Answer:
C.) Begin at 74. Travel 19 units to the right.
Step-by-step explanation:
You begin at 74 because that is the number the equation is starting out with. You travel to the right because you are adding 19 units.
Answer:
Number of Large Pizzas: 30
Number of Medium Pizzas: 8
Number of Small Pizzas: 27
Step-by-step explanation:
L = # of large Pizzas
M = # of medium Pizzas
S = # of small Pizzas
Amount:
L = 4M - 2
S = 3M + 3
Cost:
21L + (I'm assuming you meant 14) 14M + 7S = 931
Plus in the Amounts to the Cost:
21(4M - 2) + 14M + 7(3M + 3) = 931
84M - 42 + 14M + 21M +21 = 931
Combine like terms:
119M - 21 = 931
Isolate the Variable:
119M - 21 + 21 = 931 + 21
119M = 952
119M/119 = 952/119
M = 8
Plug it into the Amount equations:
Large: L = 4(8) - 2
L = 32 - 2
L = 30
Small: S = 3M + 3
S = 3(8) + 3
S = 24 + 3
S = 27
Check your work (plug the values into Cost.):
21(30) + 14(8) + 7(27) = 931
630 + 112 + 189 = 931
931 = 931
Answer:
The probability experiment represents a binomial experiment
Step-by-step explanation:
On a Binomial experiment we have the following:
- There are n identical experiment
- Every experiment has 2 possibilities: success or fail
- There is a probability p of success and (1-p) of fail
- Every experiment is independent
Therefore, the probability experiment represents a binomial experiment because we have:
- The investor purchases 3 stocks listed on a stock exchange
- Every stock has 2 possibilities: increase in value over the course of a year or doesn't increase in value over the course of a year
- There is a probability of 0.49 that the stock increase in value over the course of a year and a probability of (1-0.49) that the stock doesn't increase in value over the course of a year
- The probability that every stock listed on this exchange increase in value over the course of a year is independent.
So, the probability that x stocks from the 3 that the investor purchases increase in value over the course of a year is equal to:

Where n is 3, and p is 0.49
Answer:
Step-by-step explanation:
Find the parabola through (
2
,
−
3
) with vertex (
1
,
2
)
.
Standard Form: y
=
5
x
²
−
20
x
+
17
Vertex Form: y
=
5
(
x
−
2
)
²−
3