The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].
When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.
The given fraction is:
[tex]3\dfrac{1}{9}[/tex]
To convert this fraction into an improper fraction,
Multiply 3 with 9 then add it to the numerator,
[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]
Therefore,
[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]
Hence,
The improper fraction of [tex]3\dfrac{1}{9}[/tex] is [tex]\dfrac{28}{9}[/tex].
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please please please help
find the median
72 82 92 93 94 97 98 102
find the median
53 59 64 65 65 66 67 69
find the mean absolute deviation (MAD)
72
82
93
98
102
97
92
94
find the mean absolute deviation (MAD)
53 59 64 65 65 66 67 69
Answer:
median = 93.5
median = 65
MAD = 7.125
MAD = 3.75
Step-by-step explanation:
The median is the middle value when the values of the data set are placed in order from smallest to largest.
Data set: 72 82 92 93 94 97 98 102
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{93+94}{2}=93.5[/tex]
Data set: 53 59 64 65 65 66 67 69
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{65+65}{2}=65[/tex]
To find the Mean Absolute Deviation (MAD):
1. calculate the mean (by summing the data values and dividing by the number of values)
2. Subtract the mean from each value in the data set and take the absolute value of each result.
3. Sum the absolute values from step 2.
4. Divide by the number of values.
Data set: 72, 82, 93, 98, 102, 97, 92, 94
[tex]\sf Mean=\dfrac{72+82+93+98+102+97+92+94}{8}=91.25[/tex]
|72 - 91.25| = 19.25
|82 - 91.25| = 9.25
|93 - 91.25| = 1.75
|98 - 91.25| = 6.75
|102 - 91.25| = 10.75
|97 - 91.25| = 5.75
|92 - 91.25| = 0.75
|94 - 91.25| = 2.75
Sum of absolute values = 57
[tex]\sf MAD=\dfrac{57}{8}=7.125[/tex]
Data set: 53 59 64 65 65 66 67 69
[tex]\sf Mean=\dfrac{53 +59+ 64+ 65+ 65+ 66+ 67+ 69}{8}=63.5[/tex]
|53 - 63.5| = 10.5
|59 - 63.5| = 4.5
|64 - 63.5| = 0.5
|65 - 63.5| = 1.5
|65 - 63.5| = 1.5
|66 - 63.5| = 2.5
|67 - 63.5| = 3.5
|69 - 63.5| = 5.5
Sum of absolute values = 30
[tex]\sf MAD=\dfrac{30}{8}=3.75[/tex]
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)
Answer:
a
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkkkkk
Answer:
a. h(x)=(x+2) (x-3) (x+4)
Step-by-step explanation:
The zeros of the function are -2, 3 and -4:
(x=-2) (x=3) (x=-4)
(x+2) (x-3) (x+4)
Tino and Ramona are planning to go to Washington, D. C. for 4 days. The travel options are shown below. Which travel option is the most expensive?
Answer:
54 grams
Step-by-step explanation:
To hard to explain.
Answer: A
Step-by-step explanation: I am a big brain pro
Is 35.336 an irrational number?
yes or no
Answer:
No
Step-by-step explanation:
Hello, 35.336 is would not be an irrational number because irrational numbers are messy numbers that go on forever like 3.14159..... A rational number is a number with clean numbers like 1.222222....., 35.336, ect. I hope this helped you!
Help me find the value of x plss
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
What do we see in triangle -- adj and hyp
cosine since it is SOH CAH TOA
cos(14)/1 =x/480
Answer = 465.74 the real rounding is 466
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
x=17
Step-by-step explanation:
The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.
Hope this helps!
BTS!!
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate interior angles.
If two lines are cut by a transversal, then the alternate interior angles are congruent.
75 = 4x + 7
=> 4x = 68
=> x = 17
Graph the line passing through (4, -1) whose slope is m = 4/3
9514 1404 393
Answer:
graph is attached
Step-by-step explanation:
With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.
The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.
NO LINKS OR WILL BE REPORTED
The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
whats the opposite of l3l
Answer:
-131
Step-by-step explanation:
You should add the minus sign before the number 131
1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous
Answer:
1. C
2.B
Step-by-step explanation:
Force is a push or a pull.. can be a twist too
to make an object move you have to apply force by pushing of pulling the object.
Find the value of x. 7+8x+45+80
Answer:
=8x+132
Step-by-step explanation:
Combine Like Terms:
=7+8x+45+80
=(8x)+(7+45+80)
=8x+132
Give me brainllest plz T-T
IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
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Which is greater, (1/2)⁴² or (1/2)⁴⁵? Why?
Answer:
1/2^42 because the 45 will be dividing it b half 3 more times
Step-by-step explanation:
Question: Edwin usually makes 20 cookies with this recipe, but only wants 5 cookies.
How much is 1/2 teaspoon of vanilla to make 5 cookies?
(PLEASE HELP!!)
Answer:
1/8 teaspoon of vanilla is needed to make 5 cookies
Step-by-step explanation:
1) 1/2 teaspoon of vanilla makes 20 cookies
2) you only need 5 cookies which is 1/4 as many cookies as before
3) you must 1/4 your recipe
4) 1/2 divided by 4 = 1/8
A store pays $35 for a fish tank. The markup is 20%. What is the selling price?
A ribbon is 24 inches long. You need to cut it into pieces so that all the pieces are the same length. a. Can you cut the ribbon into 5-inch pieces?
Answer:
no
Step-by-step explanation:
no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length
my sister is 12 years older than i am. the sum of our ages is 38. find our ages.
Answer:
you are 13 and she is 25
Step-by-step explanation:
Math
Helpppppppppppppppppppp
Answer:
192.5 m²
Step-by-step explanation:
The formula for calculating the area if a circle
= πr²
Find the area of the larger circle first, then subtract the area of the smaller circle.
The area of the larger circle
= π×(21÷2)²
= 346.4 m² (rounded to the nearest tenth)
The radius of the smaller circle
= 21÷2 - 3.5
= 7 m
The area of the smaller circle
= π×7²
= 153.9 m² (rounded to the nearest tenth)
The area of the shaded region
= 346.4 - 153.9
= 192.5 m²
What is my answer the missing numbers
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
Helpppppp pleaseeeeeeee
Answer:
16 2/3
Step-by-step explanation:
If f(x) = x - 1 and g(x) = x3, what is (gºf)(8)?
Answer:
343
Step-by-step explanation:
f(x) = x - 1 and g(x) = x^3
g(f(8))
First find f(8) = f(8-1) = 7
Then find g(7) = 7^3 = 343
g(f(8) = 343
Answer:
I will assume that you meant to type (g o f)(8).
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
(g o f)(8) = 343:
An investor wants to invest up to $100,000 as follows:
X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.
However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.
Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.
Answer:
a-The Linear Model is as follows:
[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]
b-The values are
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c-The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Step-by-step explanation:
a
From the conditions, the first special constraint is the total amount which is that the sum of investments must not be more than the total available amount of $100,000 so
[tex]X+Y+Z\leq 100,000[/tex]
The second special constraint is that the percentage of X must be at least 20% So
[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]
The third special constraint is that the fraction of total investment of Z must not exceed 50% So
[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]
The fourth special constraint is that the combined portfolio risk index must not exceed 5 so
[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]
As the investments cannot be negative so three basic constraints are
[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]
The maximization function is given as
[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]
b
By using an LP solver with BigM method the solution is as follows:
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c
The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Would greatly appreciate the help with both A and B
A 12 foot ladder leans against a building and reaches a window 10 feet above ground. What is the measure of the angle, to the nearest degree, that the ladder forms with the ground ?
Answer:
56
Step-by-step explanation:
Sinx = 10/12
x = 56
I need help with this
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Answer:
x = 32y = 51Step-by-step explanation:
Angle U = angle N = 180° -142° -24° = 14°
The expression for angle U tells us the value of x.
2x -50 = 14
x -25 = 7 . . . . . divide by 2
x = 32 . . . . . . . .add 25
__
The measure of side SU is the same as that for side PN.
13 = (2x -y)
y = 2x -13 = 2(32) -13 . . . . solve for y, substitute for x
y = 51
one sixth of a number?
Four adults and five children go to see a movie and buy $15 worth of concessions. The total cost of their trip is $71. If each child's ticket is $5, how much are the adult tickets
Answer:
$7.75
Step-by-step explanation:
Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5
To find: How much the adult tickets are
Solution: Use the 5 tickets at $5 to get $25
Add the $15 for concessions to reach $40
25 + 15 = 40
Subtract $40 from the 71 spent to get $31
71 - 40 = 31
Now, divide the 31 by 4 for the number of adults which equals $7.75
31 ÷ 4 = 7.75
So, the cost of the adults' tickets is $7.75
Y(2.5+7)+y-2
10.5y-2
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest