To determine the probability that both people chosen are females, we will use the rule of multiplication.
Let event A = the event that the first person chosen is female; and let B = the event that the second person is female.
To start, it is given that there are 10 students, 5 of them are females. Therefore, P(A) = 5/10
After the first selection, there are 9 students, 4 of them are females. Therefore, P(A|B) = 4/9
Based on the rule of multiplication:
P(A∩B) = P(A) * P(A|B)
P(A∩B) = (5/10) (4/9)
P(A∩B) = 20/90
P(A∩B) = 2/9
The probability that both people chosen are females is 2/9.
Answer:
9 seconds
Step-by-step explanation:
The complete question is
The altitude of an object, d, can be modeled using the equation below:
d=-16t^2 +vt+h
from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?
Let
d ----> the altitude of an object in feet
t ---> the time in seconds
v ---> initial velocity in ft per second
h ---> initial height of an object in feet
we have

we know that
When the arrow reach the water the value of d is equal to zero
we have



substitute the values and solve for t


Multiply by -1 both sides

The formula to solve a quadratic equation of the form
is equal to
in this problem we have
substitute in the formula
the solution is t=9 sec
see the attached figure to better understand the problem
Answer:
72 ft.
Step-by-step explanation:
In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula,
, where <em>l</em> represents the length of the rectangle and <em>w</em> represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!

<u>Therefore, it would require 72 ft. of fencing to enclose the kennel.</u>
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<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
Answer:
Area = 5/6 * x^2
Step-by-step explanation:
If you are given the base and height of a certain triangle, you will most likely be asked to find the area
The area of any triangle can be found by
Area = base*height * (1/2)
In your case
Area = (5/3)*x*x* (1/2) = 5/6 * x^2
In your case, x should be a known parameter of your triangle, so if you have the value of the height, you should be able to find the area. Or conversely, if you have the area, you can find the length and height of your triangle.