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
NikAS [45]
3 years ago
10

Consider an experiment where we ask what type of car – either domestic (e.g., Chevrolet, Ford, Chrysler, etc.), foreign built ab

road (e.g. a Toyota built in Japan) or foreign built in the U.S. (e.g., a Toyota built in Kentucky) – and the style (sedan, hatchback, truck or SUV) of the automobiles driven by 20 different people. How many outcomes are in the sample space?
Mathematics
1 answer:
Nostrana [21]3 years ago
7 0

Answer:

12^{20} outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)

Where what it is brackets are the possible categories for that classification.

n1.n2.n3.n4=3.1.1.4=12

We have 20 different people then 12^{20} are the possible outcomes sample space

In the sample space there are 12^{20} outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

You might be interested in
How do you solve this?
harina [27]

Answer:

b.  \sqrt[3]{4x+2}

Step-by-step explanation:

f(x) = ( x^3-2) /4

y = ( x^3-2) /4

Exchange x and y

x = ( y^3-2) /4

solve for y

Multiply each side by 4

4x = 4( y^3-2) /4

4x = y^3 -2

Add 2 to each side

4x+2 = y^3

Take the cubed root of each side

( 4x+2) ^ (1/3) = y^3 ^(1/3)

( 4x+2) ^ (1/3) =y

7 0
3 years ago
What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma
Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

                                                = 20

Probability of getting a blue marble in first draw is

P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}

P(Blue)=\dfrac{8}{20}

P(Blue)=\dfrac{2}{5}

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}

P(red)=\dfrac{4}{20}

P(red)=\dfrac{1}{5}

Now, the probability of getting a blue marble then a red marble is

P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}

P(blue,red)=\dfrac{2}{25}

Therefore, the required probability P(blue, red) is \dfrac{2}{25}.

5 0
3 years ago
Robyn had 8 apples. She ate3/8 of them. What is the number of apples she ate?
Leni [432]
Since she only has 8 apples and she ate 3 of 8, she ate 3 apples.
8 0
3 years ago
Read 2 more answers
Sharon wants to make a graph to show the relationship between the number of tickets sold and the price of tickets sold. She plot
Masteriza [31]

The statement that best describes the graph is “It will not be spread out across the entire coordinate plane because in Step 3 Sharon plotted the independent variable on the y-axis.”

 

To add, graphing is a powerful tool for representing and interpreting numerical data. In addition, graphs and knowledge of algebra can be used to find the relationship between variables plotted on a scatter chart.

4 0
3 years ago
What does the numerator tell us in fraction
Katena32 [7]
For an example 3/5 is like i ate 3 of the 5 apples i had
5 0
3 years ago
Read 2 more answers
Other questions:
  • After a day of shopping , Karen has 4 receipts: $68.89 ,$42.50 $40.75, and $38.50. Estimate the total amount of money the total
    5·2 answers
  • Write the equation of a line through the points (−7,14) and (−21,28) in slope-intercept form
    6·1 answer
  • At a gas station in Centerville, 19 gallons of gas cost $22.75. The same amount of gas at a station in Huntsville cost $26.30. H
    13·1 answer
  • Evaluate the 1/3 of 10.2​
    7·1 answer
  • One section of the reporting period test in history had 35 true or false questions. Maria answered 75% of the questions correctl
    6·1 answer
  • A skateboard shop has 9 skateboards that sell for $107.99 each. Which is closest to the total cost of all the skateboards?
    7·1 answer
  • If k is positive how does the parabola move? if negative?
    11·1 answer
  • 200 is times as much as 2
    5·1 answer
  • Please answer (Only C.)
    15·1 answer
  • True or false. Potential rivals may be more likely to collude if they view themselves as playing a repeated game rather than a o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!