Answer:
10
Step-by-step explanation:
Let "a number" = x
4(x - 4) = 24
Isolate the x. First, divide 4 from both sides
(4(x -4))/4 = (24)/4
x - 4 = 6
Add 4 to both sides
x - 4 (+4) = 6 (+4)
x = 6 + 4
x = 10
10 is your answer for "a number"
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
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>
Answer:

Step-by-step explanation:
So we have the equation:

And we want to solve for a.
So, subtract 1.2a from both sides:

Now, subtract 3.4b from both sides:

And that's our answer :)
Answer:
feel like its C
Step-by-step explanation: