Each question has four choices, then the probability to guess a correct answer is
and the probability to select incorrect choice is
.
You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
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</span><span>
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.
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Answer:
3
Step-by-step explanation:
All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...
mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)
= mod(33, 15) = 3
The remainder is 3.
Answer:
d=hf+5
Step-by-step explanation:
Step 1: Factor out variable d.
d(f+5)=h
Step 2: Divide both sides by f+5.
d(f+5)f+5=hf+5
d=hf+5
Answer:
sin
/4 * sin/6 = 1/2 *(cos /12 - cos 5/12)
Step-by-step explanation:
Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]
sin(π/4)sin(π/6)
= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]
= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]
= (1/2)[cos(π/12) - cos(5π/12)]
Answer:
C. (3x)^2 - (2)^2
Step-by-step explanation:
Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...
(3x)^2 - (2)^2
highlights the squares being differenced.
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We know the factoring of the difference of squares is ...
a^2 -b^2 = (a -b)(a +b)
so the above-suggested rewrite is useful for identifying 'a' and 'b'.
