An experiment consists of first rolling a die and then tossing a coin.
(a) List the sample space. {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(3, H), (3, T), (4, H), (4, T)}
(b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
P(A) =
(c) Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.
A. Events B and C are mutually exclusive because they have different probabilities.
B. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.
C. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first.
D. Events B and C are mutually exclusive because they are dependent events.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

I think letter C the die is consisting of 6 number 1,2,3,4,5,6 and the coin H,T. The probability of tossing a coin are only two while rolling a die has six probability that it will land either three or fou.r


Related Questions

Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?

Answers

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent

Answers

SAS is the postulate that establishes the congruence of these two triangles.

What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.

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Evaluate the expression when y = -6

Y2+5Y-3

Answers

Answer:

-45

Step-by-step explanation:

(-6)2+5(-6)-3=-45

Answer:

Solve the equation for  Y  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula. Y = − 5 − √ 97 + 24 y 12 Y = − 5 + √ 24 y + 97 12

(2) Janie has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number of grapes. Mark all that apply. A) 8 to 5 B) 8:13 C) 8/13

Answers

Answer:

B

Step-by-step explanation:

Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.

8 red grapes to 13 total grapes=

8:13 or 8/13

42 % of what number is .21

Answers

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest

Answers

Answer: The probability is 2/5.

Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.

The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].

Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.

She will randomly choose 1 box from the box.

What is Probability?  

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Now,

Total number of bows = 5 + 1 + 4 =10

Number of purple bow = 4

Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]

                                                   =   [tex]\frac{4}{10}[/tex]

                                                   =[tex]\frac{2}{5}[/tex]

So, probability to choose purple bow is 2/5.

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Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. What percent of the students from the high school go on to college

Answers

Answer:

54% of the students from the high school go on to college

Step-by-step explanation:

We have these following percentages:

30% of the students from a high school face a disciplinary action of some kind before they graduate. Of those, 40% go on to college.

70% do not face action, and of those, 60% go to college.

What percent of the students from the high school go on to college?

Sum of 40% of 30%(face disciplinary action) and 70% of 60%(do not

face disciplinary action). So

[tex]0.4*0.3 + 0.7*0.6 = 0.12 + 0.42 = 0.54[/tex]

54% of the students from the high school go on to college

Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT



Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?

Answers

Answer:

Is the table proportional? Explain why or why not

Step-by-step explanation:

No, because all the ratios of y to x are not equal.

If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?

Answers

9514 1404 393

Answer:

  $4.47 per pound

Step-by-step explanation:

Your cost is ...

  $1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb

PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)

Answers

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

x is the number of questions on the test.

42/x = 70%

x = 42/70% = 42/0.70 = 60

11
12
What is that fraction decimal

Answers

Answer:

0.91666666666...

0.9166 I’m not sure if this is correct though

NEED HELP NOW!!
Does this graph show a function? Explain how you know
A. No; there are y values that have more than one x value.
B. No, the graph fails the vertical line test.
C. Yes; there are no yvalues that have more than one x-value.
D. Yes; the graph passes the vertical line test.

Answers

Answer:

i am not sure to my answer

my answer is letter D

Answer:

yes answer is d.. this is clear

PLEASE help, i have limited time

Answers

Answer:

standard form: = -3x7 + y^2 = 12 - x^2

Step-by-step explanation:

plzz tell me answer of 8 (b) question I can't get the right answer!!!​

Answers

done

plz mark me brainliest ok

plz follow me

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's shares per month

Answers

Answer:

what hcomp10 said he is right

Step-by-step explanation:

Answer:

(100-m)+(45+n)

Step-by-step explanation:

100 -n and 45-m. You would have to add them together to get the amount of the shares.

Jai bought a helmet and a pair of skates.
The helmet cost £40.
He sold both items for £172.
Jai made a 135% profit on the cost of the helmet and a 60% profit on the total cost.
What was the percentage profit on the skates?
Give your answer to 1 decimal place.

Answers

Answer:

it is %224 profit on the skates

Step-by-step explanation:

%224 profit is the answer

there are 650 fruits in a fruit stand, which 208 are mangosteen. how many percent are mangoesteen?​

Answers

Answer:

32%

Step-by-step explanation:

Given data

Total number of fruits = 650

number of mangosteen= 208

The pecentage of mangosteen is

= 208/650*100

=0.32*100

=32%

Hence the perncetage of  mangosteen is 32%

In the figure below, angle X is 35 degrees. What is the measure of angle Z?

Answers

Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

Solve for m:

14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2

Answers

Answer:

D. m = 5/2

Step-by-step explanation:

35 / 14 = m

35 / 14 = 2.5

2.5 as a fraction is 5/2

The equivalent value of m is given by the expression m = 5/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:

14m/14 = 35/14

Simplifying, we get:

m = 35/14

On further simplification of the equation , we get

m = (35/7)/(14/7)

m = 5/2

Hence , the equation is m = 5/2.

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Diego drank x ounces of juice. Lin drank 1/8 less than that.

Answers

Answer:

Step-by-step explanation:

What is 3 meters converted to potential energy

Answers

Answer:

4 meters

Step-by-step explanation:

A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?

Answers

Answer:

Step-by-step explanation:

Large sheet:

 Length = 9 inches

 Width of large sheet = area ÷ length = 5 inches

 ratio of length to width = 9:5

Small sheet:

 Length = 4 inches

 Width = 3 inches

 ratio of length to width = 4:3

9:5 ≠ 4:3

The sheets are not similar

The large sheet and small sheet are not similar because they have different dimensions.

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.

Let's find out the area of small sheet which will be :

A = L × B

A = 4 × 3

A = 12 inches²

Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.

Let's check if dimensions are same.

Width of large sheet will be :

A = L × B

45 = 9 × B

or

B = 5 inches

So , dimensions are also not equal.

Therefore , the large sheet and small sheet are not similar because they have different dimensions.

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In the equation y = mx + b, the "b" is the y-intercept

True
False

Answers

Answer:

False

Hope my answer helps you pls mark me as brainiest :)

Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive

Answers

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.



The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to carpet the shape?

| 3.5 m

8.1 m

It will cost $ type your answer...

to carpet the shape

Answers

Answer:

It will cost $79.38 to carpet the shape

Explanation:

Find the diagram of the parallelogram attached

Area of a parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1*3.5

Area of a parallelogram  = 28.35m²

Since 1m² = $2.80

28.35m² = x

Cross multiply

x = 28.35 * 2.80

Hence it will cost $79.38 to carpet the shape

What is the slope for a linear function that includes the points (2, -1) and (1, 1).
A. 2.
B. -2
C. 1/2
D. -1/2




PLZ HELP HURRY

Answers

B

If you need an explanation let me know!

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

f(x) = 4+9x, find f(-3)

Answers

Answer:

R3EWS.

Step-by-step explanation:

Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right

Answers

1.We have to find equivalent expression of ⇒ 54 x+18

These are the equivalent expression of

=3×3×3×2× x+3×3×2

=3×3×2×(3 x+1)

=18×(3 x+1)

2.⇒Equivalent expression of→ 18×(3 x-1)

=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)

=54 x-18

3.⇒Equivalent expression of→6×9 x+ 6×1

                 =54 x +6

⇒Option B

6×9 x +6×3-------equivalent expression of →54 x+18

⇒Option C

54 x+6-------equivalent expression of →6×9 x+ 6×1

⇒Option D

3×(18 x+2)------equivalent expression of →6×9 x+ 6×1

⇒Option F

9×6 x -9×2-------equivalent expression of → 18×(3 x-1)

(credit to: not me-)

Answer:

wrong question i'm sorry, but I can't delete this lol so here's my question :(

Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.

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