Answer: D
Step-by-step explanation:
The correct answer should be D. 127
True, a uniform distribution usually means they will be around the same frequency
In the question above, to find the height we have to calculate the value of y.
We are going to solve the 2 equations simultaneously.
y = -0.5x²<span> + 3x .............................................(1)
</span><span>-0.5x + 2.42y = 7.65 .....................................(2)
Solve using substitution method.
From the equation 1,
</span>y = -0.5x² + 3x
Substitute the value of y in the equation 2 with y = -0.5x² + 3x
So we have,
-0.5x + 2.42(-0.5x² + 3x ) = 7.65
-0.5x - 1.21x² + 7.26x = 7.65
- 1.21x² + 6.76x = 7.65
1.21x² - 6.76x - 7.65 = 0
This is a quadratic equation.
Solving the for x using quadratic formula.
x = (- - 6.76 +/- √( 6.76² - 4×1.21×7.65)) ÷ 2
= (6.76 +/- √82.7236) ÷2
= 6.76 +/- 9.095
x = 15.86 or -2.335
But distance can not be negative, the value of x = 15.86 ft.
The height which is the value of y will be;
y = -0.5x² + 3x
= -0.5(15.86)² + 3(15.86)
= 125.7698 + 47.58
= 173.3498 ft
Height = 173.3498 ft
If is a divisor of 12, then
If 3 is a factor (i.e. divisor) of , then can only be one of the elements of this set that are multiples of 3, so
But is positive, so there are 3 possible values can have.