Well if her speed is 55 miles per hour
1 hour= 55 miles
? hour= 192 miles
You can divide by 55 and get
3.5 ( I rounded the number)
Hope this helps?
Answer:
<u>37/8</u>
Step-by-step explanation:
we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.
5 1/2 = 11/10
in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)
11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer
11/2 - 1 = 9/2
we will now us the cup we subtracted from that and "give it to the kids"
1 = 8/8
so
8/8 - 7/8 = 1/8
so we have 1/8 leftover from that cup, so we can add that back
since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:
9/2 = 36/8
so
1/8 + 36/8 = 37/8
so since 37/8 cannot be simplified anymore, the answer is
<u>37/8</u>
Answer:
- <em>Probability of event A: </em>1<u>/504</u>
- <em>Probablity of event B:</em> <u>1/84</u>
Explanation:
1. Event A: Bob is the first prize winner, Lena is second, and Ann is third,
- The probability that Bob is the first prize winner is one outcome out of 9 possible outcomes, so it is 1/9
- The probability that Lena is second, after Bob is the first prize winner is one outocome out of 8 possible outocmes, so it is 1/8
- The probability Ann is third, after Bob y first and Lena is second is 1/7.
Thus, the joint probability that Bob is the first prize winner, Lena is second, and Ann is third is the product of the three calculated probabilities:
- 1/9 × 1/8 × 1/7 = 1 / (9×8×7) = 1/504 ← answer
2. Event B: The first three prize winners are Soo, Omar, and Kira, regardless of order
When the order does not matter, the number of combinations for three different persons win the 3 prizes is C(3,3), which is computed with the corresponding formula:
Thus:

And the number of possible combinations of winners is C(9,3):

Then, the probability is the number of favorable combinations, C(3,3) = 1, divided by the number of possible combinations, C(9,3) = 84:
3p/5 = 12
Multiply 5 to both sides:
3p = 60
Divide 3 to both sides:
p = 20
Answer:
all her patients patients with no cavities
patients younger than 18
every patient with braces
Step-by-step explanation:
when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.
From given case, all the following are biased samples
all her patients patients with no cavities
patients younger than 18
every patient with braces
because they are non-random sample of a population in which all other elements were not equally likely to be chosen!