Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer 1

The percent error of the measurement, to the nearest tenth of a percent is 3.9%

Given:

Length measured = 12.2 inches

Actual length = 12.7 inches

Error = Actual length - Length measured

= 12.7 - 12.2

= 0.5

Percentage error = error / actual value × 100

= 0.5/12.7 × 100

= 0.039370078740157 × 100

= 3.937%

Approximately,

Percentage error = 3.9%

Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%

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Related Questions

can someone please tell me how to do 2470; 3030; 3320; 4030; 2900; 4120 in stem and leaf diagram?

Answers

Before you start, please make a title for your Stem & Leaf plot.

1) Make two columns; Stem and Leaf.

2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.

3) Under "Leaf":

Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.

4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.

The Key can be any set of numbers you have in your Stem and Leaf plot.

A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.

Answers

Answer:

2,000 tiles

Step-by-step explanation:

area of the floor divided by the area of one tile

area of a rectangle is length*width

so it's 40*15= 600

area of tile is 0.6m*0.5m = 0.3

600÷0.3 = 2,000 tiles

A class of 25 students has 12 females. What is the ratio of males to females?
PLZ ANSSWER QUICK ITS URGENT FOR MY HOME-WORK!!!

Answers

the ratio is 13 males and 12 females or 13:12

Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !​

Answers

Answer:

N/A; 32; -8

Step-by-step explanation:

4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest

5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32

6) -6m+6+6=4-7m, so m=-8

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?

Answers

Answer:

[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]

[tex]\displaystyle V_C = 27x^3[/tex]

Step 2: Find Combined Volume

[Set up] Add:                                                                                                     [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables:                                                                                    [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms:                                                                                        [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.

Answers

Answer:

5th term = 18

Step-by-step explanation:

a1    +    a1+d      a1 + 2*d      a1+3d      a1 + 4*d     a1 + 5d

a1 + 2d = 10

6*a1 + 15d = 72

Multiply the first equation by 6

6a1 + 12d = 60

Write the above equation underneath the second equation

6a1  + 15d = 72

6a1 + 12d = 60                Subtract

3*d = 12                            Divide by 3

d = 12/3

d = 4

a1 + 2d = 10

a1 + 2*4 = 10

a1 + 8 = 10                        Subtract 8 from both sides

a1 - 8 = 10- 8

a1 = 2

The fifth term is

t5 = 2 + 4*4

t5 = 18

5.
In Vietnam, the probability of rain is 70%. Find the
probability of it raining at most 2 days in a week.
a) .9712
b) 0.0250
c) .0287
d) .2988

Answers

Answer: the answer is C which is .0287

The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.

Let's use the binomial probability formula for this calculation:

The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)

p is the probability of success (rain in this case)

n is the number of trials (number of days in a week)

In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.

Now, let's calculate the probabilities for k = 0, 1, and 2:

Probability of raining 0 days in a week:

P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)

Probability of raining 1 day in a week:

P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)

Probability of raining 2 days in a week:

P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)

Now, add these probabilities together to get the probability of it raining at most 2 days in a week:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Calculate the values using the binomial coefficients:

C(7, 0) = 1

C(7, 1) = 7

C(7, 2) = 21

Now, calculate the probabilities:

P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187

P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775

P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215

Finally, add these probabilities together:

P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087

Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

So, the correct answer is (b) 0.0250.

Learn more about probability from the link given below.

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Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0

Answers

Answer:  Graph is below

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

Explanation:

We divide both sides by -4 to isolate p. This will flip the inequality sign.

-16 > -4p

-16/(-4) < -4p/(-4)

4 < p

p > 4

The graph has an open hole at 4 and shading to the right. See below.

The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The inequality is,

⇒ - 16 > - 4p

Now, Solve the inequality as;

⇒ - 16 > - 4p

Multiply by -1;

⇒ 16 < 4p

Divide by 4;

⇒ 4 < p

Thus, The solution of the inequality is,

⇒ 4 < p

And, This is shown in number line.

Learn more about the number line visit:

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Subtract
O
O
Iw + 4 from
I W .
+3
10-1
-w+1
w+7
- 7 / 20 + 7
7
-
O
O

Answers

Answer:  (1/4)w - 1

Step-by-step explanation:

[(1/2)w + 3] - [(1/4)w + 4]

[(1/2)w - (1/4)w] + [3 - 4]

(1/4)w - 1

Y varies directly as x if x=15 when y=20, find x when y=30

Answers

Answer:

X=22.5

Step-by-step explanation:

Y=kX

20=15k

k=4/3

For X when Y=30

30=4/3×X

Cross multiply

4X=90

X=22.5

is it Substitution or linear combination?​

Answers

Answer:

Substitution

Step-by-step explanation:

You would solve this system using the substitution method as one of the variables are define.

In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.

my Christmas present to you​

Answers

oh wow, thank you!

Hope you have a merry christmas!

Prove that APQR ~ ASTU

Answers

Thats how i do it ....i dont know about others

What is the total of 6, 4.25, and 7.74?

Answers

Answer:

17.99

Step-by-step explanation:

You answer will be 17.99

Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder

Answers

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

please help me to get the answers please read my questions​

Answers

Answer: Where is the question.

Step-by-step explanation: Where is the question.

You’re question is not on your account so where is it? If u can please comment it

please help me I have no idea what I'm doing :(​

Answers

Answer: A. 100%

Step-by-step explanation:

The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answers

Find the number of eggs in 7 crates:

1 crate = 12 eggs

7 crates = 12 x 7 = 84 eggs

Add the 8 eggs in their fridge:

84 + 8 = 92 eggs

Answer:

93

Step-by-step explanation:

7*12=84

84+9=93

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

Answers

Answer:

0.5160

Step-by-step explanation:

Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

number of samples

From the information given,

µ = 15

σ = 4

n = 31

We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as

P(14.5 ≤ x ≤ 15.5)

For x = 14.5

z = (14.5 - 15)/(4/√31) = - 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.2420

For x = 15.5

z = (15.5 - 15)/(4/√31) = 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.7580

Therefore,

P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160

Determine the measurement of the missing angle

Answers

Answer:

31

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.

Answers

Answer:

9

Step-by-step explanation:

9 pillows per hour i believe

write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%​

Answers

I think 80 percent… hope this helps

If each quadrilateral below is a rectangle, find the missing measure.​

Answers

JMK = 54
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!

May I please receive help?

Answers

Answer:

a = 19.6 (rounded to the nearest tenth)

Step-by-step explanation:

a^2 + b^2 = c^2

Hypotenuse - 35 m, Legs - 29 m, x

a^2 +29^2 = 35^2

a^2 + 841 = 1225

Subtract 841 from both sides

a^2 = 384

Square root both sides

√a^2 = √384

a = 19.595

26. Dy Aminah arrived at her office at 07 45h. The journey to her office was 50 minutes. At what time did she leave her house?​

Answers

Answer:

6 55

Step-by-step explanation:

!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:

A.
travel deep underground to take soil samples in a mine.

B.
meet with large cereal companies to take test the safety of their products.

C.
collect soil and water samples in a bay.

D.
climb into an attic to inspect for termite damage.

Answers

Answer:

meet with large cereal companies to take test the safety of their products.

Step-by-step explanation:

Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.

An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.

Answers

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

Which of the following is equivalent to 2/9
A. 0.029
B.0.2
C.0.29
D.0.3
E.0.39

Answers

Answer:

B would be the answer:))

Step-by-step explanation:

Divide 2 by 9

I would say the answer is B because the answer is 0.222222 for the devils of 2/9.

What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?

Answers

Answer:

yes you are right

Step-by-step explanation:

Answer:

Yes, you are right!

Step-by-step explanation:

I hope this helps!

the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks

Answers

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

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