Answer the questions below Alex loves golf. He has kept track of his last 10 shots for 4 different clubs. He wrote down the distance in yards he hit each of the clubs in the table below. Pitching Wedge 7 Iron 3 Iron Driver 1 2 3 4 5 132 143 137 24 134 164 161 237 168 163 198 204 193 198 199 298 293 315 307 322 a) Calculate the mean distance for the four clubs Alex used? Pitching Wedge Mean b) Calculate the median distance for the four clubs Alex used? c) Calculate the mode of each club. 6 136 164 209 299 Mode Median Pitching Wedge Pitching Wedge 7 Iron 3 Iron 7 8 9 132 130 133 168 164 158 42 201 198 303 314 52 7 Iron 3 Iron 604301 7 Iron Driver 3 Iron d) Look for some outliers in the data. What could have caused these outliers? 10 132 153 198 311 Driver Driver e) To calculate the average distance of all four clubs combined, find the mean of the medians for each club.​

Answer:

To find the equation of the line that passes through the point (8, -5) and is perpendicular to the line 5x + 4y = 24, you can use the following steps:

Find the slope of the line 5x + 4y = 24. To do this, you can rearrange the equation to the slope-intercept form y = mx + b, where m is the slope. So, you get y = -5/4 x + 6

Since the line is perpendicular to the line 5x + 4y = 24, the slope of the line is the negative reciprocal of the slope of the line 5x + 4y = 24 which is -4/5

Now, use the point-slope form of the equation of a line which is y - y1 = m(x - x1). So, the equation of the line that passes through the point (8, -5) and is perpendicular to the line 5x + 4y = 24 is :

y - (-5) = -4/5(x - 8)

y + 5 = -4/5x + 8/5

y = -4/5x + 13/5

So, the equation of the line is y = -4/5x + 13/5

Equations, their parts and how to solve them is discussed above.

Given is an equation that models the amount of profit the movie (Mission Impossible III) earned (in millions of dollars) at the Box Office each week.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign.

The steps to solve a basic equation with one variable (linear) are given below:

        with the same exponent) by adding/subtracting them.

Therefore, equations, their parts and how to solve them is discussed above.

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Answer:

(-3,4) for the second problem

Step-by-step explanation:

This is a system of equations.  We can solve the first for y and use that in the second.

Solve first one for y:

3x + y = -5

y = (-3x - 5)

Use this value for y in the second equation:

8x + 7(-3x - 5) = 4

8x - 21x -35 = 4

-13x = 39 (divide both sides by -13 here)

x = -3

Now put this value for x into one of the original equations to get y:

3(-3) + y = -5

-9 + y = -5

y = 4

You can put these x and y values into the original equations to check your work.

The solution of log2 is approximately 0.30102999566. To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base.

To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base. For example, using a calculator set to base 10, one would enter the number 2 and then press the 'log' button. The answer would be 0.30102999566. This is the solution to log2. Alternatively, one could use a logarithm table to look up the answer. To do this, one would find the row labeled "base 10" and then find the column labeled "2". Then, find the corresponding number in the table, which would also be 0.30102999566.

The solution of log2 is approximately 0.30102999566.

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Answer:

Step-by-step explanation:

the whole one or only one of them?

Answer:

i d k

Step-by-step explanation:

No, the relationship is neither linear nor exponential.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Ordered pairs from the table.

(15, 10), (16, 20), (17, 40), and (18, 70)

Now,

The rate of change between two ordered pairs is not the same.

Rate of change between (15, 10) and (16, 20).

= (20 - 10)/(16 - 15)

= 10/1

= 10

Rate of change between (16, 20) and (17, 40).

= (40 - 20)/(17 - 16)

= 20/1

= 20

This shows that it is not a linear relationship.

We can not make it in an exponential form.

i.e y = [tex]a^x[/tex]

Thus,

The relationship from the table is not linear nor exponential.

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The simplified product in standard form is -3y^4 - 30y.

