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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Solve for x 5x/−6=−40/3 Enter your answer in the box. x =
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
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.
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
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
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
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]
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?
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
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?
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
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?
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
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
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)
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?
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
Answer: The range is 20, Standard Deviation, σ: 6.8702256149271
Step-by-step explanation:
I hope it helped!
<3
Please help me thank you
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
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,
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.
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.
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.
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.
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.
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
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?
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?
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
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 -2The 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
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 DistributionIn 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.
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
\(\begin{equation*} Domain:\text{ }(-2,\infty),\lbrace x:x>-2\rbrace \end{equation*}\)\(Range:(-\infty,\infty),\lbrace y:y\in\Re\rbrace\)