Answer:
probability that he or she will answer at least 4 problems correctly = 0.5
Step-by-step explanation:
probability that he or she will answer at least 4 problems correctly is given as;
P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)
Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1
Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]
= [(35 x3)/252 ] + [21/252]
= [ 105/252 ] + [ 21/252 ]
= 126 / 252
= 0.5
Answer:
-2x + 8
Step-by-step explanation:
(2x - 6) is subtracted from (7 - 5).
First term that into an equation.
Because our first term is being subtracted from our second one, our equation is written as:
(7 - 5) - (2x - 6).
Simplify the first term by subtracting:
7 - 5 = 2
Now simplify the second term by multiplying 2x - 6 by -1 to get them out of the parenthesis. We do this because there is a negative sign in front of it.
-1 (2x - 6)
-2x + 6
Now our equation is:
2 - 2x + 6
Combine like terms:
2 + 6 = 8
So -2x + 8
(2x - 6) subtracted from (7 - 5) is -2x+8
The box has 450 bars in it. 18 times 25 would equal 450
Y = x + 3/4
x = y - 3/4
swap the variables:-
y = x - 3/4 (answer). Its a.