An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Use the notation "4H", for example, to denote the outcome that the die comes up "4" and the coin comes up "heads", and "3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin.

a. Construct a tree diagram to show the 18 elements of the Sample Space S.
b. List the elements corresponding to the event A that a number less than 3 occurs on the die.
c. List the elements corresponding to the event B that two tails occur.
d. List the elements corresponding to the event C that a head and tail occur.
e. List the elements corresponding to the event A'.
f. List the elements corresponding to the event A' ∩B.
g. List the elements corresponding to the event A ∪ B.
h. Draw a Venn diagram to illustrate events A, B, and C.
i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

Answer:

540 megabytes

Step-by-step explanation:

We will first need to find out how much space a singular song will take up. We will do this by the storage taken up (884) by the number of songs she has:

884 / 221 = 4 mb taken up per song

Then we want to find out how many megabytes 135 of these songs take up, so we will multiply the mb taken up per song (4) by the number of songs we want to find (135):

4 x 135 = 540 megabytes

Edit: made a mistake in my original answer, apologies!

Answer:

Step-by-step explanation:

Given expression:

Simplify:

Correct choice is D

Answer:

D. 126y²

Step-by-step explanation:

Step-by-step explanation:

first we will take comman then

[tex] \frac{4}{5} - \frac{2 \times 5}{5} [/tex]

then 4 - 10

it will be

[tex] \frac{6}{5} [/tex]

or

[tex]1 \frac{1}{5} [/tex]

i hope it will help

Answer:

Solution is [tex]\frac{-6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} - 2[/tex]

Set common denominators

[tex]\frac{4}{5} - \frac{10}{5}[/tex]

Subtract

[tex]\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}[/tex]

How to solve your problem:

2a+13−0+65b

Simplify:

1. Add the numbers -

2a+13+0+65b = 2a+13+65b

2. Rearrange terms

2a+13+65b = 2a+65b+13

Solution: 2a+65b+13

The answer is B.

Answer:

D

Step-by-step explanation:

if to substitute values of n=1;2;3;4;5 into

[tex]a_n=n^2-5[/tex]

then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.

It means the answer {-4, -1, 4, 11, 20,...} is correct.

Answer:

it is probably a right triangle

Step-by-step explanation:

right angle because 11 is 7 beside and 5 under

Answer:

i think its a right angle, not sure tho

Step-by-step explanation:

Answer:

option 3 is correct

Step-by-step explanation:

because ....

It has to be Option 3/C

Exlaination: I have done this problem before and got it right.

Answer:

The Void

Step-by-step explanation:

no one can help you now

Answer:

As the givens set μ has 24 elements.

Therefore,

Step-by-step explanation:

Given

μ = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus, the set μ is:

μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

We know that cardinality of the set is the number of elements in a given set.

As the givens set μ has 24 elements.

Therefore,

Answer:

10

Step-by-step explanation:

10 squared is 100

Answer:

one angle can be 50 degrees and the other angle will be 40 degrees

Step-by-step explanation:

complementary is when 2 angles add up to 90 degrees

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

Answer: 1

Step-by-step explanation:

[tex](0.1)(9.8)+2(0.1)^2\\0.98+0.02=1[/tex]

Answer:

D

Step-by-step explanation:

just took that test

Answer:

The width of the walkway is of 12.86 feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

A rectangular garden has a width of 10 feet and a length of 14 feet.

So the area of the rectangular garden is of 10*14 = 140 square feet.

The area of the garden and the walkway together are 320 square feet.

So the area of the walkaway is of 320 - 140 = 180 square feet.

What is the width of the walkway

It has the same length of the garden, of 14. So

[tex]14w = 180[/tex]

[tex]w = \frac{180}{14}[/tex]

[tex]w = 12.86[/tex]

The width of the walkway is of 12.86 feet.

Answer:

x² - x + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(6x² - 10x + 9) + (-5x² + 9x - 5)

Step 2: Simplify

Answer:

25 3/5

Step-by-step explanation:

i think

Answer:

7/2+35/4+89/12+6/5=210+525+445+72/60=1252/60=313/15

Step-by-step explanation:

Answer:

y=63

Step-by-step explanation:

Start off by adding 13 to both sides:

1/3y-13=8

     +13 +13

Now you have this:

1/3y=21

Now multiply each side by 3/1 (3) to get your answer:

(3) 1/3y=21 (3)

Y=63

Check your answer:

63/3=21 21-13=8

I hope this helps, and have a great day! <3 :)

Answer:

Least: [tex]\sqrt[6]{64}[/tex]

2nd least: ([tex]\sqrt{64}[/tex])²

2nd greatest:  [tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex]

Greatest:  1/64^-2

Step-by-step explanation:

[tex]\sqrt[6]{64}[/tex] = 2

([tex]\sqrt{64}[/tex])² = 64

[tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex] = 9 · 9 = 81

1/64^-2 = 4,096

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

Number of nickels 120, number of dimes 60 and total number of coins 180.

Given that, Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

N = D + 43 ..........(1)

D' = D - 17 ..........(2)

N = 2×D' = 2×(D - 17) ..........(3)

Set equations (1) and (3) equal to each other and solve for D:

D + 43 = 2×(D - 17)

D + 43 = 2D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins

Therefore, number of nickels 120, number of dimes 60 and total number of coins 180.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

d = 50h

d = distance traveled

h = hours

Step-by-step explanation:

Answer: 2.2876792e+13

Step-by-step explanation: calculator

The given question is incomplete. The complete question is:

A force of 90 Newton's is applied to a [tex]20cm^2[/tex] surface. The force applied is then increased by 5 Newton's and the surface is increased by [tex]5cm^2[/tex]. What percentage does the outcome decrease by

Answer: The outcome decreases by 15.5 %

Step-by-step explanation:

Pressure is defined as the ratio of force per unit area.

[tex]Pressure=\frac{Force}{Area}[/tex]

Case 1: [tex]P_1=\frac{90N}{20cm^2}=4.5Ncm^{-2}[/tex]

Case 2: [tex]P_2=\frac{95N}{25cm^2}=3.8Ncm^{-2}[/tex]

Decrease in pressure = [tex]P_1-P_2[/tex] = [tex](4.5-3.8) Ncm^{-2}=0.7Ncm^{-2}[/tex]

Percentage decrease = [tex]\frac{0.7}{4.5}\times 100\%=15.5\%[/tex]

Thus the outcome decreases by 15.5 %

Answer:

it would be 2 right by the question mark

Step-by-step explanation:

so 2 is a number the n is going to be a number and then that leaves the last 2 left