Answer:
- 2x² - 2x + 82
Step-by-step explanation:
(f - g)(x) = f(x) - g(x) , then
f(x) - g(x)
= 2 - x² - (x² + 2x - 80) ← distribute parenthesis by - 1
= 2 - x² - x² - 2x + 80 ← collect like terms
= - 2x² - 2x + 82
4Okay, so here's how you will do the problem.
first lets find out how many marbles there are in total. At first, there are 16 marbles. (6 yellow + 10 blue)
knowing this
P(Yellow) = 6/16. that simplifies to 3/8
P(Blue) = 10/16. that simplifies to 5/8
We can tell these are correct because when added together the probabilities equal 1 (meaning there's no missing probabilities)
Now, 2 yellow marbles and 3 blue marbles are removed.
this means there are now 4 yellow marbles and 7 blue marbles. this brings the total amount of outcomes is 11.
Now
P(yellow) = 4/11
P(blue = 7/11
we can cross multiply or find out the decimal values and compare to find out if the two are equal
3/8.× 4/11
33........32
5/8 × 7/11
55....56
We will come back to what this shows us in a moment
yellow - .375 (3/8) > .36 repeated
blue - .625 (5/8) < .63 repeated
Both methods show that the probability CHANGED. So, YES the probabilities were affected.
in method one, the cross multiplying show that yellow probability goes down and blue probability goes up. Using the decimals shows the same
hope this helps!
Answer:
Step-by-step explanation:
The diagram is given to you below. I could not change <C so that it was theta. So C = theta.
So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.
The adjacent side is 7
The hypotenuse is 18
theta = C = cos-1(7/18) = 67.11
To the nearest degree 67.11 = 67
Answer:
6%
Step-by-step explanation:
Interest = Principal × Rate × Time/100
$3780 = $7000(9)(rate)/100
63000rate = 378000
rate= 378000/63000
rate = 6% per annum (Answer)
Let the middle point be M.
MDC is a isometric triangle.
∠MDC = MCD = 25°
∠DBC = 180-25-25-35 = 95°
