Answer: 15 lines of symmetry.
Step-by-step explanation:
There are 15 lines of symmetry does a 15 sided polygon have.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Number of lines of symmetry does a 15 sided polygon have
Since, We know that;
Number or line of symmetry is equal to number of sides of polygon.
Here, Number of side = 15
Hence, There are 15 lines of symmetry does a 15 sided polygon have.
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please help will mark the brainliest
Ruby had a budget of up to $75 dollar to spend. Ruby made a graph of the costs of the items she bought.
Answer:
She has $10 left.
Step-by-step explanation:
There are 13 tags. Every tag is 5$.
13 tags times 5 dollars equals 65 dollars spent.
75 dollars minus 65 dollars spent = 10 dollars left.
Ruby has 10 dollars left.
Ruby is left with 10 dollars. .
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Ruby had a budget of up to $75 dollar to spend.
Total tags=13
Each tag is $5.
So,
Ruby spent on 13 tags
= 13*5
= $65
Thus, Ruby left with
=75 - 65 dollars
= 10 dollars.
Hence, Ruby has 10 dollars left.
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Determine whether the function shown in the graph is even or odd.
Answer:
D. The function is odd because it is symmetric with respect to the origin.
Step-by-step explanation:
We have been given a graph of a function. We are asked to determine whether our given function is odd or even.
We know that a function is even, when it is symmetric with respect to the y-axis.
We also know that a function is odd, when it is symmetric with respect to the origin.
Upon looking at our given graph, we can see that it is symmetric about the origin, therefore, option D is the correct choice.
The function is odd because it is symmetric with respect to the origin.
(Option D)
Further explanationWe will determine whether the function is shown in the graph is even or odd.
Let us recall how to distinguish whether the function graph is included in an even or odd function.
Even Functions
A function f is even if, for each x in its domain, [tex]\boxed{ \ f(-x) = f(x) \ }[/tex].The graph of an even function is symmetric with respect to the y-axis. In order to complete the graph for an even function just imagine the y-axis as a mirror and draw the reflection of each point on the other side.Examples: [tex]\boxed{ \ f(x) = x^2 \ } \boxed{ \ f(x) = 2x^4 - 4 \ } \boxed{ \ f(x) = sin \ x \ for \ -360^0 \leq x \leq 360^0 \ }[/tex]Odd Functions
A function f is odd if, for each x in its domain, [tex]\boxed{ \ f(-x) = -f(x) \ }[/tex].The graph of an odd function is symmetric with respect to the origin.In order to complete the graph for an odd function connect each point with the origin and extend that line to the other side of the origin until we have the same distance.Examples: [tex]\boxed{ \ f(x) = x^3 \ } \boxed{ \ f(x) = 2x^3 - 4x \ } \boxed{ \ f(x) = \frac{x^2 + 1}{2x} \ } \boxed{ \ f(x) = tan \ x \ }[/tex]Generally, the functions that we face are neither even nor odd.
Learn moreWhich table represents a linear function https://brainly.com/question/10570936 The piecewise-defined functions https://brainly.com/question/9590016The functions that inverse of each other https://brainly.com/question/4620451Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
Answer:
If she gives all the earnings to her sister she would still own her $9.30
Step-by-step explanation:
Subtract the $25.63 (sisters' money) fromv $16.33(earnngs from her dad) then you get 9.30
Answer:
$9.30
Step-by-step explanation:
Which is the angle of depression from the lighthouse on the boat ?
Answer:
∠4
Step-by-step explanation:
An angle of depression is measured from the horizontal downwards.
This is ∠4 in the diagram
Answer:
The angle of depression from the light house to the boat is <4
Step-by-step explanation:
From the figure we can see a light house and a boat.
The angle of depression means that angle from the horizontal downward to an object.
From the figure we can see that, <4 is the angle of depression from the light house to the boat.
Therefore the answer is <a
If -2x²+5-8 is multiplied by 4x-9, what is the coefficient of x in the resulting polynomial?
A) -77
B) -45
C) -32
D) -13
Answer:
-77 assuming you meant to write -2x^2+5x-8 instead of -2x^2+5-8
Step-by-step explanation:
You could multiply it out and see...
(-2x^2+5x-8)(4x-9)
(-2x^2)(4x-9)+(5x)(4x-9)+(-8)(4x-9)
-8x^3+18x^2+20x^2-45x-32x+72
-8x^3+38x^2-77x+72
Coefficient of x^3 is -8
Coefficient of x^2 is 38
Coefficient of x is -77
Constant term is 72
PLEASE HELPPPPP!!!!!!!!
Answer:
7x = 2x + r
Step-by-step explanation:
On the left side you have 7 boxes. So let's call those boxes "x" and we have 7x.
On the right side we have 2 of them, 2x, and 1 r.
Putting them together gives you
7x = 2x + r
3|2x-5|>21
BRAINLIEST solve for x
Answer:
(x < -1) ∪ (6 < x)
Step-by-step explanation:
Divide by 3
|2x -5| > 7
"Unfold." That is, put the negative of the constant value on the other side of the absolute value expression, using the same inequality symbol.
-7 > 2x -5 > 7 . . . . . . . . . . this notation is convenient for expressing the two disjoint inequalities, but is not strictly correct because it is not true that -7 > 7.
Add 5, then divide by 2
-2 > 2x > 12
-1 > x > 6 . . . . . . . . . . this should be interpreted as -1 > x OR x > 6. Usually a compound inequality is interpreted as having an AND connector.
The solution is ...
(x < -1) ∪ (6 < x)
_____
The more correct (and less convenient) way to "unfold" the absolute value is to write it as two distinct inequalities:
-7 > 2x -52x -5 > 7Each of these is then separately solved (by adding 5 and dividing by 2) to get ...
-1 > xx > 6A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?
Answer:
186655 geese
Step-by-step explanation:
In this question , the next generation is calculated by multiplying the current generation by 2.2. Let's do a simple math;
1st generation = 3
2nd generation= 3×2.2=6.6
3rd generation=6.6×2.2=14.52
4th generation=14.52×2.2=31.94
5th generation=31.94×2.2=70.28
6th generation= 70.28×2.2=154.61
7th generation=154.62×2.2=340.14
8th generation=340.14×2.2=748.31
9th generation=748.31×2.2=1646.28
10th generation=1646.28×2.2=3621.81
11th generation=3621.81×2.2=7967.98
12th generation=7967.98×2.2=17529.55
13th generation=17529.55×2.2=38565.0
14th generation=38565.0×2.2=84843.02
15th generation=84843.02×2.2=186654.64
=186655 geese
OR
If current generation is calculated as the previous generation multiplied by a factor then you should see that this is an exponential function.In this case
Original number of geese=3
Factor of multiplication is =2.2
Exponential function for first generation is =0
How? see here
[tex]1st=3*2.2^0=3*1=3\\\\2nd=3*2.2^1=3*2.2=6.6\\\\3rd=3*2.2^2=3*4.84=14.52[/tex]
So from the above you can derive an expression for 15th generation
You notice for 1st generation , the exponent is 0
For the 2nd generation the exponent is is 1
For the 3rd generation the exponent is 2
Thus for the nth generation the exponent will be n-1
Your expression for nth generation can now be;
[tex]nth=3*2.2^{n-1}[/tex]
For 15th generation
[tex]15th=3*2.2^{15-1} =3*2.2^{14} =186654.63\\\\\\=186655[/tex]
18. The supplement of an angle of 72° is an angle measuring
A. 144°.
B. 18°.
C. 108°.
D. 288°.
Answer: OPTION C.
Step-by-step explanation:
First, it is important to remember the definition of "Suplementary angles".
By definition, two angles are supplementary if they add up 180 degrees.
Therefore, the measure of the supplement angle of 72 degrees can be found by setting up the following expression:
[tex]x+72\°=180\°[/tex]
Being "x" the measure of the supplement angle of 72 degrees.
Finally, you need to solve for "x":
[tex]x=180\°-72\°\\\\x=108\°[/tex]
This matches with the option C.
