calculate the mean of a given group of data points. you should not hard-code the dimensionality of the data points.

The number of hotdogs sold is  75

The number of chips sold is 100

What is Linear Equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

The linear equation to solve the equation will be:

h + s = 175....( 1 )

2.50h + 0.75s = 262.50....(2)

From equation 1,  s = 175 - h____(3)

Put equation 3 into 2

2.50h + 0.75s = 262.50

2.50h + 0.75(175 -h) =262.50

2.50h + 131.25 - 0.75h = 262.50

Collect like terms

2.50h - 0.75h = 262.50 - 131.25

1.75h = 131.25

h = 131.25/1.75

h = 75

The number of hot dogs is 75 while the number of snacks is 100.

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Answer:

PAGE ONE

1 1 [175]

2.5 0.75 [262.5]

The number of hotdogs sold was 75

The number of chips sold was 100

PAGE TWO:

Identify what is known and what is needed.

Represent the unknowns with variables.

Represent the information in a table.

Construct a linear system.

Represent the linear system with matrices.

Use matrix techniques to solve the problem.

PAGE THREE:

graphing

algebraic methods

using inverse matrices

transforming an augmented matrix to reduced row echelon form Cramer’s rule

PAGE FOUR:

How many total ounces of perfume are in the result in each trial (each row)? 

10oz

Homw many ounces of rose oil are in the result in trial 1 (row 1)? 

2.2oz

Let x1, x2, and x3 represent the concentration of rose oil in each sample. Fill in the matrix equation:

2 4 4

4 2 4

1 7 2

What are the concentrations in percent? 

X1 = 50

X2 = 25

X3 = 5

PAGE FIVE:

11 16 25

15 22 8

9 12 17

What was the cost of each item? Round your answers to the nearest cent.

Widgets: $22.53

  Gizmos: $31.67

  Blibbets: $ 8.66

PAGE SIX:

calories per gram:

Fat: 9

Carbohydrate: 4

Protein: 4

Step-by-step explanation:

Images r linked below

Answer:

V=82944

Step-by-step explanation:

FORMULA (Im guessing u just wanted answer but if u want formula there u go.

V= 1/3(a^2h)

Answer:

\(576 ~cubic ~centimeters\)

Step-by-step explanation:

\(B=144cm^2\)

\(h=12cm\)

\(V=1/3~B*h\)

\(=1/3(144)(12)\)

\(=576 cm\)

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

hope it helps...

have a great day!!

Answer:

75%

Step-by-step explanation:

Answer:

x= 2/3 or x= −4

Explanation:
3x2+16x−10=6x−2

Step 1: Subtract 6x-2 from both sides.

3x2+16x−10−(6x−2)=6x−2−(6x−2)

3x2+10x−8=0

Step 2: Factor left side of equation.

(3x−2)(x+4)=0

Step 3: Set factors equal to 0.

3x−2=0 or x+4=0

x=2/3 or x= −4

Answer:

A

D

Step-by-step explanation:

Answer:

●A. (4x + 16)° = 180°

○B. x° = 49°

○C. m<A = 99°

● D. From smallest to largest: <B, <C, <A

The answers are both A and D.

a. Jump with a bobbing motion: Shortest jump  b. Jump from deep knee flexion: Intermediate jump

c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:

a) The bobbing motion involved bending and extending the knees and arms during the jump.

b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.

c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.

The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.

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Answer:

7%

Step-by-step explanation:

Percentage Decrease = \(\frac{Original Value - New Value}{Original Value} * 100\)

Percentage Decrease = \(\frac{12500 - 11625}{12500} * 100\)

Percentage Decrease = 7%

Answer:

Step-by-step explanation:

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

y= -2x+ 5

Step-by-step explanation:

plug in y=mx+b

The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.

An equation in the slope-intercept form is written as y = mx + c.

The given equation is 2x + y = 5.

To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,

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

2x + y - 2x = 5 - 2x

y = 5 - 2x

Rearrange the terms

y = -2x + 5

Here, -2 is the slope and 5 is the intercept.

Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.

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In this scenario, a group of 10 people is sitting at a circular table for a discussion. One person, the leader, always sits in the same seat, while the other 9 seats are variable. However, there are 3 individuals in the group who do not want to sit next to each other. The task is to determine the number of arrangements for the group members around the table.

To solve this problem, we can break it down into two steps. First, we arrange the 3 individuals who do not want to sit next to each other. This can be done using the principle of permutations without repetition. Since there are 3 individuals to arrange, we have 3! (3 factorial) ways to arrange them.

Next, we arrange the remaining 7 individuals (including the leader) and the empty seats. Since the table is circular, we consider it as a circular permutation. The number of circular permutations for 7 individuals is (7-1)! = 6!.

Finally, we multiply the number of arrangements for the 3 individuals by the number of circular permutations for the remaining 7 individuals. So, the total number of arrangements is 3! * 6!.

In general, for a circular table with n seats and m individuals who do not want to sit next to each other, the number of arrangements would be m! * (n-m)!.

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Answer:

The initial value is the y value when x is zero.  Look at the table to help you determine the y value when x is zero and that is your answer.

Step-by-step explanation:

Answer: i believe is c or d i not 100% sure

Answer: 47 your welcome :)

10 + 8 = 18

18 x 4 = 72

72 + 5 = 77

The answer is 77

Based on the distance between Martha and Matthew and the distance of Matthew from the launch point, the height of the balloon is 12 meters.

The height of the balloon can be found by using the Pythagorean theorem as this situation models a right angled triangle.

The height of the balloon is:

Distance between Matthew and Martha² = Distance of Matthew from launch point² + Height²

20² = 16² + Height²

Height² = 20² - 16²

Solving gives:

Height² = 400 - 256

Height = √144

= 12 meters

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Answer:

this is false

Step-by-step explanation:

it's false because 8 is not the same value as 1/8

Answer:

true

Step-by-step explanation:

if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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To evaluate the principal value of the integral 00 dx / (x^2 + 2), we need to find the limit of the integral as the limits of integration approach 0 from both the positive and negative sides. The Principal value of the integral = arctan(x / sqrt(2)) + C.

Evaluate the principal value of the integral ∫(1 / (x^2 + 2)) dx
Here is a step-by-step explanation to solve this integral:
Step 1: Identify the function to integrate
The given function is f(x) = 1 / (x^2 + 2).
Step 2: Perform substitution
We can perform a trigonometric substitution to make integration easier. Let x = sqrt(2) * tan(u), so dx = sqrt(2) * sec^2(u) du.
Step 3: Rewrite the integral with substitution
The integral becomes ∫(sqrt(2) * sec^2(u) du / (2*tan^2(u) + 2)).
Step 4: Simplify the integrand
Simplify the expression inside the integral to get ∫(sec^2(u) du / (sec^2(u))).
Step 5: Integrate the simplified expression
Since the numerator and denominator are the same, the integrand simplifies to 1. Now, we just need to integrate ∫1 du. The result is the integral of 1 with respect to u, which is simply u + C, where C is the constant of integration.
Step 6: Replace u with the original variable
Recall that we set x = sqrt(2) * tan(u), so u = arctan(x / sqrt(2)). Therefore, the final answer is:
Principal value of the integral = arctan(x / sqrt(2)) + C

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The lines y = 2 and x = 4 are neither parallel nor perpendicular.

The given lines are y = 2 and x = 4.

The line y = 2 is a horizontal line because the value of y remains constant at 2, regardless of the value of x. This means that all points on the line have the same y-coordinate.

On the other hand, the line x = 4 is a vertical line because the value of x remains constant at 4, regardless of the value of y. This means that all points on the line have the same x-coordinate.

Since the slope of a horizontal line is 0 and the slope of a vertical line is undefined, we can determine that the slopes of these lines are not equal. Therefore, the lines y = 2 and x = 4 are neither parallel nor perpendicular.

Parallel lines have the same slope, indicating that they maintain a consistent distance from each other and never intersect. Perpendicular lines have slopes that are negative reciprocals of each other, forming right angles when they intersect.

In this case, the line y = 2 is parallel to the x-axis and the line x = 4 is parallel to the y-axis. Since the x-axis and y-axis are perpendicular to each other, we might intuitively think that these lines are perpendicular. However, perpendicularity is based on the slopes of the lines, and in this case, the slopes are undefined and 0, which are not negative reciprocals.

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We will find the sum of 3+ 1 1/2 with help of a

Answer:6500.00

Step-by-step explanation:

If we're talking about the hundreds, that will be the third digit to the left of the decimal. 8 is greater than 5 so we're rounding up, making 485.91 500, so your answer is 6500

Answer: i think it is 7499.01??

Step-by-step explanation:

I actually don't know i am guessing?!

Answer:false

Step-by-step explanation:

The solution of the given fraction can be gotten through filling the boxes with the following values respectively;

8/100 + 9/10 = 98/100

A fraction is defined as the representation of a part of a whole value in the form of a numerator and denominator.

The given fraction;

8/100 + 9/10 = ?

Find the lowest common multiple of the denominator = 100.

= 8/100 + 9/10

= 8 + 90/100

= 98/100

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Ms. Dulaney works with 208 different students. each day.

It is given that Ms. Dulaney taught 7 classes each day that had 2 students each.

We also know that after school, Ms. Dulaney coached the girl's track team. The girl's track team had 47 such students that did not have a class with Ms. Dulaney.

Here, we need to find the number of different students Ms. Dulaney worked with.

Therefore the different students she works with will be

Total no. of students she teaches in class + no. of students in the track team that do not have a class with Ms. Dulaney

= No. of students in each class X no. of classes  +  47

= 23 X 7    +    47

= 161 + 47

= 208 students

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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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Answer:

306

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

-18x-17 is 306 because a negative number times a negative number is always a positive so it would be 18x17 which is 306

There are 3,628,800 ways to seat the four women and six men in a row of ten chairs when there are no restrictions.

If there are no restrictions on the seating arrangement of the four women and six men, then the number of ways to seat them in a row of ten chairs can be calculated as follows:

First, we have 10 choices for the person who will sit in the first chair. After this, we have 9 choices for the person who will sit in the second chair, as one person has already been seated.

We continue in this way until we have only one choice left for the person who will sit in the tenth chair. Therefore, the total number of ways to seat the ten people in a row is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800

So there are 3,628,800 ways to seat the four women and six men in a row of ten chairs when there are no restrictions.

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Answer:

\(=\frac{2a^4}{3bd}\)

Step-by-step explanation:

Given expression is,

\(\frac{2ab^{-1}}{3a^{-3}d}\)

Further simplify the expression by converting the negative exponents into positive.

\(b_1=\frac{1}{b}\)

\(a^{-3}=\frac{1}{a^3}\)

By substituting these terms in the given expression,

\(\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}\)

         \(=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }\)

         \(=\frac{2a}{b}\times \frac{a^3}{3d}\)

        \(=\frac{2a^4}{3bd}\)

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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