Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?

I DON'T KNOW HOW TO SOLVE FOR HOW MANY ROLLS (the last part)

Answer:

Step-by-step explanation:

1). By applying cosine rule in the given triangle,

   cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x°) = [tex]\frac{6}{8}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{3}{4} )[/tex]

   x = 41.41°

2). By applying cosine rule in the given triangle,

   cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x°) = [tex]\frac{4}{5}[/tex]

   x = [tex]\text{cos}^{-1}(0.8)[/tex]

   x = 36.87°

3). By applying cosine rule in the given triangle,

   cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x°) = [tex]\frac{51}{85}[/tex]

   x = [tex]\text{cos}^{-1}(0.6)[/tex]

   x = 53.13°

True statement is number C.

The method of sampling where a portion of population are given priority over the rest of the population is called biased sample.

In the unbiased sampling method almost, each population is valued, and they are given chance to be selected in the data list.

flawed sampling means the method of sampling is inappropriate such as survey works that taken in non-random way. As example, researchers start to ask people walking in the street.

The survey was taken at a playground on 20 families.

the survey estimated that mean number of children per household in the community was 2.4.

The main purpose of the survey was to determine the mean number of children per household in the community.

but the survey study was held at the playground and the sample size is too small.

The above data could not give the true estimation.

So, the sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

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Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)

When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.

Here,

tan x tan 4x=1

cos 4X cos X - sin 4x sin x=0

cos 5x=0

5x=(n+1/2)π,n ∈ Z

x=(2n+1)/10 π,0 <x <π

π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)

Thus, there are only four solutions.

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​

Answer:

5.(x+7)(4x2+7)

6.(b−3x)(3x2−1)

Answer:

yesssssss!!!!!!!!!!!

By considering the reflection, the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.

Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.

When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.

The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:

D(1,1) => D'(1-1,1) => D'(0,1)

E(1,6) => E'(1-1,6) => E'(0,6)

F(6,6) => F'(6-1,6) => F'(5,6)

G(6,1) => G'(6-1,1) => G'(5,1)

So the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

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Answer:

D.27

Step-by-step explanation:

I took a picture of my work doing a explanation.

(sorry for the messy hand writing)

Answer:

-275s+205+7t

Step-by-step explanation:

since it is addition, you can just remove the parentheses without doing anything else. Then just add the ones with the same coefficients.

Answer:

9.2+8.4+6.2

Step-by-step explanation:

hope that helps

The solution to this system of linear equations is x = 3, y = 2.

2x - 3y = 3

2x = 3 + 3y

2x = 3y + 3

x = (3y + 3) / 2

x = 3/2 + 3/2y

x = 3, y = 2

This system of linear equations features two unknown variables, x and y. The equation 2x - 3y = 3 can be rearranged into 2x = 3y + 3. This equation can then be solved for x by dividing both sides by 2, resulting in x = 3y + 3/2. Since 3y + 3/2 must equal 3, this means that y must equal 2. Substituting 2 for y in the original equation yields 2x = 3 + 3(2), or 2x = 9. Dividing both sides by 2 yields x = 9/2, or x = 3. Therefore, the solution to this system of linear equations is x = 3 and y = 2.

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The solution to the system of linear equations 2x + 3y = 3 is x = 1 and y = -1/3.

1. Rewrite the equation in standard form is

2x + 3y = 3

2. Subtract 2x from both sides of the equation:

3y = 3 - 2x

3. Divide both sides by 3:

y = (3 - 2x)/3

4. Solve for x by substituting y in the original equation:

2x + 3(3 - 2x)/3 = 3

5. Simplify and solve for x:

2x + 3 - 2x = 3

x = 1

6. Substitute x into the equation y = (3 - 2x)/3

y = (3 - 2(1))/3

y = -1/3

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Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair

The median of the list of numbers is 4

The numbers are given as:

3, 5, 2, 10, 6, 3, 7, 3

Sort the numbers in ascending order

2, 3, 3, 3, 5, 6, 7, 10

The median is the middle number.

The middle numbers in the above data are 3 and 5

So, the median is:

Median =(3 + 5)/2

Evaluate

Median =4

Hence, the median of the list of numbers is 4

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Answer:

6 x 14 = 84

84 x 2(since there are two small rectangles) = 168

22 x 6 = 132

132 x 2 = 264

264 x 2(since there are two of the same shape) = 528

22 x 14 = 308

308  x 2(since there are two of the same shape) = 616

Now we add up all the areas:

168 + 528 + 616 = 1312 square cm is your answer.

Answer:

49a + 28

Step-by-step explanation:

Answer:

49a+28

Step-by-step explanation:

49a+26+11–3–6

49a+26+11-9

49a+26+2

49a+28

Brainliest!!!

Answer:

d=90°

e=81°

f=99°

Step-by-step explanation:

To find f

180-81

=99

Answer:

d = 90°

e = 81°

f = 99°

Step-by-step explanation:

Have a nice day!

Answer:

f(x) , r(x), t(x)

Step-by-step explanation:

Probability that the calendar turned to month of May or June is 1/6.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Total number of months = 12

Suppose that a calendar is turned.

Probability that the calendar turned to month of May = 1/12

Probability that the calendar turned to month of June = 1/12

Probability that the calendar turned to month of May or June = 1/12 + 1/12

                                                                                                      = 2/12

                                                                                                      = 1/6

Hence the probability that the calendar turned to month of May or June is 1/6.

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Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.

We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.

Because of this, Marc has access to brownies for 3.6 days until they are finished.

Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.

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Answer:

Area:80mi^2

Perimeter:40mi

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

c² = a² + b²

25² = 15² + b²

625 = 225 + b²

b² = 625 - 225

= √400

= 20

Answer:

$87.82

Step-by-step explanation:

You do $74 divided by .18 which gets you $13.82. Then you add $74 and $13.82 which gives you the total, $87.82

Answer:

Thanks

Step-by-step explanation:

ADDFFFG

According to the solving the team average is g/17 and Chris sold (g/8) - 17  games.

The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.

Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.

average game sold = g/8

since Chris sold 17 games less than average

hence, Chris sold   games

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Answer:

[tex]1\ c = 8\ fl\ oz[/tex]

[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]

[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]

Step-by-step explanation:

The options are not properly formatted;

So, I will solve the question using general notations

Required

Conversion factors of cups and fluid ounces

Let

[tex]c = cup[/tex]

[tex]fl\ oz = fluid\ ounces[/tex]

In standard conversion

[tex]1\ c = 8\ fl\ oz[/tex]

Divide both sides by 8

[tex]\frac{1\ c}{8} = \frac{8\ fl\ oz}{8}[/tex]

[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{8}\ c = 1\ fl\ oz * 2[/tex]

[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]

The height of Dange who can jump 27.5% of her height is 10.4 inches.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.

Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,

(127.5/100)×f = 13.2.

1.275f = 13.2.

f = 13.2/1.27.

f = 10.4 feet.

So, The height of Dange is 10.4 inches.

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Logarithms are used for a variety of purposes in mathematics, science, engineering, and other fields. Some common uses of logarithms are mentioned below:

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, however it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

They are used for:

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Answer:

[tex]64 m^{2}[/tex]

Step-by-step explanation:

10 x 4 = 40

8 x 3 = 24

40 + 24 = 64

Mark as brainllest

Answer:

54 apples

Step-by-step explanation:

i know that he most likely didnt eat the same amount of apples per year but, if you divide the number of apples he ate overall by his age you get 54 apples.