The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
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1.7 Basil Yamey is setting up a new business. Before selling anything, he bought a van for £9,000; a
transportable market stall for £1,800; a computer for £280; and an inventory of goods for £11,200. Fie
did not pay in full for his inventory of goods and still owes £5,000 for them. Fie borrowed £8,000 from
Luca Pacioli. After the eventsjust described, and before trading starts, he has £900 cash in hand and
£6,300 in the bank. Calculate the amount of his capital.
Answer:
the amount of Basil Yamey's capital is £16,480.
Step-by-step explanation:
To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.
The value of his assets is:
Van: £9,000
Market stall: £1,800
Computer: £280
Inventory of goods: £11,200
Cash in hand: £900
Money in the bank: £6,300
Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480
His liabilities are:
Amount still owed for inventory of goods: £5,000
Amount borrowed from Luca Pacioli: £8,000
Total liabilities = £5,000 + £8,000 = £13,000
Therefore, Basil Yamey's capital is:
Capital = Total value of assets - Total liabilities
Capital = £29,480 - £13,000 = £16,480
So the amount of Basil Yamey's capital is £16,480.
Answer:
Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.
The cost of the assets that Basil has purchased is:
£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280
He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:
£21,280 - £5,000 = £16,280
He borrowed £8,000, so the total amount of his capital is:
£16,280 + £8,000 = £24,280
He also has cash on hand and in the bank:
£900 (cash) + £6,300 (bank balance) = £7,200
So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.
find differentiation
\(f(x) = \frac{3}{ {x}^{2} + 2 } \)
Consider a triangle ABC like the one below. Suppose that A=57°, C=73°, and b = 13. (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
By using triangle properties and the law of the sines twice, we find that the missing angle is 50° and the missing lengths are 14.232 and 16.229, respectively.
How to determine the missing variables of a triangle
In this triangle we know the length of a side (b = 13) and the measure of two adjacent angles (A = 57°, C = 73°). First, we determine the measure of the missing angle by using triangles properties:
B = 180° - 57° - 73°
B = 50°
Lastly, we determine the missing lengths by the law of the sines:
\(a = 13 \times \frac{\sin 57^{\circ}}{\sin 50^{\circ}}\)
a ≈ 14.232
\(c = 13 \times \frac{\sin 73^{\circ}}{\sin 50^{\circ}}\)
c ≈ 16.229
By using triangle properties and the law of the sines twice, we find that the missing angle is 50° and the missing lengths are 14.232 and 16.229, respectively.
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Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.
3(x-k)/w =4
When
is solved for x in terms of w and k 1. 4/3w+k 2. k-3w/4. 3. K-4/3w 4. 4/3+w-k
Solve 1
If correct will mark brainliest
Answer:
anws: 2×a+b= 3.13
Step-by-step explanation:
that's was the factors
6 3/7 + 7 5/7 as a mixed number in simplest form
Answer: 14 1/7
Step-by-step explanation:
Allen lends $100 for 5 years every year at the interest rate of 5%.
a: Find future value using the annuity formula at the end of 5 years.
b: confirm the solution by year by year computation.
The total amount at the end of Year 5 is on interest rate of 5% is $525
The future value of an annuity can be calculated using the formula:
Future Value = P × [(1 + r)^n - 1] / r
Where:
P = Principal amount (the initial investment)
r = Interest rate per period
n = Number of periods
In this case, Allen lends $100 every year for 5 years at an interest rate of 5%. Therefore, the values for this formula are:
P = $100
r = 5% = 0.05 (decimal form)
n = 5
Substituting these values into the formula, we get:
Future Value = $100 × [(1 + 0.05)^5 - 1] / 0.05
Calculating this equation, the future value is approximately $127.63.
To confirm the solution, let's compute the future value year by year:
Year 1:
Principal amount = $100
Interest earned = $100 × 0.05 = $5
Total amount at the end of Year 1 = Principal amount + Interest earned = $100 + $5 = $105
Year 2:
Principal amount = $100
Interest earned = $100 × 0.05 = $5
Total amount at the end of Year 2 = Principal amount + Interest earned + Total amount at the end of Year 1 = $100 + $5 + $105 = $210
Year 3:
Principal amount = $100
Interest earned = $100 × 0.05 = $5
Total amount at the end of Year 3 = Principal amount + Interest earned + Total amount at the end of Year 2 = $100 + $5 + $210 = $315
Year 4:
Principal amount = $100
Interest earned = $100 × 0.05 = $5
Total amount at the end of Year 4 = Principal amount + Interest earned + Total amount at the end of Year 3 = $100 + $5 + $315 = $420
Year 5:
Principal amount = $100
Interest earned = $100 × 0.05 = $5
Total amount at the end of Year 5 = Principal amount + Interest earned + Total amount at the end of Year 4 = $100 + $5 + $420 = $525
As we can see, the total amount at the end of Year 5 is indeed $525, which confirms the previous calculation using the annuity formula.
