A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?

A Die Has 12 Faces Numbered 1 Through 12. On The Die, 5 Of The Faces Show Prime Numbers, So The Theoretical

Answers

Answer 1

Answer:

Step-by-step explanation:

5/12 * 300 = 125 times

Answer 2

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A die has 12 faces numbered 1 through 12.

And, The theoretical probability of rolling a prime number is 5/12.

Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.

Hence,

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,

⇒ 300 × 5/12

⇒ 1500 / 12

⇒ 125

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Related Questions

3 3/5x(-8 1/3)=?
What is ?

Answers

Answer:

-30x

Step-by-step explanation:

Answer:

about -29.988

Step-by-step explanation:

3 3/5x(-8 1/3)= -29.988

What is 4^15 or 4^3 x ^5??

Answers

Answer:

Step-by-step explanation

I hope this is the right answer but i'm pretty sure

4^3 x ^5=1073741824

4^15 = 60
4^3 = 13
^3 = 3
60 + 13 + 3 = 76
76 is the answer

The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?

Answers

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

We know that the circumference of a circle is given by:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:

18 = 2πr

Solving for r, we get:

r = 9/π ≈ 2.864 feet

Now we can use the formula for the area of a circle:

A = πr^2

Substituting the value we found for r, we get:

A = π(2.864 ft)^2 ≈ 25.85 ft^2

Therefore, the approximate area inside the circular park is approximately 25.85 square feet.

Help i'm not sure which is correct
Alexander can earn money for the cans he recycles. Which of the following statements describes the variables in this situation correctly?

1: The number of cans recycled is the independent variable because it affects the amount of money earned.
2:The number of cans recycled is the dependent variable because it affects the amount of money earned.
3:The amount of money earned is the independent variable because it affects the number of cans recycled.
4:The amount of money earned is the dependent variable because it affects the number of cans recycled.

Answers

The number of cans recycled is the independent variable because it affects the amount of money earned.

A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?

2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100

Answers

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

2 over 8 equals j over 18

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

2 over 8 equals j over 18

Solve the following system of equations.
{x+4y=0
{16y=−4x

Answers

Answer:answer  (0,0)

Linear equations with two unknowns

Enter an equation or problem

x+4y=0;16y−4x

We think you wrote

x+4y=0;16y-4x

This solution deals with linear equations with two unknowns.

Solution found

{x,y}={0,0}

See steps

Step by Step Solution

System of Linear Equations entered :

 [1]           x+4y=0

 [2]           16y-4x

Equations Simplified or Rearranged :

  [1]    x + 4y = 0

  [2]    -4x + 16y = 0

Graphic Representation of the Equations :

   4y + x = 0        16y - 4x = 0  

 

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = -4y

// Plug this in for variable  x  in equation [2]

  [2]    -4•(-4y) + 16y = 0

  [2]    32y = 0

// Solve equation [2] for the variable  y

  [2]    32y = 0

  [2]    y = 0

// By now we know this much :

   x = -4y

   y = 0

// Use the  y  value to solve for  x

   x = -4(-0/32766) = 0

Solution :

{x,y} = {0,0/32766}

In your class, 7 students do not receive a weekly allowance,5 students receive $3 , 7 students receive $5, 3 students receive $6 , and 2 students receive $8 .

a. What is the mean weekly allowance?

The mean weekly allowance is______
dollars.

Answers

Answer:

The mean weekly allowance is $3.5

Step-by-step explanation:

to find the average, we add up everything, and divide it by how many students there are.

0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8 <- this is what you add up

you get 84.  Then you divide this amongst all of the students.

7+5+7+3+2=24

84/24 = 3.5

Please give brainliest!

Hope this helps :)

the answer is $3.5
you multiply the amount of money with the amount of students then add it all together after you get your total ($84) you add the number of students including those who had no money (24) you then divide 84/24 your answer is $3.5

Some facts about powers of ten are shown.

Use what you know about powers of ten to enter numbers that make the equations true.

PLZ HELP

Some facts about powers of ten are shown.Use what you know about powers of ten to enter numbers that
Some facts about powers of ten are shown.Use what you know about powers of ten to enter numbers that

Answers

Blank 1: 10 000
Blank 2: 4
Blank 3: 1000
Blank 4: 0.013

Answer:

1) 10,000

2) 4

3) 1,000

4) 0.0013

5) Make what equation true? Once you tell me I can edit the answer and write the answer that is supposed to be here!

Hope this helps!

The tape diagram below represents 100\%100%100, percent.

What percent is represented by the shaded area?

Answers

Answer:

Step-by-step explanation:

Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent

Your answer would be 40.

Is the difference of 1/5 and 1/10 is closer to 1/2 than to 0?

Answers

the difference of 1/5 and 1/10 is closer to 0, the difference is 1/10

Hozumi and Petra each own a hybrid car. They decide to compare the gas mileage for each, and kept track of the weekly average fuel efficiency (in mpg, miles per gallon) for a period of 8 weeks. The results are shown in the tables.

a. 1.45
b. 2.25
c. 3.92
d. 5.37

Answers

Answer: 1.45

Step-by-step explanation

It probably should be 1.45 I suppose since if you look at the graph, there is 3 - 39 and in the second, 3 - 52 so if you divided 39 by 3 you'd get 14 and if you divided 52 by 3 you'd get 17.3333333 and if you divided 17.3333333 by 14, you'd get 1.23809523571, which is closest to 1.45. I think that this is probably the answer.

it should 1.45 I’m pretty sure at least

a. Survey 1 is biased.
b. There is no bias.

a. Survey 1 is biased.b. There is no bias.

Answers

Answer:

yes there seems to be a bias.

Pls help! Will give brainliest!!

Pls help! Will give brainliest!!

Answers

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Since the area is equal to length times width, and you know your area has to be 30, you can plug in your values like this:

(2x+7) x = 30

you can distribute to make this easier

2x^2 + 7x = 30

you can plug this into quadratic formula by setting the equation =0, so:

2x^2 +7x -30 = 0

where 2x^2 = a
7x = b
and -30 = c

you can plug this into your calculator and get an answer of

X = 2.5

Bob received 45 trading card from his collection. Bob's father, gives his son a few more trading cards and he now has at least 95 trading cards. How many more trading cards did Bob's father give his son? Also what is the Inequality?

Answers

Answer:

50

Step-by-step explanation:

95 - 45 = 50

Help meeeeeeeeeee plz

Help meeeeeeeeeee plz

Answers

Answer:

W = 100

Step-by-step explanation:

2/5 of w is 40

1/5 of w is 40/2, which is 20

Since we know that 1/5w is 20, then we can find w by multiplying both sides by 5 so then we can get rid of 1/5.

20*5 = 100

W = 100

OR

0.4w=40

Divide by 0.4 on both sides

w = 100

W=100

Hope this helps :)

Find the area of the figure colored in dark blue.

Answers

What is the area give the height width and length

What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters​ long, 6.6 centimeters​ wide, and 6 centimeters​ tall?

Answers

Answer:

Step-by-step explanation:

3.1313109

Answer: the answer should equal 3.131

Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.

Please got brainliest

(ANswer quickly please!) giving brainliest !!!

Last summer, a sports club had 380 members. This summer, due to some renovations, it has 30% more members. How many members are there now?

Answers

Answer:

494

Step-by-step explanation:

380 * 1.3 = 494

494 because 30% of 380 is 114 and 380+114=494

653.8 x 0.02 (PLEASE ANSWER QUICK

Answers

Your Answer is 13.076

have a good day

Well not gonna lie I did this on the calculator and it said 13.076 so it should be right

Do any of you have a made-up pokemon? Give Me Name, Hight, Type, Category, And All of That Stuff.

Answers

I've got a Pokémon is called bashy smashy it looks like a crocodile with a massive spicy steel ball at the end it's signature move is bashy ball it's a rock and steel type but it can learn dark type moves it's 4-ft 11 and weighs 80 lb

Can someone help asap I will make you the brainliest

Can someone help asap I will make you the brainliest

Answers

Answer: 45

have a great day/night and crush that homework/class!! ur loved

Can someone help asap I will make you the brainliest
I’m pretty sure it is 5!

Mr.Robbins sold his house and deposited his $84,500 earnings into a savings account for one year. The account compounds at an annual rate of 3%. Find the amount that Mr.Robbins will have at the end of the year.

Answers

Answer:
Mr. Robbins will have $87,035 at the end of the year!

Mr robbins would have $87,035 at the end of the year

This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B

This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value

Answers

The value of A/B is given as follows:

A/B = -2.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:

B = -1 -> as x + B = 0 -> x = -B = -1.

When x = 0, y = -2, hence the value of A is obtained as follows:

A/-1 = -2

A = 2.

Then the division is given as follows:

A/B = 2/-1 = -2.

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Sam has a credit card balance of $562.37. He paid $200 of the balance this month and plans to pay the remainder of it next month. The annual interest rate for Sam’s credit card is 17.9%, which means he will pay 1.49% interest per month.

a. If Sam makes no other payments or charges on the credit card during the next, what is the amount of interest that will be added to his next month’s bill?

b. What will be the total amount Sam will owe on his credit card next month if he plans to pay the balance in full?

Answers

Answer:

A. $5.40 PLUS original amount (362.37) =367.77

B. I think it is asking for the sum stated above. I don't know, this question is worded weird.

Step-by-step explanation:

You first find your new value. Subtract the 200$. Now you are working with $362.67 Then, multiply that by your interest rate of 0.0149: Thus giving you the amount of interest he owes. Add them together and boom!

I hope this helps, I really tried. No guarantees, have a lovely day!

Answer:

The correct answers are:

a. $367.77!

b. $195!

Step-by-step explanation:

a. 5.4 + 362.37 = 367.77

the real equation:

$562.37 - $200 = $362.37 + $5.40 = $367.77

b. Sam will owe $195 if he plans to pay the balance full.

The equation is a subtraction equation.

To find the answer. subtract the new month bill (367.77) from the original balance (562.37) and then BOOM! You got your answer.

$562.37 - $367.77 = $195

So there you have your answers. I hope this helps!

;)

(P.S. Please mark this as brainliest please I would really appreciate it)

help me please, due soon​

help me please, due soon

Answers

The small car gets better gas mileage

Answer: The blue car gets 26 2/3 mpg

The silver car gets 34 mpg

The silver car can travel farther on one gallon of gas. By about 7 1/3 miles.

Step-by-step explanation:

Divide miles by amount of gas.

Blue: 35 1/2 ÷ 1 1/2 = mpg

71/2 ÷ 3/2 => 71/2 × 2/3= 71/3

Simplify 26 2/3 mpg

Silver: 27 1/5 ÷ 4/5 =>136/5 × 5/4

136/4 Simplified = 34 mpg

Which expression is equivalent to 8x+x?

Answers

Is this just a question, or does it have answer choices to it? If it has choices could I see them please.

:)

The expression 8x+x can also be expressed as x(8+1) or simply put, 9x

The price of Stock A at 9 A.M. was​ $15.75. Since​ then, the price has been increasing at the rate of​ $0.05 per hour. At​ noon, the price of Stock B was​ $16.53. It begins to decrease at a rate of​ $0.13 per hour. If the stocks continue to increase and decrease at the same​ rates, in how many hours will the prices of the stocks be the​ same?

Answers

Answer:

the price of Stock A and Stock B will be the same after 3.5 hours.

Step-by-step explanation:

15.75 + (0.05 × 3) = 15.90

15.90 + 0.05t= 16.53 - 0.13t

0.05t + 0.13t = 16.53 - 15.90

0.18t = 0.63

t = (0.63 ÷ 0.18)

t = 3.5

HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!

REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!

The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?

Answers

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

I need help with this question, I'm not very good at math and all help is appreciated!

I need help with this question, I'm not very good at math and all help is appreciated!

Answers

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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