Answer:
Step-by-step explanation:
First=4
Second=1 time
Third=3 turning points
Answer:
no
Step-by-step explanation:
Answer: 165 combination can be possible.
Step-by-step explanation:
Here, According to the question,
Different types of machines in the weight room in gym = 11
And, . Geoff has time to use only 3 of them this afternoon.
Therefore, total number of different combination of machine can geoff choose from to use
=
= ( because )
=
=
=
=
=
Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:
Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:
Subtracting 10 from both sides:
For simplicity, divide both sides by -1:
We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:
Substitute:
Evaluate:
Simplify the square root:
Therefore:
Simplify:
Approximate:
Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
Solution: The sum of probabilities of all the sample points must equal 1. And the probability of getting a head is equal to the probability of getting a tail. Therefore, the probability of each sample point (heads or tails) must be equal to 1/2. Let's repeat the experiment of Example 1, with a die instead of a coin.