Answer:
The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.
Hey there!
To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.
In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.
Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6
Your final answer should be 9.6, or you can leave it in fraction form as 48/5.
Hope this helps!
Answer:
d. The equation has one solution and there is not enough information to determine the direction of the parabola.
Step-by-step explanation:
For a general quadratic equation
y = ax² +bx +c
the solution is
![x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The discriminant (D) is the part of the quadratic formula underneath the radical: b² - 4ac.
D tells us whether there are
- two different real solutions
- two identical real solutions ("one solution")
- two complex solutions.
If D= 0,
![x = \dfrac{-b}{2a}\pm0 = \mathbf{\dfrac{-b}{2a}}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-b%7D%7B2a%7D%5Cpm0%20%3D%20%5Cmathbf%7B%5Cdfrac%7B-b%7D%7B2a%7D%7D)
and there are two identical solutions ("one solution").
The direction of the parabola depends on the sign of a.
That information is not given, so we cannot determine the direction of the parabola.
Direct variation can be written as a proportion. Therefore, we can write:
![\frac{8}{4}= \frac{y}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B4%7D%3D%20%5Cfrac%7By%7D%7B5%7D%20%20)
Cross multiply to get:
4y=40
Divide by 4 on both sides to get that
y=10.
:)
An = -2n(n + 3)
a(15) = -2(15)(15 + 3) = -30(18) = -540