Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
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The false statement is (c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
<h3>What are probabilities?</h3>
Probabilities are used to determine the chances of events
The table entry is given as:
- Red - 2
- Blue - 3
- Yellow - 4
- Green - 3
From the list of options, the false statement is
(c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
This is so because:
- Blue or Yellow = 3 + 4 = 7
- Red or Green = 2 + 3 = 5
Notice the count of blue or yellow marbles (7) is greater than the number of red or green marbles (5)
This means that, the probability of selecting a blue or yellow marble is greater than the probability of selecting a red or green marble.
Read more about probabilities at:
brainly.com/question/251701
Answer:
0 is neutral when used in integers. When two integers are the same distance away from 0, on opposite sides of the number line, they are opposites.
Answer: The maximum number of people who could answer yes for both cat and dog is 7.
Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.
Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.
We are to find the maximum number of people that could answer yes for both cat and dog.
Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.
Then, according to the given information, we have
From Set Theory, we have
Since the total number of people is 100, so we get
Therefore, from equation (i), we get
Thus, the maximum number of people who could answer yes for both cat and dog is 7.
Chapter 13. The business is turned over to someone else who oversees the debt repayment along with coming up with a repayment plan over the next 3-5 years.
