there are 10 numbers that can match themselves.
100 -10 =90
Hence, there are 90 different identification numbers possible.
Learn more about combination here;
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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
