A die is rolled 100 times. A 1 is rolled 20 times, a 2 is rolled 14 times, a 3 was rolled 20 times, a 4 was rolled 15 times a 5 was rolled 19 times, and a 6 was rolled 12 times.
a) What is the experimental probability of rolling a 6?
b) What is the theoretical probability of rolling a 6?

Answers

Answer 1

Answer:

A) Experimental probability = 0.12

B) Theoretical probability = 1/6

Step-by-step explanation:

A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.

Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.

Thus;

Experimental probability = 12/100

Experimental probability = 0.12

B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.

Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.

Thus,

Theoretical probability = 1/6


Related Questions

The volume of the sphere is about (blank) ft.​

Answers

Answer:

[tex]14.13[/tex]

Step-by-step explanation:

V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Answer:

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Step-by-step explanation:

we are given the redious of a sphere

we want to figure out the volume

remember that,

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]

since we are given the redious we can substitute

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]

as the approximate value of π is given

substitute:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]

we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction

so

simplify square:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]

reduce fraction:

[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]

[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]

simplify multiplication:

[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]

since we cubed the redious and the redious is in feet, we of course use cubic feet

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Solve. Round to the nearest hundredth.
(Help! Will give brainliest)

Answers

29. x = 0.469 30. x = 5.39 31. x = 10.2 32. x = 5.29 33. x = 7.07 34. x = 6.08

10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters

longer than the width. If the area of the room will be 150 square meters, what are the

dimensions?

Answers

Answer:

L = 15 m, b = 10 m

Step-by-step explanation:

Let width of the rectangle be b.

Length = 5+b

The area of the rectangle is 150 sq meters.

The area of rectangle is given by :

A = lb

So,

[tex]150=b(5+b)[/tex]

It is a quadratic equation. The solution of this equation is :

b = -15 m and 10 m

Neglecting -15, the width of the rectangle is 10 m.

Length = 5+10

= 15 m

So, the dimensions of the room are 10 m and 15 m.

Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)

Answers

Answer:

k = 4

Step-by-step explanation:

If x + 2 is a factor of the polynomial;

By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero

So, we have it that;

x + 2 = 0

x = -2

Substitute into the polynomial and equate to zero

(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0

-8 -4k -4 + 7k = 0

-12 -4k + 7k = 0

-12 + 3k = 0

-3k = -12

k = -12/-3

k = 4

three times than five times a number​

Answers

Answer:

15

Step-by-step explanation:

if there are 24 boys and 6 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

4:1, 6:2, 12:3, 24:6

Step-by-step explanation:

24 boy

6 girls

possible ratio

24 ÷ 6 = 4

6÷ 6 = 1

4 : 1

24 ÷ 3 = 6

6 ÷ 3 = 2

6 : 2

24 ÷ 2 = 12

6 ÷ 2 = 3

12 : 3

24 ÷ 1 = 24

6 ÷ 1 = 6

24 :6

please help me with the answer, ive been stuck on getting both answers for a while now ty

Answers

Answer:

[tex]3x + x - 17 + 13 = 116 \\ 4x = 120 \\ x = 30 \\ g = 73 \\ h = 43[/tex]

Please help!! Area!!

Answers

Answer:

5*8*4

Step-by-step explanation:

Multipy them together lol

The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?

Answers

Answer:

21

Step-by-step explanation:

original price-reduced price

100%-70%=30%

100%=70

30%

30%/100%*70=21

=21$

Hola me podría alguien ayudar con esto? Muchas gracias!

Answers

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

Which is shown below?
12 > 11
A. An operation
B. An inequality
C. An expression
D. An equation
SUBMIT

Answers

Answer:

B Inequality

Step-by-step explanation:

since 12 is greater than 11 they are not equal

> this sign is the greater than sign

Please help I can’t figure it out NO LINKS
LINKS= REPORT

Answers

The line for y = -x + 3 is suppose to be negative slope. It’s -x so it goes down 1 right 1. Not up 1 right 1.

Mhanifa or Anyone Answer this PLZ

Answers

Answer:

C) (3, 4)B) (-1, 9)

Step-by-step explanation:

Use midpoint formula

x = (x₁ + x₂)/2y = (y₁ + y₂)/2

#3

Endpoints (0, 0) and (6, 8)

Midpoint has coordinates:

x = 6/2 = 3, y = 8/2 = 4Point is (3, 4)

Correct choice is C

#4

Endpoints (-5, 3) and (3, 15)

Midpoint has coordinates:

x = (-5 + 3)/2 = -1, y = (3 + 15)/2 = 9Point is (-1, 9)

Correct choice is B

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Answer:

Sorry but it is really difficult to see the questions... :(

Can you zoom up on them?

Step-by-step explanation:

-3(7x-5)
Please I need an answer ASAP

Answers

Answer:

-21x + 15!

Step-by-step explanation:

Multiply using the distributive property. Hope this helps!

-Lei

I’ll give Brainly est help. B

Answers

Answer:

C) 99 + 3x

Step-by-step explanation:

Since it's always going to cost 99, it'll stay like that since it's a constant

Since it's 3 PER person, that means 3 will have a variable: 3x

Math.... Can you help

Answers

Answer: -42 7/8

Step-by-step explanation: Hope this help:D

12-6.5 also i need help with a scenario and with a word problem the scenario is the photo i put and with two word problems ramona sees that her cat hasn"t been eating and wants him to gain more weight. If the cat weighs 6.78 pounds and the goal weight is 10.5 lbs, how much weight does Ramona want her cat to gain? these are two separate problems. Jessica is running a 5k which is about 3.1 miles at a charity event. She starts slowing down around 1.75 miles into the race. How much farther does Jessica have before reaching the finish line?

Answers

Answer:

The cat needs to earn 3.72 pounds

Jessica has 1.35 miles to earn in the race.

Step-by-step explanation:

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Which value of "X" is a solution to this equation?
4x2 +22x +10

Answers

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

3)
The first number minus the second number
is always eight

Answers

Answer:

Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8

Step-by-step explanation:

Solve for the given variable in the equation: ½ n - 3 = 5

n = _______

Answers

Answer:

The correct solution is "n = 16".

Step-by-step explanation:

The given equation is:

⇒  [tex]\frac{1}{2} n-3=5[/tex]

On adding "3" both sides, we get

⇒  [tex]\frac{1}{2} n-3+3=5+3[/tex]

⇒  [tex]\frac{1}{2}n=8[/tex]

On applying cross multiplication, we get

⇒  [tex]n=8\times 2[/tex]

⇒  [tex]n=16[/tex]

Hey I'm taking a math exam tomorrow please send words of encouragement please answer.

Answers

Answer:

did you study????? well if u did then why u scareddd shortteee.

what are systems of equations and inequalities definitions?

Answers

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

need help
problem/question in image below ​

Answers

Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Please mark as brainliest for further answers :)

MULTIPLE CHOICE !! HELP

Answers

Answer:

Its D

Step-by-step explanation:

HELP PLEASE Quadratic Equations Math Nation

Answers

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Position 3 Value of Term 8 20 Com ​

Answers

i dont know i need this one too

Anyone know this cause my sister been lost for a day on this. I know it's nice t that hard to most of y'all but it's hard for her. ( will give big brain if I can)

Answers

Answer: The book tax is $1.10 and the video game is $3.40 so i'll let you figure this out

tell your sister that the nae nae frog has blessed her with the answer

A roller coaster goes down 0 feet and then up 55 feet.

Answers

Answer:

was that the full question? i cant seem to understand what your asking

Step-by-step explanation:

what do you need help with ??
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