6th grade math help me pleaseee
1 answer:
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Check the tree diagram of the problem:
The first ball can be either Red or Blue, the second ball can either be Red or Blue.
The branches represent all possible scenarios.
For example, consider the upper branch, the case when both balls are blue:
The first ball is Blue, probability 5/10, the second ball is Blue, probability 4/9 because now there are 4 left blue balls, and 9 balls in total, after we picked the first blue.
The other branches have the same logic.
The question is not completed so we have 2 cases:
"Find the probability that at least 1 ball was red, given that the first ball was red"
here we add the separate probabilities of (R, R) and (R, B)
P(R,R)+P(R,B)=2/9 + 5/18 = 4/18 +5/18= 9/18=0.5
"Find the probability that at least 1 ball was red, given that the first ball was blue"
probability is P(B, R)=5/18=0.28
The first ball can be either Red or Blue, the second ball can either be Red or Blue.
The branches represent all possible scenarios.
For example, consider the upper branch, the case when both balls are blue:
The first ball is Blue, probability 5/10, the second ball is Blue, probability 4/9 because now there are 4 left blue balls, and 9 balls in total, after we picked the first blue.
The other branches have the same logic.
The question is not completed so we have 2 cases:
"Find the probability that at least 1 ball was red, given that the first ball was red"
here we add the separate probabilities of (R, R) and (R, B)
P(R,R)+P(R,B)=2/9 + 5/18 = 4/18 +5/18= 9/18=0.5
"Find the probability that at least 1 ball was red, given that the first ball was blue"
probability is P(B, R)=5/18=0.28
Answer:
Step-by-step explanation:
This is equivalent to finding the equation of a parabola from three points.
Let's call the ground-level points (-3.5, 0) and (3.5, 0).
The axis of symmetry will be the y-axis, so the vertex is at (0, 7).
Part 1. Find the equation of the parabola
The vertex form of the equation for a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
If the vertex is at (0, 7),
h = 0 and k = 7
The equation is
y = ax² + 7
Insert the point (0, -3.5)
0 = a(0 + 3.5)² + 7
0 = a(3.5)² + 7
0 = 12.25a + 7
-7 = 12.25a
a = -0.5714
The equation in vertex form is
y = -0.5714x² + 7
Part 2. Calculate the width when y = 5
5 = -0.5714x² + 7
-2 = -0.5714x²
x² = 2/0.5714
x² = 3.5
x = ±√3.5 = ±1.87
So, on the graph, the coordinates of the truck at ground level are x = -1.87 and x = +1.87.
The maximum width of the load is 1.87 – (-1.87) =
In the diagram below, the red parabola represents the underpass, and the blue box is the truck going through it.
