Since all of the variables are y^3, all we have to do is the addition and subtraction of the whole numbers...
2y^3 - 3y^3 + 3y^3 - 4y^3 =
-2y^3
***Notice that the -3y^3 and 3y^3 just cancel out so all you have to do is the
2-4 = -2
Piece of cake :)
Answer:
The length of CD is 8 units
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
According to the Right Triangle Altitude Theorem,

substitute the given values


solve the quadratic equation by graphing
The solution is x=8 or x=-6
see the attached figure N 2
Discard the negative length.
therefore
The length of CD is 8 units
Thought you'd want to know: If you're talking about parabolas, it's parabolas, not probables. ;)
The standard equation of a a quadratic is y = ax^2 + bx + c. We need to find the values of the coefficients a, b and c.
Taking the first point: When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
0 = 9a + 3b + 1c
Do the same for points (-2,3) and (-1,4).
You will have obtained three linear equations in a, b and c:
3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also
4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.
I used matrix operations to solve this system. The results are:
a= -2/5, b= 1/5, c= 21/5
and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.
Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.
This means that 
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. So



has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Answer:
d
Step-by-step explanation:
13 red, 1 king of spade, 1 ace of club