What is algebraic equation ?

An algebraic equation is a mathematical statement that shows that two expressions are equal. The expressions can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.  For example, the equation 2x + 3 = 7 is an algebraic equation. In this equation, x is a variable, and the goal is to find the value of x that makes the equation true. Algebraic equations can be solved by using a variety of techniques, such as isolating the variable on one side of the equation, using inverse operations, or factoring. The solutions of an equation are the values of the variables that make the equation true.

To simplify the expression:

-3(y^2)^2 - 5*6y

First, we can simplify the inner parenthesis: (y^2)^2 = y^4

Next, we can simplify the constants: -3 * y^4 - 5 * 6y

Combining like terms: -3y^4 - 30y

So the simplified product in standard form is -3y^4 - 30y.

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Function that represents the amount of money in the account after t months under the provided condition is equal to A = [tex]2^{t - 1} -[/tex] 500.

Given,

Amount in the account

Frist month = $1

                   = [tex]2^{1-1}[/tex]

As per given condition,

second month = $2

                        = [tex]2^{2-1}[/tex]

Third month = $4

                    = [tex]2^{3-1}[/tex]

t = months.

Jerry withdraw $500 to make a down payment on the trip.

'A' represents the total amount left in the account

Required function as per given condition,

A = [tex]2^{t-1}[/tex] - 500

Hence, function representing the amount of money as per given condition in the account after t months is equals to A= [tex]2^{t-1}[/tex] - 500

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On opening night, the number of adult tickets and the number of children tickets were sold are respectively, 210 and 110

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Total tickets sold = 320

Adult tickets = $25 each

Children tickets = $8 each

The total ticket sales= $6,130

Suppose, the number of adult tickets sold = x

So, the number of children tickets sold = 320 - x

Total sales = 6130

Total sales = adult tickets sold + children tickets sold

                  = 25×x + 8×(320 - x)

                  = 25x + 2560 - 8x

                  = 17x + 2560

6130-2560= 17x

               x = 210

Now, number of children ticket = 320 - 210

                                                    = 110

Hence, The numbers are respectively, 210 and 110

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The coordinates of the image of point (5, -2) under the same translation is (3, -4)

Translation is a type of transformation that moves a figure or a function in a specific direction and distance without rotating or changing its size.

To solve the given, you can use the equation below:

image = point + translation

So we can say:

translation = image - point

translation = (-2, 5) - (0, 7)

translation = (-2-(0) , 5-7)

translation = (-2, -2)

Under the same translation, the coordinates of the image of the point (5, -2) will be:

image = point + translation

image = (5, -2) + (-2, -2)

image = (5+(-2) , -2+(-2))

image = (3, -4)

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Correct Question

The image of the point (0, 7) under a translation is (−2,5). Find the coordinates of the image of the point (5,−2) under the same translation.

If the discriminant is a perfect square then it represents that quadratic function is factored.

As given in the question,

Standard quadratic function is expressed as :

ax² + bx + c = 0

Quadratic function can be factored by two methods :

1. Splitting of the middle term.

By splitting method it can be expressed as a product of linear function

A( x - u )( x -r )

2. By using quadratic formula : x = ( -b ± √b² -4ac ) /2a

Here discriminant = √b² -4ac

If the discriminant is a perfect square it is possible to factored quadratic equation.

Therefore, the value of discriminant is perfect square it represents that quadratic function is possible to factored.

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Answer:

not increasing increasing

Step-by-step explanation:

Answer:

A dilation is a transformation that changes the size of a figure while keeping its shape the same. In a dilation with a scale factor of 1/2 and the origin as the center of dilation, each point in the figure is moved away from the origin by a factor of 1/2.

To find the new location of point B, we can apply this dilation to the coordinates of point B. Point B is located at (4,10), so we can multiply each coordinate by 1/2 to find the new location.

