calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9. round your answer to the nearest tenth.

The answer choices which fit into the descriptions as given in the task content are; Squares and Rhombus.

It follows from the task content that the given quadrilateral is such that; FG || HI, GH || IF and FH = GI. However, since the diagonals are perpendicular.

Consequently, it can be inferred that the diagonals of squares and Rhombuses are perpendicular. On this note, the shapes which best align with the given descriptions are; Square and Rhombus.

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The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

Yes, since the new additive is more efficient and a proportional difference of 0.4 or more occurred 7 times out of 200, making the difference statistically significant. The correct answer is A) .

The dotplot can be used to determine whether the 0.4 observed proportional difference is statistically significant. Few dots are at or above 0.4 in any direction, as can be seen by looking at the dotplot. In particular, it appears that there are no dots to the left of the observed difference and only roughly 7 dots that are at or beyond 0.4. Therefore, at the 5% level of significance, the observed proportional difference of 0.4 is statistically significant. Hence the correct answer is option: A.

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The equation that represents the line of best fit is given as follows:

y = 50x.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

When x = 10, y = 500, hence the slope m is given as follows:

m = 500/10

m = 50.

Hence the equation is given as follows:

y = 50x.

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Answer: 2.2197307e+25

Step-by-step explanation: I just times it

Analyst input the function, they follow a predetermined structure that includes all required information for the function and its proper placement. so, syntax  of a function does this describe.

Syntax is a predetermined structure that includes all required information and its proper placement.

A formula in Excel is used to do mathematical calculations. Formulas always start with the equal sign = typed in the cell, followed by your calculation.

In the syntax of all Excel functions, an argument enclosed in [square brackets] is optional, other arguments are required. Meaning, your Sum formula should include at least 1 number, reference to a cell or a range of cells. For example: =SUM(B2:B6) - adds up values in cells B2 through B6.

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Solving the equation 4x + 7 = 9 will give value of x = 1/2

To solve we will use the equation

4x + 7 = 9

By subtracting 7 from both side we get

4x + 7 -7 = 9 -7

4x = 2

By diving 4 from both sides we get

4x/4 = 2/4

x = 1/2

To check we put the value of x in the equation we get

4(1/2) + 7 = 9

2 + 7  = 9

9 = 9

Hence the value of x is satisfying the equation

Therefore, the value of x is 1/2

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If Mariana needs to surround the garden with a stone-path, then she would need 20 feet of stone, Option (d) is correct.

The "Perimeter" of a rectangle is defined as the "total-length" of the outer boundary.

The length of the rectangle can be calculated as the difference between the x-coordinates of the vertices on the same vertical side.

In this case, the "x-coordinates" of vertices on same vertical side are 4 and -2.

So, the length of the rectangle is = 4 -(-2) = 6 feet.

Similarly, the width of rectangle is calculated as difference between "y-coordinates" of vertices on same horizontal side.

In this case, the "y-coordinates" of vertices on same horizontal side are 1 and -3.

So, the width of the rectangle is = 1 -(-3) = 4 feet,

To surround rectangle with a stone path, Marina need to add length of stone needed for the perimeter of rectangle, which is sum of all four sides.

The perimeter (P) is ⇒ P = 2(length + width),

Substituting the values,

We get,

⇒ P = 2(6 + 4) = 2(10) = 20 feet

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Marina is drawing a plan for a new garden. The rectangle with the vertex (4,1) , (4,-3) , (-2,-3) , (-2,1)in the coordinate plane represents the garden, measured in feet. To surround the garden with a stone path, how many feet of stone does she need?

(a) 4 feet

(b) 6 feet

(c) 10 feet

(d) 20 feet

Answer:

20 feet because ik from experience

For the given data correct option is option a.) The range is the best measure of variability, and it equals 8.

The dots on the line plot reflect the quantity of roses purchased every day at a grocery shop based on the supplied data. The dots are scattered horizontally, with some dots above specific numbers.

1, 2, 6, 7, 8, and 9 have dots above them , thus,

for given problem,

[tex]\text{Number of Rose Bouquets: 1, 2, 6, 7, 8, 9}[/tex]

[tex]\text{The range is the difference between the highest and lowest values:}[/tex]

[tex]Range = \text{Highest value} - \text{ Lowest value}\\Range = 9 - 1\\Range = 8[/tex]

The Interquartile Range (IQR) is a measure of variability that considers the difference between the data set's 25th and 75th percentiles (Q3).

The median (Q2) would be towards these digits since there are dots above numbers 6, 7, and 8. As a result, using the information provided, the IQR cannot be computed precisely.

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Answer:

To complete each statement, we will need to perform some operations on the given complex numbers w and z.

1. Find w^3:

We can use De Moivre's theorem to raise w to the third power:

w^3 = [2(cos(90°) + i sin(90°))]^3

= 2^3(cos(90°3) + i sin(90°3))

= 8(cos(270°) + i sin(270°))

Therefore, w^3 = 8(cos(270°) + i sin(270°)).

2. Simplify z^2:

To simplify z^2, we can use the identity cos(2θ) = 2cos^2(θ) - 1 to simplify the cosine term:

z^2 = [√(cos(250°) + i sin(225°))]^2

= cos(2250°) + i sin(2225°)

= cos(500°) + i sin(450°)

= cos(140°) - i sin(90°)

Therefore, z^2 = cos(140°) - i sin(90°).

Note: We can also simplify the square root of the cosine term using the identity cos(2θ) = 1 - 2sin^2(θ), but this would result in a more complicated expression for z^2.

3. Find the product wz:

We can simply multiply w and z using the distributive property:

wz = 2(cos(90°) + i sin(90°)) * √(cos(250°) + i sin(225°))

= 2√(cos(90°)cos(250°) - sin(90°)sin(250°) + i(cos(90°)sin(250°) + sin(90°)cos(250°)))

= 2√(-sin(250°) + i cos(250°))

Therefore, wz = 2√(-sin(250°) + i cos(250°)).

A simplification of the polynomial is -c³ + 2c² - 9c + 1.

The degree of the polynomial is equal to 3.

The leading coefficient of the polynomial is equal to -1.

The constant of the polynomial is equal to 1.

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would subtract the two (2) given polynomials as follows;

Expression = (c³ + 2c² - 5c) - (2c³ + 4c - 1)

Expression = c³ + 2c² - 5c - 2c³ - 4c + 1

By rearranging the given polynomials by combining like terms, we have;

Expression = -c³ + 2c² - 9c + 1

Where:

The degree = 3.

The leading coefficient = -1.

The constant = 1.

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Answer:

-----------------------------

Standard form for the equation of a circle is:

where the center is (h, k) and the radius is r units.

Complete the square by adding missing parts of the identity:

Apply this to the given equation:

As per the standard form, the center is (h, k) = (2, - 4) and radius is r = 4 units.

Carly will need to buy 27.05 gallons of gas for the trip, which will cost her $7.28.

To calculate the total cost of the road trip, we need to find out how many gallons of gas Carly will need and then multiply that by the cost per gallon.

First, we need to convert the distance from miles to gallons, using the truck's fuel efficiency of 21 miles per gallon

568 miles ÷ 21 miles per gallon = 27.05 gallons

So Carly will need approximately 27.05 gallons of gas for the trip.

Next, we need to convert the cost of gas from liters to gallons. There are 3.79 liters in 1 gallon, so the cost of gas is:

$1.02 per liter ÷ 3.79 liters per gallon = $0.269 per gallon

Finally, we can calculate the total cost of the road trip by multiplying the number of gallons of gas by the cost per gallon

27.05 gallons × $0.269 per gallon = $7.28

Therefore, the road trip will cost Carly approximately $7.28.

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Before proving that a shape is a rectangle or a rhombus, you must first prove that it is a parallelogram by showing that its opposite sides are parallel and then use specific properties to prove its rectangle or rhombus nature.

Before proving that a given shape is a rectangle or a rhombus, you must first prove that it is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel to each other. To prove that a shape is a parallelogram, you can show that its opposite sides are parallel by using the slope formula or by showing that the opposite sides have the same length and are parallel to each other.

Once you have established that a shape is a parallelogram, you can then proceed to prove whether it is also a rectangle or a rhombus. To prove that a shape is a rectangle, you must show that it is a parallelogram with four right angles. To prove that a shape is a rhombus, you must show that it is a parallelogram with four sides of equal length.

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To prove that a quadrilateral is a rectangle or a rhombus, you must first establish some key properties. For a rectangle, you need to prove that it has four right angles and opposite sides are parallel. For a rhombus, you must demonstrate that all four sides are of equal length and opposite sides are parallel.

Before proving that something is a rectangle or a rhombus, you must first prove that it is a parallelogram. This means showing that opposite sides are parallel and congruent in length. Once this is established, you can then prove additional properties to determine whether the shape is a rectangle (where all angles are 90 degrees) or a rhombus (where all sides are congruent).
To prove that a quadrilateral is a rectangle or a rhombus, you must first establish some key properties. For a rectangle, you need to prove that it has four right angles and opposite sides are parallel. For a rhombus, you must demonstrate that all four sides are of equal length and that opposite sides are parallel. Once these properties are verified, you can confidently classify the shape as a rectangle or a rhombus.

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the probability that no two people of the same sex sit next to each other is 2/7.

One way to solve this problem is to use the principle of inclusion-exclusion. Let A be the event that the boys sit next to each other, and let B be the event that the girls sit next to each other. Then, we want to find the probability of the complement of (A or B), which is the probability that neither A nor B occurs.

The probability of A occurring is the same as the probability of the 5 boys sitting in a row, which is 5! (since each order is equally likely). Similarly, the probability of B occurring is 5!. However, we need to subtract the probability of A and B occurring simultaneously. This can be seen as follows: once the boys are seated in a row, there are 6 spaces (between or on the ends) where the girls can be seated. Thus, the probability of A and B occurring is 2*5!*6.

Therefore, the probability of neither A nor B occurring (i.e., the probability that no two people of the same sex sit next to each other) is:

P(neither A nor B) = 1 - P(A or B) = 1 - [P(A) + P(B) - P(A and B)]

= 1 - [(25!) / 10! - (25!6) / 10!]

= 1 - [25!*(1 - 6/9!)]

= 2/7

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Answer:

To find the probability of choosing a hat, we divide the number of hats by the total number of choices = #hat / #clothes = 5 / (5+10+15+20) = 5 / 50 = 1 / 10 = 0.1.

Step-by-step explanation:

The image of the point (0, 3) after dilation by a scale factor of 2 centered at the origin is (0, 6).

Dilation is a transformation in which a figure is enlarged or reduced by a scale factor.

We are to find the image of (0,3) after a dilation by a scale factor of 2 centered at the origin.

The scale factor is 2, which means the figure will be enlarged.

To find the image of (0, 3) after dilation, we multiply its x-coordinate and y-coordinate by 2.

Hence;

(0, 3)

Multiply the coordinates by 2.

(0 × 2, 3 × 2)

= (0, 6)

Therefore, the image after dilation is (0, 6).

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The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

The solution of the given problem of function comes out to be Option C,  t ≥ 0, which is the proper domain for the specified function

Each subject will include a range of problems on the final exam covering both real and fictitious locations as well as the formation of numerical factors. a diagram illustrating the connections between various components that work together to produce the same outcome. A service is made up of several individual components that work together to produce unique outcomes for each input.

Here,

In order to represent the height of the ball above the ground after t seconds, the function

=>  h(t) = -3t² + 9t + 12

has the correct domain of C. t ≥ 0.

Reason: Since time (t) here refers to the duration in seconds since the ball was thrown, it cannot be negative.

Therefore, t values greater than or equal to 0 should be the only values allowed in the function's domain.

Option C,  t ≥ 0, is the proper domain for the specified function and accurately represents this limitation.

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Answer: Oy = 15.5x

Step-by-step explanation: Gas mileage refers to the quantity of miles driven per unit volume of gasoline, typically expressed as "miles per gallon." In the context of the present inquiry, the vehicle in question exhibited a capacity to traverse a distance of 310 miles subsequent to the utilization of 20 gallons of gasoline. Thus, it is possible to calculate the gas mileage through the division of the quantity of gas consumed by the distance elapsed, resulting in:

The fuel efficiency of a vehicle, represented by the metric of gas mileage, is typically calculated by the ratio of distance traveled in miles to the amount of fuel consumed in gallons. In the present case, the gas mileage is equivalent to the quotient of 310 miles by 20 gallons, resulting in an efficiency rating of 15.5 miles per gallon.

The sets of transformations that result in the same image when performed in any order are:

Translation, dilation with center (0,0)

Two translations

In mathematics, a transformation refers to a process that changes the size, shape, position, or orientation of a geometric figure or an object in a coordinate plane or space. There are several types of transformations, such as translation, rotation, reflection, and dilation, which are used to alter the original figure to create a new one that is similar or congruent to the original. Transformations are used in geometry, algebra, and other branches of mathematics to study and understand various properties of geometric shapes and objects.

Here,

For the first set, if we perform a translation followed by a dilation with center (0,0), the result will be the same as if we perform the dilation first followed by the translation. This is because the dilation does not change the direction of the translation, and the center of dilation is at the origin, so the translation is unaffected.

For the second set, any two translations can be combined to form a single translation, so the order in which they are performed does not matter.

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The solution shown in the graph is (-4, 0)

Here we have a system of equations graphed, the solutions of the system are all the points where the graphs of the functions (lines in this case) do intercept.

