Answer:
Step-by-step explanation:
Given that
A sample space consists of five simple events, E1, E2, E3, E4, and E5.
a If P(E1) = P(E2) = 0.15,
P(E3) = 0.4, and P(E4) = 2P(E5),
We know that total probability =1
i.e. sum of probabilities of All Eis would be 1
where x = P(E5)
Solving for x we get
x=0.30
So P(E4) = 0.2 and P(E5) = 0.1
-----
b) Let P(E3) =P(E4) = P(E5) = y
then we have
total probability =
Probability of remain are 0.2 each.
Conditional statement is a statement with a hypotesis and a conclusion:
If , then
or mathematically
.
Converse statement of is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: .
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: .
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
<em>Traditional Method:</em>
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
<em>Technology Method:</em>
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
If e-the initial hight of the tree, and the function imply some brackets like
f(x)=30/(1+29e-0.5x) then
for every
the rate of growth is negative, the maximum growth per unit of time would be 30ft
If
then
so the tree couldn't be 2ft tall initially
if the brackets are something like
f(x)=30:(1+29e)-0.5x then the results may differ