at a carnival game, the chance of winning a prize is 0.45. kylee plays the game 3 times. using the table, what is the probability that she wins at most 2 prizes?

A player can expect to win on average is 3.87 spots

The middle value in a set of numbers is the average, which is calculated by dividing the total of all the values by the number of values.

Given that

The wheel has 10 spots labeled = $1

14 spots labelled = $2

9 spots labelled = $10

Do we have to find a win on average =?

Total spots = 10 + 14 + 9 = 33

Expected to win average = (1 x 10/33) + (2 x 14/33) + (10 x 9/33)

= 10/33 + 28/33 + 90/33

= 128 / 33

= 3.87

Therefore a player expects to win on average = 3.87 spots

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Answer:

.2 Cm

Step-by-step explanation:

Answer:

16 oz, 15.3 oz, 9oz

Step-by-step explanation:

these are the highest to lowest in price write in the form of oz.

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

v = 88/3 = 29.333

Step-by-step explanation:

Answer:

42+448=490

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

Answer:

Repeated 6

Step-by-step explanation:

6

6

6

6

6

6

Hello!

Answer:

6

Step-by-step explanation:

18÷6=3

180÷6=30

1800÷6=300

18000÷6=3000

180000÷6=30000

1800000÷6=300000

Hope this helps!

Answer:

m = 8

k = 7

Step-by-step explanation:

Remark

Unless this really is a parallelogram, it is not (easily) solvable. I think you likely intend it to be a parallelogram, so it has an easy solution. The diagonals bisect each other.

So m = 8   because the intersect point of the diagonal and the second one makes the two parts equal.

k + 4 = 11        Subtract 4 from both sides.

   -4    -4

  k = 7

The volume of a circular pyramid with the diameter being two and the height of the three is 3.14159 cm³.

A circular pyramid is a solid that has a circular base and triangular faces that come to a point. The volume of a circular pyramid can be found by multiplying the area of the circular base by the height of the pyramid, and then dividing the result by three.

To find the volume of a circular pyramid with a diameter of two and a height of three, we need to first find the radius of the circular base. Recall that the diameter of a circle is twice the radius, so if the diameter is two, then the radius is one:

radius (r) = diameter/2 = 2/2 = 1

With the radius of the circular base, we can find the area of the circle by squaring the radius and multiplying by π (pi):area = πr² = π(1)² = π

Using the formula for the volume of a pyramid, we can find the volume of the circular pyramid:

v = (1/3) × area of base × heightv = (1/3) × π × 1² × 3v = (1/3) × 3.14159 × 1 × 3v = 3.14159 cm³

Therefore, the volume of the circular pyramid is approximately 3.14159 cubic centimeters (cm³).

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Answer:

The velocity v(t) of the robot at time t can be determined by taking the derivative of the position function s(t). Therefore, v(t) = 18t - 90.

To find the total distance traveled by the robot between t = 0 and t = 9, we need to calculate the definite integral of the absolute value of the velocity function from t = 0 to t = 9. This is because the absolute value of velocity gives us the speed, and integrating the speed over the given time interval gives us the total distance traveled.

Integrating the velocity function v(t) = 18t - 90 from t = 0 to t = 9, we get:

∫(0 to 9) |18t - 90| dt

To solve this integral, we split it into two parts based on the regions where the integrand changes sign:

∫(0 to 9) (90 - 18t) dt + ∫(0 to 9) (18t - 90) dt

Evaluating the integrals, we get:

[90t - 9t^2/2] from 0 to 9 + [9t^2/2 - 90t] from 0 to 9

Plugging in the limits, we have:

[90(9) - 9(9^2)/2] + [9(9^2)/2 - 90(9)] = 405

Therefore, the total distance traveled by the robot between t = 0 and t = 9 is 405 units.

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The velocity function v(t) is found by taking the derivative of the position function s(t), resulting in v(t)=18t-90. To find the total distance traveled by the robot from t=0 to t=9, calculate the definite integral of the absolute value of the velocity function over this interval.

The position, s(t), of a robot moving along a track at time t is given by . To find the velocity of the robot at any time t, we need to derive the position function with respect to t, giving us

which represents the velocity function. Now, to find the total distance travelled by the robot between t=0 to t=9, we have to find the definite integral of the absolute value of the velocity function from 0 to 9. The absolute value is considered because we want total distance covered, not just displacement. This is an example of applying derivative and integral principles in a real-life scenario.

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To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

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The given conditions to write an equation for the line passing through (−9,2) and parallel to the line whose equation is y = −3x+ 2.

There are many different methods to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically include one or more variables.

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

\($$We have the equation of a parallel line and a point which it passes through. To write the equation of the line in point-slope form, we will use the following formula:y−y1=m(x−x1)We know that the slope of parallel lines are same and we are given the equation for parallel line, y=−3x+2$$\)

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We can represent 4 integers as a difference of two distinct members i.e.    {1, -1, 2, -2}.

What are Integers ?

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Here, we have 3 distinct positive integers which are {1, 2, 3}.

We can list down the integers as a difference of the two distinct members as follows :

1 - 2 = -1

2 - 1 = 1

2 - 3 = -1

3 - 2 = 1

1 - 3 = -2

3 - 1 = 2

So, we can see clearly it is representing only 4 integers which are {1, -1, 2, -2}.

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In the dancing performance, there are 28 men.

Given info;

As the ratio of men to women is 7 : 8, if there are 7x men, there are 8x women.

But we have 64 female performers in the dance recital.

Hence, 8x = 64

Now multiplying both sides by 1/8, we have

⇒ 8x * 1/8 = 32 * 1/8

x = 4

Hence there are 7 × 4 = 28 men in the dance recital.

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The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

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Answer:

The average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

Step-by-step explanation:

To obtain the average rate of change of a function from x1 to x2, you can use the formula:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

In this case, you are given the function f(x) = -2x + 15, and the values x1 = 0 and x2 = 3.

First, calculate the values of f(x1) and f(x2) by substituting x1 and x2 into the function:

f(x1) = -2(0) + 15 = 15

f(x2) = -2(3) + 15 = 9

Now we can substitute these values into the formula for average rate of change:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

= (9 - 15) / (3 - 0)

= -6 / 3

= -2

Therefore, the average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

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9514 1404 393

Answer:

  use the transitive property and the congruence of vertical angles

Step-by-step explanation:

First of all, look at the figure and the given information, and see how that relates to the question being asked.

Here, you're given several angles between the lines of interest, all of which are congruent, and you're asked to show the lines are parallel. Two of the given angles (1 and 4) are "alternate interior angles", so the theorem relating those to parallel lines is useful.

Statement . . . . Reason

1. ∠1 ≅ ∠2, ∠3 ≅ ∠4 . . . . 1. Given

2. ∠2 ≅ ∠3 . . . . 2. Vertical angles are congruent

3. ∠1 ≅ ∠3 . . . . 3. transitive property of congruence*

4. ∠1 ≅ ∠4 . . . . 4. transitive property of congruence

5. k ║ l . . . . 5. Converse of alternate interior angles theorem**

_____

* The transitive property tells you if a ≅ b and b ≅ c, then a ≅ c.

** The alternate interior angles theorem says the alternate interior angles at a transversal crossing parallel lines are congruent. The converse says if those angles are congruent, then the lines are parallel.

To find the center of the given equation, we need to rewrite it in the standard form of a circle equation, which is:

\(\sf\:(x - h)^2 + (y - k)^2 = r^2 \\\)

where (h, k) represents the center coordinates of the circle and r represents the radius.

Given equation:

\(\sf\: x^2 + y^2 + 16y + 40 = 8x + 4y \\\)

Rearranging the terms:

\(\sf\:x^2 - 8x + y^2 + 16y - 4y = -40 \\\)

Completing the square for the x-terms:

\(\sf\: (x^2 - 8x + 16) + y^2 + 12y - 4y = -40 + 16 \\\)

Completing the square for the y-terms:

\(\sf\: (x^2 - 8x + 16) + (y^2 + 12y + 36) = -40 + 16 + 36 \\\)

Simplifying:

\( \sf\:(x - 4)^2 + (y + 6)^2 = 12 \\\)

Comparing this with the standard form, we can see that the center of the circle is at (4, -6).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: center is 8,5

Step-by-step explanation: i dont have one

The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.

Answer:

x = 36

Step-by-step explanation:

180 - 48 = 132

This is because angle AC- and ACB form a straight angle (180 degrees).

132 + 12 = 144

180 - 144 = 36

The three interior sides of a triangle always add up to 180 degrees.

Hope this helps!

Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°

Answer:

41

Step-by-step explanation:

The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.

In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.

In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.

In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."

Therefore option D is the correct answer.

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The height of the tree is approximately 156.7 feet.

What is Trigonometry?

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

The height of the tree can be calculated using trigonometry.

Let's call the height of the tree "h".

Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:

tan(33°) = h / 90

Solving for h, we get:

h = 90 * tan(33°)

Using a calculator to find the value of tan(33°), we get:

h = 90 * 1.730

h ≈ 156.7 feet

So, The height of the tree is approximately 156.7 feet.

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Answer:

4:Pause

Step-by-step explanation:

Before starting the reading of each paragraph you should pause as it does not create misunderstanding between the people also each and every paragraph should be clear to everyone so the chances of doubt would be minimum

Therefore according to the given options the fourth option is correct

Hello!

The answer is pause.

All the other options are nouns, but it's clear that we need a verb.

So, the answer is pause.

Hope it helps! :)

Do ask me if you have any query.

~An excited gal

\(MagicalNature\)

The only value of C that makes the set of vectors linearly dependent is C = -1.  All other values of C make the set linearly independent.

A set of vectors is linearly independent if none of the vectors in the set can be expressed as a linear combination of the others.

In other words, if all the coefficients in the linear combination are zero, then the set is linearly independent.

If vectors V1, V2, and V3 are linearly independent, then we know that there exist only one set of scalars such that

α1V1+ α2V2+ α3V3 = 0

where α1, α2, α3 are scalars (real numbers).

In the present case, V1 = (1, C, 0), V2 = (1, 0, 1), and V3 = (0, 1, -c).

Therefore,α1(1, C, 0)+ α2(1, 0, 1)+ α3(0, 1, -c) = 0

Rearranging the terms, we get the following three equations.α1 + α2 = 0 α3= 0α2 - Cα1 + α3 = 0

From the second equation, we get α3 = 0  which we substitute into the first and third equations to get

α1 = -α2α2 - Cα1 = 0

But since we know that α3 = 0, this equation gives us a hint to calculate the values of C, i.e., α1 and α2 can't be equal to 0 because this leads to a trivial solution.

Thus, the determinant of the coefficient matrix has to be nonzero.

This leads us to the following calculation:-

Cα1 - α1 = 0α2 - α2 = 0

As a result, -Cα1 - α1 = 0 = α1 (-C-1)

Therefore, α1 is 0 for any value of C not equal to -1.

To find the value of α2, substitute α1 = -α2 in the equation α2 - Cα1 + α3 = 0, which yields  

α2 - Cα1 + α3 = 0α2 + Cα2 = 0

⇒ α2 = 0 or Cα2 = 0

Since α2 cannot be zero because that would give a trivial solution, we have to take Cα2 = 0.

Therefore, C = 0 or α2 is zero.If C = 0, we get

V1 = (1, 0, 0)

V2 = (1, 0, 1)

V3 = (0, 1, 0)

The three vectors are linearly independent because we can't express one vector as a linear combination of the others. On the other hand, if α2 = 0, then α1 = 0.

Thus, we have only one possibility when C = -1, which is α1 = 0, α2 = 0, α3 = 0

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Answer:

25 and 55

Step-by-step explanation:

Let's call the larger number L and the smaller S

L = 5 + 2×S

And the sum is:

L + S = 80 Subtract S in both sides:

L = 80 - S

Now, substitute this value of L in the first equation:

80 - S = 5 + 2×S Add S in both sides:

80 = 5 + 2×S + S

80 = 5 + 3S Subtract 5 in both sides

75 = 3S Divide both sides by 3

25 = S

We find the value of S, and now we substitute it in the second equation to find the value of L:

L = 80 - 25

L = 55

Answer:30

Step-by-step explanation: You do 88-58=30

Answer:

i agree as well its 30 no cap