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:

6%

Step-by-step explanation:

Estimated distance = 80 miles

Actual distance covered = 75.5 miles

We need to find the percent error of the cyclist's estimate. Its formula is given by :

[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]

Put all the values,

[tex]\%=\dfrac{80-75.5}{75.5}\times 100\\\\=5.96\%[/tex]

or

= 6%

So, the percentage error is 6%.

Answer 2

Answer:

5.96

Step-by-step explanation:


Related Questions

How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer:

Use the two ordered pairs to find the slope, m.

Then substitute one set of ordered pairs and m into y = mx + b to solve for b

Step-by-step explanation:

If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.

Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.

Use the 2 ordered pairs to find the slope, m .

Then substitute m and one set of ordered pairs into y = mx + b to solve for b.

If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.

For example

(x₁, y₁)(x₂, y₂)

m = slope = y₂ - y₁ / x₂ - x₁

The slope(m) is then substituted in the slope intercept form equation.

y = mx + b

where

m = slope

b = y-intercept

And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).

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What is the solution of the equation x + 12.23 = 28.659?
X =

Answers

Answer:

X=16.429

Step-by-step explanation:

move the constant to the right

calculate

28.659-12.23

=

16.429

CAN SOMEONE PLEASE HELP ME THIS TEST WAS DUE 2 DAYS AGO I ONLY GOT 10 MIN LEFT AND IM ONLY ON QUESTION 2 HELPPPP!

Answers

Answer:

The amount of water draining at a rate of 2.5 gallons per minute. I hope you do good on your test good luck! :)))

Step-by-step explanation:

Please answer this is homework i need help with

Answers

Look at the attachment

Giving brainliest to the correct answer 20 points!!!

Answers

Answer:

x, (40,0)

y, (0,15)

hope it helps

Answer:

78

Step-by-step explanation:

hvtyvyuhj7

What factors does Jenna need to model for the sides?

Answers

I don’t see a picture or anything? Can you explain more I don’t know the sides

Claim: the standard deviation of pulse rates of adult males is more than 11 bpm. For a random sample of 171 adult males, the pulse rates have a standard deviation of 11.4 bpm find the value of the statistic

Answers

Answer:

182.58842

Step-by-step explanation:

Given that:

Sample size (n) = 171

Population standard deviation σ = 11

Sample standard deviation s = 11.4

males is more than 11 bpm. For a random sample of 171 adult males, the pulse rates have a standard deviation of 11.4 bpm find the value of the statistic

The test statistic :

X² = ((n - 1) / σ²) * s²

X² = ((171 - 1) / 11²) * 11.4²

X² = ((170) / 121) * 129.96

X² = 1.4049586 * 129.96

X² = 182.58842

Can someone please help with this question please I need help?!

Answers

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

I’m pretty sure the answer would be b! Good luck!! :3

Jim wanted to find out what the audience thought about the debate. After the event, Jim stood at the exit to survey every fifth guest. Was this a random or a biased sample and why?

Answers

Answer: D. This was a random sample. It may have included anyone in attendance.

Step-by-step explanation:

The options are:

A. This was a biased sample. Jim should interview all in attendance.

B. This was a census. Any guest may have participated.

C. This was a random sample. It may not have included anyone in attendance.

D. This was a random sample. It may have included anyone in attendance.

A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.

With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.

This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.

The expression on the left side of an equation is shown below. Negative 6 x + 6 = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? –6 1 Negative 6 x Negative 6 x + 6

Answers

Answer:

The answer is -6x + 6

Step-by-step explanation:

For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side

Since we have -6x + 6 on the left hand side

To have infinite number of solutions, what we have on the right hand side will be the same

Thus, we have -6x + 6 on the second side

Answer:

It's D

Step-by-step explanation:

I just did it on edge

help me on this question

Answers

Answer:

Step-by-step explanation:

a) 16^ (-1/4)=2^4(-1/4)=2^-1=1/2

b) 27*9^3x=

we write 27=3^3

9=3^2*3x=3^6x

3^3 x 3^6x=   k=3+6x

A basketball player has a 60% chance of
making each free throw. What is the
probability that the player makes exactly
five out of seven free throws?

Answers

Answer:

8/10

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Whats the answer choices

1. y = x2 + 2x – 8

Axis of Symmetry:

Vertex:

Domain:

Range:

Answers

Answer:

Axis of Symmetry: x=-1

Vertex: (-1,-9)

Domain:   (- ∞ ,∞ )

Range: (-9,∞ )

Step-by-step explanation:

Gina has 7/8 pound of nuts that she wants to divide equally into 4 bags. How can Gina determine the amount of nuts she can put in each bag? For this problem Gina must divide a 1._________ by a 2. ________. The amount of nuts in each bag will be 3._________ 7/8 because 7/8 is 4._________ 4. Gina will be able to put 5._________ pound(s) of nuts in each bag. Word Bank 1. Fraction or Whole Number 2. Fraction or Whole Number 3. Less Than or Greater Than 4. Divided By or Multiplyed By 5. 7/2, 32/7, 7/2, 7/32

Answers

Gina must divide a fraction by a whole number.

The amount of nuts in each bag will be less than 7/8 because 7/8 is divided by 4.

Gina will be able to put 7/32 pounds of nuts in each bag.

Micah sketches the graph below to represent a scenario his teacher gave him.

On a graph, a line goes through points (0, 2) and (2, 4).
Which scenario could Micah’s graph represent?
Valerie has $1 and then earns $2 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie earns $1 per week (where x is the number of weeks) in allowance and has spent $2, for a total of y dollars.
Valerie earns $2 per week (where x is the number of weeks) in allowance and has spent $1, for a total of y dollars.

Answers

The scenario represented by the linear function y = x + 2 is given by:

Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The y-intercept is of 2, as when x = 0, y = 2.The slope is of 1, as when x changes by 2, y also changes by 2, hence m = 2/2 = 1.

Thus the function is given by:

y = x + 2.

Which means that the initial amount is of $2, and increases by $1 for each unit of time, hence the correct option is:

Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

More can be learned about linear functions at https://brainly.com/question/24808124

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Answer:

b

Step-by-step explanation:

HELP PLEASE!!! I just need someone to answer it so that this can help others!!!

Answers

Answer:

Bro its right

Step-by-step explanation:

what is the base of a triangle if the height is 8 in. and the area is 28 in. squared

Answers

Answer:

the base = 7 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 base * height

Area = 28

height = 8

base = ?

28 = 1/2 * 8 * base

28 = 4 * base

28/4 = base

base = 7

what is 2/3 of the distance between the points U (-1,4) and B (8,5)

Answers

Answer:

        6.037

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\U (-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4 \\\\B (8,5)\quad\implies\quad x_2=8\,,\ \ y_2=5\\\\\frac12d=\frac23\sqrt{(8+1)^2+(5-4)^2}=\frac23\sqrt{81+1}=\frac23\sqrt{82}\approx6.037[/tex]

Evaluate 3.6x + 4.5y when x=3 and y=7

Answers

Answer:

42.3

Step-by-step explanation:

3.6(3)+4.5(7)

10.8+31.5

42.3

50,6291583.9741
What place value does 4 hold in the number above?

Answers

number 4 is in the thousanths place

Find the area of the parallelogram. pick one of these
30 sq cm
40 sq cm
12 sq cm
17 sq cm

Answers

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

40 sq
Explanation: I took the test

4x + y = 4
8x + y = 5
If (x,y) is the solution of the system of equations above, what is the value of
x?

Answers

Answer:

if u substract the equations u get 4x = 1, therefore x = 1/4

Step-by-step explanation:

(8x + y) - (4x + y) = 5 - 4

4x = 1

x = 1/4

Amy has a collection of dimes and quarters. If the expression
V=0.25x+0.10y
represents the total value of the coins Amy has, the expression 0.10y
most likely represents the ...........

Answers

Answer:

the value of the dimes

Step-by-step explanation:

The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Amy has a collection of dimes and quarters. If the expression is given as,

V = 0.25x + 0.10y represents the total value of the coins Amy has.

The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is 8 to 5. Find the number of black tokens in the bag.

Can I have the answer please?

Answers

Answer:

There are 15 Black tokens.

Step-by-step explanation:

If the ratio is 8:5 we divide 24 by 8 to get 3. We then do 5 x 3 for the black tokens and get 15.

The number of black tokens in the bag are 15.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

In the bag, there are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

Now,

There are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

So, Number of green tokens = 8x

And,  Number of black tokens = 5x

Hence, We can formulate;

⇒ 8x = 24

⇒ x = 3

Thus, Number of black tokens = 5x

                                               = 5 × 3

                                               = 15

Therefore, The number of black tokens in the bag are 15.

Learn more about the ratio visit:

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yall pls help i would be very happy :)) Ill also give brainliest!
Which equation below would be perpendicular to the line x=5
a. y = 1/5x
b. y = 3
c. x =2
d. y = -5x

Answers

I believe it’s d because perpendicular mean you flip it and change the sign

Answer:

A) y=1/5x

Step-by-step explanation:

Coz, the way you identify a perpendicular line is by looking for its negative reciprocal. The neagtive reciprocal of 5= 1/5

Now, to check the ans we can multiply the negative reciprocal by "m"

(m in y=mx+c or y=mx+b)

in this case the "m" is stated as 5, so all we need to do is  1/5*5 if the ans is 1 then your ans is right....and over here it is

So thats how you identify & check perpendicular lines!

William is 11 years old. One day, his granddad took him and his younger brother to a basketball game. The tickets for the game were priced at $17 for adults (`a`) and $13 for children (13 years and younger) (`c`). What is the expression for the total cost of the tickets for William’s family and what was the total cost?

Answers

Answer:

43$

Step-by-step explanation: Three tickets total.

2 tickets cost 13$    =26

1 ticket 17 = 43 total

 

Hope this helped! God Bless!!

The total cost of the tickets for William’s family with 1 adult and 2 children is $43.

William's age = 11 years

Price for an adult = $17

Price for a child = $13

What will be the total number of tickets be bought?

The total number of tickets to be bought will be 3 i.e. William, His Granddad, and William's younger brother i.e. 1 adult ticket and 2 children tickets.

Total price = price of 1 adult ticket + price for 2 children's ticket

Total price =17+2*13

Total price =17+26

Total price =$43

Therefore, the total cost of the tickets for William’s family is $43.

To get more about such arithmetic problems visit:

https://brainly.com/question/21405634

Solve:
−7/3a+4=47/3

What is A
I will give extra points to who gets this right also will give brainliest

Answers

Answer:

a= -5

Step-by-step explanation

PEMDAS

At a basketball game, 95% of people attending were supporting the home team, while
5% were supporting the visiting team. If 532 people attending the game supported
the home team, what was the total number of people attending the game?
Help

Answers

Answer:

3800

Step-by-step explanation:

Answer:

560 total people attending the game.

Step-by-step explanation:

95 : 100 = 532 : x

(95%) 95 is to 100 = 532 (the # of people supporting the home team) is to x (the total number of people attending the game)

x = (532*100) /95

x = 560 total people attending the game.

5% of 560 = 28 visitor team Supporters.

Andres has 18 sour cherry fruit strips. He and 4 of his friends are going to share them all equally. How many fruit strips will each person get?
~PLEASE ANSWER QUICK~

Answers

Answer: 3 3/5

Explanation:

18÷4=3.6

3.6= 18/4

18/4 as a mixed number is 3 3/5

Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4

Answers

Answer:

Step-by-step explanation:

Javier did not raise the coefficients to the third power

When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

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