The answer to your question is 9 x 9 = 81.
F(x^2) = x^2 - 3
5f(x^2) = 5x^2 - 15 = 2x - 8
Placing all the terms on the left side, we get:
5x^2 - 2x - 7 = 0 which factorises to
(5x - 7)(x + 1) = 0
So, x = 7/5 or x = -1
But x is non-negative, so x = 7/5 = 1 2/5
C is the answer.
<span>Let p be the probability that an adult was never in a museum. Hence p = 0.15. Then q is the probability that an adult was in a museum is 1 - 0.15 = 0.75. We have a binomial expansion where the probability of k success in n trials is given by
P_n(k) = (n, k) p^(k) q^(n -k) where (n, k) is the number of ways to select 10 objects from k things.
At least two or fewer means we have P_10 (< or equal to 2)
So we have P_10 (less than or equal to 2) = P_10 ( 0) + P_10 (1) + P_10 (2).
So we have P _10 (0) = ( 10, 0) (0.15)^ (0) (0.75)^(0) = 0.196. For P_10(1), we have 0.3474 and for P_10(2), we have 0.2758. Adding these we have 0.1960 + 0.3474 + 0.2758 = 0.8192.</span>
<span>For this case, what you must do is find the area of the two rectangles shown in the figure.</span>
<span> We have then:</span>
<span> Rectangle 1:</span>
<span> A1 = (40) * (18)</span>
<span> A1 = 720</span>
<span> Rectangle 2:</span>
<span> A2 = (24-18) * (40-30)</span>
<span> A2 = (6) * (10)</span>
<span> A2 = 60</span>
<span> The area of the composite figure is:</span>
<span> A = A1 + A2</span>
<span> A = 720 + 60</span>
<span> A = 780 feet ^ 2</span>
<span> Answer:</span>
<span><span><span><span> the area of the figure is:</span></span></span></span>
<span><span><span> <span>C. 780 ft ^ 2</span></span>
</span></span>
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Answer: The 36th caller will be the first one to win both
Step-by-step explanation:
Given: A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 9th caller receives a limo ride.
To find which caller would be the first one to win both, we will find the LCM.
Prime factorization of 9 and 12:
12 = 3x 2x 2
9 = 3x 3
[Where LCM=Least common multiple]
Therefore, the 36th caller will be the first one to win both.
