Answer:
If one ball is selected at random, the odds for it being stripped are 7 out of 15, or 7/15.
Step-by-step explanation:
We know that there are 15 billiard balls.
We also know that balls numbered 1 through 8 are solid-colored, so we have 8 solid-colored balls.
And the other 7 balls are striped.
Now we want to find the probability for a randomly selected ball to be a striped ball.
Because all the balls have the same probability of being randomly selected, the probability of randomly selecting a striped ball is equal to the quotient between the number of striped balls (7) and the total number of balls (15).
Then we have:
P = 7/15 = 0.467
That quotient is also what is called the "odds"
So if one ball is selected at random, the odds for it being stripped are 7 out of 15, or 7/15.
Answer:
Step-by-step explanation:
Let x be the number of minutes after which both sides have equal number of feet painted,
∵ One side of the fence is painted by Benito,
His speed = 15 ft/min
So, the number of feet painted in one side after x minutes = 15x,
Now, second side of the fence is painted by Taylor,
The feet he already painted = ,
Taylor's speed = 11 ft/min
Thus, the number of feet painted in second side after x minutes = ,
Hence, it will take minutes for both sides to have an equal number of feet painted.
Answer:
x = 3
y = 2
Step-by-step explanation:
Given
y = -2x + 8
y = x - 1
Substitute x - 1 for y in the first equation
We have
y = -2x + 8
x - 1 = -2x + 8
Add 1 to both sides to eliminate 1 on the left side
x - 1 + 1 = -2x + 8 + 1
x = -2x + 9
Add 2x to both sides to eliminate 2x on the right side
x + 2x = -2x + 2x + 9
3x = 9
Divide both sides by 3 to isolate x
3x/3 = 9/3
x = 3
Now substitute 3 for x in either equations to get y
Using the second equation, we have
y = x - 1
y = 3 - 1
y = 2
x = 3 and
y = 2
The answer to 4\|256 is 4, since we can find the square root of 256, which is 16, we can find the square root of the square root, which is 4, so, 4^4 is 256 is your answer
The sum telescopes to
(1 - 1/3) + (1/3 - 1/5) + ... + (1/199 - 1/201) = 1 - 1/201 = 200/201.