B'(x',y') = (1/2)(x,y) = (1/2)(4,10) = (2,5)

So the new location of point B, B' is located at (2,5) in the coordinate plane.

If Alice measures her qubit to be in the state, then the probability that Bob and Charlie will find their qubits to be in the state is 1/4. This is because the overall quantum state must collapse into the state Alice measured, so the probability of Bob and Charlie measuring the same state is 1/4.

In more detail, when Alice measures her qubit the three qubits must collapse into the state measured by Alice, due to the principles of quantum mechanics. This means that the probability of Bob and Charlie measuring the same state is 1/4, as the state measured by Alice is the only possible outcome. This is because the other three possible states (, and ) are no longer possible as they have been ‘erased’ by Alice’s measurement.  To illustrate this, consider a quantum state of three qubits in the form of a ‘coin-flip’.

If Alice measures her qubit to be in the state, then the other two qubits must also be in the state. This is because the only possible outcomes of this quantum state are either all heads or all tails, and Alice’s measurement has ‘erased’ the other three possible outcomes (i.e. heads and tails, tails and heads, heads and heads). Therefore, the probability that Bob and Charlie will find their qubits to be in the state is 1/4.

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The equation of a line passing through (2, 2) and perpendicular to y = 5x - 3 is y = -3x + 8.

An equation is a mathematical statement between two expressions, with an equal sign (=) to indicate that both expressions are of the same value. Equations can be used to solve a variety of problems in mathematics, physics, chemistry, and other sciences. Additionally, equations are used to express relationships between different variables or unknowns.

The equation of a line passing through (2, 2) and perpendicular to the given line is y = -3x + 8.

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Yes, that's correct. In the slope-intercept form, the equation of a line is given as y = mx + b where m is the slope of the line.

The variable "m" represents the slope of the line, which is a measure of how steep the line is. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate, also known as the rise over the run.

A line with a positive slope will rise as it moves to the right, while a line with a negative slope will fall as it moves to the right. A line with a slope of zero is a horizontal line and one with an infinite slope is a vertical line.

The variable "b" is the y-intercept, which is the point where the line crosses the y-axis. It is the value of y when x = 0.

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Three-point charges are positioned on the x-axis. If the charges and corresponding positions are +32 uc at x = 0, +20 uc at x = 40 cm, and -60 uc at x = 60 cm, the magnitude of the electrostatic force on the +32-uc charge is 7.89 N.

To calculate this, the first step is to calculate the electric field produced by each charge at the position of the +32-uc charge. This can be done by using the equation E = k * q/r^2, where k is the electrostatic constant (8.99x10^9 Nm^2/C^2), q is the charge in question, and r is the distance from the charge. For the +20 uc charge, the electric field is 4.42 N/C. The same equation can be used for the -60 uc charge to find the electric field produced, which is -8.07 N/C.  

Next, the electric field due to the two charges needs to be added together to find the total electric field at the position of the +32-uc charge. This is done by simply adding them together, which gives -3.65 N/C.  Finally, the magnitude of the electrostatic force on the +32-uc charge can be calculated using the equation F = q * E, where q is the charge in question and E is the electric field. Substituting in the values gives F = +32 * (-3.65) = -115.2 N. The magnitude of this force can be calculated by taking the absolute value, which gives 7.89 N.

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Answer:

Step-by-step explanation: This is not a function because if you do a pencil check on the points two dots touch the pencil at the same time which does not make it a function.

Answer:55/7= 8

Step-by-step explanation:

It’s division

Answer:

7 with a remainder of 4

Step-by-step explanation:

Open the picture and look how i did.

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The price of the laundry detergent per cup is $0.5.

The measure of a quantity can be expressed by its unit. The unit can be converted from one to another if the quantity are related.

In this question, the gallon has to be expressed as cups. Thus the price of the laundry detergent can now be determined.

This implies that we can express gallon in terms of cups, we have;

1 gallon = 16 cups

So that,

2 gallons = 2*16

               = 32 cups

Therefore;

the price of the laundry detergent per cup = $16/ 32

                                                      = $0.5

The price of the laundry detergent per cup is $0.5.