Seth worked a summer job at a camp. His salary accumulated all summer and at the end of the
summer he deposited $1890 in a savings account at 3.5 percent interest for 2.5 years. What was the total amount of money in the account at the end of this time?
$2106.25
$2450.00
$2762.50
$2055.38
Answer is D using A = Pe^(rt).
Final answer:
To calculate the total amount of money in Seth's account after 2.5 years with compound interest, use the formula [tex]A = P(1 + r/n)^{(nt)[/tex], applying the given values to find a total of $2106.25 in the account.
Explanation:
To calculate the total amount of money in the account at the end of the 2.5 years with compound interest, we use the formula
[tex]A = P(1 + r/n)^{(nt)[/tex]
where A is the total amount, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time the money is invested for.
For this case, P = $1890, r = 3.5% = 0.035, n = 1, and t = 2.5 years.
Plugging in these values gives [tex]A = $1890(1 + 0.035/1)^{(1\times 2.5)[/tex] = $2106.25.
Therefore, the total amount of money in the account at the end of 2.5 years is $2106.25.
given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)
[tex](f\cdot g)(x)=(9x+1)\cdot x^3=9x^4+x^3[/tex]
A 1-liter bottle of orange juice used to cost $2.85 at food market. Its price has increased; the new price is 110 percent of the original price. What is the new price of the juice? Round your answer to the nearest cent.
Answer:
$3.14
Step-by-step explanation:
Original cost = $2.85
new cost is 110% of original cost
or
new cost is [tex]\frac{110}{100}[/tex] x original cost
= [tex]\frac{110}{100}[/tex] x $2.85
= $3.135
= $3.14 (rounded to nearest cent)
Answer:
D/ 3.14
Step-by-step explanation:
In some? country's Congress, the number of Representatives is 20 less than five times the number of Senators. There are a total of 520 members. Find the number of Senators and the number of Representatives.
Answer:
Senators: 90Representatives: 430Step-by-step explanation:
Let s represent the number of Senators in the Congress. Then the number of Representatives is (5s-20) and the total number of members is ...
s + (5s -20) = 520
6s = 540 . . . . . . . . . add 20, simplify
s = 90 . . . . . . . . . . . divide by 6
The number of Senators is 90; the number of Representatives is 430.
_____
You can find the number of Representatives either as 520 -90 = 430 or as 5·90 -20 = 430.
Solve The Complex Number System
[tex]x^{3}-125=0[/tex]
Show Work Please
[tex]\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2)~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^3-125=0\implies x^3-5^3=0\implies (x-5)(x^2+5x+5^2)=0 \\\\[-0.35em] ~\dotfill\\\\ x-5=0\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula}[/tex]
[tex]\bf \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{+25} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{-5\pm\sqrt{5^2-4(1)(25)}}{2(1)}\implies x=\cfrac{-5\pm\sqrt{25-100}}{2} \\\\\\ x=\cfrac{-5\pm\sqrt{-75}}{2}~~ \begin{cases} 75=&3\cdot 5\cdot 5\\ &3\cdot 5^2 \end{cases}\implies x=\cfrac{-5\pm\sqrt{-3\cdot 5^2}}{2}[/tex]
[tex]\bf x=\cfrac{-5\pm 5\sqrt{-3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1\cdot 3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1}\cdot \sqrt{3}}{2} \\\\\\ x=\cfrac{-5\pm 5i\sqrt{3}}{2}\implies \boxed{x= \begin{cases} \frac{-5+ 5i\sqrt{3}}{2}\\\\ \frac{-5-5i\sqrt{3}}{2} \end{cases}}[/tex]
To solve the complex number equation x^3-125=0, we rearrange to x^3=125 and apply the rule for cube roots in the complex system. This yields three solutions: x = 5, x = 5*omega, and x = 5*omega^2.
Explanation:The given equation is x^{3}-125=0. It belongs to the category of complex number equations within the complex system. We can solve this equation step-by-step by using the cube root of unity in the complex number system.
