And amusement park cost $10 for adults and six dollars for children find the total cost for two adults and three children

The min-max normalization formula, the normalized value for 4 is (4-1)/(7-1) = 0.5.

The min-max normalization formula is (x-min)/(max-min). To calculate the min-max normalized value for 4 we need to first calculate the min and max of the given datavalues. The min is 1 and the max is 7. Therefore, using the min-max normalization formula, the normalized value for 4 is (4-1)/(7-1) = 0.5. Min-max normalization is used to scale values in a dataset to a range between 0 and 1. Min-max normalization is a technique used to scale numeric values between 0 and 1. It is useful for data normalization, which helps to bring all the values within a given range. For example, if the data set contains values ranging from 0 to 10, min-max normalization can be used to scale the values between 0 and 1. The formula for min-max normalization is (x - min) / (max - min), where x is the value to be normalized, min is the minimum value in the data set, and max is the maximum value in the data set.This technique ensures that all values in a dataset are scaled to the same range. It is useful when comparing values from different datasets that have different scales.

Learn more about normalization formula here:

https://brainly.com/question/8357992

#SPJ4

The parametrization is: c(t) = (7cos(t), 7sin(t)), where 0 ≤ t ≤ 2π.

The parametrization is:c(t) = (7sin(t), 7cos(t)), where 0 ≤ t ≤ 2π.

(a) To find a counterclockwise parametrization for the circle C of radius 7, centered at the origin and starting at (7,0), we can use the parameter t as the angle in radians. The parametrization is:

c(t) = (7cos(t), 7sin(t)), where 0 ≤ t ≤ 2π.

(b) To find a clockwise parametrization for the circle C of radius 7, centered at the origin and starting at (0, 7), we can use the parameter t as the angle in radians. The parametrization is:

c(t) = (7sin(t), 7cos(t)), where 0 ≤ t ≤ 2π.

(c) To find a parametrization for the circle C of radius 7, centered at the point (1, 3), we can add the coordinates of the center to the parametrization from part (a) or (b).

Using the counterclockwise parametrizations from part (a), the parametrization for C centered at (1, 3) is:

c(t) = (1 + 7cos(t), 3 + 7sin(t)), where 0 ≤ t ≤ 2π.

Using the clockwise parametrization from part (b), the parametrization for C centered at (1, 3) is:

c(t) = (1 + 7sin(t), 3 + 7cos(t)), where 0 ≤ t ≤ 2π.

These parametrizations describe the points on the circle C with the desired orientations and starting points.

To know more about parametrizations, visit:

https://brainly.com/question/10178625

#SPJ11

The width of the mattress is 7.

Give that

Now as we know that

Area of the rectangle = Length × width

56 square feet = 8 × (x + 4)

56 = 8x + 32

56 - 32 = 8x

x = 3

So, the width is

= 3 + 4

= 7

Therefore we can conclude that the the width of the mattress is 7.

Learn more about the area here: brainly.com/question/16418397

Answer:

g(- 1) = -2

Step-by-step explanation:

Given the rational function, \(g(x) = - \frac{21 + x}{10}\):

In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.

\(g(x) = - \frac{21 + x}{10}\)

\(g(-1) = - \frac{21 - 1}{10}\)

\(g(-1) = - \frac{20}{10}\)

g(-1) = -2

Therefore, the output value when g(- 1) is: g(- 1) = -2.

The situation can be clearly represented by the equation y = 6x.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.

As per the given data:

Relation between different cabbage eaten and minutes is given.

To find the proportional relation:

Let's consider y as pieces of cabbage eaten.

and x as the time in minutes

If the relation is y = ax

From the table

18 = a × 3 ; a = 6

30 = a × 5 ; a = 6

42 = a × 7 ; a = 6

∴ y = 6x

Hence, the situation can be clearly represented by the equation y = 6x

To learn more about equation, click:

brainly.com/question/10413253

#SPJ9

The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).

To calculate the present value of these payments, we need to use the formula for the present value of an annuity:

\(PV = (P/i) x [1 - (1+i)^-n]\)

Where:
P = payment amount
i = annual effective rate
n = number of payments

Using this formula, we can calculate the present value of the first 10 payments:

\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)

To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do

this, we can use the following formula:

\(Pn = P1 x (1 + g)^n\)

Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment

For the 11th payment:

\(P11 = 105 x (1 + 0.05)^1 = 110.25\)

For the 12th payment:

\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)

And so on, until the 20th payment:

\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)

Now we can calculate the present value of these payments:

PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)

PV = 988.59

for such more question on word problem

https://brainly.com/question/21405634

#SPJ11

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

Learn more about null hypothesis at : https://brainly.com/question/28920252

#SPJ4

Using the digits 9, 8, 7, 6, 5, 4, 3, 2, and 1 in that order to create 100 by using the mathematical operations, (9 + 8 + 7) x (6 - 5) x (4 + 3 + 2) - 1 = 100

It is not possible to create 100 using the digits 9, 8, 7, 6, 5, 4, 3, 2, and 1 in that order without using any mathematical operations.

However, it is possible to create 100 by using mathematical operations like addition, subtraction, multiplication, division, and parentheses. One possible way to do this is:

(9 + 8 + 7) x (6 - 5) x (4 + 3 + 2) - 1 = 100

Here, we first add the first three digits (9 + 8 + 7 = 24), subtract the fourth and fifth digits (6 - 5 = 1), add the next three digits (4 + 3 + 2 = 9), and finally multiply all three results and subtract the last digit (24 x 1 x 9 - 1 = 215 - 1 = 100).

So, using this sequence of digits and mathematical operations, we can create 100.

Learn more about mathematical operations here

brainly.com/question/20628271

#SPJ4

Answer:

0.296

Step-by-step explanation:

Miguel will wait for 6 minutes in line, there are 6 employees working.

Joni will wait 3 minutes to order when 8 employees are working.

Here are the steps to answer your questions:

1. If Miguel waits 6 minutes in line to order, predict the number of employees working:

We have the trend line equation y = -1.5x + 15, where y is the waiting time in minutes, and x is the number of employees. We are given that Miguel waits for 6 minutes, so we'll plug y = 6 into the equation and solve for x:

6 = -1.5x + 15

To solve for x, first subtract 15 from both sides of the equation:

6 - 15 = -1.5x
-9 = -1.5x

Now, divide both sides by -1.5:

x = -9 / -1.5
x = 6

So, when Miguel waits 6 minutes in line, there are 6 employees working.

2. Joni arrives at the restaurant when 8 employees are working. Predict the amount of time Jodi will wait to order:

We'll use the same trend line equation and plug in x = 8 to find the waiting time for Joni:

y = -1.5(8) + 15

Multiply -1.5 by 8:

y = -12 + 15

Now, add 15:

y = 3

Joni will wait 3 minutes to order when 8 employees are working.

To learn more about equation, refer below:

https://brainly.com/question/29657983

#SPJ11

To find the solution of a matrix equation, we need to solve the matrix equation by using various methods such as Gaussian elimination or inverse matrices. The solution of a matrix equation is a vector that satisfies the equation.

1. Identify the matrix equation: A matrix equation usually looks like AX = B, where A is a matrix of coefficients, X is a column matrix containing the variables, and B is a column matrix representing the constants.

2. Determine the size of the matrices: Check the dimensions of matrices A, X, and B to ensure they conform to the rules of matrix multiplication. A should have dimensions m x n, X should be n x 1, and B should be m x 1.

3. Find the inverse of matrix A: In order to find the solution, we need to find the inverse of A, denoted as A^(-1). This is possible only if the determinant of A is non-zero. You can use various methods such as Gaussian elimination, cofactor expansion, or the adjugate method to find A^(-1).

4. Multiply A^(-1) by B: The solution of the matrix equation is given by X = A^(-1)B. Multiply the inverse of A by matrix B to obtain the column matrix X. This matrix contains the values of the variables in the equation.

By following these steps, you will be able to find the solution to the matrix equation, which will be represented in the form of column matrix X containing the values for the variables. Remember to always ensure that the given matrices conform to the required dimensions and that the inverse of the matrix A exists for a valid solution.

To know more about Gaussian elimination, click here:

brainly.com/question/31328117

#SPJ11

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

To learn more about derivative visit:

https://brainly.com/question/30403647

#SPJ4

Answer:

1). 10  2). 8/5  3). 8

Step-by-step explanation:

I. f(2) = 3(2) + 4

= 6 + 4

= 10

II. f(4) = 3(4) - 4/5

= 12 - 4/5

= 8/5

III). 3y - 6 = y + 10

2y - 6 = 10

2y = 16

y = 8

The amount of money more that Lily would have in her account than Keilantra is $ 80. 05.

First, calculate the amount of money in Lily's after 8 years:

= $2, 300 x (1 + 0. 01125 ) ⁸

= $2, 300 x 1. 10127

= $2, 529. 74

The amount in Keilantra's account would be:

= $ 2, 300 x (1 + 0. 005 / 12 ) ¹² ˣ ⁸

= $ 2, 300 x 1. 06307

= $ 2, 449. 69

The difference would be:

= 2, 529.74 - 2, 449.69

= $ 80. 05

Find out more on interest rate at https://brainly.com/question/30286668

#SPJ1

Answer:121

Step-by-step explanation:

It is given in the question that: Net exports $4 Net foreign factor income 2 Investment 185 Government spending 195 Consumption 500 Depreciation 59. Therefore, GDP is $884, GNP is $886, and NDP is $825.

In order to calculate GDP, GNP, and NDP using the given data; we will use the formulas:

GDP = Consumption + Investment + Government spending + Net exports

GNP = GDP + Net foreign factor income

NDP = GDP - Depreciation

Given, Net exports = $4

Net foreign factor income = 2Investment = 185

Government spending = 195

Consumption = 500

Depreciation = 59GDP = Consumption + Investment + Government spending + Net exports

GDP = $500 + $185 + $195 + $4 = $884GNP = GDP + Net foreign factor income

GNP = $884 + $2 = $886NDP = GDP - Depreciation

NDP = $884 - $59 = $825

Therefore, GDP is $884, GNP is $886, and NDP is $825

To know more about Net exports visit:

brainly.com/question/33359365

#SPJ11

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

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

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

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

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

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

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Given:

Cost of each shirt = $14.95

Cost of a tie = $12

Discount on Sale = 15% off

Manny buys three shirts and a tie.

To find:

The Manny's total cost.

Solution:

We have,

Cost of 1 shirt = $14.95

Cost of 3 shirt = 3 × $14.95

                       = $44.85

Cost of a tie = $12

Total cost before discount = Cost of 3 shirt + Cost of a tie

                                            = $44.85 + $12

                                            = $56.85

Everything in the store is on sale for 15% off. So,

\(\text{Manny's total cost}=56.85-\dfrac{15}{100}\times 56.85\)

\(\text{Manny's total cost}=56.85-0.15\times 56.85\)

\(\text{Manny's total cost}=56.85-8.5275\)

\(\text{Manny's total cost}=48.3225\)

Therefore, the Manny's total cost is $48.3225.

Answer:

370$

Step-by-step explanation:

4% of 250$ = 10

10 × 12 months = 120

120 + 250$ = 370$

The reaction force in this scenario is the force exerted by the floor on the ball, which is the third option: The floor pushes up on the ball.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. When the basketball player dribbles the ball, the ball exerts a downward force on the floor due to the impact. As a result, the floor exerts an equal and opposite upward force on the ball, allowing it to rebound upward.

This reaction force from the floor is crucial for the ball to bounce back, as it provides the necessary upward force to counteract the ball's downward motion. It is this upward reaction force that allows the ball to defy gravity momentarily and rebound into the air.

It's important to note that while the other options listed may be relevant in different contexts or scenarios, they do not directly pertain to the reaction force involved in the ball's interaction with the floor during dribbling.

Learn more about scenario here

https://brainly.com/question/29445672

#SPJ11

The perimeter of the triangle is 40cm.

The perimeter of any polygon is the sum of the lengths of all sides. In the case of a triangle,

Perimeter = Sum of the three sides

The formula for the perimeter of a closed shape figure is equal to the length of the outer line of the figure. Therefore, in the case of a triangle, the perimeter is the sum of all three sides. Let, a triangle has three sides a, b, and c-

               Perimeter (P) = a + b +c

The perimeter of the triangle = Sum of all sides

= 14 + 16 + 10

= 40 cm.

∴The perimeter of the triangle is 40 cm.

Read more about triangles :

https://brainly.com/question/25215131

#SPJ4

The distance from the center to any point on the circle exists comprehended as the radius. The radius is 10cm.

The radius of a circle is the separation between any two points on the circle and its center. The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.

The distance along a line connecting a circle's center to a point on its perimeter is known as a circle's radius. Therefore, the radius is equal to half the diameter's length. Therefore, the radius is equal to half the diameter's length.

The radius of a circle is the separation between any two points on the circle and its center.

In this instance (using the Pythagorean Theorem)

r = \(\sqrt{(7-1)^{2}+(5-(-3))^{2} }\)

= √(36 + 64)

r = 10

If a circle whose center is at (1, -3) passes through the point (7, 5) then the radius of the circle exists 10.

To learn more about the radius of the circle refer to:

https://brainly.com/question/24375372

#SPJ4

Answer:

Step-by-step explanation:

Hello There!

So first things first

we need to find the measure of ∠ABD

If you didn´t know the sum of the triangle angles is 180

so to find ∠ABD we subtract the given angles ( 30 and 25) from 180

180-25-30=125

so angle ∠125

Now lets find ∠DBC

∠ABD and ∠ DBC are supplementary angles so the sum of the two angles is 180

So to find ∠DBC we subtract 125 from 180

180-125=55

so ∠DBC = 55

Now we can find the measure of ∠BDC

remember like stated before the sum of all of the angles in a triangle is 180

So to find the measure of ∠BDC we subtract the given angles from 180

180-90-55=35

so we could conclude that ∠BDC = 35

Other ways to solve for ∠DBC:

angle DBC is an exterior angle of ΔABD

the measure of an exterior angle is equal to the sum of the opposite interior angles

so basically ∠DBC = ∠ADB + ∠BAD

30+25=55 so ∠DBC = 55

Other ways to find angle BDC:

Having found the measure of ∠DBA and the other opposite angle we could find ∠BDC

Like stated before the measure of an exterior angle is equal to the sum of the opposite interior angles

basically ∠DBA = ∠BDC + ∠BCA

we have the measures of ∠BCA and ∠DBA so we plug in the values

125=∠BDC+90

isolate the variable by subtracting each side by 90

125-90=35

we´re left with

∠BDC=35

I hope this helps and if you have anymore questions, feel free to ask! :)

Between 10:00 and 10:30, there is a 0.333 percent chance that the switchboard will field more than 9 calls but fewer than 18 calls.

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.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Time = 30 min (as 10:00 to 10:30)

Total calls = 9+18 =27

Probability receive more than 9 calls but fewer than 18 calls

p(9 < x > 18) = { 10, 11, 12, 13, 14, 15, 16, 17, 18}  = 9 (all possibilities)

Total Probability = (likely event / total outcomes)

p(9 < x > 18) = (9/27)

p(9 < x > 18) = 1/3

p(9 < x > 18) = 0.333

To learn more about probability visit: brainly.com/question/13604758

#SPJ4

Answer:

1/14

Step-by-step explanation:

Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake

P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =

6/21 = 2/7

If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes

Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4

P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14

Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.

Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.

A percentage is a dimensionless (pure) number; it has no unit of measurement.

The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.

Let the total number of kids in the camp be x.

The number of kids who took archery = 25%

But 50 students took archery.

hence 25% of x = 50

Solving we infer:

x = 200

Therefore there are 200 kids in the camp.

To learn more about percentages visit:

https://brainly.com/question/15840409

#SPJ1

The limit of the cost for a month as the number of hours approaches 10 is $55.

When a member uses the car for exactly 10 hours, the cost is covered by the $55 per month fee, which includes 10 hours of driving. Since the fee already covers the cost, there are no additional charges for those 10 hours.

To calculate the limit as the number of hours approaches 10, we consider what happens as the number of hours gets closer and closer to 10, but never reaches it. In this case, as the number of hours approaches 10 from either side, the cost remains the same because the fee already includes 10 hours of driving. Thus, the limit of the cost for a month as the number of hours approaches 10 is $55.

Therefore, regardless of whether the number of hours is slightly below 10 or slightly above 10, the cost for a month will always be $55.

Learn more about Cost

brainly.com/question/14566816

#SPJ11

Answer:

Step-by-step explanation:

if we need to combine the like terms

-4p+(-6p)=-4p-6p=-10p

choice b

Answer:

I believe the answer is C. Please let me know if I am wrong

Step-by-step explanation:

The equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we know that:
The pick-up fee that the company charges is: #3.10

Ride charges per mile: $2.75

Total fare price: $27.85

So, let x be the number of miles ridden, the equation that will be used to solve the given question will be:

2.75x + 3.10 = 27.85

Now, solve as follows:

2.75x + 3.10 = 27.85

2.75x = 27.85 - 3.10

2.75x = 24.75

x = 24.75/2.75

x = 9

Therefore, the equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.

Know more about equation here:

https://brainly.com/question/28937794

#SPJ4