Ron is planning for the back to school rush at his store. Last year he estimated that he would need 168 notebooks. Explain how Ron can find the percent error of his estimate

Answers

Answer 1

To calculate the percent error, he will need the real value and the estimated value.

In this problem, we only know the value of the estimated value.

If we would know both values just substitute them in the equation and solve for percent error.

[tex]\text{ Percent error = }\frac{estimated\text{ value - real value}}{estimated\text{ value}}\text{ x 100}[/tex]


Related Questions

is 6xy^5z monomial or not

Answers

To be a monomial an expresion needs to have just 1 term, the terms in a math expression are separated by a + or a -

Then, even if the term has two or more variables as given: A exponential expression with a term with different variables

[tex]6xy^{5z}[/tex]It is just one term. It is a monomial

Mr.Palacios delivers newspapers. He can deliver 60 papers in 3/4 of an hour. At this rate how may newspaper will Mr.Palacios deliver in 2 1/4 hours?

Answers

Given Data:

Total number of newspapers delivered is 3/4 hour is: 60

Let Mr.Palacios delivers 'x' number of newspaper in 2 1/4 hours.

The expression to calculate the total number of the newspaper delivered in 2 1/4 hour is,

[tex]\begin{gathered} \frac{x}{2\frac{1}{4}}=\frac{60}{\frac{3}{4}} \\ x=(2\frac{1}{4})\times(\frac{60}{3}\times4) \\ x=(\frac{2\times4+1}{4})\times(20\times4) \\ x=(\frac{9}{4})\times80 \\ x=2.25\times80 \\ x=180 \end{gathered}[/tex]

Thus, Mr.Palocios delivers 180 newspapers in 2 1/4 hours.

Find the x-intercepts of y = 4x2 - 15x - 4.4 and 1/4-21 and 10-1/4 and 4No x-intercepts exist.

Answers

Explanation

[tex]y=4x^2-15x-4.[/tex]

We can find the x-intercepts of the function by plotting the graph.

Answer: -1/4 and 4

You wish to buy a $330,000 home. The mortgage company offers you a 30-year loan with a 3.6 percent APR. What are the monthly payments? Assumezero down payment.O $1,423.93O $1,500.33O $1,469.91O $1,578.11

Answers

Step 1

Given; You wish to buy a $330,000 home. The mortgage company offers you a 30-

year loan with a 3.6 percent APR.

Required; What are the monthly payments? Assume

zero down payment.

Step 2

[tex][/tex]

Write the sum of 5x^2+2x-10 and 2x^3+6 as a polynomial in standard form

Answers

Given polynomials:

[tex]\begin{gathered} 5x^2\text{ + 2x - 10} \\ 2x^2\text{ + 6 } \end{gathered}[/tex]

The sum of the polynomials is:

[tex]=\text{ 5x}^2\text{ + 2x - 10 + \lparen2x}^2\text{ + 6\rparen}[/tex]

Simplifying the sum:

[tex]\begin{gathered} =\text{ 5x}^2\text{ + 2x - 10 + 2x}^2\text{ + 6} \\ Collect\text{ like terms} \\ \text{ = 5x}^2\text{ + 2x}^2\text{ + 2x - 10 + 6} \\ =\text{ 7x}^2\text{ + 2x - 4} \end{gathered}[/tex]

Hence,the sum of the polynomials in standard form is:

[tex]=\text{ 7x}^2\text{ + 2x - 4}[/tex]

In a class of 29 students, 19 are female and 14 have an A in the class. There are 8students who are male and do not have an A in the class. What is the probability thata student does not have an A given that the student is female?

Answers

SOLUTION

The total number of females =

[tex]19[/tex]

if 14 have an A in the class, the number of students without A is:

[tex]29-14=15[/tex]

8 male students do not have an A, therefore the number of female students without an A is:

[tex]15-8=7[/tex]

The probability that a student does not have an A given that the student is female can be calculated thus:

[tex]\frac{\text{Total number of female students without an A}}{Total\text{ number of female students in the class}}[/tex][tex]\frac{7}{19}[/tex]

Figure B is a scaled copy of Figure A.44.446Figure A11.111.5Figure B

Answers

In order to determine the scale factor, calculate the quotient between the area of the two trapezoids.

Consider that the area of the trapezoid is given by the sum of the area of a rectangle ans a triangle.

For the bigger trapezoid you have:

A1 = (4)(4) + (6-4)(4)/2

A1 = 16 + (2)(4)/2

A1 = 16 + 4

A1 = 20

For the smaller trapezoid:

A2 = (1)(1) + (1.6 - 1)(1)/2

A2 = 1 + 0.3

A2 = 1.3

Finally, the scale factor is:

A1/A2 = 20/1.3 = 15.38

translate this phrase into an algebraic expression 59 Less than twice a number use the variable n to represent the unknown number

Answers

To write the given phrase as an algebraic expression you can identify what does each part of the phrase mean:

59 less than: You have to substract 59 to the other part of the phrase

twice a number: as the number is n, twice a number is 2n

Then, you get the next algebraic expression:

[tex]2n-59[/tex]

Complete the end behavior statement for the function shown above. Asx→−∞, f(x)→

Answers

Given

The function

[tex]f(x)=\frac{12x^5}{3x^5}[/tex]

To find the end behavior of the function.

Explanation:

It is given that,

[tex]f(x)=\frac{12x^5}{3x^5}[/tex]

That implies,

[tex]\begin{gathered} \lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{12x^5}{3x^5}) \\ =\lim_{x\to-\infty}(\frac{12}{3}) \\ =\lim_{x\to-\infty}(4) \\ =4 \end{gathered}[/tex]

Hence,

[tex]As\text{ }x\rightarrow-\infty,f(x)\rightarrow4[/tex]

Find the supplementary of an angle that measures 110°. Question 18 options: 67° 70° 73° 85°

Answers

The angle that measures supplementary to 110° is b) 70°

It is given to us the angle 110°. The supplementary angle to 110° is to be found. Supplementary angles refer to pair of angles, whose sum measures add up to 180°. However, the supplementary angles need not be together always. It is mathematically given by,

180° = x° + y°..............(1)

To find the supplementary angle of 110°, the above equation(1) could be used.

180° = 110° + y°

180° - 110° = y°

y° = 70°

Therefore the supplementary angle pair of 110° is 70°. Hence, option b) is the correct answer.

To learn more about angles, click below:

https://brainly.com/question/25716982

Write the equation of the line that passes through the point (-7, -1) and isperpendicular to x = -3y+6. Write your answer in slope-intercept form y = mx + b

Answers

If two lines are perpendicular, the multiplication of the slopes is equal to -1.

So, the line x = -3y + 6 can be written as:

[tex]\begin{gathered} x=-3y+6 \\ x-6=-3y \\ \frac{x-6}{-3}=y \\ \frac{-1}{3}x+2=y \end{gathered}[/tex]

So, the slope is -1/3. It means that the slope of the perpendicular line is:

[tex]\begin{gathered} \frac{-1}{3}\cdot m=-1 \\ -m=-3 \\ m=3 \end{gathered}[/tex]

Then, with a point (x1, y1) and a slope m, we can find the equation of the line as:

[tex]y-y_1=m(x-x_1)[/tex]

Replacing, m by 3 and (x1, y1) by (-7,-1), we get:

[tex]\begin{gathered} y-(-1)=3(x-(-7)) \\ y+1=3(x+7) \\ y+1=3x+21 \\ y=3x+21-1 \\ y=3x+20 \end{gathered}[/tex]

Answer: y = 3x + 20

5. The length of a rectangle is triple the width. If the perimeter is 104 cmn, find the length of therectangle.Equation:

Answers

We have that the length of the triangle is three times its width

We'll call "x" the unknown measurement

The statement tells us that the perimeter is 104 cm, that is the sum of all its sides is equal to 104 cm

Let's remember that a rectangle has 2 pairs of equal sides, in this case, 2 sides measure 3x and two sides measure x

Therefore the sum of the 4 sides must be equal to 104 cm, we can pose the following equation

[tex]\begin{gathered} 3x+3x+x+x=104 \\ \end{gathered}[/tex]

Now we clear

[tex]\begin{gathered} 8x=104 \\ x=\frac{104}{8} \\ x=13 \end{gathered}[/tex]

if we are being asked the length of the rectangle and we know that the length is 3x we solve it like this

[tex]\begin{gathered} L=3x \\ L=3\cdot13 \\ L=39 \end{gathered}[/tex]

The answer is that length of the rectangle is 39 cm

Evaluate Indicated Function!f(x) = x^2 - 1g(x) = x - 2

Answers

Given the following functions

[tex]\begin{gathered} f(x)=x^2-1 \\ g(x)=x-2 \end{gathered}[/tex]

We want to evaluate

[tex](f+g)(t-4)[/tex]

First, let's create this composition of functions. Since it is a sum, we just need to add them together.

[tex](f+g)(x)=f(x)+g(x)=x^2-1+x-2=x^2+x-3[/tex]

Now, to evaluate at t - 4, we just need to substitute our variable for t - 4.

[tex]\begin{gathered} (f+g)(t-4)=(t-4)^2+(t-4)-3 \\ =t^2-8t+16+t-4-3 \\ =t^2-7t+9 \end{gathered}[/tex]

And this is our final answer.

[tex](f+g)(t-4)=t^2-7t+9[/tex]

I was a little confused on what to do or where to start, could you help?

Answers

Our approach is to determine the equation of the function and when we do, we can substitute as appropriate.

[tex]\begin{gathered} \text{ At x = 4, y = 12} \\ \frac{y}{x}=\frac{12}{4}=3 \\ y=3x \end{gathered}[/tex]

Now we have established a relationship between x and y.

[tex]\begin{gathered} \text{ When y = 6,} \\ 6=3x \\ \text{ Divide both sides by 3 to get:} \\ x=2 \end{gathered}[/tex]

[tex]\begin{gathered} \text{ When x = 6,} \\ y=3(6)=18 \\ y=18 \end{gathered}[/tex]

We can confirm these values by tracing downwards to 2 when y = 6

In the same way, we can trace leftward to 18 when x = 6

Examine the following step function. Open circle at (negative 1, 0) connected by a line to closed circle at (0, 0). Open circle at (0, 1) connected by a line to a closed circle at (1, 1). Pattern continues.© 2018 StrongMind. Created using GeoGebra. Which statements are true?Select all that apply.

Answers

From the given graph, let's select the correct statements.

Here, since the open dots are on the left and the closed dots are on the right, the function can be said to be a ceiling function.

Ceiling functions are functions which give the smallest value which is greater than or equal to the specified value on the number line.

Therefore, the correct statements are:

• 1. It is a ceiling function.

• 2. Any decimal or fraction rounds to the least integer that is greater than x.

ANSWER:

• B. It is a ceiling function.

• C. Any decimal or fraction rounds to the least integer that is greater than x.

m/5+9=11 what does m Stand for?

Answers

we have the expression

(m/5)+9=11

solve for m

that means

isolate the variable m

step 1

multiply by 5 both sides

5*(m/5)+5*9=5*11

m+45=55

step 2

subtract 45 both sides

m+45-45=55-45

m=10

Which of the following mathematical patterns is evident in the piece below?

Answers

Consider that, of all the given options, the right side of the picture seems identical to the left side of the picture.

But it cannot be identical, since the letter on the right side "FIDES" cannot be seen on the right side of the picture.

Rest of all the designs seem symmetrical about the middle vertical line.

Since it is not perfectly identical, not perfectly symmetric, it can be referred as SIMILAR.

So similar patterns are evident in the given piece.

Therefore, option C is the most suitable choice.

RedGoldKitsBeadsBeads12015210075360454403058060Part BUse the drop-down menus to complete the rule for each bead colonRed: Add Choose...Gold: AddChoose...

Answers

Part B)

As the problem says, for each bead kit we have 20 red beads and 15 gold beads.

Then, the rule for each beads is

Red: add 20

Gold: add 15

a story is making their pricces up 145% what fraction best represents 145%

Answers

the percentage is expressed as a division between the value and 100

on this case

[tex]\frac{145}{100}[/tex]

and we can simplify

[tex]undefined[/tex]

Last year during the July 4th holiday, Americans ate about 150,000,000 hot dogs. Over the entire year, Americans ate a total of about 2 x 10^10. Compute how many times greater the total number of hot dogs eaten by Americans last year was than the number of hot dogs eaten during the 4th of July holiday. Round your answer to the nearest one. times greater than the number of The total number of hot dogs eaten by Americans last year was blank hot dogs eaten during the July 4th holiday.

Answers

July 4th quantity: 150,000,000 = 1.5 x 10^9

Entire year quantity: 2 x 10^10 = 2,000,000,000

2,000,000,000 - 150,000,000 = 2 thousand millions - 150 millions =

one thousand, eith hundred fifty millions

2,000,000,000 - 150,000,000 = 1,850,000,000

1,850,000,000 = 1.85x10^10

Americans eated 1,850,000,000 = 1.85x10^10 more hotdogs over the entire year than they eated on the 4th of July

2,000,000,000/150,000,000 = 13.33

Americans eated 13.33 times more hotdogs over the entire year than in the 4th of July

Which integer represents this scenario? an elevator goes down 3 floors a) -3 b) 3 6.NS.5

Answers

Answer : -3

Since, the elevattor is going down the floor

This means its decreasing from the its original height

An elevetor goes down 3 floors = -3

Caleb is painting and this figure the Shaded area represents the part of the picture that has painted blue. what is the area of the blue part of Caleb's picture

Answers

The above rough sketch repressents the shaded area of the mural and the shaded part is a rectangle.

Area of a shaded mural = Length x Breadth

[tex]\begin{gathered} \text{Length}=\text{ }\frac{6}{8}m \\ \text{Breadth}=\frac{4}{8}m \\ \text{area of the shaded mural = }\frac{6}{8}\times\frac{4}{8}=\frac{24}{64}=\frac{3}{8}m^2 \end{gathered}[/tex]

Hence, the shaded area (blue) of the mural is deduced above.

2 3 Year months A 7 months B 3 months © 8 months D 9 months

Answers

In order to fill the blank space, consider that 1 year = 12 months

Then, you have:

(2/3) · 12 months = 24/3 months = 8 months

C) 8 months

Benadryl is a medicine used to treat runny noses, itching, and other cold and allergy symptoms. Ittakes an average of two to three days for the active ingredient of Benadryl, diphenhydramine, to leave the body. The formula below represents the amount, A, of diphenhydramine left in the body,measured in mg, t hours after taking 50 mg of the medicine.A = 50 (0.9217)^tA) How long does it take for the body to eliminate half of the initial amount of Benadryl? Solve thisalgebraically. Round decimal to two places.

Answers

We have to replace A= 25 mg in the equation and solve for t. Doing so, we have:

[tex]\begin{gathered} 25=50(0.9217)^t\text{ } \\ 0.5=(0.9217)^t\text{ (Dividing by 50 on both sides of the equation)} \end{gathered}[/tex]

[tex]\begin{gathered} \log _5(0.5)=\log _5(0.9217)^t(\text{ Taking the logarithm base 5 of both sides of the equation)} \\ \log _5(0.5)=t\cdot\log _5(0.9217)\text{ (Using the power rule of logarithms)} \\ -0.431=t\cdot(-0.0507)\text{ (Finding the logarithms for each case)} \\ 8.50=t\text{ (Dividing by }-0.0507\text{ on both sides of the equation)} \end{gathered}[/tex]

The answer is 8.50 hours (Rounding to two decimal places)

Given that events A and B are independent with P(A)=0.9P(A)=0.9 and P(B)=0.71P(B)=0.71, determine the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary.

Answers

Remember that

If A and B are independent events, then

P(A∩B)=P(A)*P(B)

substitute given values

P(A∩B)=(0.9)*(0.71)=0.639

therefore

The answer is 0.639

Jon had to put together a menu for his Science Club picnic bag lunch. The menu groups the items into sandwiches, drinks, and fruit. Jon had to put one food item from each group in a bag for the members.

Answers

ANSWER

[tex]\frac{1}{30}[/tex]

EXPLANATION

We want to find the probability that Jon will get a peanut butter sandwich, a chocolate milk and a banana.

This can be obtained by finding the product of the probability of picking each item from their respective groups.

That means that we will find the probability of picking each item and multiply them together.

