4. Magnus flips a fair coin once and rolls an ordinary dice once.
a) Write down all the possible outcomes.
b) Find the probability that Magnus gets a head and a 3.

Answers

Answer 1

The possible outcomes of the fair coin and the dice is the sample space

The list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}The probability of getting a head and a 3 is 1/12

How to list the possible outcomes

The items are given as:

Coin = 1

Dice = 1

The sample space of both items are:

Coin = {H,T}
Dice = {1,2,3,4,5,6}

So, the list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

The probability of getting a head and a 3

From the above list, there is only one outcome that has a head and a 3 out of 12 possible outcomes

So, the probability of getting a head and a 3 is:

p = 1/12

Hence, the probability of getting a head and a 3 is 1/12

Read more about probability at:

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Related Questions

Write a paragraph about student activism

Answers

Student activism or campus activism is work by students to cause political, environmental, economic, or social change. Although often focused on schools, curriculum, and educational funding, student groups have influenced greater political events.

HURRY!! WILL GIVE BRAINLIEST

Answers

Answer: C

Step-by-step explanation:

Jesse drives his snowmobile 24 miles in 3 hours? What is Jesse's speed in miles per hour?​

Answers

Answer:

8

Step-by-step explanation:

24 divided by 3 = 8

y = 0.89x + 1.14, predict the size of a 4-week old plant.

Answers

Answer:

4.5 inches at 4 weeks

Step-by-step explanation:

See attached image for explanation.

What is the area of a rectangle with width =7 inches and diagonal =25 inches

Answers

Answer:

The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet.

Step-by-step explanation:

Mrs. Worthington purchased single slices of pizza for 24 students. The cost for 24 slices of pizza is $25.65. What is the cost for one slice of pizza? ______


Complete the chart.

Answers

Answer:

Step-by-step explanation:

I am not sure how much to answer. I'll confine myself to the written question.

Equation

24 students 1 0iece  of pizza each = 25.65

 1 piece of pizza = x

Set up a proportion

24 students are given 24 pieces of pizza -- Cost 25.65

1 student 1 piece of pizza = x

Solution

24 / 1 = 25.65/x               Cross Multiply

24x = 1 * 25.65                Divide both sides by 24

24x/24 = 25.65/24

x  = 1.07 / slice.

Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. check all that apply. f(x) = x2 6x 8 g(x) = x2 4x 8 h(x) = x2 – 12x 32 k(x) = x2 4x – 1 p(x) = 5x2 5x 4 t(x) = x2 – 2x – 15

Answers

Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

Given quadratic functions are:

[tex]1) f(x)= x^{2} +6x+8\\2)g(x) = x^{2} +4x+8\\3)h(x) = x^{2} -12x+32\\4)k(x)=x^{2} +4x-1\\5)p(x)=5x^{2} +5x+4\\6)t(x) = x^{2} -2x-15[/tex]

What is the general form of a quadratic equation?

The general form of a quadratic equation is:

[tex]ax^{2} +bx+c=0[/tex]

On comparing [tex]x^{2} +6x+8 =0[/tex] with the general form,

a=1, b=6, c=8

If discriminant D=b²-4ac is greater than zero, the quadratic equation will have two distinct real roots, if D is less than zero, roots will be imaginary.

So, discriminant D for f(x)=0 will be:

[tex]b^{2} -4ac[/tex] = [tex]6^{2} -4*1*8 = 4[/tex] i.e. greater than zero.

So, the quadratic function [tex]f(x) = x^{2} +6x+8[/tex] will have two real distinct

roots.

Similarly, h(x), k(x), and t(x) will have real roots since their discriminants are greater than zero.

Thus, Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

To get more about quadratic equation visit:

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What fraction is missing from the
following equation?
1 -
1-
-
=
+
8
moo
(A)
(В)
+ Amloom-00100
(D.
oloo

Answers

First, we make the denominators of 1/4 and 3/8 the same as the LCM (= 8)

-> 1/4 = 1 x 2 / 4 x 2 = 2/8
-> 1 - ... = 2/8 + 3/8 = 5/8

The missing fraction = 1 - 5/8 = 3/8.

Researchers use the visual cliff experiment to determine whether _____ is innate or learned in infants

Answers

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The correct phrase to fill the blank space is; depth perception

What is the purpose of the visual cliff experiment?

