Answer:
The Probability of the pebble landing on red = 1/3
The Probability of the pebble landing on blue = 1/6
The Probability of the pebble landing on white = 1/2
Total sum of probability = 1/3 + 1/6 + 1/2 = 1
The probability that the first pebble lands on blue and second pebble lands on red is:
1/6 * 1/3
= 1/18
Step-by-step explanation:
Red, Red = 1/3 * 1/3
Red, Blue = 1/3 * 1/6
Red, white = 1/3 * 1/2
Blue, Blue = 1/6 * 1/6
Blue, Red = 1/6 * 1/3
Blue, white = 1/6 * 1/2
White, White = 1/2 * 1/2
White, Red = 1/2 * 1/3
White, Blue = 1/2 * 1/6
a=1 b= c=Step-by-step explanation:
Answer:
4.3 g
Step-by-step explanation:
An outlier is a data point that strays far from the average of the group.
The other data points are all close to 3.
See how 4.3 is way farther from 3 than all the rest?
Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60