Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?

Answers

Answer 1

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!


Related Questions

Evaluate 5 + 1.3 • 8.7

Answers

Step-by-step explanation:

16.31

.......................

Answer:

16.31

Step-by-step explanation:

You want to start with multiplying because of PEMDAS, so

1.3 x 8.7

so 7 x 3 = 21, and carry the two, then 7 x 1 = 7 + 2 = 9.

at the bottom you now have that it equals 9.1

so, now you start your next line and put a 0.

then, 8 x 3 = 24, of course carry the 2, and 8 x 1 = 8 + 2 = 10.

you will now have 10.40 under that

you then add 9.1 + 10.40 to get your answer of

11.31

lastly, just simply add

11.31 + 5

and you get your final answer of 16.31

HELP I do not understand.

Answers

There is no mode

because none of them appear the most

Answer:

no mode

Step-by-step explanation:

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

A factor of thirty is chosen at random what’s the probability that it’s a two digit number

Answers

Answer:

The positive whole-number factors of 30 are:

1, 2, 3, 5, 6, 10, 15 and 30.

So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that

P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors

=38=3×.125=.375 (37.5%)

Step-by-step explanation:

probability
0
1/2
1/5
1??​

Answers

Answer:

1

Step-by-step explanation:

Total number of portions = 10

unshaded portion= 5

number of even numbers =

probability of unshaded portion = 5/10 = 1/2

probability of even number = 5/10 = 1/2

Probability of landing on unshaded or even portion= probability of landing on unshaded portion + probability of landing on even number = 1/2 + 1/2 = 1

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?

Answers

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

1) Find a quadratic equation that has solutions x = 0 and x = 5 Give your answer
without brackets.

2) Find a quadratic equation that has two solutions x = 7
Give your answer without brackets.

Answers

1) You need to work this problem backwards.

x=0 and x=5 and those are the roots so the factoring must have looked something like this:

(x-0)(x-5) Then you would FOIL it:

x^2-5x-0-0 Then simplify:

x^2-5x.

2) Do the same thing with this problem.

x=7 and x=7

(x-7)(x-7)

x^2-7x-7x+49

x^2-14x+49

I hope that this helps.

The difference between a and b is 12. The number a is 5 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of aand b?

Answers

Answer:

a+b=12

3b+5=a

Step-by-step explanation:

In the circus, a lion has been trained to jump through a ring of fire that has a radius of 4 feet. What is the rings circumference? Use 3.14 for

Answers

Answer:

25.12

Step-by-step explanation:

1) use the formula: circumference=2×3.14×radius

2) then plug in the radius,which is 4

which is now 2×3.14×4

3) plug that into a calculator in which you will have 25.12 as your answer

A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP

Answers

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Matt is correct

Step-by-step explanation: length x width x height so it's D

IF I HAVE 130 POP CORN AND I TAKE AWAY 30 WHATWOULD THE AWNSER BE A.30 B. 100 C.20 D.130 I AREADY KNO IT YALL JUST HAVE TO GUESS IF YALL WANT A BRAINLEST

Answers

Answer:

b. 100

Step-by-step explanation:

Answer:

B. 100

Why are you doing this?

three-fourths the square of a number

Answers

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

(DO NOT GIVE ANSWER!
Please just explain how to get the answer, thank you! )
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?

Answers

Answer:

----

Step-by-step explanation:

My answer was wrong...

No way to delete...

HELP PLEASE
Hudson has xx nickels and yy dimes. He has at most 13 coins worth at least $1 combined. Solve this system of inequalities graphically and determine one possible solution.
I NEED THE 2 INEQUALITIES, AND THE ANSWER

Answers

Answer: $ 12.05

Step-by-step explanation:

Answer:

Step-by-step explanation:

A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____


-2


3


-3


2

Answers

Answer:

x =3

Step-by-step explanation:

The axis of symmetry is at the vertex

The x coordinate gives the axis of symmetry

x =3

Answer:

x = 3.

Step-by-step explanation:

The equation of the parabola is

f(x)  = a(x - 3)^2 - 2 where the vertex is (3, -2).

The axis of symmetry  passes though x = 3

Do You Know How?
Write an equation in Slope Intercept Form.
12. Given a Slope of -3 and a Y-Intercept of 8.

Answers

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

The graph of quadratic function k is shown on the grid.
у
Which statements are best supported by the graph of k?
11
10
I. The x-intercept is located at(-3,0).
II. The coordinates of the y-intercept are(0,9).
III. The axis of symmetry 15 X=-3.
F I and II only
G I and III only
HII and III only
J
I, II, and III

Answers

Answer:

The answer is I, II, and III.

Step-by-step explanation:

Answer: I , II , III

Step-by-step explanation:

Find the area for this problem. Will mark brainliest.

Answers

Answer:

166.5

20 characters bla blah

Answer:

166.5cm²

Step-by-step explanation:

18.5×9=166.5

this is the other part! please help!

Answers

Answer:

Line B

Step-by-step explanation:

Line b is the the correct answer because the line has the most dots near or on it

Yea I say it’s line b

You and your friend volunteer for 120 hours. The ratio of hours you volunteered is 6 to 4. Use a tape diagram to find how many hours you volunteered

Answers

Answer:30

Step-by-step explanation:6x5

Answer:

Show us the tape diagram!

Step-by-step explanation:

In a board game, when you land on a specific square, you must roll a die. If the result is an odd number, you receive four times the result, in dollars. If the result is even, you must pay five times the result, in dollars.
Determine the expectation.

a. 5 - 4
b. 4 x ( 1 + 3 + 5) x 1/2 - 5 ( 2 + 4 + 6) x 1/2
c. 0
d. 5 x 1/2 - 4 x 1/2

Answers

Answer:

Option B is correct.

It represents exactly the expectation.

Hope this helps!

:)

Answer:

The answer is B

STEP BY STEP EXPLANATION BOIZ:

if its an odd number four times the result   = 4 x (1 + 3 + 5)

If result is even you must pay five times the result = 5(2 + 4 + 6)

So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer

Hope dis helped :3  o(* ̄▽ ̄*)ブ

Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
each cube is even (E) or odd (O). Her results are shown in the graph. Based on Kelly's results,
which is the most reasonable prediction for the number of times two odd numbers will occur
when two number cubes are rolled 2,000 times?​

Answers

Answer:

480

Step-by-step explanation:

First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.

Hope this helped!

Using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

What is fraction?

A fraction is " a number is expressed as a quotient  in which numerator is divided by denominator".

According to the question,

Kelly rolls two number cubes 50 times, each cube is even (E) or odd (O).

The graph shows frequency of two numbered cube roll. The frequency of getting EO is 14, frequency of getting OE is 8, frequency of getting EE is 16 , frequency of getting OO is 12.

Total number of frequency = 14 + 8 + 16 + 12

= 50

The fraction of getting two odd numbers when cube is rolled 50 times

= [tex]\frac{12}{50}[/tex].               →(1)

In order to find, when two number cubes are rolled 2,000 times the number of times two odd numbers will occur.

= [tex]\frac{x}{2000}[/tex].            →(2)

Equating two fraction, to get value of 'x'.

[tex]\frac{12}{50} = \frac{x}{2000}[/tex]

[tex]\frac{12*2000}{50}[/tex]  = x

x = 12 × 40

x = 480.

Hence, using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

Learn more about fraction here

https://brainly.com/question/183694

#SPJ2

The area of a square is 36 square centimeters. A rectangle has the same perimeter as the square. The length of the rectangle is twice the width what is the area of the rectangle in sq cm?

Answers

Answer:32sq cm

Step-by-step explanation:

area of square 36

sides are then 6 by 6

6+6+6+6=24

24 can be made into 4+4+8+8 8 is twice as much as 4 8x4=32

Find the area of the shaded region.

Express the area in factored form.

Answers

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

---
What is the slope of the equation y=5/4 x -7/4

Answers

Answer:

5/4

Step-by-step explanation:

The slope intercept form for a linear equation is y = mx + b. The variable's (x) coefficient, which is represented as m, is the slope of any linear equation.

Answer:

5/4

Step-by-step explanation:

Got it right

math question screen shot down below

Answers

Answer:

48

Step-by-step explanation:

100-52=48

Answer:

48

Step-by-step explanation:

1.First u have to order the numbers from least to greatest.

-52,58,66,71,72,79,82,84,85,94,98,100

2.Find the lowest number and the highest number.

-52 nd 100

3.Subtract the 2 numbers

100-52=48

Trinomial in factored form 5y^2-y-18

Answers

Answer:

Step-by-step explanation:

(5y + 9)(y - 2) is the solution

5y^2 - 10y + 9y - 18

Answer:

(5y+9)(y-2)  i think

What is the rate of change of a function over a specified interval?

Answers

Answer:

The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.

Step-by-step explanation:

hope this helps plz mrk brainliest

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