Answer:
Step-by-step explanation:
In probability,
"AND" means "multiplication"
"OR" means "ADDITION"
We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.
Let P(b) be probability of blue pen
Let P(y) be probability of yellow highlighter
We know probability of event is that event divided by total number of that
So,
There are 4 + 2 = 6 pens
Blue pen = 2
Hence,
P(b) = 2/6 = 1/3
And,
There are 5 highlighters
Yellow highlighter = 1
Hence,
P(y) = 1/5
Now,
P(b and y) = 1/3 * 1/5 = 1/15
Hence,
probability of grabbing blue pen and a yellow highlighter is
Answer:
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
First, we need to calculate length LM,
Using Pythagoras theorem:
Collect Like Terms
Solving (a): 
Substitute values for MN and LN
Solving (b): 
Substitute values for LM and MN
Solving (c): 
Substitute values for LN and LM
Solving (d): 
Substitute values for LM and LN
Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.
Answer:
c
Step-by-step explanation:
the answer is c
alernate angles are angles that take the shape of z
Answer:
1.)-8
2.)-5
3.)4
Step-by-step explanation:
So, the function f(x)=3x-5
The questions say "If you were to substitute these numbers what answer would you get?"
Understanding this,
First question is with x=-1
f(-1)=3(-1)-5
f(-1)=-3-5=-8
_____________________________________
f(0)=3(0)-5
f(0)=0-5=-5
_____________________________________
f(3)=3(3)-5
f(3)=9-5=4
