Answer: the group rented 11 Person tubes and 4 cooler tubes
Step-by-step explanation:
There are two types of tubes, Person tube and cooler tube.
Let P represent number of Person tubes that the group rented.
Let C represent number of Cooler tubes that the group rented.
The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information
P + C = 15 - - - - - - - 1
20P + 12.5C = 270 - - - -- - - 2
Substituting P = 15 - C into equation 2,
It becomes
20(15-C) + 12.5C = 270
300 - 20C + 12.5C = 270
- 20C + 12.5C = 270 -300
7.5C = - 30
C = 30/7.5 = 4
P = 15 - C
P = 15 - 4 = 11
Tip: decimal to percentage is easy. 0.78 would be 78%. percentage would be vice versa 39% is 0.39. decimal or percentage to fraction is easy aswell, make the number out of 100, meaning 39% would be 39/100
<span>To solve this, use the point - slope form formula
</span>Point D (-4, 2) and Point E (-1, 5)
<span>y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)
y - 2 = [(5 - 2/-1 -(-4))](x + 4)
y - 2 = x + 4
y = x + 6
To answer this, input the values of points D or E into the equation and make sure that they answer the equation in part A.
</span>y = x + 6
2 = -4 + 6 = -2 so it satisfies the solution
Answer:
0.345
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 5, r = 2, p = 0.41, and q = 0.59.
P = ₅C₂ (0.41)² (0.59)⁵⁻²
P = 0.345
