Answer:
c. 6.5 seconds.
Step-by-step explanation:
We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula
, where h is the height of the plane at t seconds.
To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute
in our given formula and solve for t as:






Take square root of both sides:


Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.
#831 is one out of the 535 left
1/535
= 0.002
= 0.2%
The probability is 0.2%, which is very low. It's even less than 1%. This means it's still very unlikely to get #831 and more like to get one of the other 534 numbers.
0.2% compared to 99.8%
If you look at these 2 numbers on a number line, you can see 99.8% (the other numbers) is more closer to 100%. This proves Augustin is more likely to chose one of the other numbers and doesn't have to be nervous.
Answer:
5' 9"
Step-by-step explanation:
6, 88, and -25/5 are integers - the rest aren’t
Answer:
1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the movies are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
Top two movies, so only one outcome, which means that 
Total outcomes:
Two movies from a set of 1. So

Probability:

1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess