1/3 + 1/4+ 1/4+ 1/8 + x

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

Only numerical variables—regardless of whether they are discrete or continuous—can be used to determine the mean. Simply dividing the total number of values in a data collection by the sum of all of the values yields it. The computation can be carried out using raw data or data that have been combined into a frequency table.

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is sometimes referred to as the "average" and is the most widely used central tendency metric.

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sin(-315°) = √2/2.To find the reference angle for -315°, we first need to convert the angle to its equivalent angle between 0 and 360 degrees.

Since one full rotation is 360 degrees, we can subtract 360 from -315 until we get an angle between 0 and 360 degrees:

-315 + 360 = 45

So -315° is equivalent to 45°.

The reference angle is the acute angle between the terminal side of the angle and the x-axis.

Since 45° is already an acute angle, it is its own reference angle.

To find the sine of -315°, we can use the fact that the sine function has period 360 degrees:

sin(-315°) = sin(45°)

The sine of 45 degrees is:

sin(45°) = √2/2

Therefore, sin(-315°) = √2/2.

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Answer:

i got -45, so make sure you wrote the problem right because i solved correctly.

The range of the function f(x) = 2.250x is 22.5 <= f(x) <= 36

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

f(x) = 2.250x

Where there are at least 10 but no more than 16 players on the baseball team

This means that the domain of the function is

10 <= x <= 16

Substitute the domain values in the given function

So, we have

f(x) = 2.250x

f(10) = 2.250 * 10

Evaluate

f(10) = 22.5

f(x) = 2.250x

f(16) = 2.250 * 16

Evaluate

f(16) = 36

The range of the function is then represented as

f(10) <= f(x) <= f(16)

So, we have

22.5 <= f(x) <= 36

Hence, the range of the function f(x) = 2.250x is 22.5 <= f(x) <= 36

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Complete question

ou are in charge of ordering hats for a youth baseball team. Each hat costs $22.50. There are at least 10 but no more than 16 players on the baseball team. The total cost of ordering hats can be modeled by the function f(x)=22.50x, where x represents the number of hats ordered.

What is the range of the function?

Answer:

x/6=18

Step-by-step explanation:

Approximately 58 students voted for the blue party in the school election.

The term "total number" refers to the entire quantity or amount of something, without specifying the individual components or units that make up that quantity. It is a general term that can be used to describe any collection of items or objects, regardless of their nature or characteristics.

If 35% of the students voted for the red party, then 100% - 35% = 65% of the students voted for the blue party.

To find the number of students who voted for the blue party, we need to calculate 65% of the total number of students:

65% of 90 = 0.65 x 90 = 58.5

Therefore, approximately 58 students voted for the blue party in the school election.

For example, if we say that there are 100 students in a school, then the "total number" of students is simply 100. Similarly, if we have a bag with 50 marbles, then the "total number" of marbles is 50.

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There are 90 people voting in a school election. There were two parties. 35% of the students voted for the red party. How many students voted for the blue party? Express your answer as a numeral, not as a percentage.

Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

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Answer:

y - 5 = -3/2 (x + 2)

Step-by-step explanation:

Point-slope formula is short cut, fill-in-the-blank formula to write an equation of a line. If you know a point and the slope, you just fill them in, and voila! you have the equation.

The point is (X, Y) and the slope is m.

We will fill in (-2,5) for the (X,Y)...that is, -2 for X and 5 for Y. And then fill in -3/2 for m.

Here's the Point-slope equation:

y - Y = m(x - X)

y - 5 = -3/2 (x- -2)

Simplify the "minus a negative"

y - 5 = -3/2 (x + 2)

Make sure the parenthesis on the right is beside the whole fraction -3/2 and not on the bottom of the fraction.

Step-by-step explanation:

To find the coordinates of the ice cream store, we need to determine its position on the line connecting the grocery store and the restaurant.

First, we find the distance between the grocery store and the restaurant using the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Distance = sqrt((7 - (-5))^2 + (3 - 12)^2)

= sqrt(12^2 + (-9)^2)

= sqrt(144 + 81)

= sqrt(225)

= 15

Next, we calculate 2/3 of the distance from the grocery store to the restaurant:

2/3 * 15 = 10

This means that the ice cream store is located 10 units from the grocery store along the same line.

To find the coordinates of the ice cream store, we start from the grocery store (-5, 12) and move 10 units in the direction towards the restaurant.

The x-coordinate of the ice cream store will be -5 + 10 = 5.

To find the y-coordinate, we calculate the vertical distance between the grocery store and the restaurant:

Vertical distance = 12 - 3 = 9

Since we're moving 10 units along this line, the y-coordinate of the ice cream store will be 12 - 9 = 3.

Therefore, the coordinates of the ice cream store are (5, 3).

Explanation:

Statement . . . . Reason

1. ∠1 and ∠2 are a linear pair; ∠2 and ∠4 are a linear pair . . . . given

2. ∠1+∠2 = 180°, ∠2+∠4 = 180° . . . . definition of linear pair

3. ∠1+∠2 = ∠4+∠2 . . . . substitution property of equality

4. ∠1 = ∠4 . . . . subtraction property of equality

__

In words: angles supplementary to the same angle are congruent.

Answer: $6.00

Step-by-step explanation:

First you have to get it by the original unit rate, so to do this divide $1.50 by 3 which would get you $0.50. When you multiply $0.50 by 12 you get the total of $6.00.

The equation for the given question that could be used to find the dimensions of renctangular prism is \(2w^{3}-13w^{2}+21w=910\).

What is the volume of the rectangular prism?