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What is the distance between (3, 5.25) and (3, –8.75)?
Answer:
The answer is
14 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3, 5.25) and (3, –8.75)
The distance between them is
\(d = \sqrt{ ({3 - 3})^{2} + ({5.25 + 8.75})^{2} } \\ = \sqrt{ {0}^{2} + {14}^{2} } \\ = \sqrt{196} \: \: \: \: \: \: \: \: \: \: \\ = 14 \: \: \: \: \: \: \)
We have the final answer as
14 unitsHope this helps you
Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?
Joshua after all his spending has $7.75 at the end of the month
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.
So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,
= $(20.50 + 7.50 + 3.75).
= $31.75
Now, we'll subtract all his spending,
= $(31.75 - 5.25 18.75).
= $7.75.
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9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Question 2
The value of an investment doubled in 15 years. What was the annual rate of return?
Answer using the digits only. Round answer to the nearest tenth.
Question 3
The value of an investment grew from $800 to $1600 in 8 years. What was the annual rate of return?
Answer with the number only.
Question 4
The value of an investment grew from $100,000 to $200,000 in 20 years. What was the annual rate of return?
Answer with the number only.
Question 5
You invest $500,000 into a mutual fund that is expected to earn 6.95% per year. How long will it take the fund to be worth one million dollars?
Answer with the number of years only, round to the nearest whole number.
The formula that can be used to determine the annual rate of return is:
g = (Future value / present value)^(1 / number of years) - 1
2^(1/15) - 1 = 4.7%
(1600 / 800) ^(1/8) - 1 = 9%
(200,00 / 100,000)^(1/20) - 1 = 3.52%
Number of years = (In FV / PV) / r
Where:
FV = future valuePV = present valuer = interest rateIN2 / 0.0695 = 9.97 years
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Turn -8 1/2 into an improper fraction. Explain your steps
Answer:
-17/2
Step-by-step explanation:
This is the answer because:
1) The formula of turning mixed fractions into improper fractions is:
Denominator x Whole Number + Numerator
2) 2 x -8 = -16, -16 + -1 = -17
Hope this helps!
Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.
Answer:
Ig its 22:3
Step-by-step explanation:
First we add all the gifts and put it in the ratio and the other is 3 dvds
Julian belongs to a club that is marching in a parade. Each member of the club needs to wear one of the hats listed in the table below.
PARADE HATS
Straw Hat
25 red
20 white
40 blue
Cowboy Hat
30 red
25 white
10 blue
Julian chooses the first hat at random from all the hats. What is the probability the hat Julian chooses is blue? Show your work or explain your answer.
The probability Julian chooses a blue hat is 1/3.
What is the probability Julian chooses a blue hat?Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.
Total hat is:
= 25+20+40+30+25+1
= 150.
There are a total of 150 hats to choose from.
The number of blue hats to choose from is:
= 40 + 10
= 50.
The probability that Julian chooses a blue hat is:
= 50/150
= 1/3
= 0.33 or 33.33%.
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A computer costs £968. A tax of 16.5% is then added to the cost of the computer. Work out the amount of tax that is added to the cost of the computer.
The amount of tax that is added to the cost of the computer is 159.72
How to determine the amount of tax that is added to the cost of the computer.From the question, we have the following parameters that can be used in our computation:
Computer cost = 968
Tax percentage = 16.5%
Using the above as a guide, we have the following:
Tax amount = Computer cost * Tax percentage
substitute the known values in the above equation, so, we have the following representation
Tax amount = 968 * 16.5%
Evaluate
Tax amount = 159.72
Hence, the amount of tax that is added to the cost of the computer is 159.72
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ALOT OF POINTS EAZY !!!!
Answer: The order is
29, 36, 42, 49, 52, 59
Step-by-step explanation: I hope this is what you were looking for let me know if you need a better answer
Mean- 42.2
Median- 45.5
Mode- 29
Midrange- ??
Range- 29
Minimum- 29
Maximum- 57
Sum- 422
Hope this helped! have a great day! :D
A committee of three men and two women can be formed from a group of nine men and eleven women in how many different ways.
Answer:
4620.
Step-by-step explanation:
The number of combinations of 3 men from 9
= 9!/(9-3)!3!
= 9*8*7/3*2*1
= 84 ways.
The number of combinations of 2 women from 11
= 11!/11-2)!2!
= 11*10/2*1
= 55 ways.
So the total number of ways of men and women in the committee
= 84*55
= 4620.
In one of its Spring catalogs, L.L. Bean® advertised footwear on 28 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once. Part (a) In words, define the random variable X. the number of pages in the catalog the number of pages we must survey until we find one that advertises footwear the number of pages that advertise footwear the number of footwear styles the number of times a page could be picked Part (b) List the values that X may take on. X = 0, 1, 2, ..., 192 X = 1, 2, ..., 28 X = 1, 2, ..., 20 X = 0, 1, 2, ..., 20 X = 0, 1, 2, ..., 28 Part (c) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X ~ ? , Part (d) How many pages do you expect to advertise footwear on them? (Round your answer to the nearest whole number.) 3 Part (e) Is it probable that all twenty will advertise footwear on them? Why or why not? (Round your answer to two decimal places.) No , because the probability that all twenty will advertise footwear is . Part (f) What is the probability that fewer than eight will advertise footwear on them? (Round your answer to four decimal places.) Part (g) Reminder: A page may be picked more than once. We are interested in the number of pages that we must randomly survey until we find one that has footwear advertised on it. Define the random variable X. the number of pages in the catalog the number of pages we must survey until we find one that advertises footwear the number of pages that advertise footwear the number of footwear styles the number of times a page could be picked Give its distribution. (Enter an exact number as an integer, fraction, or decimal.) X ~ ? Part (h) What is the probability that you only need to survey at most five pages in order to find one that advertises footwear on it? (Round your answer to four decimal places.) Part (i) How many pages do you expect to need to survey in order to find one th
Keshawn thinks that the graph of a function f(x) and its inverse f -1 (x) will always intersect. Give a counterexample to disprove his statement
30. Which of these sentences uses active voice?
The winning homerun was hit by the worst player on the baseball
team.
My friend invited his whole class to Saturday's soccer championship.
The children were taken to the circus by their doting grandfather.
At noon, some cookies were going to be baked by the baker.
The option that represents the active voice is:
B: My friend invited his whole class to Saturday's soccer championship.
What is the difference between active and passive voice?The active voice is one that asserts that the person or thing represented by the grammatical subject performs the action represented by the verb. The passive voice is one that makes the subject the person or thing acted on or affected by the action represented by the verb.
Looking at the given options and applying the definitions above, we can see that options A, C and D are passive voice because the subject is the recipient of the action.
Thus, the statement "My friend invited his whole class to Saturday's soccer championship." represents the active voice.
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work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
6(n+4)=-18
Please please help me
Answer:
-1
Step-by-step explanation:
-7+4= -3
-3*6= -18
N= -7
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( ゚д゚)つ Bye
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The point C (-3,-1) is rotated 180 clockwise around the origin.
What are the coordinates of the resulting point, C'?
Answer: \((3,1)\)
Step-by-step explanation:
Given
The point C \((-3,-1)\) is rotated \(180^{\circ}\) clockwise about the origin
If a point is rotated \(180^{\circ}\) about the origin, then the sign of the co-ordinates changes without changing the order of coordinates.
So,C \((-3,-1)\) becomes C' \((3,1)\) after the rotation.
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?
Answer: 13 \(\frac{65}{72}\)
Step-by-step explanation:
This question is asking us to find the total flour used, so we will add the two amounts together.
5 1/8 + 8 7/9
-
5 + 8 = 13
1/8 + 7/9 = 9/72 + 56/72 = 65/72
-
13 + 65/72 = 13 \(\frac{65}{72}\)
The recipe calls for 13 \(\frac{65}{72}\) cups of flour.
What is the probability
The answer is yes but not if so
Original price of a chair $150 Discount : 15% what is the selling price
Answer: $127.50
Step-by-step explanation: if we pull up our handy dandy calculator and do 15% of 150 it will output 22.50, 150 - 22 = 127.50 which brings the total to $127.50
Find the onginal price
Discount 20%
Sale price $75
Answer:
Original price: $
75
Discount percentage:
20
%
Results
Discount:
$15.00
Final Price:
$60.00
Step-by-step explanation: