Answer: 1. Yellow, green, black, white, blue, red. yes equally likely
2. heads, tails. yes equally likely
3. possibilites: yellow heads, yellow tails, green heads, green tails, black heads, black tails, white heads, white tails, blue heads, blue tails, red heads, red tails.
4. 1/12
5. still 1/12
Step-by-step explanation:
Answer:
hope this helpful
Step-by-step explanation:
isosceles right
because A light ray incident at 90° at the first face emerges at the same angle. The diagram shows five isosceles right-angled prisms. A light ray incident at 90° at the first face emerges at the same angle with the normal from the last face.
Answer:
x-intercept(s) = (-2,0)
y-intercept(s) = (0, - 5/2)
Step-by-step explanation:
the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s) = (-2,0)
y-intercept(s) = (0, - 5/2)
Answer:
80%
Step-by-step explanation:
4/5=80% chance of getting one correct
The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5
<h3>Write the area A of the triangle as a function of x</h3>
From the figure, we have the following points:
(0,y), (5,3), and (x,0)
Next, we calculate the slopes between the points.
This is calculated as follows:
- Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
- Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]
The slopes are equal.
So, we have:
[3 - y]/5 = 3/[5 - x]
Cross multiply
(3 - y)(5 -x) = 15
Divide by 5 - x
(3 - y) = 15/(5 -x)
This gives
y = 3 - 15/(5 -x)
This gives
y = [15- 3x - 15]/[5 - x]
Evaluate
y = 3x/(x - 5)
The area is calculated as:
Area = 1/2 * xy
So, we have:
Area = 1/2 * x * 3x/(x - 5)
Evaluate
Area = 3x^2/[2(x -5)]
Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]
<h3>
The domain of the function</h3>
We have:
A = 3x^2/[2(x -5)]
Set the denominator > 0
2(x - 5) > 0
Divide by 2
x - 5 > 0
Add 5 to the sides
x > 5
Hence, the domain is x > 5
Read more about domains at:
brainly.com/question/2428614
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