At the grand opening of Cruisin' By Auto Sales, each customer who buys a car will be able to spin a spinner and win a prize. The spinner is divided into five unequal parts. Before the dealership opened, the manager tried out the spinner 14 times to make sure it was working well. The table below shows how many times the spinner landed on each part.
Prize Times
drink cooler 3
travel mug 4
car snacks 5
upgraded speakers 1
entertainment system 1
Based on the data, what is the probability of the spinner landing on upgraded speakers?
Write your answer as a fraction or whole number.

There are probability of total of 5 x 6 = 30 ways to roll 4 dice with the same number and 1 die with a different number in this case.

To calculate the number of ways to roll 4 dice with the same number and 1 die with a different number, we need to consider two cases: the die with the different number can either be the first die or one of the other four.

If the die with the different number is the first die, then there are 6 choices for its value. The remaining 4 dice must all have the same value, which means there is only 1 choice for their value. Therefore, there is a total of 6 ways to roll 4 dice with the same number and 1 die with a different number in this case.

If one of the other four dice has a different number, then there are 5 choices for which die will have the different number. There are also 6 choices for the value of that die.  

The remaining 3 dice must all have the same value, which means there is only 1 choice for their value. Therefore, there are a total of 5 x 6 = 30 ways to roll 4 dice with the same number and 1 die with a different number in this case.

Adding up the two cases, we get a total of 6 + 30 = 36 ways to roll 5 dice with 4 dice having the same number and 1 die having a different number.

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Answer:

8 - 2/x is the algebraic equation (if that's what you're looking for)

Answer:

-8

Step-by-step explanation:

3+-7=-4

-4+-4=-8

No spanis

Bueno espero que te sirva sino es esa Aplica la ley de los signos :v

The most likely to generalize to it's population of interest is a stratified random sample of 120

a stratified random sample 120

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members’ shared attributes or characteristics, such as income or educational attainment. Stratified random sampling has numerous applications and benefits, such as studying population demographics and life expectancy.

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Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

Answer:

1

Step-by-step explanation:

Answer:

1 is missing

Step-by-step explanation:

As 4285 ÷ 7 = Quotient- 612 , Remainder - 1

Answer:

27:3

Step-by-step explanation:

multiply the 9 by 3 to get the first part

Explanation

To get that value, we multiply every number in the ratio 9:1 by 3

9*3 = 27

1*3 = 3

Therefore, the ratio 9:1 is equivalent to 27:3

Answer:

-1+1

Step-by-step explanation:

cause takes out one gallon then adds one

Answer:

its not -1+1 NOT HELPFUL

Step-by-step explanation:

hi how is your day

we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

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The length of the missing side of the figure is 6 inches.  

The length of the missing side of the figure, we can use the fact that similar figures have corresponding sides in the same ratio. In this case, we know that the length of one side of the figure is 24 inches, and the ratio of the lengths of the other sides is 3:1.

We can use this information to set up a proportion:

Take any two opposite sides:

2X-1 = 6x

4x =-1

= 4x inches : -1 inch(decrease)

We can simplify this proportion by dividing both sides by 3:

3x inches : 18 inch

3x = 18

x = 18/3

x= 6

= x inches : 6 inch

Therefore, the length of the missing side of the figure is 6 inches.  

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Answer:

1600 students

Step-by-step explanation:

10% = 160 students

100% = ?

= 100×160/10

=1600 students

Answer:

the last one

Step-by-step explanation:

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Both the pairs of opposite sides in a parallelogram are parallel and congruent.

According to the question,

We've proved that one pair of sides in parallelogram must be congruent

Let ABCD is a parallelogram ,

We know that AB // CD

Here, AC is transversal for the parallel lines AB and CD

So, ∠BAC = ∠DCA    (Using interior angle property) --------(1)

Similarly , We also know that BC // AD

=> ∠BCA = ∠DAC -----------(2)

Now , In ΔABC and ΔADC,

Therefore , ΔABC ≅ ΔADC    (as per ASA congruence rule)

Therefore , AB = CD and BC=AD   (Corresponding sides of congruent triangles are equal)

Hence , Both the pairs of opposite sides in a parallelogram are parallel and congruent.

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The curve is F(x) = x^2 + 3x - 2

From the question, we have

f(x) = 2x + 3

∫f(x) = ∫2x + 3 dx

F(x) = x^2 + 3x + C

2 = (1)^2 + 3(1) + C

2 = 4 + C

C= -2

The curve is F(x) = x^2 + 3x - 2

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.

Step-by-step explanation:

What is figure rotation?

Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.

In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.

X is a vertical angle to the angle marked as 100 degrees.

Vertical angles are the same so x = 100 degrees

Answer: 100 degrees

Answer: x=x there's no equation

Step-by-step explanation:

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

The classifications are: Quadrilateral N is a kite, Quadrilateral F is a parallelogram, Quadrilateral Y is a rhombus, Quadrilateral H is a rectangle, Quadrilateral W is a square.

Quadrilaterals are polygons with four sides and four vertices. The figure shows the various types of quadrilaterals, each having its own set of properties.

1. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. The diagonals of a kite are perpendicular, and one diagonal bisects the other.

Base on these properties, from the figure, Quadrilateral N is a kite.

2. Parallelogram: A parallelogram has opposite sides that are parallel and equal in length. Opposite angles are also equal. Additionally, the diagonals of a parallelogram bisect each other.

Base on these properties, from the figure, Quadrilateral F is a parallelogram.

3. Rhombus: A rhombus is a parallelogram with all sides equal in length. Opposite angles are equal, and the diagonals bisect each other at right angles.

Base on these properties, from the figure, Quadrilateral Y is a rhombus.

4. Rectangle: A rectangle is a parallelogram with four right angles. Opposite sides are equal in length, and the diagonals are congruent.

Base on these properties, from the figure, Quadrilateral H is a rectangle.

5. Square: A square is a special type of rectangle where all sides are equal in length. It has four right angles and congruent diagonals.

Base on these properties, from the figure, Quadrilateral W is a square.

6. Trapezoid: A trapezoid (or trapezium) has one pair of parallel sides. The other two sides are non-parallel. The diagonals of a trapezoid do not necessarily intersect at right angles.

Base on these properties, from the figure, Quadrilateral B is a trapezoid.

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Jennifer Davis will earn $910.00 in simple interest on her investment.

The principal amount is $2,600.

The interest rate is 7% per year.

The time period is 5 years.

To calculate the simple interest, we can use the following formula:

simple interest = principal * interest rate * time

Plugging in the values for the principal, interest rate, and time period, we get:

simple interest = 2600 * 0.07 * 5 = 910

Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.

In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.

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1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Total pre-split Market Capitalization is $1,08,125,000.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Williams and Co. is splitting their stock at a ratio of 3:1. The pre-split price is $43.25 and the pre-split number of shares is 2.5 million.

Total Value of Shares = $43.25 Share Price × 2.5 × 10⁶ Shares

Total Value of Shares = $1,08,125,000

Let’s say the company’s board decides to approve a 3-for-1 split.

Total Shares = 2.5 × 10⁶ × 3 = 75,00,000

Share Price = $43.25 ÷ 3 = $14.416

Total Value of Shares = $14.416 Share Price × 75,00,000 Shares

Apply the multiplication operation,

Total Value of Shares = $1,08,120,000

Thus, the total pre-split Market Capitalization is $1,08,125,000.

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Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

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Answer:

C. $17.00

Step-by-step explanation:

Answer: B

Step-by-step explanation:

B is basically showing the Pythagorean theorem does not work on the triangle's side lengths.

The pythagorean theorem is supposed to work for all right triangles

Answer:

2/5(2t+125)

Step-by-step explanation:

if factorization,then this is the ans

4/5t+150

2/5(2t+125)

Answer:

A pair of angles is known as complementary angles when the sum of their angles is 90°.