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Free_Kalibri [48]
3 years ago
9

A cyclist rides down a long straight road at a velocity​ (in m/min) given by ​v(t)equals=100100minus−1010​t, for 0less than or e

quals≤tless than or equals≤10. a. How far does the cyclist travel in the first 33 ​min? b. How far does the cyclist travel in the first 88 ​min? c. How far has the cyclist traveled when herher velocity is 3535 ​m/min? a. The cyclist travels nothing m in the first 33 min. b. The cyclist travels nothing m in the first 88 min. c. When the​ cyclist's velocity is 3535 ​m/min, sheshe has traveled nothing m. ​(Round to two decimal places as​ needed.)
Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

ask mom

Step-by-step explanation:

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Christopher swam laps everyday in the town swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks.
Dahasolnce [82]
45(5)=225 than multiply that by 60 because remember he only swam 5 out of 7 days a week  (12x5=60)  therefore  225x60= 13,500 minutes to convert to hours divide by 60  which will be 225 hours
8 0
3 years ago
Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one pers
iogann1982 [59]

Answer:

  • 10 -- $10k to any one person
  • 20 -- $20k to all persons, total
  • 5 -- $5k for property damage

  all are <em>maximum</em> values

Step-by-step explanation:

Insurance contracts specify <em>maximum</em> payments, not <em>minimum</em> payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

6 0
3 years ago
What is the value of the expression 10 (n minus 6) when n = 14?
Scrat [10]

Answer:

The value of the expression is 80.

Step-by-step explanation:

14 - 6 = 8.

10 x 8 = 80.

6 0
3 years ago
Read 2 more answers
What is the value of the expression 18-2×(4+3)
Vika [28.1K]
The value would be 4.

First, you have to do 4 + 3 because it's in parenteces. This equals 7
Secondly, you have to do 2 x 7, which is 14.
Last you have to do 18 - 14 which is 4.
3 0
3 years ago
Read 2 more answers
Return to the credit card scenario of Exercise 12 (Section 2.2), and let C be the event that the selected student has an America
Nadya [2.5K]

Answer:

A. P = 0.73

B. P(A∩B∩C') = 0.22

C. P(B/A) = 0.5

   P(A/B) = 0.75

D. P(A∩B/C) = 0.4

E. P(A∪B/C) = 0.85

Step-by-step explanation:

Let's call A the event that a student has a Visa card, B the event that a student has a MasterCard and C the event that a student has a American Express card. Additionally, let's call A' the event that a student hasn't a Visa card, B' the event that a student hasn't a MasterCard and C the event that a student hasn't a American Express card.

Then, with the given probabilities we can find the following probabilities:

P(A∩B∩C') = P(A∩B) - P(A∩B∩C) = 0.3 - 0.08 = 0.22

Where P(A∩B∩C') is the probability that a student has a Visa card and a Master Card but doesn't have a American Express, P(A∩B) is the probability that a student has a has a Visa card and a MasterCard and P(A∩B∩C) is the probability that a student has a Visa card, a MasterCard and a American Express card. At the same way, we can find:

P(A∩C∩B') = P(A∩C) - P(A∩B∩C) = 0.15 - 0.08 = 0.07

P(B∩C∩A') = P(B∩C) - P(A∩B∩C) = 0.1 - 0.08 = 0.02

P(A∩B'∩C') = P(A) - P(A∩B∩C') - P(A∩C∩B') - P(A∩B∩C)

                   = 0.6 - 0.22 - 0.07 - 0.08 = 0.23

P(B∩A'∩C') = P(B) - P(A∩B∩C') - P(B∩C∩A') - P(A∩B∩C)

                   = 0.4 - 0.22 - 0.02 - 0.08 = 0.08

P(C∩A'∩A') = P(C) - P(A∩C∩B') - P(B∩C∩A') - P(A∩B∩C)

                   = 0.2 - 0.07 - 0.02 - 0.08 = 0.03

A. the probability that the selected student has at least one of the three types of cards is calculated as:

P = P(A∩B∩C) + P(A∩B∩C') + P(A∩C∩B') + P(B∩C∩A') + P(A∩B'∩C') +              

     P(B∩A'∩C') + P(C∩A'∩A')

P = 0.08 + 0.22 + 0.07 + 0.02 + 0.23 + 0.08 + 0.03 = 0.73

B. The probability that the selected student has both a Visa card and a MasterCard but not an American Express card can be written as P(A∩B∩C') and it is equal to 0.22

C. P(B/A) is the probability that a student has a MasterCard given that he has a Visa Card. it is calculated as:

P(B/A) = P(A∩B)/P(A)

So, replacing values, we get:

P(B/A) = 0.3/0.6 = 0.5

At the same way, P(A/B) is the probability that a  student has a Visa Card given that he has a MasterCard. it is calculated as:

P(A/B) = P(A∩B)/P(B) = 0.3/0.4 = 0.75

D. If a selected student has an American Express card, the probability that she or he also has both a Visa card and a MasterCard is  written as P(A∩B/C), so it is calculated as:

P(A∩B/C) = P(A∩B∩C)/P(C) = 0.08/0.2 = 0.4

E. If a the selected student has an American Express card, the probability that she or he has at least one of the other two types of cards is written as P(A∪B/C) and it is calculated as:

P(A∪B/C) = P(A∪B∩C)/P(C)

Where P(A∪B∩C) = P(A∩B∩C)+P(B∩C∩A')+P(A∩C∩B')

So, P(A∪B∩C) = 0.08 + 0.07 + 0.02 = 0.17

Finally, P(A∪B/C) is:

P(A∪B/C) = 0.17/0.2 =0.85

4 0
3 years ago
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