Answer:
5/8
Step-by-step explanation:
Find P(x = 3 blues for the 2 draws)
two draws
Binomial probability.
we know p = 3/8 for blue, else q = 1 - q = 1 - (3/8)
X = # of blue marbles left in the bag.
apparently it looks like there are 8 marbles in the bag, 3 are blue, 5 are red
X = 3 , means the draw was a red 5/8 for the first draw
the 2nd draw can be a blue or a red so, probability is 1
P(X = 3) = (5/8) * 1 = 5/8
There are 130 tickets. 30 of these tickets are worth $5 or $ 10. Therefore, 30 of these 130 tickets are worth $5 or greater. Simplying 30 / 130 gives the probability of 3 / 13 or roughly 23%.
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
B.
• x+2y=-6
• x-2y=-6
Step-by-step explanation:
Try the solution in the equations and choose the set of equations that is true.
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A. -6+0 ≠ 0 . . . not this system
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B. -6 +2·0 = -6 . . . true
-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)
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C. -6 -6·0 ≠ 1 . . . not this system
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D. 4(-6)+3·0 ≠ -18 . . . not this system
Choice A is correct! -2> -2.5
