A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist's estimate? Round the percent to the nearest hundredth if necessary.

Answers

Answer 1

Answer:

The percent error of the cyclist's estimate is 5.63%

Step-by-step explanation:

Percentages

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%


Related Questions

PLS HELP!!

What values of u and v make triangle XYZ = Triangle GFH

Answers

Answers:

u = 18

v = 20

========================================================

Work Shown:

The leg YZ is congruent to the left FH

This means YZ = FH and that leads to u+v-18 = 10u-8v

The hypotenuse ZX is congruent to the hypotenuse HG

This means ZX = HG and we get the equation 14v-14u+32 = v+u+22

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

The system of equations we have so far is

u+v-18 = 10u-8v

14v-14u+32 = v+u+22

Let's get the equations into standard form

Start with the first equation

u+v-18 = 10u-8v

u+v = 10u-8v+18

u+v-10u+8v = 18

-9u+9v = 18

-9(u-v) = 18

u-v = 18/(-9)

u-v = -2

Note how we can solve for the variable u to get

u = v-2

which we'll use later

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

Let's get the other equation into standard form as well

14v-14u+32 = v+u+22

14v-14u-v-u = 22-32

-15u+13v = -10

Now plug in u = v-2 and solve for v

-15u+13v = -10

-15(v-2) + 13v = -10

-15v+30+13v = -10

-2v+30 = -10

-2v = -10-30

-2v = -40

v = -40/(-2)

v = 20

Which means,

u = v-2

u = 20-2

u = 18

stephanie has the same number of dimes and nickels. she has $6.10 in all. what an equation that you could use to find the number of dimes and nickes

Answers

Equation: 5x + 10x = $6.10

Consider the polynomial function p(x)= -9x^9 +6x^6 -3x^3 +1.
What is the end behavior of the graph of p?

Answers

Answer:

The end behavior of the graph of p is:

f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

Step-by-step explanation:

Given the polynomial function

[tex]p\left(x\right)=\:-9x^9\:+6x^6\:-3x^3\:+1[/tex]

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -9x⁹, then the degree is 9 i.e. odd, and the leading coefficient is -9, i.e. negative.

This means that f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

The graph is also attached below.

Thus, the end behavior of the graph of p is:

f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

Answer: B

Step-by-step explanation:

If it’s for khan

Find the solution(s) for x in the equation below.
x^2 - 25 = 0

A. x = -5
B. no solutions
C. x = 5
D. x = 5; x = -5

Answers

Answer:

D) x=5, x=-5.

Step-by-step explanation:

x^2-25=0

factor

(x+5)(x-5)=0

x+5=0, x-5=0,

x=0-5=-5,

x=0+5=5.

Giving brainliest 10 points! Please help me with this question

Answers

Answer:

(0,-23)

Step-by-step explanation:

10+(−3.5)×2+(−9)÷(−3)

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

10 + (-3.5) × 2 + (-9) ÷ (-3)

Step 2: Evaluate

Multiply:                    10 - 7 + (-9) ÷ (-3)Divide:                       10 - 7 + 3Subtract:                   3 + 3Add:                           6
Correct answer is “6”

need help on worksheet

Answers

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation:

the answer will be 0,-2,2,-1,1

I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......

The ratio of John's earning to Musa's earning is 5:3. If Johns earning increases by 12% his new figure becomes 5,600. Find the corresponding percentage change in musa's earning if the sum of their new earning is 9,800. ​

Answers

Answer:

37.6%

Step-by-step explanation:

You can use find John's original earnings by taking 12% off of 5600. You can do this by doing 0.78 x 5600, and you get 4368.

Now, we can use John's orignal earning to find Musa's original earning. Knowing that their earning's correspond, you can use the proportion 5/3 = 5600/x. You can use cross products to solve:

4368 x 3 = 5x

13104 = 5x

2620.8 = x

Musa's original earnings was 2620.8.

If the sum of their new earnings is 9800, we can take of John's new earnings to find Musa's new earnings. 9800 - 5600= 4200. That means Musa's new earnings were 4200. To find the percentage, we can use the following equation, and then solve:

2620.8 = 4200x

.624 = x

That means that 2620.8 is 62.4% of 4200, and that it increased by 37.6%.

Hope t helps! Have a great day! Sorry it took so long.... I was trying to give a good answer :)

At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two snacks and three movie tickets are $32. What is the cost of a snack and movie ticket?

Write a systems that could be used to solve this problem. Let x = the cost of a snack in dollars and let y = the cost of a movie ticket.

Answers

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

x tickets= 8x

x snacks= 4x

Thank you! Btw can i please get brainly :3

A car dealer wants the ratio of 3 trucks to 11 cars on his lot. If he has 87 trucks on his lot, how many cars should he have on his lot?

Answers

Answer:

hi

Step-by-step explanation:

hell0

Which expression is equivalent to StartRoot negative 108 EndRoot minus StartRoot negative 3 EndRoot?
5 StartRoot 3 EndRoot i
6 StartRoot 3 EndRoot i
7 StartRoot 3 EndRoot i
8 StartRoot 3 EndRoot i

Answers

(4√5)i

Step-by-step explanation:

Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.

Complex numbers can also be graphed on the complex plane.

√(-80) = √(-1) × √(80)

But since √(-1) = i

√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i

√(-80) = (4√5)i

Answer:

A

Step-by-step explanation:

edge 2020

Plzzzzzz im not lying i really need help plz y'all

Answers

theres 8000 more people in the theater than in the concert hall

Answer:

8000

Step-by-step explanation:

7-7=0

2-2=0

6-6=0

take the 1 out of 14,000 and add that to the 4 as a ten so you get 14 and than subtract 6 to get 8

9+2(3^2)

please help

Answers

Answer:

The answer is 27.

Step-by-step explanation:

9+2(3^2)

=9+18

=27

Answer:

27

Step-by-step explanation:

9 + 2(3²) = 9 + 2 * 9

               = 9 + 18

               = 27

The table shows a ratio used to make orange paint. Using the table, how many quarts of yellow paint would be required to make this shade of orange if you used 9 quarts of red paint?

Answers

Answer:

7.5

Step-by-step explanation:

To make orange-shaded paint if we use 9 quarts of red paint we need 7.5 quarts of yellow paint.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given to make an orange shade paint 5 quarts of yellow paint and 6 quarts of red paint are needed.

Assuming the no. of yellow paint needed is x when 9 quarts of red paint is used.

As they are in direct proportion we can write

5 : 6 : : x : 9.

5/6 = x/9.

6x = 45.

x = 7.5.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Does anyone know this because clearly i dont

Answers

I think it’s either A or C
It’s actually D cause the line needs to be open and clearly if you try to plug in (0,0) it is a solution which means the right side needs to be covered

3/4g=-12

solve and if you can explain the process bc I have no clue what I'm doing

Answers

Answer:

-16

Step-by-step explanation:

3/4 = 0.75

0.75 x -16 = -12

Does (–3, 9) make the equation y = –3x true?

Answers

Answer:

Yes, (-3,9) makes the equation of y = -3x true

Step-by-step explanation:

y = -3x     (-3,9)

9 = -3(-3)

9 = 9

TRUE

Answer:

Move convo here

Step-by-step explanation:

if the jumping price is 18.50 per hour and the fee for socks is 3.25 what is the total cost in dollars for the 5 friends to jump for 1 hour the total cost is​

Answers

Answer: $108.75

Step-by-step explanation: 18.50+3.25=21.75 Per Person 21.75x5=108.75

PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!

Answers

I think the answer is A

PLZ HELP I NEED THE ANSWER

Answers

Answer:

D I belive

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

Please HELP
Which statement is true ??

Answers

D. angle A and B are the same angle

Answer:

the answer is d(<a=<b)

Step-by-step explanation:

because alternate interior angles are equal

2 - (7/8 - 3/4) what is the answer

Answers

Answer: hjhgxxhjhg

Step-by-step explanation:

Select the correct description for the expression x+3/5
A. The quotient of a sum and a number
B. The quotient of a difference and a number
C. The product of a number and a sum
D. The product of a number and a difference

Answers

Answer:

the answer is A that's the answer

PLZ HELP ME 30 POINTS TROLLERS WILL BE REPORTED

Answers

Answer:

56.25 B (haha troll go brrr)

Step-by-step explanation:

the ratio of the triangle measurements are:

60/45=75/x

60x=3375

x=56.25, therefore the distance of the new bridge is 56.25

18 = 5p + 3 NEED HELP ASAP

Answers

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]5p+3=18\\5p=15\\p=3[/tex]

Hope this helps plz hit the crown :D

Answer:

Are you solving for p , because if you are p = 3

Step-by-step explanation:

18 = 5p + 3

Subtract 3 from both sides

15 = 5p

Divide by 5 in both sides

p = 3

8. A right triangle has an angle
measure of 52.40. What is the
value of x, the missing angle?

Answers

Answer:

The missing angle is 37.60 degrees.

Step-by-step explanation: 180-90-52.40=37.60

I WILL GIVE BRAINLIEST IF CORRECT The area of a square is 49 square centimeters. Find the length of a side. Find the length of the
diagonal

Answers

Answer: 7

Step-by-step explanation:

Since squares have the same side lengths

then you need to find a number that multiplies twice that equals 49

7*7 = 49

Answer: Length of a side: 7 / Length of the diagonal: 9.9

Explanation:

Just square root 49, so it becomes 7. That's the side length. In order, to find the diagonal of the square, just use Pythagorean Theorem, a^2+b^2=c^2. Because it's a quadrilateral, all of the sides should equal 7. a^2 would be 7 and b^2 would be 7. 49+49=98. Square root 98 and you would get 9.899... That would be estimated to 9.9.

You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps

Answers

Answer:

no se

Step-by-step explanation:

The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards

From the graph given :

The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards

The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards

Hence, the coordinate of the midpoint is (150, 250)

The distance walked to school :

Distance = √(y2 - y1)² + (x2 - x1)²

Distance = √(400 - 150)² + (300 - 250)²

Distance = √250² + 50²

Distance = 254.95 yards

Therefore, the distance the boys walk to school is 254.95 yards.

Learn more : https://brainly.com/question/20226272

Help pls I’m really stupid

Answers

It’s 8 because 8 don’t call yourself stupid

Answer:

8

Step-by-step explanation:

[tex]x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8[/tex]

You are a genius and not a stupid.

How do you solve this?
Look at attached file please...I'm really confused!

Answers

Answer:

X=18, Y=6

Step by Step Explanation:

This is a little long winded.. Let's solve for Y first.

First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.

Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.

Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.

So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.

Answer:

X=18 y=6

Step-by-step explanation:

explain and solve

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