The mean absolute deviation of the given Dataset is calculated to be approximately; 4.32
How to Calculate Mean Absolute Deviation?We are given the data set; 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4
Let us first find the mean;
x⁻ = (18 + 14 + 0 + 7 + 5 + 7 + 10 + 7 + 6 + 9 + 12 + 3 + 14 + 4 + 11 + 16 + 0 + 10 + 9 + 5 + 0 + 16 + 11 + 2 + 4)/25
Mean; x⁻ = 200/25
x⁻ = 8
Using online Mean absolute deviation calculator, we have;
Mean absolute deviation = 4.32
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Can I pls have help with question 8 and 9
Answer:
2.88 kilometers
Step-by-step explanation:
8. If the round trip took 17/20 of an hour.
How long does it take in minutes?
1 hour=60 minutes
17/20*60
=17*3
=51 minutes
9. Calculate the distance between the supermarket and Hilary's house
Speed=distance/time
Distance=speed × time
Total speed=30km/h+12km/h
=42km/h
Total time=17/20 hour
Time spent for 30km/h=30/42*17/20
=510/840
=0.61h
Time spent for 12km/h=12/42*17/20
=204/840
=0.24h
Supermarket to Hilary's house=12km/h
Distance=speed × time
=12×0.24
=2.88 kilometers
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.
Answer:
20
Step-by-step explanation:
12/5 means roughly 2 cards per week
In 4 weeks he would get 8 additional cards
12+8=20
Hope this help!
pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
-125>-135 divide each side by -5 what is the resulting true inequality
Answer: 25<27
Step-by-step explanation:
-125/-5=25
-135/-5=27
25<27
Answer:
[tex]\boxed{25<27}[/tex]
Step-by-step explanation:
[tex]-125 > -135[/tex]
Dividing both sides by -5
=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]
=> [tex]25 < 27[/tex]
Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?
Answer:
47.13 for 17 melons
Step-by-step explanation:
We can use a ratio to solve
24.95 x dollars
---------------- = ----------------
9 melons 17 melons
Using cross products
24.95 * 17 = 9x
Divide by 9
24.95 * 17/9 = x
47.127777777 = x
Rounding to the nearest cent
47.13 for 17 melons
Answer:
$47.12
Step-by-step explanation:
We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.
Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?
Answer:
As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity
Step-by-step explanation:
Because
The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
What is a polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
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What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
Answer:
x = 0, x = 4, x = -3
Step-by-step explanation:
Factor out the x, which makes it x(x^2-x-12)
Then it will be x(x-4)(x+3)
x = 0
x - 4 = 0, x = 4
x + 3 = 0, x = -3
what is the quadratic equation?
Help pleaseeeeeeeeeeeeee and write it descriptively
Answer:
14) [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)
15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")
16) 5p-2 (same concept as No.15)
17) 7+r ( add 7 with "r")
18) s+7 (same concept with No.18)
19) t-10 (subtract 10 from "t")
20) 10-u ( subtract "u" from 10)
21) 2v ( multiply 2 with v)
22) 2w (same concept as No.21)
23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)
24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)
Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).
The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide, what is its area?
Answer:
Step-by-step explanation:
Area of octagon = area of square - area of 4 triangles that are formed in four corners
Area of square:
Side = Width of the octagon = 10 cm
Area = side * side
= 10 * 10
= 100 cm²
Area of triangle:
Base = 2cm
height = 2 cm
Area =[tex]\frac{1}{2}b*h[/tex]
=[tex]\frac{1}{2}*2*2[/tex]
= 2 cm²
Area of octagon = 100 - 2 = 98 cm²
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
simplify 2^4×2^3/2^5×2^4 leaving your answer in index form
Step-by-step explanation:
[tex]\frac{2^4 * 2^3}{2^5 * 2^4}[/tex] [tex]\frac{2^(4+3)}{2^(5+4)}[/tex] [tex]\frac{2^7}{2^9}[/tex] 2^(7-9) 2^(-2)Answer:
Your correct answer is 64.
Step-by-step explanation:
2^4 × 2^3/2^5 × 2^4 = 64
What is the area of the obtuse triangle below?
다
the graph of y=f(x) is shown on the grid
Answer:
look below
Step-by-step explanation:
The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).
What is a function?A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.
We know when we rotate a function along the y-axis sign of x changes.
Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)
and if the given function is odd f(-x) becomes -f(x).
Also given that the maximum point of f(x) = (3, 4).
∴ Function g(x) will have maximum at coordinates (-3, 4).
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Please help me with the question below
Answer: In the top box: S ≥ 2000 - (S + 178)
S ≥ 2000 - A A = S + 178 substituted for A in the first equation
The solution is S ≥ 911 and A ≥ 1089
Step-by-step explanation:
S ≥ 2000 - (S + 178)
S ≥ 2000 - S -178 Add S to both sides,
S + S ≥ 2000 -178
2S ≥ 1822
S ≥ 911 so A ≥ 911 + 178 A≥ 1089 (but the question shown doesn't ask that)
This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.
2 Points
What are the zeros of f(x) = (x - 1)(x+6)? Select all that apply.
