A manufacturer sells a piece of aluminum that
is 5.50 cm wide. A student measured it to be
5.33 cm wide. What is the percent error of
the student's measurement?
00
A
3.1%
3.2%

Answers

Answer 1

The percentage of error in the students measurement is 3.1%.

Given, A manufacturer sells a piece of aluminum that is 5.50 cm wide.

A student measured it to be 5.33 cm wide.

we are asked to determine the percent error of the student's

measurement = ?

Based on the given conditions, formulate:

(5.5-5.33) ÷ 5.33

Calculate the difference.

= 0.17/5.33

Convert decimal to fraction:

17/100/533/100

Divide a fraction by multiplying its reciprocal:

17/100 × 100/533

Cross out the common factor:

17 × 1/533

Write as a single fraction:

17/533

Re write as a decimal :

0.0318794

multiply and divide by 100.

= 3.1894%

≈ 3.1%

Hence the percent error of the student's measurement is 3.1%

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Related Questions

Solve for x 5x/−6=−40/3 Enter your answer in the box. x =

Answers

Answer:

^ you need to feel more confident my brother or sister and say I know its 16 and don't make people worried about getting the question wrong by saying I'm pretty sure beacuse that dosn't seem like a 50%50 percent

Step-by-step explanation:

But yes it is 16

Solve for x 5x/6=40/3 Enter your answer in the box. x =

The value of x in the given expression is 16.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression -5x/6 = -40/3, we will have to find the value of x,

-5x/6 = -40/3

Minus sign will be cancelled,

5x/6 = 40/3

5x/2 = 40

5x = 80

x = 16

Hence, the value of x in the given expression is 16.

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The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.

When d=6, T=5

Find the value of T when d=3

Input note: give your answer correct to 2 decimal place.

Answers

Answer: T= 3.54

Step-by-step explanation:

Step 1

Given that

The time period, T, s doirectly proportional  to the square root of the length, d, of the pendulum, we have that

T  ∝  \(\sqrt{d}\)

Introducing the constant of proportionality, we have that

T= K\(\sqrt{d}\).

Step 2

When d=6, T=5, K =?

T= K\(\sqrt{d}\).

5 = k\(\sqrt{6}\)

5=  k x 2.44949

k =5/2.44949

k =2.041

Therefore, when d = 3 , T= ?

T= K\(\sqrt{d}\)

T= 2.041 x \(\sqrt{3}\)

T= 3.53511≈ 3.54

Which relations are functions?

A

x

y

-2

-4

-2 -6

0

-8

2

-10


B

x

y

0

4

10 5

20

6

10

7

C

x

y

2

-10

1 -20

0

-10

-1

-20

D

x

y

2.5

0

3.5 4

4.5

8

6.5

12

E

x

y

-10

4

-20 5

0

6

-10

7

Answers

Answer:

A. Relation

B. Relation

C. Function

D. Function

E. Relation

12 large eggs

1.1.1 a large egg weighs an average of 46.5 write your answer in kg​

Answers

The weight of 12 large eggs in kilograms is 0.558 kg.

What is average weight?

A calculation known as a weighted average accounts for the varying levels of significance of the numbers in a data collection. Each number in the data collection is multiplied by a predetermined weight before the final calculation is made when calculating a weighted average.

According to question:

To convert the weight of 12 large eggs from grams to kilograms, we need to do the following:

Determine the total weight of the 12 large eggs in grams:

46.5 grams/egg x 12 eggs = 558 grams

Convert the total weight in grams to kilograms by dividing by 1000:

558 grams / 1000 = 0.558 kilograms

Therefore, the weight of 12 large eggs in kilograms is 0.558 kg.

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HELP SOMEONE EXPLAIN THIS PLEASE

HELP SOMEONE EXPLAIN THIS PLEASE

Answers

Answer:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

Step-by-step explanation:

Total expenses for this year: $214.00

The child fee will be: $x

and the adult fee will be $(x+2)

Last year the number of children was 44

and the number of adults was 33

this year also has the same number of children and adults.

which means the entrance fee total for children will be $44x and for adults will be $33(x+2).

