Answer:
0.91
Step-by-step explanation:
The total of all numbers in the diagram is 35 +5 +10 +5 = 55.
The total of the numbers inside one or both circles is 35 +5 +10 = 50.
The probability of choosing a random student from inside one or both circles (plays some instrument) is 50 out of 55, or ...
50/55 ≈ 0.9090909... ≈ 0.91
P(A∪B) ≈ 0.91
9514 1404 393
Answer:
A
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
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Using these rules, along with the distributive property, we can simplify the given expression.
a) x + 5 = 7
x + 5 - 5 = 7 - 5 (Subtract 5 from both sides)
x = 2
b) 2x - 8 = 20
2x - 8 + 8 = 20 + 8 (Add 8 to each side)
2x = 28
2x/2 = 28/2 (Divide each side by 2)
x = 14
c) 4x - 6x = 200
-2x = 200
-2x/-2 = 200/-2 (Divide each side by -2)
x = -100 (Note that a negative number divided by a negative number is positive, whereas a positive number divided by a negative number is negative)
d) x + 1 = 5
x + 1 - 1 = 5 - 1 (Subtract 1 from each side)
x = 4