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. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.

Answers

Answer 1

Answer:

Kindly check attached picture for sample space.

Step-by-step explanation:

Sample space, S

S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

The tree diagram for all 18 elements in the sample space can be found in the picture attached below :

a.)

Event A ; number on die < 3

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

b.)

Event B ; 2 tails occur :

B = {1TT, 3TT, 5TT}

QUESTIONS B, C and E are not well formatted

An Experiment Consists Of Tossing A Die And Then Flipping A Coin Once If The Number On The Die Is Even.

Related Questions

A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an orange?

Answers

Answer:

2/5

the denominator is five because it says that there is five equal portions of the spinner. The numerator is too because you are trying to find the odds of getting two colors

Mila has 9 buttons. Mia has 225 buttons. Mia has how many times as Mila?

Answers

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students

Answers

Answer:

c) N(.47, .09)

Step-by-step explanation:

Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"

Pο = 47% = 0.47

n = 30

Mean = Pο = 0.47

S.D = Pο(1-Pο) / n

S.D = 0.47 * 0.53 / 30

S.D = 0.09

Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09

For what value of x do the expressions 2x +3 and 3x -6 have the same value?

Answers

Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRST

The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.

(Hint: use the perimeter to find the length of the side)

Answers

Answer: Down Below

Step-by-step explanation:

Surface Area(rectangular prism) = 192 cm^2

Area(square) = 16cm^2

Area(square) = LW or S^2

Area = 16cm^2

Question 11

A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged

rectangle?

Answers

Answer:

The perimeter of the enlarged rectangle is 36 inches.

Step-by-step explanation:

Perimeter of an enlarged figure:

To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.

In this question:

Perimeter of the original rectangle: 12 inches

Scale factor: 3

Perimeter of the enlarged rectange:

12*3 = 36 inches

I need to find the x of the triangle.

Answers

133 because 35+12=47 180-47=133

tom and ben ordered a pizza for lunch. they each ate 1/3 of the pizza. how much pizza was eaten and how much pizza was left?

Answers

Answer:

they ate 1/3 and thrte is 2/3 left

Step-by-step explanation:

subtraction

One-third of the pizza will be left

Proportions and Ratios

Let the total amount of pizza eaten be "x

Amount of pizza ate by Tom is 1/3 xAmount of pizza ate by Ben is 1/3 x

Total pizza ate = x/3 + x/3

Total pizza eaten = 2x/3

Amount of pizza left = x - 2x/3

Amount of pizza left = (3x-2x)/3

Amount of pizza left = x/3

Hence one-third of the pizza will be left

Learn more on ratio and proportion here: https://brainly.com/question/21602143

I need help please...

Answers

Answer:

16^2+32cd+16d^2

Step-by-step explanation:

(4c×4d)(4c+4d)

16c^2+32cd+16d^2 use the foil method

2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?​

Answers

Answer: 4 feet.

Step-by-step explanation:

Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3

Proportion from baby elephant to its shadow = x : 12ft

These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.

In order to solve this problem, we need to cross multiply. (Attached image)  

So, 3x = 12.

By solving this equation, we find that x = 4

The height of the baby elephant is 4 feet.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.


2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.


3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.


4. What is the measure of ∠1? Explain.


Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.


6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answers

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

Good luck!

Step-by-step explanation:

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Answers

B is the answer dear

3) An air conditioner has a marked price of $350. It is placed on sale at 12% off. What are the
discount and the sale price?
Show work please !

Answers

Answer:

12/100 = x/350

4200 = 100x

4200/100 = 100x/100

42 = x

350 - 42 = 308

the sale price is $308

the discount is $42

1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of

interest is Sandra actually paying? (use the formula)

Answers

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

[tex]I = (1 + \frac{r}{n})^{n}[/tex]

In which r is the interest rate and n is the number of compoundings during an year.

The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that [tex]r = 0.07125, n = 12[/tex]

So

[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]

As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%

She is actually paying a rate of 7.36% of interest.

What is the percent of decrease from 1,000 to 90?

Answers

Answer:

91%

Step-by-step explanation:

Hope I helped:)

91% because percent decrease = starting value-final value/starting times 100

What is the area of the square?

Answers

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10​

Answers

Answer:

if I am not mistaken.. the median would be 9 and the the mean is also 9.

Step-by-step explanation:

first you order the numbers from least to greatest and the find with is the middle number to find the median.

6,7,8,8,8,9,10,12,13 (answer: 9)

To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.

1) 6+7+8+8+8+9+10+12+13= 81

2) 81 ÷ 9 =9

Answer:

Mean: 9, Median: 8 Mode: 8

Step-by-step explanation:

MEAN:   The AVERAGE total of all the values divided by the numbers of values.

6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81        81/9 (set of #'s)= 9

MEDIAN:  The number in the MIDDLE of the list of values.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, the middle value is 8

MODE:   The number that appears the most.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, 8 appears 3 times.

Hope this helps!

Describe the characteristics of metal in which metal converts into sheet.​

Answers

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:


Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST

Answers

Answer:

hi

Step-by-step explanation:

Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.

The candy is $1.85 per pound so you would multiply that by 2 4/5 which equals 5.18. 10 - 5.18 = 4.82
Hope this helps!

(I SUCK AT MATHS)

If 15 metres of rope costs £22.50, how much would 12 metres cost?

Answers

18 pounds

Take 22.50. Divide by 15
You get 1.5

Then 12 * 1.5 = 18

Answer:

$18

Step-by-step explanation:

22.50×15=1.50

1.50×12=18

Please help me with this question

Answers

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4

Answers

Answer:

-18 x 4 = -72

Step-by-step explanation:

a negative times a positive is a negative number.

7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"

Answers

Answer:

C

Step-by-step explanation:

Write and equivalent expression for the following expression: ab

Answers

Answer:

ab = a(b)

Step-by-step explanation:

cuz u can just add parentheses

WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY

Answers

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

help me pls i need help

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

Explain the difference between (-5)squared and -5squared.

Answers

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Find a solution to the linear equation 13x+y=26

Answers

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15

Find the experiment probability for the following
a. Open side up:

b. Closed side up:


c. Landing on its side:

Answers

a. Open side up: 3/25
b. Closed side up: 7/25
c. Landing on its side: 15/25 or 3/5
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