Answer:
Option C.
Step-by-step explanation:
We start with the expression:
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
And:
If we apply these two to our initial expression, we can rewrite it as:
Here we can use the second simplification again, to rewrite:
So, concluding, we have:
Then the correct option is C.
Answer:
y- intercept =
Step-by-step explanation:
Given
f(x) =
To find the y- intercept let x = 0 , then
f(0) =
[
= 1 ]
= × 1 =
← y- intercept
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given
Required
First, we calculate the probability of landing on side
Next, we calculate the expected value; E(x) using:
When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:
--- approximated
<em>Hence, it is expected that it will land on its side 25 times</em>