Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer 1

If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.

How to find the percent error?

Using this formula to find the percent error

Percent error = Measurement - Actual length / Actual length

Let plug in the formula

Percent error = 12.2 - 12.1 / 12.1

Percent error = 0.1 /12.1

Percent error = 0.0083 or 0.83%

Therefore we can conclude that the percent error is 0.83%.

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Related Questions

Write complex number in standard form.

Answers

Answer:

it's B

[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]

Answer:

C

Step-by-step explanation:

please refer to the sketch


what the answer to the math question?

Answers

0, 3, 5, 8

pretty sure, i have bad memory

The side of a triangle are 64, 47 And 39 use the Pythagorean theorem to determine if a triangle is right acute or obtuse

Answers

Answer: obtuse

Step-by-step explanation:

64+47=111

111>39

Find the equivalent measures. Express as a decimal
(a) 250 cm =

Answers

The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.

Consider the composite function g(f(x)) =x√6.
If f(x) = 3x², what is g(x)?
O g(x)=√2x
Og(x)=√x+3
Og(x)=√6x
O g(x)=√9-x

Answers

So on solving the provided question, we can say that the function g(x) is equal to g(x) = [tex]\sqrt{2x}[/tex]

A composite function is what?

The mathematical procedure known as "function composition" takes two functions, f and g, and creates a function, h = g f, such that h(x) = g. This process involves applying the function g to the outcome of applying the function f to x. When the result of one function is utilized as the input for another, this is known as a composite function. The function f g (x) fg(x) fg(x) fg(x), also known as "f of g of x" or "f g fg fg of x," is the composition of the two functions if we have a function f and another function g.

f(f(x)) = [tex]\frac{x}{\sqrt{6} }[/tex]

f(x) = 3x^2

g(f(x)) = [tex]\frac{3x^2}{\sqrt{6} }[/tex]

g(x) = [tex]\sqrt{2x}[/tex]

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What is the probability of tossing a coin and getting heads three times in a row?

What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?

Answers

The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5

How to find the probability?

Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:

P(tails) = 0.5

P(heads) = 0.5

Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:

P(3 heads) = 0.5*0.5*0.5

P(3 heads) = 0.5^3

P(3 heads) =  0.125

Now, after this point, what is the probability of getting heads or tails?

Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.

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Victoria needs to earn at least an 85 in College Algebra. Only exam scores are used to calculate her grade. Currently she has scored an 82, 81, and 90 this semester. All that remains is the semester exam, which counts twice (counts as two exam grades). She hopes to make an 85 or higher in the class.

Answers

She would need to make two extra grades of 86 each.

What is the average?

Here we can see that the average of the scores that Victoria would need to make is an average score of 85 so as to be able to pull through. In this case, we can see that we have the scores; 82, 81, and 90

Let the scores tat we have to count twice be p each and then we have;

85 = 82 + 81 + 90 + p + p/5

85 = 253 + 2p/5

5(85) = 253 + 2p

p = 5(85)  - 253/2

p = 86

Hence, the twice scores that need to be earned for Victoria are both 86.

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Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x

Answers

The missing measure of the given right-angled triangle is: x = 2.5

How to find the measure?

Given a right-angled triangle, with one of its angle as 14° ,assume

angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.

As it is given it's a  right-angled triangle,

∴ By using trigonometric formula,

 tan y = opposite /adjacent

∴ tan 14° = z/x

 tan 14°  = 18/x

 7.24 = 18/x                   ......( as tan 14°= 7.24)

∴ x = 2.48

∴ x ≈ 2.5

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4 times a number decreased by 2 is at most 10

Answers

Answer: N is less than or equal to 2

The statement above can be written as
4n - 2 <= 10.

1. Add two on both sides
4n -2+2 <= 10-2

2. Simplify
4n <= 8

3. Divide by 4 on both sides
4n/4 <= 8/4

4. Simplify
N<= 2

Which of the following is the slope of the line y - 3x =0​

Answers

Answer:

-3

Step-by-step explanation:

Answer: The slope whould be 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept:

(0,0)

x|y

----

0|0

1|3

A small town surveyed 250 adults,
150 of the adults who
180 of whom were parents, about whether a park should be expanded The results showed that
were parents and 40
of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes
No
Parents
Not parents

Answers

According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.

The park be expanded?

250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.

Parents: YES OR NO Not parents: 40 | 30 of 150

In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:

In fact, parents will be 150, not 40.

Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.

The park should be extended, according to 40 of the people who weren't parents.

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Britney bought 4 apples, 5 bananas, and 8 oranges at the grocery store.

Which is the ratio of apples to oranges written as a decimal?
A.
1.6
B.
0.4
C.
0.8
D.
0.5

Answers

Answer:

Step-by-step explanation:

The question asks for apples to oranges.

So put the number of apples as a numerator and the number of oranges as a denominator.  Simply put 4 on top and 8 on the bottom:

4/8 then divide:  4 divided by 8 = .5

There is the ratio as a decimal.

0.5

Option D

its 9/16 close to 0, 1/2 or 1 explain

Answers

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

Solve the following mentally 65% of 100

Answers

Answer: 65

Step-by-step explanation:

Can someone help? I answered it, but I want second opinions.

Answers

Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.

What is gross pay and net pay?

Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.

The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.

Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.

So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.

Also given the time he took for lunch is half an hour.

Therefore, The total hour he worked is 7:30 hours.

He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).

= $56.25.

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A project requires you to figure out the area of a triangular lot. You take measurements and find that the lot has a base of 32 ft., while the altitude of the triangle, or height is 24 ft. What's the area of this lot?

Answers

We are asked to find the area of the given triangle with a base of 32ft and a height of 24ft.

Area of a triangle, A=(1/2)bh, where b is the base and h is the height.

Plug in the given information:

A=(1/2)(32)(24)

=> A=384 ft^2

An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.

y = __

Answers

The equation will be  [tex]y=40000+16000*x[/tex]

How do you resolve a two-variable equation?

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Two variables are used in what kind of equation?

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Mental Math In a toy​ store, the ratio of the number of dolls to the number of teddy bears is . If the store has 240​ dolls, how many teddy bears are in the​ store? Use pencil and paper. Describe the mental math steps you use to solve this problem.

Answers

Answer:

Step-by-step explanation:

Dolls:240 Teddy Bears:120

120:240

Please Describe the fraction If Possible.

156x2.2=?????Help fast

Answers

Answer:

343.2

Step-by-step explanation:

156 × 2.2

= (156 × 22)/10

= 3432/10

= 343.2

The distribution of the amount of money undergraduate students spends on books for a term is slightly right-skewed, with a mean of $400 and a standard deviation of S80. If a simple random sample of 100 undergraduate students is selected, what is the probability that these students spend, on average, more than $425 on books?

Answers

The probability that on average these students spend more than $425 on books is given as follows:

0.0009 = 0.09%.

How to obtain the probability using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters for this problem are given as follows:

[tex]\mu = 400, \sigma = 80, n = 100, s = \frac{80}{\sqrt{100}} = 8[/tex]

The desired probability is one subtracted by the p-value of Z when X = 425, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{425 - 400}{8}[/tex]

Z = 3.125.

Z = 3.125 has a p-value of 0.9991.

1 - 0.9991 = 0.0009 = 0.09%.

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What's the equation and solution?​

Answers

Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

What are the methods to solve system of equations?

There are three ways to solve systems of linear equations :

GraphingSubstitution methodElimination method

2=-8-x is the required balanced equation.

-x = 2 + 8

x= -10

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Education order reads: 24 hours after bone marrow transfusion give Neupogen 10 mcg/kg/d IV. Supply on hand. Neupogan 300 mcg/ml. Patient’s weight 115 lbs. Give __ mL

Answers

Education order reads: 24 hours after bone marrow transfusion give Neupogen 10 mcg/kg/d IV. Supply on hand. Neupogan 300 mcg/ml. Patient’s weight 115 lbs. Give 1.74 mL

What is the Neupogen calculations about?

To calculate the appropriate dosage of Neupogen to give to the patient, we need to convert the patient's weight from pounds to kilograms and then use the dosage provided in the order (10 mcg/kg/d IV).

First, we have to convert the patient's weight from pounds to kilograms:

115 pounds = 52.16 kg

Now we can use the dosage provided in the order (10 mcg/kg/d IV) to calculate the appropriate dosage for the patient:

10 mcg/kg/d IV

= 10 mcg/kg/day * 52.16 kg

= 521.6 mcg/day

Then, since the Neupogen is available in a solution of 300 mcg/ml, we can use the following formula to calculate the required volume of solution to give to the patient:

Volume = Dosage / Concentration

= 521.6 mcg / 300 mcg/ml

= 1.74 ml

So, the education order reads 24 hours after bone marrow transfusion, give 1.74 mL of Neupogen at a concentration of 300 mcg/mL IV.

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is 3/16 greater than 1/16

Answers

yes, it is because the numerator is bigger and the denominator is the same.
Yes, 3/16 is greater than 1/16

Someone please help me out

Answers

The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Hence, when a figure is a dilation of another figure, the two figures are scale drawings.

For this problem, the ratio between the bases of the rectangles is given as follows:

12/6 = 2.

The ratio between the height of each rectangle is given as follows:

6/2 = 3.

As the ratios are different, the two figures are not scale drawings of one another.

For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.

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Please help…. The table below shows the amount of money Linda spends for a craft demonstration

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those ones in the picture below.

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{53}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{53}-\stackrel{y1}{32}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{8}}} \implies \cfrac{ 21 }{ 7 } \implies 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{32}=\stackrel{m}{ 3}(x-\stackrel{x_1}{8}) \\\\\\ y-32=3x-24\implies {\Large \begin{array}{llll} y=3x+8 \end{array}}[/tex]

A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]

Please help will mark Brainly

Answers

Answer:

Step-by-step explanation:

the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

How many rectangular faces are in a right triangular prism?

Answers

Answer: A right triangular prism is a 3-dimensional geometric shape that has a triangular base and three rectangular faces that connect the base to the top. A rectangular prism has three pairs of rectangular faces that are congruent, these faces are perpendicular to each other and connected by edges.

So, in a right triangular prism there are 3 rectangular faces which are the lateral faces (the one that connects the base and the top)

A triangular prism also has 3 triangular faces which are the base faces

So in total, a right triangular prism has 3 rectangular faces and 3 triangular faces.

Step-by-step explanation:

the ratio of boys to girls in the sixth grade is 3 to 5 if there are 45 girls how many students are there in the 6th grade

Answers

Answer: 27 boys

Step-by-step explanation:

There is a rule in math, what you do to one side, you do to the other.

So in this case the ration is 3:5

                                             ?:45

As you can see, they multiplied 5 by 9 to get 45, remember the rule, so we do the same.

3 times 9 is 27, so 27 boys

Anthony wants to buy a CD for $400 that earns 2.5% APR and is compounded
quarterly. The CD matures in 3 years. He will be paid the interest he earns
each quarter. How much interest will Anthony have earned on this CD after
the first quarter?
A. $10.00
B. $3.25
c. $1.25
D. $2.50

Answers

Answer:i think A

Step-by-step explanation:

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