O A. x= 1
O B. x = 6
C. x= -6
D. x= -1
SUBE
The zeroes of f(x) are x = 1 or x = -6
What are zeroes of a function?Zeroes of a function are the values of that function that makes the function equal to zero.
Analysis:
For f(x0 = (x-1)(x+6) to have zeroes, then f(x) = 0
0 = (x-1)(x+6)
x-1 = 0 or x + 6 = 0
x = 1 or x = -6
In conclusion, the zeroes of the function f(x) = (x-1)(x+6) are 1 or -6
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Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
the graph of an exponential function f of x equals two and two tenths to the power of x minus 7 tenths and a quadratic function g of x equals one eighth times x squared plus 2 times x plus 8
Answer:
(4.462, 19.411)
Step-by-step explanation:
From the description, the functions are:
f(x) = (11/5)^(x - 7/10)
g(x) = 1/8x² + 2x + 8
(Notice that 2 2/10 is equivalent to 22/10 = 11/5)
In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)
It's B (3.5, 17)
I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.
14. Mike is riding his bike at 15 miles per
hour. (1.2)
a. What is his speed in feet per second?
(Use 5280 feet in each mile)
b. If John is riding at 25 feet per second,
who is riding faster, explain how you
know?
I
Answer:
a) 1320 feet
b) John
Step-by-step explanation:
a) 15/60 miles per minute = 1/4 mile per minute
1/4*5280= 1320 foot per min
------------------------------------------------------
25 feet per sec---------> 60*25 feet per min = 1500 feet per min
so john is faster
Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5
Answer:
i think it's 100
Step-by-step explanation:
100 is the interval which would not be used for the stems of a stem-and-leaf plot.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.
The stem represents the largest common place value of the numbers being plotted.
If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.
The stem values would be 1, 2, 3, and 4.
Therefore, the interval for the stems should be determined by the range of the data set.
Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.
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which best describes the main source of energy in the united states
Answer: B) Culture B
Step-by-step explanation:
As culture B doubles every hour you would have over 2.6 million by hour 18, far, far more than culture A, which increases by 1.5x each hour, that would only become 1.4 million.
Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up
Answer:
75
Step-by-step explanation:
200 ÷ 8 = 25
25 x 3 = 75
The number of times 2 coins will turn heads up is 75, the correct option is D.
What is Probability?Probability is the measure of the likeliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.
When 3 coins are flipped, there is two probabilities,
The probability of getting a head or a tail is 1/2.
The probability that there will be 2 coins that will turn up heads is 3/8
Probability is defined as the ratio of favorable outcomes to total outcomes.
If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,
= (3/8) * 200
= 75
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Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond?
Answer:
The predicted number of catfish in the pond is 57.
Step-by-step explanation:
We are given that the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7/20 = x/200.
We have to calculate the predicted number of catfish in the pond.
The given proportion to us is;
[tex]\frac{5.7}{20}=\frac{x}{200}[/tex]
Cross multiplying both the fractions we get;
[tex]5.7 \times 200=x \times 20[/tex]
[tex]\frac{57}{10} \times 200=x \times 20[/tex]
[tex]{57} \times 20=x \times 20[/tex]
[tex]x = \frac{57 \times 20}{20}[/tex]
[tex]x = 57[/tex]
So, the predicted number of catfish in the pond is 57.
Answer:
57
Step-by-step explanation:
Big brain.
Which statement about this figure is true?
I'd have to say it Has Reflectional Symmetry.
The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize.
Answer:
20 people
Step-by-step explanation:
In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05
1. Multiply 400 by 5% (0.05)
400 · 0.05 = 20 people
Answer:
20 people will win
Step-by-step explanation:
i used a notes and google to answer this :)
I need help ASAP will give you brainlynest (however you spell it)
Answer:
35.69 deg
Step-by-step explanation:
Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1
Answer:
x = 1.125
Step-by-step explanation:
6x – 5 = (2/3)x + 1
6x - (2/3)x = 1 + 5
(16/3)x = 6
x = 9/8
x = 1.125
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
[tex]y=-4x+5[/tex]
Step-by-step explanation:
Parallel lines have the same slope, but different y-intecpets. They are lines that travel in the same directions but never intercept.
Answer:
-4
Step-by-step explanation:
Parallel lines have the same slope. So if one line had a slope of -4, the other line would too.
Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40
Answer:
Hello!
~~~~~~~~~~~~~~~~~~~~~
Your answer would be (D) 25–40
Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.
Thus, (D) is the correct answer.
Answer:
Its D
Step-by-step explanation:
for all the ppl who don't care how they got it
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8
Answer:
A. 3
Step-by-step explanation:
Let the integers be
x
(x+1)
(x+2)
(x+3)
Sum the integers
We have,
x+(x+1)+(x+2)+(x+3)=18
x+x+1+x+2+x+3=18
4x+6=18
Subtract 6 from both sides
4x-6=18-6
4x=12
Divide both sides by 4
4x/4=12/4
x=3
The smallest integer which is x is equal to 3
Check:
3+4+5+6=18