44x + 33(x+2) = 214

--> 44x + 33x + 66 = 214

--> 77x = 214 - 66 = 148

--> x = 148/77 = 1.92

So children's price is $1.92 and adults price is $1.92 + 2

hence:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

peter's international barbershop is a popular haircutting and styling saloon near the campus of the brooklyn college. one barber is available to work full time and spend an average of 4 minutes on each customer. customers arrive all day long at an average rate of 5 minutes arrivals tend to follow the poisson distribution, and service times are exponentially distributed. explain your results. [5 points]

Answers

If we assume that the average rate of arrivals is 5 minutes, then this means that the Poisson distribution will have a mean of 5 customers/minutesThis means that the probability that a customer arrives in the next minute is 0.2 (1/5).

The exponential distribution will have a mean of 4 minutes, meaning that the probability that the customer is served in the next minute is 0.25 (1/4).

Therefore, the expected number of customers that the barber can serve in an hour is 15 (5*4). The expected number of customers served in a given minute is 0.2 (1/5) * 0.25 (1/4) = 0.05. This means that the barber can expect to serve an average of 3 customers per hour.

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Ten friends want to play a game. They must be divided into thee teams with three people in each team and one field judge. In how many ways can they do it?

Answers

Answer: 840 ways

Step-by-step explanation:

\(\displaystyle\\C_{10}^1*C_9^3=\\\\\frac{10!}{(10-1)!1!} *\frac{9!}{(9-3)!3!}=\\\\\frac{9!10}{9!1} *\frac{6!*7*8*9}{6!*1*2*3}=\\\\10*\frac{7*8*9}{2*3} =\\\\10*84=\\\\840\ ways\)

Answer: 840 ways

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Step-by-step explanation:

The difference between seven times a number and four more than four times the number

Answers

Answer:

4x + 4 - 7x

Step-by-step explanation:

Answer:

if number = x

4*x + 4 - 7*x

Sep 27,
The midpoint of AB is M(-5,0). If the coordinates of A are (-8,5), what are the
coordinates of B?

Answers

Answer:

Step-by-step explanation:

(x-8)/2 = -5

x - 8 = -10

x = -2

(y+5)/2=0

y + 5 = 0

y = -5

(-2, -5)

How do I graph the function f(x) = 1/2(2)^x

Answers

Answer:

y=0

Step-by-step explanation:

The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?

Answers

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Find the product.
0.55 × 3

Find the product.0.55 3

Answers

Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

×     3

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

1  1

1 . 6 5

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find. (F o G) (-5)
26


3


–59


–6

Answers

Answer:

-59

Step-by-step explanation:

f(x) = -2x - 7 and g(x) = -4x + 6.

f(g(x)) =

Replace x in the function f(x) with g(x)

     = -2(-4x+6) -7

    = 8x -12 -7

    = 8x - 19

Let x = -5

f(g(-5) = 8(-5) -19

    = -40 -19

   = -59

whatt is the equation of the line that passes through the points (-3,-3) and (3,1)

Answers

Answer:

\( m=\frac{y_2 -y_1}{x_2 -x_1}\)

And replacing we got:

\( m=\frac{1-(-3)}{3-(-3)}= \frac{4}{6}=\frac{2}{3}\)

And we can use one of the points in order to find the intercept like this:

\( -3= \frac{2}{3} (-3) +b\)

\( b =-3 +2=-1\)

And the equation would be given by:

\( y= \frac{2}{3}x -1\)

Step-by-step explanation:

We want an equation given by:

\( y=mx+b\)

where m i the slope and b the intercept

We have the following two points given:

\( (x_1 = -3, y_1 =-3), (x_2=3, y_2 =1)\)

We can find the slope with this formula:

\( m=\frac{y_2 -y_1}{x_2 -x_1}\)

And replacing we got:

\( m=\frac{1-(-3)}{3-(-3)}= \frac{4}{6}=\frac{2}{3}\)

And we can use one of the points in order to find the intercept like this:

\( -3= \frac{2}{3} (-3) +b\)

\( b =-3 +2=-1\)

And the equation would be given by:

\( y= \frac{2}{3}x -1\)

What is the reverse of add 197?

Answers

Answer:

791 should be the answer

Step-by-step explanation:

Find the range and standard deviation of the set of data.

11 8 5 11 25

Answers

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

Please help me thank you

Please help me thank you

Answers

Answer:

The missing number is 30

Step-by-step explanation:

When you look at the chart and see that it starts at 6 and then goes to 12,18, and 24 you are simply adding 6 each time to get the next number.

What is the slope of a line that passes through the points (-2, 3) and (4, -12)?Choices -3/2 -5/2 -2/5 -9/2

Answers

Answer:

B) - 5/2

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

To find the slope use the slope formula:

\(m=\cfrac{y_2-y_1}{x_2-x_1}\),   where, \(x_1=-2,\ y_1=3,\ x_2=4,\ y_2=-12\)

Substitute the coordinates into slope formula to get the slope:

\(m=\cfrac{-12-3}{4-(-2)}=\cfrac{-15}{6}=-\cfrac{5}{2}\)

The matching choice is B.

What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3? Please show step by step solution,

Answers

Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Part Two!

Angela worked on a straight 11%
commission. Her friend worked on a salary of $950
plus a 7%
commission. In a particular month, they both sold $23,800
worth of merchandise.

Step 2 of 2 : How much did her friend earn for the same month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Answers

Angela's friend earned a salary of $950 plus a commission of $1,599.50 for a total earnings of $2,549.50 in the month they both sold $23,800 worth of merchandise.

To find out how much Angela's friend earned in the same month, we need to first calculate their commission earnings.

Angela's commission earnings can be found by multiplying the total sales by her commission rate of 11%:

Commission earnings = $23,800 x 0.11 = $2,618

Now, let's calculate her friend's commission earnings. First, we need to subtract the salary from the total sales:

Total sales - Salary = Commissionable sales
$23,800 - $950 = $22,850

Next, we can calculate the commission earnings by multiplying the commissionable sales by the commission rate of 7%:

Commission earnings = $22,850 x 0.07 = $1,599.50

Adding the commission earnings to the salary gives us the total earnings for the month:

Total earnings = $950 + $1,599.50 = $2,549.50

Therefore, Angela's friend earned $2,549.50 for the same month.
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A plane traveled 1056 miles each way to carson city and back, The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

1056 = 11 x 3.2 x 3

Step-by-step explanation:

Find hyptoenuse

A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.

Answers

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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Vanessa was given a math problem to determine how many different rectangles can be constructed with an area of 12 square inches Vanessa thinks that there are only two: one with a width of 2 inches and a length of 6,and another with a width of 3 inches and a length of 4 inches.

Answers

Answer:

Step-by-step explanation:

the answer is 21 because 12+2+3+4=21 so i state my answer is 21

Answer:

There are 3 different rectangles (in feet): 2 by 6; 3 by 4; 1 by 12

Step-by-step explanation:

The answer is that there is an infinite number of rectangles with area 12 sq in.

If the length and width must be whole numbers, then you need to find all different pairs of numbers whose product is 12.

2 × 6 = 12

3 × 4 = 12

The two pairs of numbers Vanessa thinks are correct, but there is one more.

12 × 1 = 12

Answer: There are 3 different rectangles: 2 by 6; 3 by 4; 1 by 12

Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.

Answers

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

x = 15/7

or 2.142857..... in decimal

Hope this helps

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What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000

Answers

Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

What are the x- and y-intercepts of f(x) - 3x - 4?

Answers

The x- and y-intercepts as required to be determined in the task content are; (-4/3, 0) and (0, -4).

Which points represent the x- and y-intercepts of the function?

As evident in the task content; the given function is; f(x) = - 3x - 4.

The x-intercept represents the value of x when f(x) = 0.

0 = -3x - 4

3x = -4

x = -4 / 3.

The y-intercept represents the value of f(0); hence, we have that;

f (x) = -3(0) - 4

f(0) = -4.

Ultimately, the points which correctly represents the x- and y-intercepts are; (-4/3, 0) and (0, -4).

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The area of a rectangle is 245.25. If it has a width of 14 1/4, what is the length?

Answers

Answer:

3 6 8

Step-by-step explanation:

i just need them points.

WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED BELOW?F. ALL REAL NUMBERSG. ALL REAL NUMBERS GREATER THAN 2H. ALL REAL NUMBERS GREATER THAN -2J. ALL REAL NUMBERS GREATER THAN OR EQUAL TO -2

WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED BELOW?F. ALL REAL NUMBERSG. ALL REAL NUMBERS GREATER THAN

Answers

The domain of a function is the set of values for which the function is defined. All the valueso of x where the function is defined (where there is graph).

