A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed
from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
Answer:
7 blue marbles
Step-by-step explanation:
15 blue
5 red
11 green
Total = 31
Number of Blue marbles that must be removed to obtain a probability of :
P(blue) = 1/3
Probability = required outcome / Total possible outcomes
Let number of blue marble to be removed = x
Number of Blue becomes : 15 - x
Total becomes : 31 - x
P(blue) = 1/3
1/3 = (15 - x) / (31 - x)
1/3 * (31 - x) = 15 - x
(31 - x) / 3 = 15 - x
31 - x = 45 - 3x
-x + 3x = 45 - 31
2x = 14
x = 14 / 2
x = 7
203 is the answer there you go
Tree height / 14 = 6 / 3.5
tree height = (14 * 6) / 3.5
Answer:
The rock remains in the air for t = 3.832 s
Step-by-step explanation:
To easily solve this equation, we can graph the equation with a calculator and see the interval for which the rock remains in the air.
(There is a minor problem with the equation, the last term should be 120 to model the 120 ft building)
h(t)= -16t^2 -30t + 120
Please see attached picture for the graph.
The time it takes for the ball to hit ground can be found by making
h(t) = -16t^2 -30t + 120 = 0
In the graph this point is equal to
t = 3.832 s
h(t) = 0
Answer:

Step-by-step explanation:




