James has organised a game to raise money for charity at a local fair. He rolls a fair six sided dice and flips a fair coin. If the coin lands on heads, the number on the dice is squared. If the coin lands on tails, the number on the dice is cubed. Each person pays 50p to play. If they score above 30, they win £1 The game is played 450 times. How much money does James raise for charity?​

Answers

Answer 1

The total amount that was raised for charity is £75.

What is the total amount raised?

Here is the sample space

                  1               2            3            4            5           6

Heads        1               4            9           16            25        36

Tails           1               8            27          64           125        216

Probability of getting a number greater than 30 = 4/12 = 1/3

1/3 x 450 = 150

Total value of people getting more than 30 : 150 x £1 = £150

Total amount paid = 50 x 450 = £225

Amount raised = £225 - 150 = £75

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Related Questions

What value is missing from the table ?

Answers

Answer:

17 Gallons

Step-by-step explanation:

From the table, it is given:

1 gallon = $1.05

$1.05 = 1 gallon

$1 = [tex]\frac{1}{1.05}[/tex] gallons

$17.85 = [tex](\frac{1}{1.05} )(17.85)\\= 17 gallons[/tex]

It makes that every time we flip a fair the probability of flipping tails is

Answers

It makes that every time we flip a fair the probability of flipping tails is 50%.

What is the probability?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)

Answers

Function rule describes the translation OT_1-9(x, y)

What is translation?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

Let's (x, y) be the coordinate.

where x be the horizontal move and y be the vertical move.

As, it is translated 9 units down and 1 unit right.

then

(x, y) = (x +1, y - 9)

and the translation be

(x, y ) = (x+1, y-9)

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What is the value of t?


1.4t - 0.4(t-3.1) = 5.8



enter the answer as a decimal in the box.

Answers

Answer:

  4.56

Step-by-step explanation:

After this equation is simplified, it is solved the way any 1-step linear equation is solved.

__

1.4t -0.4(t -3.1) = 5.8 . . . . . . given

1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses

t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)

t = 4.56 . . . . . . . . .  .subtract 1.24

4.56 is the answer

I got 100% on the quiz
I hope this helps
Please Brainliest
Proof my answer is correct and not Incorrect

The train at the zoo holds 36 people. Each row of seats in the train holds 4 people. How many rows of seats are there in the train?

Answers

The answer is 9 because 4x9 is 36

PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!

Answers

Answer:

First is b; because [B1] is [A1] multiplied by -4

Second is c; because [C2] = 7[B1] + [B2]

let a={1,2,3,4,5} number of functions f from A to A such that f(m) +f(n)=7 whenever m+n = 7

Answers

Answer:

Correct option is A)

A={1,2,3,4,5,6}

f:A→A

∴ Number of onto function=n!

       =6!

                                           =6×5×4×3×2×1

∴ Number of onto function=720

Step-by-step explanation:

What is the answer for this question


__ hundreds= 90 tens

Answers

Answer:9 hundreds

Step-by-step explanation:

One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900

pls help!!!! i have eight more minutes to answer
eeeeeeeeee

Answers

Answer: B) 16 units

Step-by-Step Explanation:

As we can observe from the graph,

Length (l) = 5 units
Breadth (b) = 3 units

Perimeter = 2(l + b)

Therefore,
= 2(l + b)
= 2(5 + 3)
= 2(8)
= 2 * 8
=> 16

Perimeter = 16 units


Find the measure of angle b.
29°
61
71
141
151

Answers

61°
Subtract 90 minus 29. You get 61°
Making sense?

You deposit $150 into an account that yields 2% interest compounded quarterly. how much money will you have after 5 years?

Answers

Answer:

2 divided by 100 multiply 150

In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem

Answers

A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.

What is a presentation?

A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.

In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.

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Complete Question:

Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?

A. the overview of the situation

B. a solution to the problem

C. an effect of the solution

D. an effect of the problem

Answer:

B - a solution to the problem

took on edge

the ___ of an acute angle of a right triangle is the ratio if the length of the adjacent leg to the length of the hypotonuse

Answers

Answer:

  cosine

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the answer to this question. It tells you ...

  Cos = Adjacent/Hypotenuse

__

The cosine of an acute angle is the ratio of the adjacent leg to the hypotenuse.

2. At the sale, Jessica bought 4 pairs
sunglasses. How much did she
of
spend?
8.78176.60
A $51.58
B $51.80
C$55.80
D$54.80

Answers

How much did each of the pair sunglasses cost?

Does this graph represent a function? Why or why not?
OA. Yes, because it passes the vertical line test.
OB. Yes, because it is a curved line.
OC. No, because it is not a straight line.
OD. No, because it fails the vertical line test.

Answers

This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

What is the vertical line test?

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)

Answers

Answer:

So first we substitute -2 for x

f(-2) = 10(-2)^2 - 4(-2) - 5

f(-2) = 400 + 8 - 5

f(-2) = 400 + 3

f(-2) = 403

Step-by-step explanation:

an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground​

Answers

The angle of depression from the aeroplane to the ground​ will be 30 degrees.

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

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Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85

Answers

Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

Resolution = 8⁸/8³= 8⁸÷³= 8⁵

Therefore, the answer correct is 8⁵

I need help to this equation Ive been stuck for awhile

Answers

Answer:

try 1500 in the top slot and 5 in the bottom slot

Step-by-step explanation:

Segment GH is shown on the graph.

What are the coordinates of the point that divides the
segment into a 3:2 ratio?
O (-7.5, 0.5)
O (0.5, -7.5)
O (-1.2,-2.2)
O (-2.2,-1.2)

Answers

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)

How to determine the coordinate?

The points are given as:

G = (-4,3)

H = (-1,-4)

Ratio, m : n = 3 : 2

The coordinate of the point is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]

Evaluate the product

(x,y) = (-2.2, -1.2)

Hence, the coordinate of the point is (-2.2, -1.2)

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What is the value of the expression below when y=2 6y^2 +8y-9

Answers

Answer:

6y^2+7

Step-by-step explanation:

when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.

The value of the expression 6y² + 8y - 9 at y = 2 is 31.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.

Given, An expression 6y² + 8y - 9.

Now, The value of the expression at y = 2, can be obtained by replacing

y = 2.

Therefore, 6(2)² + 8(2) - 9.

= 6(4) + 16 - 9.

= 24 + 16 - 9.

= 40 - 9.

= 31.

So, The value of the expression at y = 2 is 31.

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Juan plays 2 hours of video games per day. How many hours does he play in 6 days?

Answers

One day = 2 hours
6 days = 2 * 6 = 12 hours

You have to multiply hours he plays per one day with 6 days.

In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale

Answers

The original cost was it before the sale will be £ 26.4.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

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Is not a polygon because ???

Answers

Answer:

The shape includes a curve; all polygons are supposed to have straight sides, which this shape does not.

Answer: The shape includes a curve

Step-by-step explanation:

        Polygons are closed shapes with at least three straight sides.

        This shape is closed, but it includes a curve. This means the answer to our question is the second option from the top,

                 "The shape includes a curve"

2/3 of a number is 48. What is 1/4 of the number ?

Answers

Answer:

your answer will be 18

Step-by-step explanation:

2/3 of 72 is 48,  1/4 of 72 is 18

i need some extra words here so hopefully this works

PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!

AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?

Answers

Answer:

See below ~

Step-by-step explanation:

Applying section formula :

⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.

Need urgent help!! It would be really appreciated if someone could help!!

Answers

Answer:

[tex]C)~ 10.06~ m[/tex]

Step-by-step explanation:

[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]

You have two sticks. each stick has one blue side and one pink side. you throw the sticks 10 times and record the results. use the table to find the experimental probability of the event.
1. tossing 2 pink
2. tossing 1 blue and 1 pink
3. not tossing all pink
outcome | frecuency
2 blue | 1
2 pink | 3
1 blue, 1 pink | 6

Answers

Answer:

1. 30%, 2. 60%, 3. 70%

Step-by-step explanation:

According to table the total frequencies is:

1 + 3 + 6 = 10

Probability = Favorable outcome frequency / total frequency

Find each probability according to equation above:

1. P(2 pink) = 3/10 = 30%

2. P(blue and pink) = 6/10 = 60%

3. P(not all pink) = (10 - 3)/10 = 7/10 = 70%

The experimental probability of the event are: 3/10; 3/5; 7/10.

Experimental probability

Frequencies=1 + 3 + 6

Frequencies = 10

Hence:

Tossing 2 pink:

P(2 P) = 3/10

P(2 P) =30%

Tossing 1 blue and 1 pink:

P(B and P) = 6/10

P(B and P)=60% or 3/5

Not tossing all pink:

P(not all P) = (10 - 3)/10

P(not all P)= 7/10

P(not all P)=70%

Therefore the experimental probability of the event are: 3/10; 3/5; 7/10.

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0=x^2- 10x+10
Rewrite the equation by completing the square

Answers

[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]

Which graph represents the function f(x))=2•(1/3)^x

Answers

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

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