Answer:
<em>On time: 0.67</em>
<em>Late: 0.33</em>
Step-by-step explanation:
<u>Probabilities</u>
One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).
The probability can be estimated with the formula:
And the probability that the event doesn't occur is
Q = 1 - P
Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:
P = 0.67
And the probability he arrives late is:
Q = 1 - 0.67 = 0.33
Answer:
The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line.
Step-by-step explanation:
I did it on Edgenuity
She used 1221 wrapping paper for 21 gifts, so to find the individual amount, you would do:
1221/21
She used about 58.143 ft² of wrapping paper for each gift.
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
Explanation:
Differentiating the solution, we have ...
y' = c1 +8c2x^7
y'' = 56c2x^6
Putting this into the DE, we have ...
x^2y'' -8xy' +8y = 16 . . . . . . . different from your problem statement
x^2(56c2x^6) -8x(c1 +8c2x^7) +8(c1x +c2x^8 +2) = 16
56c2x^8 -8c1x -64c2x^8 +8c1x +8c2x^8 +16 = 16
x^8(56c2 -64c2 +8c2) +x(-8c1 +8c1) +16 = 16
0 +16 = 16 . . . . QED
