First find the determinant, Δ = b^2 - 4ac
<span>a = 1, b = 8 , c = -2 </span>
<span>Δ = 8^2 - 4*1*-2 </span>
<span>Δ = 64 + 8 </span>
<span>Δ = 72 > 0 </span>
<span>therefore there are two real roots!</span>
Answer:
x is equal to 12
Step-by-step explanation:
let maggie's age be x and her brother's, y
3x-7=y ~eqn 1
x+y=41 ~eqn 2
put equation 1into equation 2
x+y=41
x+ 3x-7=41
4x=41+7
4x=48
x=48/4
x= 12
Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer:
2x+12, the answer was derived by multiplying the variable in the bracket by the two
Step-by-step explanation:
