Fair Spinner A has four equal sections labelled 1,2,3,4.
Fair Spinner B has four equal sections labelled 2,3,4,5.

Each Spinner is spun once and the numbers added.
Work out the probability that the total is 5 or less.
Give your answer as a Fraction.

Fair Spinner A Has Four Equal Sections Labelled 1,2,3,4.Fair Spinner B Has Four Equal Sections Labelled

Answers

Answer 1

Answer:

3/8

Step-by-step explanation:

The spinner A has 4 possible values:

1, 2, 3, 4

The spinner B has 4 possible values:

2, 3, 4, 5

The possible pairs we can have are:

(1,2), (1,3), (1,4), (1,5),

(2,2), (2,3), (2,4), (2,5),

(3,2), (3,3), (3,4), (3,5),

(4,2), (4,3), (4,4), (4,5).

The sum of these pair of values are:

3, 4, 5, 6,

4, 5, 6, 7,

5, 6, 7, 8,

6, 7, 8, 9.

So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8


Related Questions

What is the way to best choose the answers

Answers

The B option is the correct answer
I think opinion b is the correct answer if I am wrong please tell me

you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?

Answers

Answer:

Your profit would be 32.10$

Step-by-step explanation:

You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.

Which of the following statements is true for inverse functions ƒ(x) and g(x)?

Question 1 options:

A) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

B) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0

C) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1

D) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)​

Answers

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:

Jane purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Jane used bet card only once to make a long distance call. If the remaining credit on her card is $28.24, how many minutes did her call last?

Answers

Answer:

she was talking for 11 minutes

Step-by-step explanation:

take 30$ and subtract the money she has left. take that total and divide by 0.16$

left with .11 which is 11 minutes

what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?

Answers

Answer:

Step-by-step explanation:

devide both sides by 4 it will be:

x^2 +3x -3/2 = 0

Find the length of the diagonal of an 8cmx 6cmx 10cm rectangular prism. Round to the nearest tenth. (HELP PLEASE!!)

Answers

Answer:

14.1 cm

Step-by-step explanation:

first find the base diagonal :

base di = Square root (8^2 + 6^2) = 10cm

so,

diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)

In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?

A. 8°

B. 9°

C. 16°

D. 18°

Answers

Answer:

C

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

#platolivesmatter

help please! ill mark brainliest

Answers

Answer:

A=150ft^2

Step-by-step explanation:

A=(b1+b2)/2*h

A=(15+10)/2*12

A=25/2*12

A=25*6

A=150ft^2

Area of trapezoid formula: A = h(b1+b2/2)

A = 12(10+15/2)

A = 12(25/2)

A = 12(12.5)

A = 150

Therefore, the area of the trapezoid is 150ft²

Best of Luck!

-3(x + 4) = 6(-x - 1)

Answers

Answer: x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3(x+4)=6(-x-1)

1. Distribute

-3x+(-12)=-6x-6

-3x-12=-6x-6

3x-12=-6

3x=6

x=2

Analyze the diagram below and complete the instructions that follow.Find cos 45°

Answers

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

What are the coordinates of point L?

Answers

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet.  That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

I need help in fractions​

Answers

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Observe a sequência de figuras a seguir.
Considerando que a lei de formação permanecerá a mesma, a figura que ocupará a posição 53a na sequência dada, será:

Answers

Answer:

C) Equal to the figure in position 3.  

Step-by-step explanation:

Assume the sequence of figures is like the one below.

The pentagons differ in the number of stars in the sequence:

1, 2, 3, 4, 5, 1, 2, 3, 4, 5…

The sequence repeats after the fifth term.

To find the 53rd term, find the remainder for 53 ÷ 5.

53 ÷ 5 = 10, with a remainder of 3.

This tells you there are ten complete sequences (50 numbers), and three more numbers.

The 53rd term is 3, so

The figure that will occupy position 53 in the sequence is equal to the figure in position 3.

Find the area of the shape shown below

Answers

The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.

12-3 ( x-8 ) simplify

Answers

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36

A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.


Determine the probability that the card is an E

Answers

Answer: 1/10 or 10%

Step-by-step explanation:

The required probability that the card is an E will be 0.1%.

What is probability?

A Probability can be defined as the ratio of favorable outcomes to the total number of events.

P(E) = Number of favorable outcomes / total number of outcomes

A set of cards has sample =  U E A R Q H C H L A

Total number of sample s(n) = 10

We need to find the probability that the card is an E

For probability for  E,

  p(E)= 1 / 10 = 0. 1%

Thus, the required probability that the card is an E will be 0.1%.

Learn more about probability here:

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Value of x explain how you found the value of x

Answers

Answer:

A) 25

Step-by-step explanation:

Set the ratios. Place the similar sides equal to each other.

Sides:

AB/CB = XY/ZY

Plug in corresponding numbers to the corresponding sides:

50/40 = x/20

Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:

(50/40)/(2/2) = 25/20

25/20 = x/20

x = 25

A) 25 is your answer.

~

Answer: A 25

Step-by-step explanation:



The perimeter of a​ standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions.

Answers

The length is 10 and the width is 8

Answer and Step-by-step explanation:

The length is 10 and the width is 8

Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish. The expression G+(D+F)G+(D+F)G, plus, (, D, plus, F, )describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+F(, G, plus, D, ), plus, F to represent the same quantity. Match each amount in the situation with the expression that represents it. For reference: The dog is an animal, and he needs to go outside to walk. The garden is a bunch of plants (not an animal), and it is outside. The fish is an animal, and she lives in a water tank inside.

Answers

Answer:

The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)

Step-by-step explanation:

We are told that:

D = number of minutes it takes to walk his dog

G = number of minutes it takes to water the garden; and

F = number of minutes it takes to feed his fish

We are required to match the given situations to its respective expressions:

Situation

The total Minutes of the Inside tasks.

The total Minutes of the Outside tasks.

The total Minutes of the tasks involving animals.

The total Minutes of the tasks not involving animals.

Expression

D+F

G+D

G

F

Note

G and D are outside tasks while F is an inside task.D and F involves animals while G does not.

Therefore, the match of the situation and respective expressions are:

The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?​

Answers

Answer:

£40

Step-by-step explanation:

£30 represents 3 parts of the ratio that Fiona got.

Divide £30 by 3 to find the value of one part of the ratio

£30 ÷ 3 = £10 ← value of 1 part of the ratio

They won £30 + £10 = £40

HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!

Answers

Answer:

First, you work out the 3 and Tail from the table: T3: 62

Then you add up all values from the table:

S = 43 + 49 + 54 + 65 + 71 +62 = 344

Then the probability of next toss and spin is 3 and Tail is:

P = T3/S = 62/344 = 0.18

Help!!! multiple choice!

Answers

5.C

6.A

Hope this helps and is correct

A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.

Answers

Answer:

$5,671.84

Step-by-step explanation:

To find the third side, we can use the law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(theta)

c^2 = 157^2 + 157^2 - 2*157*157*cos(65)

c^2 = 28463.7649

c = 168.71 feet

The perimeter of the playground is:

P = 157 + 157 + 168.71 = 482.71 feet

If each foot costs $11.75, the final cost is:

Cost = 482.71 * 11.75 = $5,671.84

is the square root of .036 a rational number?

Answers

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Learn more about distance here:

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your garden has a perimeter of 36 feet. what is the length of missing side.​

Answers

Answer:

I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.

Hope this helped!

Can I get brainliest?

winnie and kevin like to create their own triathlon courses to challenge each other. last weekend, winnie created a course that included a swim of 5/4 kilometers , a bike ride of 95/4 kilometers and a run of 21/4 kilometers. how long was the course winnie created?

Answers

Answer:

121/4

Step-by-step explanation:

no need

Length of the track = 121/4 kilometers

What is length?

Length is used to measure the distance between two points. Length is the longest dimension of a figure and it shows how long the given object or figure is. It is expressed in linear units like meters, centimeters, inches, and so on.

Given,

swimming course length = 5/4 kilometers

Bike track length = 95/4 kilometers

Running track length = 21/4 kilometers

Total length of the course = 5/4 + 95/4 + 21/4

                                            = (5 + 95 + 21)/4

                                            = (100 + 21)/4

                                            = 121/4 kilometers

Hence, 121/4 kilometers is the length of the course.

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The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807

HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ

Answers

Answer:

B. 43.3

Step-by-step explanation:

Find the area of one of the triangles:

[tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *5*4.33=10.825[/tex]

10.825*4=43.3

Answer:

B.) 43.3 square centimetres

Step-by-step explanation:

The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:

[tex]A=\frac{1}{2} bh[/tex]

Insert the values:

[tex]A=\frac{1}{2} *4.33*5[/tex]

Simplify:

[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]

Multiply the area of one triangle by 4:

[tex]10.825*4=43.3[/tex]

The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]

:Done

Find the volume of the figure. Use 3.14 for pi.

Answers

Answer:

10082.36cm²

Step-by-step explanation:

The formula for volume of a cone: V = [(3.14) r²](h/3)

Steps:

1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm

2. Find the value of the height: 31cm

3. Plugin: [(3.14) 13²] (31/3)

Solve for the volume of the cone:

a) 13² = 169

b) 169(pi) = 530.66

c) 530.66 (31/3) = 530.66 (10.3333)

Volume of cone: 5483.31

The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]

Steps:

1. Find the value of the radius: 13cm

2. Solve for the volume of the hemisphere

1. 13x13x13 = 2197

2. 2197 (3.14) = 6898.58

3. (4/3) 6896.58 = 9198.1067

4. (1/2) 9198.1067 = 4599.05

Add the two volumes together:

4599.05+5483.31 = 10082.36cm²

This took forever since I used the google calculator, but it got done after forever! Hope this helps!

The Volume of the figure is 10,082.53 cm³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity.

We have a cone surmounted by Hemisphere.

So, Volume of Figure

= Volume of Cone + Volume of Hemisphere

= 1/3 πr²h + 2/3 πr³

= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13

= 5,483.48 + 4,599.05

= 10,082.53 cm³

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