Answer: 24
Step-by-step explanation:
Find the prime factorization of 72 which is :
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 96
96 = 2 × 2 × 2 × 2 × 2 × 3
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 2 × 3
GCF = 24
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<em>~234483279c20~</em>
Answer:
99.05% probabilitiy that at most six cars are black.
Step-by-step explanation:
For each luxury car, there are only two possible outcomes. Either it is black, or it is not black. The probability of a luxury car being black is independent from other luxury cars. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
If 25 cars of that year and type are randomly selected, find the probabilitiy that at most six cars are black.
In which
99.05% probabilitiy that at most six cars are black.
16x⁴ - 121x² = 0
x²(16x²) - x²(121) = 0
x²(16x² - 121) = 0
x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
x²(4x(4x + 11) - 11(4x + 11)) = 0
x²(4x - 11)(4x + 11) = 0
x² = 0 or 4x - 11 = 0 or 4x + 11 = 0
√(x²) = √(0) + 11 + 11 - 11 - 11
x = 0 or 4x = 11 or 4x = -11
4 4 4 4
x = 2³/₄ or x = -2³/₄
Solution Set: {0, ±2³/₄}
Answer:
C.
Step-by-step explanation:
The formula to convert C° to F° is C = 5(F-32)
The point is in Quadrant III; I know that because of the " - " sign.
The angle from the positive x-axis counterclockwise from zero is pi plus pi/3, or 4pi/3.
The x-coordinate of the point is then 4 cos 4pi/3, or -2.
The y-coordinate of the point is 4 sin 4pi/3, or -3.46.
Check: Is the Pyth. Thm. satisfied here? Does (-2)^2 + (-3.46)^2 = 4^2?
Yes. That comes out to 15.97, which is close enough to verify these 2 coordinates are correct.
