A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.

Answer:

y = |x| - 1

Step-by-step explanation:

The difference between the parent function (y=|x|) and the graph, is that the graph is 1 unit down. y = |x| -1 has the parent function 1 unit down

Answer:

C. y = |x| - 1

Step-by-step explanation:

y = |x| Is the same graph, but with the vertex on point (0,0)

y = |x+1| Moves graph to the left 1

y = |x| + 1 Moves the graph up 1

y = |x| - 1 moves the graph down 1

y = |x-1| moves the graph right one

Therefore, y = |x| - 1 is the answer.

To further explain it, you can write down a table of values for proof. For y = |x| when x = 0, y = 0. When x = 1, y = 1 and so on. When x = -1, y = 1 and so on in that direction.

If we look at the choices and plug in numbers, we get for A when x = 0, y = 1, which if we look at the graph given does not fit.

For B, when x = 0, we get y = 1, which again does not work.

For C, when x = 0, y = -1, which is the answer we need, but to make sure, I am going to do D.

For D, when x = 0, y = 1. Therefore, C is the only possible answer.

To get the minimum value of f(x), we need to get the critical points of the function.

First, we need to set f'(x) equal to zero: e^-xcos(x^2) = 0
The exponential term e^-x can never be zero, so we can ignore it. This means that cos(x^2) = 0.
The solutions to this equation are x = sqrt((2n+1)pi/2) or x = sqrt(npi), where n is any integer. However, we are only interested in the solutions that lie between -1 and 1, since that is the domain of the function.
The only solution in this range is x = sqrt(pi/2), which is approximately 1.2533.
Next, we need to check whether this critical point is a minimum or a maximum. To do this, we can use the second derivative test. f''(x) = -e^-x(cos(x^2) + 2x^2sin(x^2))
At x = sqrt(pi/2), f''(x) is negative, which means that the critical point is a local maximum. Since there are no other critical points in the domain of the function, this is also the global maximum.
Therefore, there is no minimum value of f(x) for -1

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Required statistic options are option a and option c and required parameter options are b and d respectively.

a. In a survey of 360 credit card holders in the U.S., the mean service fee charged last year was $42.75. This is a statistic because it is a numerical value that describes a characteristic of a sample.

b. In the 2014-2015 academic year, 78.2% of public high school seniors from the state of Washington graduated. This is a parameter because it is a numerical value that describes a characteristic of an entire population.

c. A recent study of 1,625 elementary school children in the state of Washington found that 18.3% were living in poverty as classified by the federal government. This is a statistic because it is a numerical value that describes a characteristic of a sample.

d. The mean salary of all public college presidents in the U.S. was $428,000 in 2014. This is a parameter because it is a numerical value that describes a characteristic of an entire population.

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Answer:

7 Children and 18 Adults.

Step-by-step explanation:

Sorry im late but thats the answer ^

There was 7 children attendee and 17 adult attendee.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A restaurant catered an event for 25 people.

A child’s dinner cost $5 and an adult’s dinner cost $22.

The party cost $431.

let the number of children attendee be x and adult attendee be y.

So, x+ y = 25..............(1)

and, 5x + 22y = 431.......(2)

Solving the Equation (1) and (2) we get

5(25 - y) + 22y= 431

125 - 5y + 22y= 431

17y = 431-125

17y = 306

y = 18

and, x= 25-18 = 7

Hence, there was 7 children attendee and 17 adult attendee.

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Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2\)

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8\)

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

The table of values for the function y = (1/2)^x with x = -2 to 3 x is as shown below

Given that

y= (1/2)^x

To complete the table of values for the function y = (1/2)^x, we can substitute the given values of x into the function and evaluate for y. The table is as follows:

x y

-2 4

-1 2

0 1

1 1/2

2 1/4

3 1/8

Here's how we get each value of y:

Therefore, the table of values for the function y = (1/2)^x with x = -2 to 3 and an increment of 1 in x is as shown above.

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To write the given quadratic equation, y = (x + 1)^2 - 4, in factored form, we can start by expanding the equation using the square of a binomial:

y = (x + 1)(x + 1) - 4

y = (x^2 + 2x + 1) - 4

y = x^2 + 2x + 1 - 4

y = x^2 + 2x - 3

Now, to find the zeros of the equation, we set y = 0 and solve for x:

x^2 + 2x - 3 = 0 To factor this quadratic equation, we need to find two numbers whose product is -3 and whose sum is 2. The numbers that satisfy this condition are 3 and -1:

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

Now, setting each factor equal to zero, we can find the values of x:

x + 3 = 0  =>  x = -3

x - 1 = 0  =>  x = 1

Therefore, the factored form of the equation y = (x + 1)^2 - 4 is (x + 3)(x - 1) = 0, and the zeros of the equation are x = -3 and x = 1.

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The answer will be Mean = 135 Variance = 62 and Standard Deviation = 8

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that :

Proportion (p) = 54%

Sample size (n) = 250

Using Normal approximation :

Mean = np

Mean = 250 * 0.54 = 135

Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46

Variance = (250 * 0.54 * 0.46) = 62.1 = 62

Standard deviation = √variance = √62.1

Standard deviation = 7.8803553 = 8

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The pair of algebraic expressions which are like terms is; 20x and 0.8x.

Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.

check all options:

20x, 0.8x

same variable and exponent

17, 3x

Not same variable

14x, 14x²

Same variable, not same exponent

0.5x, 0.5y

Not same variable

On this note, it follows that the terms 20x and 0.8x are like terms.

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Given that 3/5 of the people who attended the concert live closer than 50 miles from the venue, we can find the total number of people who live closer than 50 miles by multiplying 3/5 with the total number of people who attended the concert:

Total number of people who live closer than 50 miles = 3/5 x 4800 = 2880

We are also given that 0.3 of the people who live closer than 50 miles from the venue spent more than $560 per ticket. To find the number of people who attended the concert and live closer than 50 miles from the venue and spent more than $560 per ticket, we can multiply the total number of people who live closer than 50 miles by 0.3:

Number of people who attended the concert and live closer than 50 miles from the venue and spent more than $560 per ticket = 0.3 x 2880 = 864

Therefore, 864 people who attended the concert live closer than 50 miles from the venue and spent more than $560 per ticket.

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Answer:

It’s correct

Step-by-step explanation:

You‘ve got the first angle correct! You‘ve got the second angle correct. The third angle is also correct! angle.

Now the third angle has a way of Tricken ya! So heres a way to solve:

5 x 20= 100

100-40= 60

GOOD JOB! have a good night!

SORRY PLEASE DELETE THIS ANSWER IT ISN'T GOOD AND IS INCOMPLETE I ACCIDENTALLY WROTE IT

Answer: 13

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Sample mean, x = 6 points greater than population mean ;

Population mean, m = 16

Standard deviation, s = 12

Zscore = (sample mean - population mean) / standard deviation

Zscore = (x - m) / s

x = 16 + 6 = 22

Zscore = (22 - 16) / 12

Zscore = 6 /12

Zscore = 0.5

The measure of QR is  mathematically given as

QR=4

This is further explained below.

Generally, The transformation is defined as

(x, y)--->(x+3 *y-1) --->(3 x, 3 y)

The translation is the first change, while dilatation is the second.

A stiff transformation is a translation. It denotes a match between the matching sides of the picture and the preimage.

A definition of dilation is

(x, y) --> (k x, k y)

In conclusion, under the given rule it is clear that the value of k is 3 which means the dilation factor is 3. It means the corresponding sides of the image are 3 times the preimage.

k=W X/Q R

3=12/Q R

Q R=4

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CQ

△PQR maps to △VWX with the transformation (x, y) (x + 3, y − 1) (2x, 2y).

If WX = 12, what does QR equal?

Answer:

450 kilo watt hour of electricity was used

Step-by-step explanation:

Here, we are interested in calculating the kilowatt-hour of electricity used.

From the question, we are told that the bill is $67.50 and the cost of 1 kilo watt hour is $0.15

So to know the amount of kilowatt hours of electricity used, we will simply divide the bill by the charge per 1 kwh

Mathematically that would be 67.5/0.15 = 450

Answer:

(a) <7 and <8

(b) <3 and <8

(c) <6 and <1

Step-by-step explanation:

There are multiple different answers for each of the questions but these are the ones I chose.

(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.

(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.

(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.

Answer:

$161.9

Step-by-step explanation:

Ur welcome :)

Answer:

posotive

Step-by-step explanation:

The word that describes the slope of the line is positive (Option A).

The slope of a line can be defined as the proportion/ratio of a given rise divided by its run.

Estimation of the slope of the line may result a very useful measurement of the line's inclination in relation to the horizontal.

In conclusion, the word that describes the slope of the line is positive (Option A).

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Ben must read at least 20 pages per day to reach his goal of reading at least 140 pages over the next 7 days. The inequality that would represent the number of pages Ben must read each day to reach his goal is:

x ≥ 20

Where x represents the number of pages Ben must read each day to reach his goal of at least 140 pages over the next 7 days.

To arrive at this inequality, we can use the fact that Ben must read at least 140 pages in 7 days. If we assume that he reads the same number of pages each day, we can represent the total number of pages he reads as 7x, where x is the number of pages he reads each day. Therefore, the inequality we need is:

7x ≥ 140

We can simplify this inequality by dividing both sides by 7:

x ≥ 20

Any value of x greater than or equal to 20 will satisfy the inequality and allow Ben to reach his goal.

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If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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what is the question you want 12 or 13

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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well, let's simply see how much is 6.5% of 135, or namely the tax

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.5\% of 135}}{\left( \cfrac{6.5}{100} \right)135}\implies 8.775 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{cost}{y}=\stackrel{selling~price}{x}+\stackrel{tax}{\left( \frac{6.5}{100} \right)x}~\hfill y = 135+8.775\implies y \approx 143.88\)

T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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Answer:

10/2=5

Step-by-step explanation:

pr/n + m

Place each of the numbers into the equation:

-8(4) / 2 + (-32)

Multiply:

-32 / 2 - 32

Divide:

-16 - 32

Subtract:

-48

Our equation is equal to -48 when everything is plugged in.

I hope this helps! :)

Answer:

(-2,4)

Step-by-step explanation:

Hope this will help:)

Answer:

B (-2,4)

Step-by-step explanation: