To find the sum of the absolute deviations, calculate the average of the data set and then subtract it from each value, taking the absolute value. Finally, sum up all the absolute deviations.
Explanation:To find the sum of the absolute deviations, we first need to find the average of the data set. The average is calculated by adding up all the numbers and then dividing by the total number of values. So, the average of the data set 8, 5, 15, 12, 10 is (8 + 5 + 15 + 12 + 10) / 5 = 50 / 5 = 10.
Next, we calculate the absolute deviation for each number by subtracting the average from each value and taking the absolute value. The absolute deviations for the given data set are: |8 - 10| = 2, |5 - 10| = 5, |15 - 10| = 5, |12 - 10| = 2, |10 - 10| = 0.
Finally, we sum up all the absolute deviations: 2 + 5 + 5 + 2 + 0 = 14. Therefore, the sum of the absolute deviations is 14. So the correct choice is 14.
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The sum of the absolute deviations of the dataset 8, 5, 15, 12, 10 is calculated by finding the mean of the dataset, calculating the absolute difference of each data point from the mean, and summing up these absolute values. The result is 14.
Explanation:The sum of the absolute deviations of a dataset is determined by first finding the mean of the dataset, and then finding the absolute difference of each data point from the mean. The sum of these absolute values is the sum of absolute deviations.
Here is how to do this with your dataset: 8, 5, 15, 12, 10.
Calculate the mean (average) of the dataset: [tex](8+5+15+12+10)/5 = 10[/tex]Find the absolute difference of each data point from the mean: [tex]|8-10|, |5-10|, |15-10|, |12-10|, |10-10|[/tex], which are 2, 5, 5, 2, and 0 respectively.Sum up these absolute values: [tex]2 + 5 + 5 + 2 + 0 = 14[/tex]So, the sum of the absolute deviations of your dataset is 14.
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what does the expression 0.30y represent ?
Sarah wants to hang a mirror in her room. The mirror and frame must have an area of 15 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 3ft on the left frame and width of 4ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 3x2 + 14x − 2 = 0 4x2 + 14x − 3 = 0 x2 + 12x − 14 = 0 2x2 + 7x − 14 = 0
the fifth grade classes at sunshine School you six identical buses to go on the field trip there were a total of 30 seats on each bus all the seats on 5 buses were filled the 6 bus had 4/6 of the seats filled 1/5 of all the passengers were adults how many adults went on the field trip with the fifth grade class
A math club took a math test. Twelve of the members had an average score of 80. Eighteen of the members had an average score of 86. what is was the class average
which of the following is the correct notation for the complex number
[tex] \sqrt{ - 81 - 14} [/tex]
The complex number √-81-14 is best represented as 9i - √14 (option A)
Why is this correct?
In order to determine the correct notation for the complex number;
The square root of -81 yields the imaginary unit, [tex]\(i\)[/tex], multiplied by 9 (as [tex]\(\sqrt{-81} = 9i\)[/tex]).
The value -14 represents the real part of the complex number.
Hence, the precise notation that combines the imaginary and real parts of this complex number is 9i - √14.
Therefore, in a concise and accurate manner, the complex number √-81-14 is best represented as 9i - √14.
Complete question:
Which of the following is the correct notation for the complex number √-81-14
a) 9i - √14 b) √-81 + √-14 c) √-81 - 14i
Is 35 over Pi (35 divided by pi):
Slightly less than 9
Slightly more than 9
Slightly less than 12
OR
Slightly more than 12
Please help and no wrong answers!
35/pi is a calculator question. A standard calculator has pi to about 10 digits stored in it's memory. As an educated guess before doing it (according to the bible is just under 12 since pi is recorded as 3 in Kings I think).
Our calculators record pi as 3.141592654
35/pi = 11.14084602 which is just under 12. <<<<< answer
1
On a spinner: P(3) = ⅜ and p(4) = ⅓ What is the probability of getting 3 or 4?
Answer:
3/8. + 1/3
9/24 +8/24
17/24
(07.06)Number line with open circle on 9 and shading to the left. Which of the following inequalities best represents the graph above? x < 9 x > 9 x ≤ 9 x ≥ 9
Inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.
What is inequality?" Inequality is defined as the algebraic expression which relates the given variables as per the condition with the sign of inequality <,> , ≤, ≥."
According to the question,
Given,
Number on the number line = 07.06
Number on number line with open circle = 9
Inequality shown on the number line drawn we get,
Condition : shaded to the left
Inequality as per the condition: x < 9
Hence, inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.
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The length of a rectangle is 3 m longer then it’s width the area of the rectangle is 154 m^2 what is the width of the rectangle
Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5
You average across 4.6 minutes per customer.
What is average?The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.
Given:
Your last five customer interactions lasted 2,3,6,8 and 4 minutes.
The total number of observation is 5.
The average = the sum of the observations / the number of observations.
The average = (2 + 3 + 4 + 6 + 8)/5
The average = 23/5
The average = 4.6 minutes.
Therefore, 4.6 minutes per customer is the average.
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m∠HGF = 16 x + 4, m∠EGF = 110°, and m∠HGE = 3 x + 11. Find x .
Simplify 5 √180 (show work)
To simplify 5√180, break down 180 into its prime factors, take out the square of the prime factors, and simplify.
Explanation:To simplify 5√180, we can break down 180 into its prime factors which are 2^2 * 3^2 * 5. Then, we can take out the square of the prime factors since we have a square root. This leaves us with 2 * 3 * 5√5. Simplifying further, we get 30√5.
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Find the volume of a right prism with height h=10 cm, if:
The base is a trapezoid with height htr = 3 cm and bases of 2 cm and 5cm
Answer:105cm to the power of three
Step-by-step explanation:
Teo has 4 2/3 pitchers of juice. One glass holds 1/6 of a pitcher. How many glasses can Teo fill?
the sum of three numbers is 161 the second number is six times the first and the third is 5 more than the second find the numbers
a storage container is shaped like a rectangular prism the volume of the container is 1360 cubic feet the area of the base of the container is 160 square feet what is the height of the container
The volume of a prism is given by:
Volume of a prism = base area * height
From the the problem, we have been given volume of the prism = 1360 feet^3
Base area = 160 feet^2
height = x
1360 =160 * x
x = 1360/160 = 8.5 feet
Height of the container = 8.5 feet
The tip of a pendulum moves through an angle of 0.38 rad radians. If the radius of the pendulum is 25 centimeters then which of the following is the length of the arc the tip moves through
Algebra help ASAP :))))
What is the slope of line m?
A.2
B.-2
C.-1/2
D.1/2
Hi there!
Step-by-step explanation:
Lesson: Exploring Slope/ and slope intercept formFirst, you use slope formula.
[tex]SLOPE=\frac{Y^2-Y^1}{X^2-X^1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{(-4)-0=-4}{0-(-2)=0+2=2}=\frac{-4}{2}=\frac{-4/2}{2/2}=\frac{-2}{1}=-2[/tex]
Slope is -2
Answer is -2
*the answer must have a negative sign.*
I hope this helps you!
Thanks!
Have a nice day! :)
-Charlie
:D
If I eaen $500 a year how much do I earn a month?
the average car length is 200 inches. how many feet and inches is the average car
Alternately, the gardener decides to choose the plants in the first row. What is the average number of tomatoes on these plants
Richard and samantha are charting their monthly cash flow. They have some expenses like car repairs and vacations that are not paid each month. How can they account for these non-monthly expenses ?
Final answer:
Richard and Samantha should estimate yearly costs for non-monthly expenses, divide by 12, and save this amount each month, incorporating it as a fixed expense in their budget.
Explanation:
Richard and Samantha can account for non-monthly expenses in their monthly cash flow by setting aside money each month for these irregular expenses. To do this, they should estimate the total cost of these expenses for the year and divide that amount by 12. This will provide the monthly amount they need to save in order to cover costs such as car repairs and vacations without disrupting their budget. Each month, this amount should be treated like a fixed expense and set aside in a savings or separate account, ensuring that funds are available when these expenses occur.
Example:
Car Repairs: Estimated at $600 per year (divide by 12 = $50 per month)
Vacations: Estimated at $1200 per year (divide by 12 = $100 per month)
By including these estimated expenses in their monthly budget, they can create a more accurate and effective budget that accommodates all their financial activities throughout the year.
What is the sum of 74.835 and 2.67
Kiesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 out of 300 clocks tested were not working properly. Kiesha predicts that she will have enough working clocks to please the manager. Which statements are true about Kiesha’s prediction? Check all that apply.
Kiesha’s experimental probability is 1/30
Kiesha will have more than 97% of the products working.
Kiesha will not meet 97% because more than 3% of her clocks will be broken.
