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 2/5 . What is the difference between the number of expected outcomes and the number of actual outcomes?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

A 2 - sided counter ; (red, yellow)

A spinner (1,2,3,4,5,6)

Number of trials = 80

P(red and number > 3) :

P(red) = 1/2 ;

P(number >3) : numbers greater Than 3 = (4, 5, 6)

Hence, P(number <3) = 3 /6 = 1/2

Theoretical probability = 1/2 *1/2 = 1/4

Expected number of outcomes :

1/4 * number of trials

1/4 * 80 = 20

Experimental outcome :

Relative frequency = number of outcomes / number of trials

Relative frequency = 2/5

Hence,

2/5 = number of outcomes / 80

Cross multiply :

160 = number of outcomes * 5

Number of outcomes = 160 /5 = 32

Actual outcomes = 32

Difference between actual and expected :

32 - 20 = 12


Related Questions

write an equation
(-2,4) and (-1,8)

Answers

Answer:

2(-2,4) + 2(-1,8)=-8.4

Step-by-step explanation:

2x-2

2x4

2x-1

2x8

-8.4

Analyze the graph below to identify the key features of the logarithmic function.

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Answer:

is there just 2 answers too this question? anyways the answer b

heyy! i’ll give brainliest please help.

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Answer:

I think its A? Not sure though

Step-by-step explanation:

Not sure, but It might be B.

Find the area of the composite figure

Answers

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

WILL GIVE BRAINLIEST! PLS HELP

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I read it all and see your picture it think it’s going to be the 3rd one sir

The theoretical probability of landing on tails is 1/2. What is the EXPERIMENTAL probability of 'tails' shown below? ***write your answer as a FRACTION with a "/"* Flip 1 2 3 4 5 Result H T T H H Flip 6 7 8 9 10 Result H H T H T Flip 11 12 13 14 15 Result I T T T H Flip 16 17 17 18 19 19 20 Result T H H T H​

Answers

Answer:

The experimental probability of flipping tails is 40%. Mentor: The experimental probabilities were 40% tails and 60% heads. This does not precisely match with the theoretical probability of 50% tails and 50% heads.

Step-by-step explanation:

The base edge of the regular triangular pyramid is b=10 cm and altitude of the base hb ≈ 8.66 cm. The slant height of the pyramid is k=8 cm. Find: a Lateral area of the pyramid

Answers

Answer:

Lateral Area: 120                                                                                    

Surface Area: 163.3

Please help me y’all!!

Answers

Answer:

57

Step-by-step explanation:

Answer:

[tex]57[/tex]

Step-by-step explanation:

This is a plug-and-chug type problem. Substituting given values, we have:

[tex]\frac{3}{4}|-4-2(6^2)|,\\\\\frac{3}{4}|-4-2(36)|,\\\\\frac{3}{4}|-4-72|,\\\\\frac{3}{4}|-76|,\\\\\frac{3}{4}(76)=\boxed{57}[/tex]

Help please explanation and thank you!

Answers

Answer:

D

Step-by-step explanation:

A: The sum of Y and H is +. If the scale is correct, this is not true. Y is further away from 0 than H is. Suppose H = 5 and Y = -7. Then Y + H = 5 + -7 = - 2

B: E and Y area both minus. The minus signs cancel. Therefore the answer will be + B is wrong.

C: H>0 and E<0. A negative times a positive is a negative not a positive. C is wrong

D: A - H Suppose A = 2 and H = 5 . Then A - H = 2 - 5 which is - 3

This is your answer.

The reason is that H is further from the 0 than A is.

can someone please help me with this question.?...​

Answers

Answer:

9 4/9 (this is a mixed fraction btw)

Step-by-step explanation:

Question: 3 4/9 + 5 7/9

Add whole numbers:

3+5 = 8

Combine fractions: 4/9 + 7/9 = 13/9

*fix your improper fraction into a proper one*

so, 13/9 turned into mixed fraction is 1 4/9 (to be clear it's not 14, 1 is the whole number and then the fraction 4/9.) *write it like a mixed fraction please*

anyway, we're not done yet..

8+1 4/9

= 9 4/9

PLEASE HELP
The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

The answer should be 63.