For the given graph the domain is from x > 2 (not incluided -2)

Domain: All real numbers greater than -2

The distribution of SAT II Math scores is approximately normal with mean 660 and standard deviation 90. The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is approximately what

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

Normal Probability Distribution

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem:

The mean is of 660, hence \(\mu = 660\).The standard deviation is of 90, hence \(\sigma = 90\).A sample of 100 is taken, hence \(n = 100, s = \frac{90}{\sqrt{100}} = 9\).

The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is 1 subtracted by the p-value of Z when X = 670, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{670 - 660}{9}\)

\(Z = 1.11\)

\(Z = 1.11\) has a p-value of 0.8665.

1 - 0.8665 = 0.1335.

0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

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Graph the logarithmic function =gxlog4+x2.To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graph-a-function button.Additionally, give the domain and range of the function using interval notation.

Graph the logarithmic function =gxlog4+x2.To do this, plot two points on the graph of the function, and

Answers

Given: A logarithmic function

\(g(x)=\log_4(x+2)\)

Required: To graph the given function with asymptote and give the domain and range of the function.

Explanation: To graph, the given function draw a table of g(x) and x as follows

Now plotting these points on a graph gives

Now the vertical asymptote can be found by setting argument (x+2) equal to zero.

Which gives x=-2 as an asymptote of the given function.

Now for the domain and range of the function

\(Domain:\text{ }(-2,\infty),\lbrace x:x>-2\rbrace\)\(Range:(-\infty,\infty),\lbrace y:y\in\Re\rbrace\)

Where y=g(x)

Final Answer: Vertical Asymptote occurs at x = -2

\(\begin{equation*} Domain:\text{ }(-2,\infty),\lbrace x:x>-2\rbrace \end{equation*}\)\(Range:(-\infty,\infty),\lbrace y:y\in\Re\rbrace\)

Graph the logarithmic function =gxlog4+x2.To do this, plot two points on the graph of the function, and
Graph the logarithmic function =gxlog4+x2.To do this, plot two points on the graph of the function, and
Other Questions
can you help me with this A) In the figure below, a cylinder is compressed by means of a wedge against an elastic constant spring = 12 /. If = 500 , determine what the minimum compression in the spring will be so that the pad does not move. Disregard the weight of the blocks and . The coefficient of friction between and the pad and between the floor and the pad is s = 0.4. Consider that the friction between the cylinder and the vertical walls is negligibleAnswer: 4.08 cm.B) Determine the lowest force required to lift the weight of 750 . The static coefficient of friction between and and between and is s= 0.25, and between and is 's = 0.5. Disregard the weight of the shims and .Answer : 1095.4 N. leo foods is an eatery that sells organic food. it opens a number of outlets across the state, creates a website that makes ordering and take-away easy, and also does not charge a delivery fee for its regular customers. which step of the consumption chain does this scenario depict? Quick algebra 1 question for some points! Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help! Precise genotyping of circular mobile elements from metagenomic data uncovers human-associated plasmids with recent common ancestors a 80-cm3 block of wood is floating on water, and a 80-cm3 chunk of iron is totally submerged in the water. which one has the greater buoyant force on it? 4. Zero correlation can be modeled using a cubic model.a trueb. false 100 POINTS PLEASE HELPPP An entry of (100) in net income, reported on the income statement, would be entered as (100) where else?A. In balance sheet liabilitiesB. In balance sheet assetsC. In financing cash flowD. In operating cash flow If Myrtle were an animal, she would be...because... Pls I only need #9 DONE Exercise 2 Underline the adjective clause in each sentence. Write N next to the nonessential clauses and E next to the essential clauses.Stephanie studied every night, which helped her become a better student. which of the following are bee per frame attribute what energy-carrying molecule is created in this process? Under what conditions is the effectiveness-NTU method definitely preferred over the LMTD method in heat exchanger analysis? !!!!!HELP PLEASE !!!!!! on march 16, john write, owner of complete computer service, contributed a building to the business with a fair market value of $3,000 in exchange for capital. the journal entry to record this transaction would be: Please help me!!!!!!!!!!!!!!!!!!!!!!!!!! Explain why people were moving to specific places, and what kind of life awaited them once they arrived. The variables y and x have a proportional relationship, and y = 24 when x = 16.What is the value of x when y = 36?O x = 16OX= 24O x = 3O x = 54 please help me Lalala