Answer:
Average rate of change = $11250 per year.
Step-by-step explanation:
Let's take two points from given information (2006, 90000) and (2010, 135000).
Now, use slope formula to find slope.
Slope =
Use the two points to find average rate of change (slope)
Average rate of change =
=
=11250
Average rate of change = $11250 per year.
Answer:
A and C
Step-by-step explanation:
Equivalent expressions are expression which when simplified to lowest terms are equal.
Simplify each answer choice to find the expression which simplifies to 
.
A. Multiply the exponents 3*2 = 6. This is equal.
B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.
C. Here the numerator does equal 2. The denominator multiplies to 
This is equal.
D. The denominator will have three terms here when simplified. This will not be equal.
Answer:
x=lizards y=snakes
x+36=y x+y=214
x + x +36=214
2x=214-36
2x/2=178/2
x=89lizards y=89+36=125snakes
Step-by-step explanation:
f= female sankes m=male snakes
m+31=f
m+f=125
m+m+31=125
2m=125-31
2m/2=94/2
m=47 male snakes
f=47+31=78female snakes
Answer:
<h2>The total number of outcomes is 8.</h2>
Step-by-step explanation:
We know that there are different golf balls, white and pink, orange and purple, yellow and red. There are three jars with two golf balls each.
If Kendall chooses one golf ball from each jar, the total number of balls selected would be 4. Now, there are two different colors per jar, and 8 total golf balls with different colors. But, the sets can't have repetitions, and the order matters.
Having said that, the total number of possible sets is:
- White, Orange, Yellow.
- White, Purple, Red.
- White, Orange Red.
- White, Purple, Yellow.
- Pink, Orange, Yellow.
- Pink, Purple, Red.
- Pink, Purple, Yellow.
- Pink, Orange, Red.
Notice that these eight outcomes includes all possible results.
Therefore, there are 8 possible outcomes.
Answer:
P(A ∩ B) = 0.75 (option d)
Step-by-step explanation:
P(A)=0.50
P(B)=0.40
P(A U B)=0.15
P(A ∩ B)=?
P(A U B)=P(A)+P(B)-P(A ∩ B)
Replacing the given values:
0.15=0.50+0.40-P(A ∩ B)
Adding like terms:
0.15=0.90-P(A ∩ B)
Solving for P(A ∩ B):
Subtracting 0.90 both sides of the equation:
0.15-0.90=0.90-P(A ∩ B)-0.90
Subtracting:
-0.75 = -P(A ∩ B)
Multiplying both sides of the equation by -1:
(-1)(-0.75) = (-1) ( -P(A ∩ B) )
0.75 = P(A ∩ B)
P(A ∩ B) = 0.75
