Answer:
12
Step-by-step explanation:
To find the mean of a set of numbers, add all the numbers together. Then, divide the sum by how many numbers you had to begin with.
Add the numbers together:
10 + 12 + 15 + 11
= 48 This is the sum of the data
Count how many numbers you had:
10, 12, 15 and 11 are FOUR numbers (amount of data).
Divide the sum of the data by the amount of data.
48 ÷ 4 = 12 This is the mean
The mean of 10, 12, 15, 11 is 12.
Answer:
Given point (5,-12) falls into IV quadrant
<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>
- √5² + (-12)² = √25+144 = √169 = 13
<u>Value of sinθ, cosθ, and tanθ:</u>
- sin θ = -12/13
- cos θ = 5/13
- tan θ = -12/5
Answer:
Step-by-step explanation:
(1) P = 5G
(2) G + P = 30
Substituting (1) into (2) gives:
G + 5G = 30
6G = 30
G =5
So there are 5 green pencils.
Now using that in (1) gives us P = 5 x 5 = 25
So there are 5 green pencils and 25 purple pencils.
Answer:
-4x+161
Step-by-step explanation:
why-
because it is correspondoing so that is the answer
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