There are 2 sandwich options, which means that the probability of getting a peanut butter sandwich is:

[tex]P(PB)=\frac{1}{2}[/tex]

There are 5 drink options, which means that the probability of getting a chocolate milk drink is:

[tex]P(CM)=\frac{1}{5}[/tex]

There are 3 fruit options, which means that the probability of getting a banana is:

[tex]P(B)=\frac{1}{3}[/tex]

Therefore, the probability that Jon will get a peanut butter sandwich, a chocolate milk and a banana is:

[tex]\begin{gathered} P(PB\&CM\&B)=\frac{1}{2}\cdot\frac{1}{5}\cdot\frac{1}{3} \\ P(PB\&CM\&B)=\frac{1}{30} \end{gathered}[/tex]

can someone help me find the y= mx +b of this equation

Answers

The given coordinates are (0,-2) and (-5,-3). The line equation is,

y = mx + b

Here, m is the slope and b is the y-intercept.

The slope can be calculated as,

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-3+2}{-5}=\frac{1}{5}[/tex]

Now to calculate b, let us take the point (0,-2) and 1/5 as m,

[tex]\begin{gathered} -2=0\times\frac{1}{5}+b \\ b=-2 \end{gathered}[/tex]

Therefore the equation of the line is,

[tex]y=\frac{1}{5}x-2[/tex]

In the graph below, f(x) is a linear function, and g(x) is an exponential function. Which statement best explains the behavior of the graphs of the functions as x increases?

Answers

Given:

The graphs of f(x) and g(x)

Let us describe the behavior of f(x) and g(x) individually

Behavior of f(x)

f(x) is a straight-line graph. The rate of change of f(x) is constant

Behavior of g(x)

g(x) is the graph of an exponential function. The value of g(x) rises exponentially as x increases.

Combining the behavior of f(x) and g(x)

Since g(x) rises exponentially as x increases, it would eventually exceed f(x)

Answer:

g(x) eventually exceeds f(x) because the rate of change of g(x) increases as x increases, whereas the rate of change of f(x) is constant. (Option B)

a car is traveling at a speed of 80 miles per hour. what is the car speed in kilometers per hour? how many kilometer will the car travel in 3 hours, assume that 1 mile is equal to 1.6 kilometers. do not round.

Answers

The car is travelling at speed of 80miles per hour.

since it is given that 1 mile=1.6km

To convert 80 miles per hour into kilometer per hour.

multiply 80 by 1.6

[tex]\begin{gathered} 80\text{ miles per hour=80}\times1.6\text{ kilometer per hour} \\ 80\text{ miles per hour=80}\times128\text{ kilometer per hour} \end{gathered}[/tex]

128 km per hour.

The expression for the distance is :

[tex]\text{Distance}=\text{speed}\times Time[/tex]

For distance at time t=3,

subtitute speed=128km/hr

time=3 hr

[tex]\begin{gathered} \text{Distance}=128\times3 \\ \text{Distance}=384\operatorname{km} \end{gathered}[/tex]

The car travel 384km in 3 hours.

I don’t know how to solve this I need help please

Answers

Since the path of Grant is a line segment, the first step to solve the exercise is to find the slope of the line segment. For this, we can use the following formula:

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line, and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through the line passes} \end{gathered}[/tex]

As we can see in the graph, the line segment passes through the points (8,0) and (-4,6). Then, we have:

[tex]\begin{gathered} (x_1,y_1)=(8,0) \\ (x_2,y_2)=(-4,6) \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{6-0}{-4-8} \\ m=\frac{6}{-12} \\ \text{ Simplify} \\ m=\frac{1\cdot6}{-2\cdot6} \\ m=-\frac{1}{2} \end{gathered}[/tex]

Now that we have the slope of the line segment and a point which it passes, we can use the point-slope formula:

[tex]y-y_1=m(x-x_1)\Rightarrow\text{ Point-slope formula}[/tex][tex]y-0=-\frac{1}{2}(x-8)[/tex]

Finally, we solve for y the above equation:

[tex]\begin{gathered} y=-\frac{1}{2}(x-8) \\ \text{ Apply the distributive property} \\ y=-\frac{1}{2}\cdot x-\frac{1}{2}\cdot-8 \\ y=-\frac{x}{2}+\frac{1}{2}\cdot8 \\ y=-\frac{x}{2}+\frac{8}{2} \\ y=-\frac{x}{2}+4 \\ \text{ Reorder} \\ y=4-\frac{x}{2} \end{gathered}[/tex]

Therefore, the equation that represents the path of Grant is:

[tex]$$\boldsymbol{y=4-\frac{x}{2}}$$[/tex]

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