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

Learn more about experiments here:

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Find the of X if triangle DBE ~ triangle ABC. please show work

Answers

Answer:

X= 7 units

Step-by-step explanation:

since the triangles are similar the ratio. of their common sides will be equal so,

BE/BD= BC/BA

(4X-8)/18= 45/22.5

4X -8 = 18×2

4X= 36-8

X= 28/4

X= 7

BD/AB=BE/BC18/18+22.5=4x-8/4518/40.5=4x-8/4540.5(4x-8)=8104x-8=204x=28x=7

12. Find the perimeter of the isosceles triangle. ​

Answers

Answer:

Step-by-step explanation:

First find the length of the two equal sides. Use Pythagoras.

c^2 = a^2 + b^2

c = ?

a = 7

b = 1/2 48 = 24

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625                Take the square root of 625

√c^2 = √625

c = 25

Both of the equal sides = 25

Perimeter and answer = 25 + 25 + 48 = 98

Answer: 25 + 25 + 48 = 98

Step-by-step explanation:

ok ok ok ok ok ok ok ok ok

Answers

Answer:

[tex]x + 1350 \geqslant 1800[/tex]

Step-by-step explanation:

[tex]x + 1350 \geqslant 1800 \\ \\ x = 450 \\ \\ 450 + 1350 \geqslant 1800 \\ \\ 1800 \geqslant 1800 \\ \\ x + 1350 \geqslant 1800 \: (ans)[/tex]

Answer:

The second option is correct.

Step-by-step explanation:

Which value for x will result in the greatest relative frequency given discrete random variable X, when X∼B(4,110)? x=5 x=1 x=0 x=3

Answers

The greatest relative frequency is the relative frequency that gives the highest probability

The greatest relative frequency given discrete random variable X, when X∼B(4,110) is  x=3

How to determine the greatest relative frequency

For a discrete random variable, the smaller the value of the variable, the higher its relative frequency.

This means that:

A variable x = 0 would have a greater relative frequency than a variable x =  n, where n > 0

This means that, the greatest relative frequency given discrete random variable X, when X∼B(4,110) is  x=3

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Alexa is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Alexa is riding for 9 miles? How much would a taxi ride cost that is mm miles long? what is the eaquation for m miles

Answers

Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

Will give brainliest!!

Can someone please explain how i do problems like these my teacher makes no sense

Select the correct answer.
Which expression is equivalent to the given expression?
(12g^2h^7)(3g–^2h-4)

A. 36gh^3

B. 36h^3

C. 36/g^4h^28

D. 38/h^3

Answers

Answer:

C

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Emma wants to estimate the percentage of people who use public transportation in a city. She surveys 140 individuals and finds that 62 use public transportation.

Find the confidence interval for the population proportion with a 99% confidence level.

Answers

Answer:

X=100 number of individuals who use public transportation

n =140 number of people surveyed

The estimated proportion is given by:

And that represent 71.4%

Step-by-step explanation:

A rectangular swimming pool with length b and width h is surrounded by a walkway that is 3 feet wide. Which equation below could be used to find the area of the walkway?

Answers

The equation that can be used to find the area of the walkway is A = 3h+3b+9.

What is a rectangle?

A rectangle is a plane shape that has pair of opposite sides equal and parallel.

To find the equation that could be used to find the area of the walkway, we use the formula below.

Formula

Area of the walkway(A) = Area of the swimming pool and the walk- area of the swimming poolA = [(h+3)(b+3)]-(hb)A = hb+3h+3b+9-hbA = 3h+3b+9.

Hence, The equation that can be used to find the area of the walkway is A = 3h+3b+9

Learn more about rectangles here: https://brainly.com/question/17297081

Use a protractor to measure the following angles and classify each angle as obtuse, right, acute, straight, or reflex.

Answers

Answer:

PMQ=Acute, QMB=Acute, BMR=Acute, BMR=Acute, AMR=obtuse, PMA=acute.

AMB=straight???????

Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.


(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95

Answers

Answer:

B, C, E

Step-by-step explanation:

Tips = $20 × 15%

          $20 × [tex]\frac{15}{100}[/tex]

          $3

Total = $20

Without tips = $17

Things that can buy for $17 are B, C, E

what is the answer to this question I could really do with some help

Answers

-------------------------------

12x+34>140 solve for x

Answers

Answer:

x>

.

x>\frac{53}{6}

Step-by-step explanation:

12x>140−34

2 Simplify 140-34140−34 to 106106.

12x>106

12x>106

3 Divide both sides by 1212.

x>\frac{106}{12}

Please help me out I've been struggling for 3 days now.

A contractor estimates he will need 18 sheets of drywall and 65 square feet of tile to remodel a bathroom. He actually uses 14 sheets of drywall and 42 square feet of tile. To the nearest percent, what is the difference in the percent errors of the estimates? Show your work.

Answers

37% difference thank me later

Triangle ABC and triangle DEF are similar.

Which proportion must be true?

Answers

Answer:

G is the true proportion in ∆ABC and ∆DEF

Answer:

G, 4/6 = x/7

Step-by-step explanation:

This is because the two pairs x/7 and 4/6, are corresponding to each other and are formatted in the right order.

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answers

Problem 5

Answer: 300 square inches

------------------

Work Shown:

a = 15

b = unknown

c = 25

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 - 225

b^2 = 400

b = sqrt(400)

b = 20

The rectangle is a = 15 by b = 20 to get an area of ab = 15*20 = 300 square inches.

=======================================================

Problem 6

Answer:

Part A) The area = 48 square inchesPart B) The area = 16*sqrt(2) square inches

------------------

Work Shown:

Part A)

area = base*height/2

area = 8*12/2

area = 96/2

area = 48

Part B)

a^2 + b^2 = c^2

8^2 + b^2 = 12^2

64 + b^2 = 144

b^2 = 144 - 64

b^2 = 80

b = sqrt(80)

b = sqrt(16*5)

b = sqrt(16)*sqrt(5)

b = 4*sqrt(5)

Therefore,

area = base*height/2

area = a*b/2

area = 8*4*sqrt(5)/2

area = 16*sqrt(2)

=======================================================

Problem 7

Answer:  36 cm

------------------

Work Shown:

area = 81

area = x^2

x^2 = 81

x = sqrt(81)

x = 9

The side lengths of the square are 9 cm each.

P = perimeter

P = 4x

P = 4*9

P = 36

=======================================================

Problem 8

Answer:   12.5*sqrt(15)

------------------

Work Shown:

The horizontal base of 10 is cut in half to get 5.

a = 5 = horizontal side

b = unknown height

c = 20 = hypotenuse

a^2 + b^2 = c^2

5^2 + b^2 = 20^2

25 + b^2 = 400

b^2 = 400 - 25

b^2 = 375

b = sqrt(375)

b = sqrt(25*15)

b = sqrt(25)*sqrt(15)

b = 5*sqrt(15)

area = base*height/2

area = a*b/2

area = 5*5*sqrt(15)/2

area = 12.5*sqrt(15)

45 is 3/4 of what number?

Answers

Answer:

See below, please.

Step-by-step explanation:

[tex]45 \div ( \frac{3}{4} ) = 60[/tex]

Hence, the number is 60.

Answer:

60

Step-by-step explanation:

¾ of X is 45

what is X!???

4/3×45 = 60

what is -11/40-0.278 in decimal form

Answers

Answer:

-0.553

Step-by-step explanation:

-11/40 = -0.275

-0.275-0.278 = -0.553

help find x for this question

Answers

sooooo x=3 because first you need to cancel out two on the left side and what you do to one side you do to the other so you add two to 52 now you’re left with 18x=54 so now you must divide 18 on both sides to get x by itself and then you’re left with 3 :)

The rectangular floor of a classroom is 38 feet in length and 30 feet in width. A scale drawing of the floor has a length of 19 inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answers

68

The scale drawing is dividing everything by 2. So, the length is 19, and the width is 15. Then, you add 19 and 15 twice. So, the answer is 68.

3. Considering the following two-way frequency table:
What percentage of students picked math as their favorite subject?

41%

59%

18%

100%

Answers

Answer:

41%

Step-by-step explanation:

It is 41% because it says 0.41 people like math and converting decimals to percents it would be 41% because 0.41 is decimal form for 41%

But don't forget to add my vote for favorite subject is ma ma ama ma ma ma ma ma ma ma ma math.

Hope it helps have a great afternoon:)

Please solve this equation

Answers

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139        -139

x = 41°, ∠2 = 41°

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