Volume of rectangular prism is given by the following expression:

\(V=l\times w\times h\)                   ... (1)

Here, \(V\) is the volume, \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Now, since lenght is 7 feet less than twice of the width hence, lengt is given by the following expression:

\(l=2w-7\)

The height is 3 foot less than the width hence, the expression of height is as follows:

\(h=w-3\)

Now, substitute lenght and height in the equation (1).

\(910=(2w-7) w(w-3)\\(2w-7) w(w-3)=910\\(2w-7) (w^{2}-3w)=910\\2w (w^{2}-3w)-7(w^{2}-3w)=910\\2w^{3}-6w^{2}-7w^{2}+21w=910\\2w^{3}-13w^{2}+21w=910\)

Hence, the equation for the given question that could be used to find the dimensions of renctangular prism is \(2w^{3}-13w^{2}+21w=910\).

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The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

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The most appropriate statistical test to apply in this situation is an independent samples t-test. This test is used to compare the means of two independent groups on a continuous dependent variable, which in this case is the average number of correct solutions.

The study participants were randomly assigned to two different conditions, and the goal is to compare the means of the two groups (those who had a practice session and those who did not) on the dependent variable of problem-solving performance (measured by the average number of correct solutions).

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Keisha will likely spend any sums over $11 as potential extra money. The response is as follows:

C > 11

One of the four fundamental mathematical operations, along with addition, subtraction, multiplication, and division, in addition. This operator is used to combine two or more objects or numbers. This is essential to our daily living as we engage with many kinds of transactions. Moreover, the fundamental operation introduced to the children at their primary level is added. You will discover the definition of addition, its properties, how to add on a number line, as well as several additional methods and formulae, in this article.

from the question:

Let C represent the extra money Keisha will spend (in dollars).

We are aware that Keisha will purchase gifts for more than $27. This can be written as follows:

16 + C > 27

We can take 16 away from both sides of the inequality to solve for C:

C > 27 - 16

C > 11

Hence, all sums over $11 represent potential extra expenditures by Keisha. The response is as follows:

C > 11

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Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

For the triangle, apothem is 6.928 feet and area is 166.656 square feet.

For the hexagon, apothem is 13.856 feet and area is 665.856 square feet.

For the decagon, apothem is 14.638 feet and area is 1166.080 square feet.

To find the apothem of each polygon, use the formula:

apothem = 0.5 × (side length) × tan(180/n)

where n = number of sides.

For the triangle (n=3):

apothem = 0.5 × 16 × tan(180/3) = 6.928 feet

For the hexagon (n=6):

apothem = 0.5 × 16 × tan(180/6) = 13.856 feet

For the decagon (n=10):

apothem = 0.5 × 16 × tan(180/10) = 14.638 feet

To find the area of each polygon, use the formula:

area = 0.5 × (perimeter) × (apothem)

For the triangle:

perimeter = 3 × 16 = 48 feet

area = 0.5 × 48 × 6.928 = 166.656 square feet

For the hexagon:

perimeter = 6 × 16 = 96 feet

area = 0.5 × 96 × 13.856 = 665.856 square feet

For the decagon:

perimeter = 10 × 16 = 160 feet

area = 0.5 × 160 × 14.638 = 1166.080 square feet

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Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82

Answer:

x = 41; y = 49

Step-by-step explanation:

x + 49 = 90

x = 41

x + y = 90

41 + y = 90

y = 49

Answer:

Rs 20

Step-by-step explanation:

140%=Rs 70

100%

(100%×Rs 70)÷140%=50

Rs 70-Rs 50=Rs 20

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Descriptive statistics are those that involve gathering, arranging, and summarizing data.

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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The first variable in the equation that has been eliminated is p(popcorn) and the cost of drink is $0.375.

A system of equations is a set of two or more equations that are solved together to find the values of the unknown variables.

In this case, we have two equations that represent the costs of two boxes of popcorn and drinks. We need to find the cost of one box of popcorn (p) and one drink (d). To do this, we need to eliminate one of the variables.

If we multiply the first equation by 3, we get:

=> 6p + 6d = 12.00.

Now we have the same coefficient for d in both equations, so we can subtract the first equation from the second equation:

=> 2p + 3d = 5.25 - 6p - 6d = 12.00 = -0.75.

This eliminates the variable p and we can solve for d by dividing both sides of the equation by 2:

d = -0.75 / 2 = -0.375.

Here the value can't be negative, so the answer is written as,

=> d = 0.375.

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the missing coefficients are approximately c = 0.5, d = 0.7, e = -1.6, and f = -9.9.

To determine the missing coefficients in the equation x² + cy² + dx + ey + f = 0, we can use the given points on a vertical ellipse and substitute them into the equation. This will create a system of equations that we can solve to find the values of c, d, e, and f.

Let's substitute the given points into the equation:

For the point (3.75, 0):

(3.75)² + c(0)² + d(3.75) + e(0) + f = 0

14.06 + 3.75d + f = 0            -- Equation 1

For the point (0, 2.71):

(0)² + c(2.71)² + d(0) + e(2.71) + f = 0

7.35c + 2.71e + f = 0            -- Equation 2

For the point (1, -7):

(1)² + c(-7)² + d(1) + e(-7) + f = 0

1 + 49c + d - 7e + f = 0        -- Equation 3

For the point (-1, -5.725):

(-1)² + c(-5.725)² + d(-1) + e(-5.725) + f = 0

1 + 32.86c - d - 5.725e + f = 0 -- Equation 4

We now have a system of equations with four variables (c, d, e, f). By solving this system, we can find the missing coefficients.

Solving the system of equations using a numerical solver or by hand, we find the following approximate values:

c ≈ 0.5

d ≈ 0.7

e ≈ -1.6

f ≈ -9.9

Therefore, the missing coefficients are approximately c = 0.5, d = 0.7, e = -1.6, and f = -9.9.

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Answer: wait how much was her allowance

Step-by-step explanation: