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2 years ago

In how many ways can 4 people be chosen and arranged in a straight line if there are 13 people from whom to choose?

Mathematics

1 answer:

solong [7]2 years ago

7 0

Answer:

17160

Step-by-step explanation:

Total number = n = 13

Number required = r= 4

If the number required does not have a specific order then combinations is chosen.

If a specific arrangement is required then permutations is used.

Here a specific arrangement is mentioned therefore

13P4= 17160

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A ball is drawn at random from a box containing 12 red,18

Lubov Fominskaja [6]

Answer:

For a: The probability of getting a red or blue ball is 0.48

For b: The probability of getting a white, blue or orange ball is 0.81

For c: The probability of getting neither white or orange ball is 0.48

Step-by-step explanation:

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

For a:

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

For b:

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

For c:

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

2 years ago

If u = <-7, 6> and v = <-4, 17>, which vector can be added to u + 3v to get the unit vector <1, 0> as the resu

ivann1987 [24]

With u = <-7, 6> and v = <-4, 17>, we have

u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>

We want to find a vector w such that

u + 3v + w = <1, 0>

Subtract u + 3v from both sides to get

w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>

w = <20, -57>

7 0

3 years ago

Write two equations. the first equation should express the area of the square (a as a function of the length (l of a side. the s

Sergeu [11.5K]

Answer:

a = l²

v = s³

Step-by-step explanation:

The area of a rectangle is the product of its length and width. When that rectangle is a square, the length and width are the same. Here, they are given as "l". Then the area of the square is ...

a = l·l = l²

The volume of a cuboid is the product of its height and the area of its base. A cube of edge length s has a square base of side length s and a height of s. Then its volume will be ...

v = s·(s²) = s³

The two equations you want are ...

• a = l²

• v = s³

6 0

2 years ago

Through which angle of rotation does the image of a regular pentagon coincide with its preimage?

STatiana [176]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations

olga_2 [115]

Answer:

$4x+6y=34\\\\4x+3y=25$

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

$4x$

And the cost of 6 soft drinks can be represented with this expression:

$6y$

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

$4x+6y=34$ [Equation 1]

The following expression represents the the cost of 3 soft drinks:

$3y$

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

$4x+3y=25$ [Equation 2]

Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink

5 0

2 years ago