Solve the following and express your answer in scientific notation. (8.23 x 10^9) (9.1 x 10^9)

Alan is arranging 3 different stuffed toys in a row on a shelf. Create a sample space for the arrangement of a teddy bear (T), a

belka [17]

Answer:

In the row, we will have 3 positions.

first position

second position

third position.

Let's use the notation:

(1, 2, 3)

to describe the first, second and third positions respectively.

If we can put 3 elements there (a teddy bear (T), a kitten (K), and an elephant (E))

The sample space will be all the possible elements of the form (1, 2, 3)

For example, the element where the teddy bear is in the first position, the kitten is in the second position, and the elephant is in the third position can be written as:

(T, K, E)

And because a single toy can not be in two different positions, the elements like (T, T, T) are not allowed, so the sample space will be the set of the permutations of:

(T, K, E)

(So we just reorder these elements in all the possible different ways)

That set is:

(T, K, E); (T, E, K); (E, T, K); (E, K, T); (K, T, E), (K, E, T)

Then the sample space will be:

S = {(T, K, E); (T, E, K); (E, T, K); (E, K, T); (K, T, E), (K, E, T)}

A space defined by these 6 elements.

3 0

3 years ago

HELP! PLEASE! which graph represents a function? How do you know?

WITCHER [35]

Any graph will represent a function if it passes the vertical line test. A graph is a function if for any vertical line drawn it touches the graph at only one point.In other words for every x there is only one y value.

In the given graphs if a vertical line is drawn in the graphs A,B it will touch the graph at two points and hence they are not unctions.Option c s a vertical line that is for one x value there are more than one value of y and so is not a function.Option D will represent a function as any vertical line drawn will touch the graph at only one point.

OPtion D.

4 0

4 years ago

Read 2 more answers

I need help on this question

Galina-37 [17]

Give your opinion on

4 0

4 years ago

Read 2 more answers

Please answer my questionnn

Kaylis [27]

Hey There,

This is a subtracting fractions problem.

Solutions-

1. <span>Convert $5 \frac{7}{10}$ to an improper question. You do this by multiplying the denominator and the whole number and adding that number to the numerator. The improper fraction would be $\frac{50}{7}$ </span>

2. Now, subtract $\frac{140}{0}- \frac{15}{10}$

3. The answer to step two should be $\frac{125}{10}$

Thus, the answer should be $\frac{125}{10}=12 \frac{1}{2}$

In conclusion, Jeff drives $12\frac{1}{2}$ miles farther then her sister.

Thank You!

5 0

3 years ago

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zubka84 [21]

The HCF are

3
6
3
12
6
18
8
14
15

This is the common factor that is the highest that a group of numbers can have in common.

1. 6 and 15

factors of 6 = 1, 2, 3, 6

factors of 15: 1, 3, 5, 15

The HCF is the number they have in common = 3

2. 12 and 18

The factors of 12: 1, 2, 3, 4, 6, 12

The factors of 18: 1, 2, 3, 6, 9, 18

The HCF = 6

3. 15 and 24

Factors of 15: 1, 3, 5, 15

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The HCF = 3

4. 24 and 36

The factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The HCF : 12

5. 30 and 48

The factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The HCF = 6

6. 36 and 54

The factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

The hcf = 18

7. 32,40 and 56

The factors of 32: 1, 2, 4, 8, 16, 32

The factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

The HCF is 8

8. 28,42 and 70

The factors of 28: 1, 2, 4, 7, 14, 28

The factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

The HCF = 14

9. 30,75 and 90

The factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 75: 1, 3, 5, 15, 25, 75

The factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The HCF is 15