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Root beer is the cheapest per ounce, i.e. root beer cost is 0.011 per ounce

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.

Given finding the  cheapest per ounce,

A: a 2 L bottle (67.6 oz.) of root beer at $1.49

total weight of 2 liter bottle = 2 x 67.6 = 135.2 oz

135.2 oz = $1.49

1 oz = $1.49/135.2

1 oz = 0.011

root beer cost is 0.011 per ounce

B: a six-pack of 20-oz. bottles at $2.49,

total weight of 6 pack = 6 x 20 = 120 oz

120 oz = $2.49

1 oz = $2.49/120

1 oz = 0.21

bottles cost is 0.20 per ounce

C: a twelve-pack of 12-oz. cans at $2.99

total weight of 12 pack = 12 x 12  = 144 oz

144 oz = $2.99

1 oz = $2.99/144

1 oz = 0.021

can cost is 0.21 per ounce

Hence root beer is the cheapest per ounce.

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The probability that the first girl is the first to flip a head is 1/2.

The probability of appearing a head is 1/2.

If the number of toss required is odd as in one attempt represent odd number , we have following sequence of events

H, TTH, TTTTH.....

The required probability P will be

P = 1/2 + (1/2)³ + (1/2)⁵..........

As she flipped it in first go the probability will be 1/2.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Methods that do not Prove Triangles to be Congruent.

1. AAA (angle angle angle)

AAA works fine to show that triangles are the similar shape (matching) but it does not apply to also show they are the same size, thus congruent!

Consider the following example at the right.

2. SSA (side side angle) or angle side side:

SSA is humorously called to as the “Donkey Theorem “.

This is not a universal method to solve triangles congruent because it cannot assurance that one unique triangle will be drawn!

The SSA (side side angle) mixture affords the possibility of creating zero, one, or two triangles.

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154b

Step-by-step explanation:

Answer: To complete the table, we need to find ratios that are equivalent to the ratio of time to number of wing beats for a honeybee.

We can start by finding the ratio of time to number of wing beats for the first data point:

9 seconds / 1917 wing beats = 9/1917

And the second data point:

23 seconds / 4899 wing beats = 23/4899

To find equivalent ratios, we can multiply or divide both parts of the ratio by the same number, without changing the value of the ratio. For example, we can divide both parts of the ratio by 9 to get:

9/1917 = (9/9) / (1917/9) = 1 / 213

We can also divide both parts of the ratio by 23 to get:

23/4899 = (23/23) / (4899/23) = 1/213

We can use this same method to find equivalent ratios for other values of time and number of wing beats.

Time (s)          Number of wing beats                   Ratio

9           1917                                                     9/1917 or 1/213

23                  4899                                                   23/4899 or 1/213

So, the ratio of time to a number of wing beats for a honeybee is equivalent to 1/213, regardless of the specific values of time and number of wing beats.

Step-by-step explanation:

For f(4), it's 15. For determining x, it's 9.

For f(4), juet plug in 4 to x. 4(4) equals 16, minus 1 is 15.

For getting 35, we need to determine x. If you plug in 9 for f(x), 4(9) equals 36, minus 1 is 35.

The ratio of any pair of corresponding sides is the RATIO OF SIMILARITY between any two similar figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

Since,

the number of circle in the given figure is 4

the number of squares in the given figure is 16

total number of figures is 20

Ratio is 4/20=1/5

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By solving a simple equation, we will see that Avelina earns $62.50

Here we know that Avelina earns half as much as Gus, then if we define the variables:

A = amount that Avelina earns.

G = amount that Gus earns.

Then we can write the equation:

A = G/2

That says that Avelina earns half as much as Gus.

We know that Gus earns $125. then we can replace that in the equation above:

A = $125/2

A = $62.50

Avelina earns 62.50 dollars.

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