Emily liked to shoot baskets. She took 50 shots a day and kept track of how many she made for 10 days. Here are the number of shots she made: 22, 25, 27, 37, 32,
19, 25, 45, 32, 33

Area in term of height- This method works well with right-angled triangles or in situations where the base as well as height are known:

Area = 1/2 x base x  height

TRIANGLE REGION: Triangles' areas can be determined in three simple ways. Each method works best with a specific kind of triangle.

These techniques:

Lets assume a triangle.

Area is equal to half of a base times a height.

Area = 1/2 x base x  height.

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The slope to a line perpendicular to y = 3x + 1 is -1/3.

The ratio of how much y grows as x grows by a certain amount is called the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is. Nowhere on the line has a different slope; it is constant. We frequently seek to quantify the steepness in mathematics. The difference between slope A and slopes B and C is obvious. While slope A is just four units high, they both stand at seven. It would therefore seem that steepness and height are related.

Given

Equation

y = 3x + 1

Using slope intercept from,

y = mx + b

m = slope

m = 3

Slope which is perpendicular

= -1/m

= -1/3

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“5 more than a number” written as an algebraic expression is “x+5”.

In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra. Similar to how a statement explains the link between certain words, algebraic equations describe the connection between unknown variables. 

We are given a mathematical statement and have to convert it into an algebraic expression using the information above.

Let there be a number “x”.

A number 5 more than this number is obtained after adding 5 to the given number.

So a number 5 more than x is equal to x+5.

Hence “5 more than a number” written as an algebraic expression is “x+5”.

Complete question: How do you write 5 more than a number?

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Answer:

y ≈ 76.4°

Step-by-step explanation:

To solve for the angle a trigonometric function is being used on, we have to use the inverse of the trigonometric function.

Inverse of tan(y°) = 4.12:

[tex]tan^-1(4.12) = y[/tex]

Next, I used a scientific calculator to find the angle measure of y.

[tex]76.4 = y[/tex]

Congruence theorem can be used to prove WXS = YZS is  ASA.

What is Congruence theorem ?

If two triangles are identical in size and shape, they are said to be congruent. Corresponding sides (sides in the same location) and corresponding angles (angles in the same position) are congruent when triangles are congruent (equal).

Point S makes the two connected angles the same. They both have right angles.

And one side of each is congruent.

This means you know 2 angles are the same and one side is the same.

You would use ASA (Angle, Side, Angle).

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You may use three triangle-specific theorems to quickly distinguish similar triangles.

There are three theorems that may be used to determine whether two triangles are similar: Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS).

SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides. The triangles are congruent if their third sides are the same as those of another triangle.

That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle are the same as the two sides and included angle of another triangle. Any angle that is created by two specified sides is an included angle.

According to the AA postulate of Euclidean geometry, two triangles are similar if their two corresponding angles are congruent. The fact that the sum of a triangle's internal angles is always equal to 180° leads to the AA postulate.

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Answer:

A. It is an increase in assets.

Step-by-step explanation:

The Debit section shows what the business purchased which is $12,000 worth of equipment. Hence, the business gained equipment worth $12,000 which is an increase in assets.

Answer:

A. It is an increase in assets.

Step-by-step explanation:

The entry "Equipment 12,000" is listed as a debit in the T-account because it is an increase in assets.

A T-account is a visual representation used in accounting to track and display the balances of a specific account, with the "debit" side showing increases and the "credit" side showing decreases.

When office equipment is purchased, it represents an increase in the company's assets. An increase in assets (or a decrease in liabilities) is recorded as a debit on a company's balance sheet.

In this case, the business is acquiring equipment, which is considered an asset, and therefore, it is debited to reflect the increase in the asset account.

Answer: 10

Step-by-step explanation:

Because 0.25 or 25%

We take 40 times 0.25 =  10

Students are pushed by reform mathematics curricula to make sense of novel mathematical concepts through investigations and projects, frequently in practical settings.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Students are pushed by reform mathematics curricula to make sense of novel mathematical concepts through investigations and projects, frequently in practical settings. Writing and speaking clearly, cooperating in groups, and drawing connections between ideas and representations are all stressed in reform textbooks.

Translation, rotation, reflection, and expansion are the four different types of transformation. Each change must be carried out, and you must be able to tell which transformations have been carried out.

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Answer: 49/ 16

Step-by-step explanation:

-3.5 or -35/ 10 = - 7/2

-7/8 times -7/2 = 49/ 16

Negative time negative will be positive!

The sum of the geometric sequence is 88,573.

The formula for the sum of a geometric sequence is

S = a₁(1 - rⁿ)/(1-r),

where a₁ is the first term of the sequence, r is the common ratio between terms, and n is the number of terms in the sequence. In this case, the first term is a₁ = 1, the common ratio between terms is r = 3, and the number of terms is n = 10. Inserting these values into the formula,

we get S = 1(1 - 3⁹)/(1-3) = 1(1 - 19,683)/(-2) = -9,841.5.

Therefore, the sum of the geometric sequence is 88,573.

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To find horizontal line,its equation is y=b where b is constant.Horizontal line is parallel to x-axis of the coordinate plane.To find vertical ,its equation is x=b where b is constant.Vertical line is parallel to y-axis.

A horizontal line is a line extending from left to right and right to left.The slope of horizontal line is always zero.Horizontal lines are always parallel to x-axis.The y-intercepts of a horizontal line y=b is the point (0,b).

A vertical line is a line extending from up to down and downward to upward.Its never moves left to right.Vertical lines are always parallel to y-axis.The equation of a vertical line is x=a and x=-a where x is the x-coordinate of ant point on the line and a is the point where he line crosses the x-intercepts.

Hence we can find horizontal and vertical lines on the graph or paper easily.

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The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

What is Standard Deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.

The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.

The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.

To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.

Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.

So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

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Answer: The mean is less than the median IQ

Step-by-step explanation:

When a distribution is skewed left (there is an obvious tail going in the left direction, which is true in this case), then the mean is drawn down because it is not resistant to any outliers, or unusual data points.

The median, however, is resistant to outliers and will not move as much.

Therefore, the mean will be less than the median.

The relationship between the mean and median of a data set is determined by whether the data is symmetrically distributed, positively skewed, or negatively skewed. However, without a visual representation or specific values, we cannot definitively compare the mean and median of the IQ scores.

In order to determine the relationship between the mean and the median of a data set, we need to know the nature of its distribution. If the data is symmetrically distributed, the mean and the median will be equal. If the data is positively skewed (has a long right tail), the mean will be larger than the median. If the data is negatively skewed (has a long left tail), the mean will be less than the median.

However, in the absence of the actual histogram in your question, the correct answer would be 'It cannot be determined because we cannot tell the exact values of the IQ scores in the sample.' This is because without a visual representation or specific values, we cannot determine the distribution's skewness, and by extension, cannot compare the mean and median.

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Answer:

Step-by-step explanation:

Your question asks what is  -[tex]3^{2}[/tex] / 2    but,  since it's on the Unit circle, I know you meant   - [tex]\sqrt{3}[/tex] /2    Also, it's one of those known angles on the unit circle.

note that the angles can all be put in the form of  [tex]\sqrt{x}[/tex] / 2 , where x = 0,1,2,3,4 ,  for the five special points on the unit circle.  

as the attached pic shows,   Cos(t) for the given point would be 180-150°= 30 and sin(t) would be 90 - 30 = 60 °

it's not easy to understand how I got those angles,  just ask if you don't get it.  :)

The two expressions equal to the area of the figure are (6×10) + (6×6) + (6×10) square centimeters and (6×4) + (18×6) + (6×4) square centimeters. Select these options

Consider the images I attached:

First image:

The area of the figure = area of rectangle A + area of rectangle B + area of rectangle C

The area of the figure = (6×10) + (6×6) + (6×10)

Second image:

The area of the figure = area of rectangle D + area of rectangle E + area of rectangle F

The area of the figure = (6×4) + (18×6) + (6×4)

Thus, (6×10) + (6×6) + (6×10) square centimeters and (6×4) + (18×6) + (6×4) square centimeters are the two expressions equal to the area of this figure

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Answer:

45, 60, 75

Difference between the largest and smallest angles

75 - 40 = 35

Step-by-step explanation:

First solve for x.  The sum of the interior angles of a triangle is 180

3x + 4x + 5x =180  Combine like terms

12x + 180  Divide both sides by 12

[tex]\frac{12x}{12}[/tex] = [tex]\frac{180}{12}[/tex]

x = 15

3x = 3(15) = 45

4x = 4(14) = 60

5x  = 5(15) = 75

Step-by-step explanation:

please, burn this into your brain for life :

the sum of all angles in a triangle is always (yes, no exceptions) 180°.

so,

3x + 4x + 5x = 180

12x = 180

x = 180/12 = 15

3x = 3×15 = 45°

4x = 4×15 = 60°

5x = 5×15 = 75°

the difference between largest and smallest angle is therefore

75 - 45 = 30°

The statement regarding the correlation coefficient (r) that is true is b) "the correlation coefficient describes the direction of the association between two variables."

The correlation coefficient is a measure of the strength and direction of the relationship between two variables. A correlation coefficient of 1 implies a strong positive correlation between the variables, meaning that as one variable increases, the other variable also tends to increase.

