For the first three balls that are chosen, the probability would be found by the following expression: 9/15*8/14*7/13 = 12/65 The numerator decreases since the number of new balls is decreasing with each one that is removed. The denominator decreases since the total number of tennis balls in the box is being decreased. For the second time that balls are chosen, the following expression is used: 6/15*5/14*4/13 = 10/273 The numerator starts with 6 since there are now fewer balls that are unused due to the ones previously have been used. These two fractions are then multiplied to find the total probability that none of the 6 balls were used. 12/65*10/273 = 8/1183
A1 or just a as it is in the equations is just the initial term of the sequence. In this case a1=1
r is the common ratio which is that constant ratio found by dividing any term by the term preceding it...
In this case r=3/1=9/3=27/9=etc=3
So a1=1 and r=3, C. is your answer.
Answer:
ax² + bx + c
Step-by-step explanation:
The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.
Suppose a quadratic function:
f(x) = 2x² - 8x + 9
Use ( -b/2a , f(-b/2a) ).
-b/2a
a = 2
b = -8
-(-8)/2(2)
8/4
= 2
f(2) = 2(2)² - 8(2) + 9
f(2) = 2(4) - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
The minimum value of this quadratic function is (2, 1).
It represents a minimum value because a > 0.
Answer:
3/4 or .75
Step-by-step explanation:
math
Just mult. this monthly pay by 12 to obtain the annual salary:
12($1484.25) = $17775 per year (answer)