Then, in this case the solution is where the lines red and blue intercept, that happens at the point (-4, 0).

So that is the solution of the system of equations.

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5. The value of x in the figure is

7. Length of arc AD is 125 degrees

8. Angle ROT is 36.87 degrees

The length of chord x is solved using Pythagoras theorem as follows

5.

let x/2 = y then we have

y² = 12² - 9 ² = 144 - 81 = 63

y = √63 = 3√7

and x/2 = y = 3√7. so x = 6√7

7. BD is the diameter hence arc BAD = 180 degrees

if arc ABC is 110 then arc BA = 110 /2 = 55

Arc AD = arc BAD - arc BA

Arc AD = 180 - 55

Arc AD = 125 degrees

8. Angle ROT = arc sin (3/5)

Angle ROT = 36.87 degrees

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The equation for the proportional relationship between the number of hours Corrie works, h, and her total pay, P, can be represented as [tex]P = Ph[/tex].

If we assume that Corrie's pay rate is P dollars per hour, then the equation for the proportional relationship between the number of hours Corrie works, h, and her total pay, P, can be represented as P = Ph, which simplifies to:

P = hP

Here, the P is the pay rate in dollars per hour, and h is the number of hours worked. Note that this equation is similar to the original equation e = 23h, except that the constant of proportionality has been replaced with the pay rate, P.

Full question "The proportional relationship between the number of hours Corrie works, h, and his total earnings in dollars and cents, e, can be represented by the equation e = 23h. Write an equation for the proportional relationship between the number of hours Corrie works, h, and her total pay, P."

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Answer:

To find the button's radius, we need to divide its diameter by 2, since the radius is half the size of the diameter.

radius = diameter ÷ 2

Given that the diameter of Ted's button is 10 millimeters, we can substitute it into the above formula to get:

radius = 10 mm ÷ 2

radius = 5 mm

Therefore, the button's radius is 5 millimeters.

Answer:

3

Step-by-step explanation:

Because same numbers = same y intercept but I'm not sure

Answer:

  1) The image has the same slope, different y-intercept

Step-by-step explanation:

You want the relationship between the line 3x -5y = 4 and its image dilated by a factor of 5/3 centered at the origin.

Dilation about the origin multiplies every coordinate by the dilation factor. Dilation does not change slopes or angles, but it changes lengths by the dilation factor.

When the equation of a line is written in standard form, the dilation of it effectively multiplies the constant by the dilation factor.

The given line has intercepts ...

  ax +by = c

  x-intercept = c/a = 4/3

  y-intercept = c/b = -4/5

If these values are multiplied by the dilation factor 5/3, they become ...

  x-intercept' = (5/3)(4/3) = 20/9 = 2 2/9

  y-intercept' = (5/3)(-4/5) = -4/3 . . . . . note the y-intercept has changed

The slope of the given line can be determined from its intercepts:

  m = (-y intercept)/(x intercept) = -(-4/5)/(4/3) = 3/5

Since both of these intercepts are multiplied by the same dilation factor, their ratio remains unchanged. The slope of the dilated line is the same.

Effectively, the dilated line's equation is ...

  3x -5y = 4(5/3)

  3x -5y = 20/3

__

Additional comment

The original (dashed) line and its dilated image are shown in the attachment.

The number 369.964 in expanded form as 369.964 = 300 + 60 + 9 + 0.9 + 0.06 + 0.004

To express 369.964 in expanded form, we must break down the number by its place value. The digits to the left of the decimal point represent whole numbers, while the digits to the right represent fractions or decimals.

So let's start with the whole number part, 369. We can express this in expanded form by breaking it down into its component parts according to its place value. The digit 3 is in the hundreds place, which means it has a value of 300. The digit 6 is in the tens place, which means it has a value of 60. The digit 9 is in the ones place, which means it has a value of 9. Therefore, we can write 369 in expanded form as:

369 = 300 + 60 + 9

Now let's move on to the decimal part, 0.964. The digit 9 is in the tenths place, which means it has a value of 0.9. The digit 6 is in the hundredths place, which means it has a value of 0.06. The digit 4 is in the thousandths place, which means it has a value of 0.004. Therefore, we can write 0.964 in expanded form as:

0.964 = 0.9 + 0.06 + 0.004

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Answer:

act back its also known as act or tactics

Hi

1/5 is mint  : so  30*1/5 = 6

1/2 of what remain is chocolate :  which mean  (30-6) /2 = 24/2 = 12

So vanilla will be :  30-6-12 =  30-18 = 12

recap :  6 mint, 12 chocolate and 12 vanilla.