A correlation coefficient of -1 implies a strong negative correlation between the variables, meaning that as one variable increases, the other variable tends to decrease. A correlation coefficient of 0 implies no correlation between the variables. The sign of the correlation coefficient (positive or negative) indicates the direction of the association between the variables, while the magnitude of the coefficient (closer to 1 or -1) indicates the strength of the association.

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The square root of some number 'X' is a number which, when you multiply it by itself, the answer is 'X'.

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is [tex]\sqrt{x}[/tex] . Finding the square root of a number is the opposite of squaring a number.

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16.

Thus , the square root of some number 'X' is a number which, when you multiply it by itself, the answer is 'X'.

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The value of x is 20 units.

The correct answer is 20 units .

According to the triangle,

ST = 9, TQ = 16 and RQ = x

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1)

{∵ RT 丄 Hypotenuse SQ}

Δ SRQ ⩭ Δ RTQ ------(2)

{∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

⇒ SR/ST = SQ/SR = RQ/TR

⇒ SR/9 = 25/SR = x/TR

⇒ SR2 = 25 × 9

⇒ SR = 5 × 3 = 15

[tex]SR^2[/tex] + [tex]RQ^2[/tex] = [tex]SQ^2[/tex]

[tex]RQ^2 = SQ^2 - SR^2[/tex]

[tex]RQ^2 = 25^2 - 15^2[/tex]

RQ = x = √(625 - 225) = √400

x = 20 units.

Hence, The value of x is 20 units.

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The complete question is this:

What is the value of x?

12 units, 15 units, 20 units, 24 units

If the polygon has four right angles , then it is a square when all four sides are equal and a rectangle when the opposite sides are equal .

The Polygon is defined as closed object that is made of line segments rather than curves on a 2 - D plane .

A square is defined as a polygon in which all the angles are right angles and pair of opposite sides are equal .

A rectangle is defined as polygon that have all the angles as right angles and all four sides are equal .

From above definitions , we can say that ,

A polygon that has four right angles , is a square when all four sides are equal and it is a rectangle when pair of opposite sides are equal .

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Solving and graphing of inequality can be done by following rules of simplification and graphing accordingly.

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever. Integers are arranged on a number line in the image above.

On the number line, find the first number. To add, take as many steps to the right as the second number. Move as far to the right as the second number in order to subtract. The solution is the number you finally select.

When resolving an inequality, you can do one of the following: • Add the same amount to each side; • Subtract the same amount from each side; • Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.

To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (). Leave the circle blank if the sign doesn't include equal to (> or <).

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Answer:

False

Step-by-step explanation:

Vertical angles are always congruent regardless of if the lines are parallel.

Lines that have the same slope are said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are merely intersecting lines.

A line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. and

m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. and

m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer:

D. Line symmetry

Step-by-step explanation:

I am pretty sure it is Line symmetry because it has a line pass through the vertex and divides the graph into two equal halves. If I am wrong, I am sorry!

Completing the table using equivalent ratios Willka can cover 4.5 m² of the area with 1 - liter paint.

Given :

What are equivalent ratios?

Equivalent ratios are the ratios that express same relation or numbers that are equivalent.

so area covered for 1 paint

13.5 / 3 = 4.5

4.5 for 1 paint

for 10 paint :

Area covered = 4.5 * 10

= 45

Table :

Area covered  ( m^2 )        paint ( L )

13.5                                      3

4.5                                        1

45                                         10

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The roots of the quadratic equation 4x2 − 7x + 0 are -7/4 and 0.

A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. Quadratic equations are used to solve problems involving areas, lengths, and other geometric figures, as well as to find unknown values. Such equations are often used in calculus and physics.
To find the roots, you can use the quadratic formula, which is x = -b ± √b2 - 4ac/2a. In this case, a = 4, b = -7, and c = 0, so the roots are -7/4 and 0.
Another way to find the roots is to use the factoring method. To factor 4x2 − 7x + 0, you can factor out 4x and then group the terms to get 4x(x − 7) + 0. Then you can set each factor equal to zero to get x = 0 and x = 7. Therefore, the roots of the equation 4x2 − 7x + 0 are -7/4 and 0.
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The simplified equation for finding the inverse of y = 2x² is x = 2y².

It is worth noting that the inverse of y = 2x² is √x/2 = y.

x = 2y²

Make the subject of the formula 'y²'.

x/2 = y²

Make 'y' the subject of the equation by taking the square root of both sides.

√x/2 = √y²

The square root cancels out the square.

√x/2 = y

Thus, the simplified equation for finding the inverse of y = 2x² is,

x = 2y².

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