Giving brainliesttttt help pls pls

Answers

Answer:

option a. 7y + 6 + 5m and option e. 6 + 5m + 7y

Step-by-step explanation:

5y and 2y are like terms

HELPPP pls asappppppppp!!!!!!!!!!!!!

Answers

Answer:

Question a) radius is 2.36

Question b) radius is 11.89

Question c) radius is 6

Question d) radius is 9

Step-by-step explanation:

Radius= Demeter over 2

CAN YALL HELP ME THIS SEEMS EASY BUT ID,K HOW TO DO IT??

Answers

Answer:

Step-by-step explanation:

15 points !!! will mark brainiest if you get correct !!!
determine wether each sequence is arithmetic or geometric. find the next three terms.

(question) 14, 19,24, 29, . . .
A: geometric, 34, 39, 44
B: arithmetic, 32, 36, 41
C: arithmetic, 34, 39, 44
D: the sequence is neither geometric nor arithmetic.

(question) -4, 8, -16, 32, . . .
A: arithmetic, 64, 128, 256
B: geometric, -64, 128, -256
C: geometric, -48, 64, -80
D: the sequence is neither geometric nor arithmetic.

(question) 81, 27, 9, 3, . . .
A: arithmetic, 0, -3, -6
B: geometric, 0, -3, -6
C: geometric, 1, 1/3, 1/9
D: the sequence is neither geometric nor arithmetic.

Answers

Step-by-step explanation:

1. C:arithmetic, 34, 39, 44

2. B: geometric, -64, 128, -256

3. C: geometric, 1, 1/3, 1/9

What is the inter-quartile range of the given data set?

3
6
2

Answers

Answer:

IQR = 3

Step-by-step explanation:

That would be 20 - 17, or 3.

What is the answer to this question? I can't wrap my head around it because I am a 6th grader but my math teacher is making me do 8th-grade stuff to prepare me for algebra I.

Answers

It’s a function if it passes the vertical line test or pencil test. Using a pencil and following the function if it touches the pencil in more then one spot it is not a function.
1. Function
2. Function but can be placed in not enough information
3. Not a function
4. Function
5. Function
6. Not a function

What is the sum of the measures of the angles of this 9-sided polygon?
A 9-sided figure.
1,080°
1,260°
1,440°
1,620°

Answers

Answer:

the answer is 1260 or B on edge

Step-by-step explanation:

toes are on fire on a Tuesday thank you for coming to my TED talk

Answer:

it is B

Step-by-step explanation:

On every 3rd day Ivan goes to the gym to exercise. Every 5th day Gavin goes to the gym to exercise. What is the first day Ivan and Gavin will be at the gym on the same day? During 1 hour of television there are 2 shows on. What is the ratio of hours to shows? If you watch 3 hours of television, what will the ratio be?

Answers

Answer:

15th day

1 / 2 ; 1 / 2

Step-by-step explanation:

Given :

Ivan = Every 3rd

Gavin = Every 5th

To Obtain the first day they'll be at the gym a together;

Lowest common multiple of the days :

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 5 = 5, 10, 15, 20, 25, 30

Lowest common multiple = 15

2.)

Time in hours = 1

Number of shows = 2

Ratio of hours to shows = 1 / 2

Ratio for 3 hours of watching television :

3 * (1 /2) = 3 / 6 = 1 / 2

Find the difference of (2x -3) - (x-1) . *
5 points
x - 4
x - 2
x + 2
x + 4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](2x - 3) - (x - 1) \\ = 2x - 3 - x + 1 \\ = 2x - x - 3 + 1 \\ = x - 2[/tex]

Option B. x - 2 is the correct answer.

1) IF (a, b ond B = (x, y) find BxH,
And show in arrow diagram

Answers

Answer:

Your question seems inaccurate. Sorry,please give the correct question.

SOMEONE PLEASEEEEW HELP ME OUTTT

Answers

Answer:

By Double splitting method

=> 2x²-7x+5

=> 2x²-2x-5x+5

=>2x(x-1)-5(x-1)

=>(2x-5)(x-1)x=5/2x=1

______________

Hope it helps

-------☆゚.・。゚ƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

Factorise 2x^2-7x+5

Step-by-step explanation:

2x^2-7x+52x^2-2x-5x+52x(x-1)-5(x-1)(2x-5)(x-1) 2x-5 =0 or x-1 =0 2x=5 x=1 x=5/2 Therefore either x =5/2 or x=1

hope it helps

Find the sum of the first 32 terms of the arithmetic sequence 24, 20, 16,

Answers

Answer:

[tex]S_{32}[/tex] = - 1216

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]

     = 16(48 - 124)

     = 16 × - 76

     = - 1216

Solve -7g - 2 = - 30. Show your steps.

Answers

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

Answer:

g = 4

Step-by-step explanation:

First you can add 2 to both sides to isolate the x term:

-7g -2 = -30

      +2   +2

-7g = -28

Now, you can divide by -7 both sides to find g,

-7g = -28

÷ -7     ÷ -7

g = 4


What is the surface area of the solid?

А. 520 square inches

B. 660 square inches

C. 260 square inches

D. 470 square inches

Answers

Answer:

A. 520 square inches is your surface area of the rectangular prism

a 520
a =2 (wl+hl+hw)

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?

y = 47(1.191)x
y = 34(1.204)x
y = 26.9x – 1.3
y = 27x – 4

Answers

Answer:

Y=26.9x-1.3is the answer

Step-by-step explanation:

The best model represents y = 26.9x – 1.3

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

As, the data given about productivity is well defined by y = 26.9x – 1.3

As, we have 4 functions so by putting the values we get

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

So, the most accurate is (C)y = 26.9x – 1.3.

Learn more about this concept here:

https://brainly.com/question/4505098

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The price of an item has been reduced by 65%. The original price was $25.

Answers

25 • 0.65 = 16.25
25 - 16.25= 8.75
The new price is $8.75

Help with this problem pls

Answers

Answer:

580.26 beats per min

Step-by-step explanation:

15.2 yrs=126 beats per min

So, 1yr=126/15.2 beats per min

70 yrs=(126/15.2)x70

=580.26 beats per min

consider this equation tan(theta)=-5/3

if theta is an angle in quadrant II what is the value of sin(theta)

Answers

Answer:

B     5√34 / 34

Step-by-step explanation:

tan ∅ = opp/adj

In quad II

tan ∅ = 5 / (-3)

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

hyp^2 = 5^2 + (-3)^2

hyp^2 =25 + 9 = 34

hyp = √34

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

sin ∅ = opp/hyp

sin ∅ = 5/√34

Rationalizing

sin  ∅ = 5√34 / 34

Consider this equation [tex]tan(\theta)=-5/3[/tex]. if theta is an angle in quadrant II the of  [tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex].

What are the trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Consider this equation

[tex]tan(\theta)=-5/3[/tex]

B     5√34 / 34

if theta is an angle in quadrant II what is the of sin(theta)

[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

In quadrant II

tan ∅ = 5 / (-3)

[tex]hyp^2 = 5^2 + (-3)^2\\hyp^2 =25 + 9 = 34\\hyp = \sqrt{34}[/tex]

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]sin \theta = \dfrac{5}{\sqrt{34} }[/tex]

Rationalizing

[tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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help me solve this please

Answers

Answer:

2384

Step-by-step explanation:

40x50=2000

40x24/2=384

2000+384=2384

Answer:

2384

Step-by-step explanation:

1. Approach

To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.

2.Find the area of the rectangle

The rectangle will have the following dimensions,

(40) x (50)

To find the area of a rectangle, one will use the following formula,

(length) * (width) = (area)

Therefore, the area is the following,

(40) * (50) = 2000

3.Area of the triangle

3a. Approach

To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.

3b. Find the unknown side and semi-perimeter

It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,

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

Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),

[tex](40)^2=(24)^2+(b)^2\\[/tex]

Simplify,

[tex]1600=576+b^2[/tex]

Inverse operations,

[tex]1024=b^2\\\sqrt{1024}=b\\32=b[/tex]

Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,

[tex]\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48[/tex]

3c. Find the area of the triangle

Substitute into Heron's formula,

[tex]\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384[/tex]

Add the area of the rectangle and triangle together to find the answer,

384 + 2000

= 2384

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