Kiesha’s experimental probability is 1/50
When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
Kiesha will have more than 97% of the products working. The experimental probability is 0.98, not 1/30 or 1/50. When the inventory is 4000 clocks, the prediction is that 3880 clocks will work.
Explanation:To determine if Kiesha will have enough working clocks to please the manager, we need to calculate the percentage of clocks that are functioning properly. We know that 6 out of 300 clocks tested were not working, which means 300 - 6 = 294 clocks were working properly. The percentage of working clocks is (294/300) x 100% = 98%. This means that Kiesha will have more than 97% of the products working, so the statement 'Kiesha will have more than 97% of the products working' is true. The statement 'Kiesha’s experimental probability is 1/30' is false because the experimental probability is calculated by dividing the number of successful outcomes (294) by the total number of trials (300), giving 294/300 = 0.98. The statement 'Kiesha will not meet 97% because more than 3% of her clocks will be broken' is false because the percentage of working clocks is 98%. The statement 'Kiesha’s experimental probability is 1/50' is false because the experimental probability is 0.98, not 1/50. When the inventory is 4000 clocks, the prediction is that 97% of the clocks will work, which is (0.97 x 4000) = 3880 clocks.
Kiesha's experimental probability of a clock not working is 1/50, and with 98% of her clocks working properly, she will exceed her manager's 97% requirement. When scaled to an inventory of 4000 clocks, Kiesha can expect 3920 to be functioning correctly.
Explanation:When analyzing Kiesha's prediction about her clocks, we find that if 6 out of 300 clocks are not functioning, then 294 clocks are working properly. To determine if Kiesha will have enough working clocks to please her manager (who requires 97% to be in working order), we calculate the percentage of working clocks:
294/300 = 0.98 or 98%
This is higher than the manager's requirement of 97%. Therefore, the following statements about Kiesha's prediction are true:
Kiesha's experimental probability of a clock not working is 6/300, which reduces to 1/50, not 1/30.Kiesha will have more than 97% of the products working, as 98% are functioning properly.If Kiesha has an inventory of 4000 clocks and the same proportion of nonfunctioning clocks, she would expect 3920 clocks to work, because 98% of 4000 is 3920.Thus Kiesha's prediction that she will meet the quality requirements is accurate.
Find P(A or B) if the events are disjointed. P(A) = P(B) =
P(A) = 11/25
P(B) = 9/25
A. 4/25
B. 3/5
C. 2/25
D. 4/5
Find the volume of a right prism with height h=10 cm, if the base is a trapezoid with height htr = 3 cm and bases of 2 cm and 5cm
We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.
Trapezoid has height 3 cm and bases of 2 cm and 5 cm.
Hence, the area of the trapezoid is given by
[tex]A=\frac{a+b}{2} \times h\\ \\ A=\frac{2+5}{2} \times 3\\ \\ A=\frac{21}{2}[/tex]
Therefore, the volume of the right prism with height h=10 cm is given by
[tex]V=\text{Base area }\times { height}\\ \\ V=\frac{21}{2} \times 10\\ \\ V=105 cm^3[/tex]
Therefore, the volume of the right prism is 105 cubic centimeters.
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3 ft, 6 ft, 9 ft B. 3 ft, 5 ft, 7 ft C. 3 ft, 6 ft, 12 ft D. 3 ft, 9 ft, 27 ft
The google family built a rectangular swimming pool in their backyard.The floor of the pool has an area of 485 5/8 square feet.If the width of the pool is 18 1/2 feet,what is the length of the pool?
Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.
Number of People per Household
1 6 2 4 4 3 5 5 2 8
Calculate the mean absolute deviation of the number of people per household
The mean absolute deviation is 1.6.
Given that the number of People per Household
1 6 2 4 4 3 5 5 2 8
We have to determine the mean absolute deviation
What is the mean deviation?The mean absolute deviation is found by finding the mean, then finding how far each number is to the mean, then finding the mean of that.
The mean is: (1 + 6 + 2 + 4 + 4 + 3 + 5 + 5 + 2 + 8)/10 = 40/10 = 4
The distances of all of the numbers are
(absolute value of the difference between 3.5 and the number)
3,2, 2, 0, 0, 1, 1, 1, 2, 4
The mean of those is: 3+2+2+ 0+ 0+1+1+ 1+ 2+ 4 /10 = 16/10 = 1.6
Therefore the mean absolute deviation is 1.6.
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