Pupils that chose Band: 60%
Pupils that chose Chorus: 40%
Boys in band: 70%
Boys in chorus: 30%
Probability of choosing boy = Probability of boy in band + Probability of boy in chorus
P = 0.6 x 0.7 + 0.4 x 0.3
P = 0.54
The answer is D.
Answer:
Step-by-step explanation:
absolute value of |7 1/8| is 7 1/8
Hello!
The domain of the function are the x-values that make the function true.
Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).
From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.
Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.
Answer:
Calculate the Macaulay duration of Annuity B at the time of purchase is 1.369.
Step-by-step explanation:
First, we use 0.93 to calculate the v which equals 1/(1+i).
= 0.93
After rearranging the equation, we get 1.07 + 0.07v - 0.93=0
So, v=0.9
Mac D:
After substituting the value of v, we get Mac D = 1.369.
Answer:
108
Step-by-step explanation:
Since 3n is a perfect square, that means that n has to be a multiple of 3. Since 2n is a perfect cube, then n has to be divisible by 2^2=4. Since n is a multiple of 3, then n also has to be divisible by 3^3=27. Therefore, the smallest value for n is 4*27=108.