1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
2 years ago
15

Studies have shown that passengers in a vehicle increase

Mathematics
1 answer:
erica [24]2 years ago
8 0

Answer:

{0, 1, 2, 3, 4, 5, 6, 7}

Step-by-step explanation:

We know that the probability is modeled by a function:

f(x) = 0.09*(1.43)^x

Where x represents the number of passengers in addition to the driver.

Here we need to remember some things about probability.

We can not have a negative probability.

In the case of a continuous probability distribution, we must have:

\int\limits^a_b {f(x)} \, dx = 1

(this means that the sum of probabilities of all possible outcomes is equal to 1)

And in a discrete case, such that we have N events with probabilities P(1), P(2), ..., P(N)

we must have:

P(1) + P(2) + P(3) + ... + P(N) = 1

So if we use that as our criteria to find the correct domain, then all the options are incorrect.

Here we only can use the context of the problem to find the correct domain.

Then let's ask, what does x represent?

the number of passengers.

Now let's see the options and let's see if these domains can represent a given number of passengers or not.

a) All real numbers.

Well, in the set of all real numbers we have numbers like -123.4213

And that clearly can not be a number of passengers, so we can discard this option.

b) {0, 1, 2, 3, 4, 5, 6, 7}

This seems correct, this can mean that you can have from 0 to 7 passengers. (what happens in the case where you have 8 or more? maybe this model does not work for that many passengers)

c) All positive integers.

This seems to solve the problem of having 8 or more passengers, but in this domain, we do not have the number 0 (we have only positive integers) then the case of having no passengers is not modeled, then there is a problem. (Also, in this case, we could have 100,000,000,000. passengers, or even more, and that does not have a lot of sense)

d) 0 ≤ x  ≤ 7

This is all the real numbers between 0 and 7 (0 and 7 included)

Then in this case we have numbers like 3.14

And you can not have 3.14 passengers in your vehicle (you can have 3 of them, and the remaining 0.14?)

So this domain can be discarded.

Then the only domain that makes sense is the second one,  {0, 1, 2, 3, 4, 5, 6, 7}

You might be interested in
The quotient of 49 and d increased by the product of k and f?
stich3 [128]
"d increased by the product of k and f" is d+kf

49/(d+kf)

The final answer is 49/(d+kf)~
6 0
3 years ago
Can Someone Please Help With my homework
Arada [10]

Answer:

10

Step-by-step explanation:

She already has 75 points. 140-75 is 65. 65/6.5 is 10.

5 0
2 years ago
A small black cloth bag holds two red counters, two green counters, two
pentagon [3]

Answer:

1/14

Step-by-step explanation:

P(red, then black) = \frac{2}{8} · \frac{2}{7} = \frac{4}{56} = \frac{1}{14} (simplifed form)

7 0
2 years ago
Need help with this question. Thank you!
Paul [167]

Answer:

61.2

Step-by-step explanation:

Distribute the figure into three shapes. Triangle, and two rectangles.

Find the area.

8 0
3 years ago
Read 2 more answers
01:37:06
Andrej [43]

Answer:

3x - 4y = -4

Step-by-step explanation:

When you put co-ordinate in it then give zero

3(-4)-4(-2)+3=0

5 0
2 years ago
Other questions:
  • Liam wants to buy a bicycle for $180.00 his parents say liam must raise 60% of the money
    13·2 answers
  • What is the approximate area of a 70 decree sector of a circle with a radius of 8 inches
    13·1 answer
  • There are 7 red candies in a pack, 9 blue candies in a pack, and 12 pink candies in a pack. If your wonderful math teacher wants
    11·1 answer
  • Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6
    7·1 answer
  • Round each number to the place of the underlined digit the 4 is underlined in 324,650
    10·1 answer
  • one number from 10 to 20 is written on each card select one card randomly what are the probability​
    12·1 answer
  • Carlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2.
    14·1 answer
  • What is the value of x?<br> A<br> 160°<br> 95"<br> A. 359<br> B. 60°<br> C. 155°<br> D. 250
    5·2 answers
  • 6 ÷ 4 - 2 × 3 PEMDAS
    14·1 answer
  • Help Help me Help me Help me Help me Help me \
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!