Firstly, move '125' to the right side of the equation: x^{3}=125. We find that x is the cube root of 125. The solutions to this kind of equation are given by a rule in the complex number system that the cube roots of a number a are given by [a^(1/3), a^(1/3)*omega, a^(1/3)*omega^2], where omega is a cube root of unity and equals -1/2+sqrt(3)i/2 and omega^2=-1/2-sqrt(3)i/2 .
Therefore for x^{3}=125, we get x = 5, 5*omega, and 5*omega^2. These are the solutions in the complex number system.
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Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?a. 4x^2 + 26x + 45 = 0b. 4x^2 + 26x − 3 = 0c. x^2 + 13x − 3 = 0d. x^2 + 13x + 45 = 0
Answer:
[tex]4x^2+26x-3 = 0[/tex]
Step-by-step explanation:
Given that the total area of Frame and Painting is 45 Sq Fts.
Dimensions of painting are 6 feet and 7 feet. Hence.
Let us assume the uniform thickness of frame is x
Hence the Length of frame with painting = 7+2x
and breadth = 6+2x
Area of the frame = length * breadth
[tex]45=(7+2x)(6+2x)\\45=42+14x+12x+4x^2\\45=42+26x+4x^2\\4x^2+26x+42-45\\4x^2+26x-3=0\\[/tex]
Hence option b is correct.
Answer: B) - 4x^2 + 26x − 3 = 0
Step-by-step explanation:
I got it right :)
HELP!!
Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
If polygon MNOPQ is translated 3 units right and 5 units down, it will coincide with a congruent polygon, VWXYZ, with its vertices at
Answer:
Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
Step-by-step explanation:
Part 1:
The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).
The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.
The relation between the vertices of ABCDE and MNOPQ are defined as
[tex](x,y)\rightarrow (-x,y)[/tex]
It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2:
If polygon MNOPQ is translated 3 units right and 5 units down, then
[tex](x,y)\rightarrow (x+3,y-5)[/tex]
[tex]M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)[/tex]
[tex]N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)[/tex]
[tex]O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)[/tex]
[tex]P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)[/tex]
[tex]Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)[/tex]
Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater than 45 square meters, what are the possible values of w, its width, in meters?
Answer:
6,7,8,9,....
Step-by-step explanation:
the minimum width can be 5 because 9 times 5 is 45 the area using the formula length times width but the question is asking greater than 45 and 9 times any number greater than 5 is greater than 45
Answer:
W > 36
Step-by-step explanation:
i got it right on edgeinuity
A bag contains 5 blue marbles, 2 black marbles and 3 red marbles. A marble is randomly draw from the bag, what's the probability of drawing a red marble
Answer:
3/10 or 0.3
Step-by-step explanation:
You have 3 red marbles and 10 marbles in total, so you put how many red marble in the numerator and your total marbles in the denominator.
A student wrote the matrix below to represent the solution to a system of equations.
Which of the following describes the solution?
A. No solution
B. An infinite number of solutions
C. (-2, 0, -1)
D. (5, -2, -1)
Answer:
Option A is correct.
Step-by-step explanation:
The following matrix represent the augmented matrix
In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.
Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix
The given matrix is:
[tex]\left[\begin{array}{cccc}1&0&5&-2\\0&0&3&0\\0&0&0&-1\end{array}\right][/tex]
Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.
As the variables have zero values, there cannot be any solution
So, there is no solution.
So, Option A is correct.
Answer:
A) No solution!
Step-by-step explanation:
Edge 2021 :)
Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3
Step-by-step explanation:
when solving by completing the square you are supposed to do (b/2)^2 and then add that to both sides.
In your example (-8/2)^2=16
You are supposed to add sixteen to both sides not 64
Susu forgot to divide 8 by 2 before she raised it to the to the second powerm that is why she got 64, which is incorrect.
Answer:
Step 2
Step-by-step explanation:
Susu is solving the quadratic equation [tex]4x^2 - 8x - 13 = 0[/tex] by completing the square
To apply completing the square method we need to get x^2 alone
Susu added 13 on both sides . So step 1 is correct
When we factor out 4, we divide both terms by 4
[tex]4(\frac{4x^2}{4} -\frac{8x}{2} )=13[/tex]
[tex]4(x^2-2x)=13[/tex]
Susu forgot to divide 8 by 4
So , error in step 2
Please answer this multiple choice question correctly for 30 points and brainliest!!
Answer:
B Step 2
Step-by-step explanation:
he was suppose to collect the like terms
5x +x = 5x + 1x
collect the like terms by adding their coefficients
(5 + 1)
add the numbers
(5+1)x = 6x
Answer:
A. Step 1
Step-by-step explanation:
The correct result of eliminating parentheses in Step 1 is ...
[tex]\dfrac{5x+10-8+x}{2}[/tex]
Distributing the minus sign in the second term changes the signs of both of the terms in parentheses:
-(8 -x) = -8 +x
Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula? Quadratic formula: x =
Answer:
The answer in the procedure
Step-by-step explanation:
we have
[tex]2=-x+x^{2} -4[/tex]
[tex]x^{2}-x-4-2=0[/tex]
[tex]x^{2}-x-6=0[/tex]
we know that
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2}-x-6=0[/tex]
so
[tex]a=1\\b=-1\\c=-6[/tex]
substitute in the formula
[tex]x=\frac{-(-1)(+/-)\sqrt{(-1)^{2}-4(1)(-6)}} {2(1)}[/tex]
[tex]x=\frac{1(+/-)\sqrt{25}} {2}[/tex]
[tex]x=\frac{1(+/-)5} {2}[/tex]
[tex]x=\frac{1(+)5} {2}=3[/tex]
[tex]x=\frac{1(-)5} {2}=-2[/tex]
A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor? Question 4 options: 37 ft; 22.5 min 30 ft; 0.4 min 45 ft; 37 min 15 ft; 1.1 min
Answer:
1. 30ft
2. 0.4 min
Step-by-step explanation:
In this question, apply sine law which states that sine Ф= opposite/hypotenuse
The general formulae; is SOHCAHTOA where ;
(SOH) sineФ=opposite/hypotenuse ; (COH) cosine Ф= adjacent/hypotenuse and (TOA) tan Ф=opposite/adjacent
In the question the height of the two floors is the " c" and the angel at the base is 60° and distance the conveyor travels is the hypotenuse
Hence;
[tex]Sin 60= \frac{26}{H} \\\\\\H=\frac{26}{Sin60} \\\\\\H=30 ft[/tex]
If 75ft=1min
30ft=?........................simple math
30/75 = 0.4 minutes
Answer:
i) 30 ft
ii) 0.4 min
Step-by-step explanation:
i)
The question will be modeled by a right-angled triangle where-by;
The length of the conveyor belt will represent the Hypotenuse
The vertical distance which is 26 feet high will be the Opposite side to the angle the belt makes the ground which is given as 60 degrees.
The horizontal distance which is the ground will be the Adjacent side to the angle 60 degrees.
Therefore, we have a right angled triangle in which one angle and the length of the opposite side are given. To determine the length of the conveyor belt, the hypotenuse, we use the sine definition of an acute angle;
Remember the mnemonic. SOHCAHTOA
sine 60 = (opposite side)/(hypotenuse)
Hypotenuse = (opposite side)/sin 60
Hypotenuse = 26/sin 60
Hypotenuse = 30.02
The supplies thus travel 30 ft from one end of the conveyor belt to the other.
ii)
The speed of the belt is given as 75 ft/min
The length of the belt has been found to be approximately 30 ft
We are required to determine the time it takes for the supplies to move to the second floor.
Distance, Time and speed are related according to the following equation;
Distance = Time * Speed
Time = Distance/Speed
Time = 30/75
Time = 0.4 min
A triangle has two sides of length 4 and 7 what could the length of the third side be
We can solve this problem using a Pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]
Where a is 7 and b is 4 and c is the hypothenuse we are looking for.
[tex]
c^2=7^2+4^2\Longrightarrow c=\sqrt{49+16}=\boxed{8.06}
[/tex]
The length of the third side is approximately 8.
Hope this helps.
r3t40
A cell phone company charges $10/month plus $0.75 per text message and $1 per minute of talk. Data is unlimited. Cameron send 450 texts messages, has 60 minutes of talk, and uses 2.1 gigs of data. How much is his bill? (4.1)
a. $397.50
b. $407.50
c. More than $500
d. Not enough information
Answer: b. $407.50
Step-by-step explanation:
Multiply 450 by 0.75= 337.5
add 60: 337.5+60=397.5
add 10: 397.5+10= 407.5
Therefore B) is the correct answer
Drag the tiles to the correct boxes to complete the pairs.
The owner of a real estate agency is looking over the monthly commission earned by the top three brokers in the past month. She has calculated the mean and standard deviation, SD, of the their commissions, in dollars, as shown below.
Amanda Benjamin Cathy
Mean = 75,463.12
SD = 3,839.02 Mean = 74,124.87
SD = 4,062.50 Mean = 76,095.71
SD = 4,227.54
Match each broker with the correct description.
Amanda
Benjamin
Cathy
Which broker had the highest average monthly
commission during the past year?
arrowBoth
For which broker does 95% of the data lie
between $67,785.08 and $83,141.16
(2 SD from the mean)?
arrowBoth
For which broker does 68% of the data lie
between $70,062.37 and $78,187.37
(1 SD from the mean)?
arrowBoth
Answer:
highest mean: Cathy2SD limits given: Amanda1 SD limits given: BenjaminStep-by-step explanation:
This problem is essentially one of finding the matching mean. The given means are ...
A: 75,463.12B: 74,124.87C: 76,095.711. It should be no trouble to determine that the largest mean belongs to Cathy.
__
2. The mean is the average of the given 2SD limits, so is ...
(67,785.08 +83,141.16)/2 = 75,463.12 . . . . matches Amanda
Please note that you only need to work with about 3 significant figures:
(67.8 +83.1)/2 = 75.45 . . . . close enough to let you select Amanda
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3. The mean is the average of the given 1SD limits, so is ...
(70.1 +78.2)/2 = 74.15 . . . . matches Benjamin
Answer:
68% of their data lie between $70,062.37 and $78,187.37
(1 SD from the mean) Benjamin
had the highest average monthly commission during the past year Cathy
95% of their data lie between $67,785.08 and $83,141.16
(2 SD from the mean) Amanda
Step-by-step explanation:
I could really use help with this!!!!
Answer:
Hi
Step-by-step explanation:
Please make sure you have posted all the information. i will be glad to help however it doesnt seem that all the instructions aare there
PLEASE HELP ME WITH THIS MATH QUESTION
Answer:
Step-by-step explanation:
1) add the total number of male student
=14
2) divide the number of juniors by the total
2/14 = 1/7 = 0.14285
3)Multiply by 100 to get percentage
0.14285*100=14.285
4)Round
this rounds down to 14%
The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.
Based on this data, what is the reasonable estimate of the probability that the next bed sold is a twin bed?
CHOOSE 1 ANSWER:
A.) 0.20
B.) 0.25
C.) 0.27
D.) 0.40
Answer:
A.) 0.20
Step-by-step explanation:
There were 3+6+4+2 beds sold, or 15 beds sold
There were 3 twin beds sold
P(twin) = number of twin/ total
= 3/15 = 1/5 = .2
Answer:
Option A. 0.20
Step-by-step explanation:
Observations from the given frequency table are :
Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2
= 15
Number of twin beds sold = 3
Then, probability that the next bed sold will be a twin bed,
[tex]P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}[/tex]
[tex]=\frac{3}{15}[/tex]
= 0.20
Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.
Option A. is the correct answer.
Need help asap
Solve using the properties of logarithms:
5^㏒(base x) 7 = 7
(See picture for a written version of the equation.)
Answer:
x = 5
Step-by-step explanation:
Taking logarithms to the base 5, we get ...
[tex]\log_x{7}=\log_5{7}[/tex]
Comparing forms gives x = 5.
Answer:
x=5
Step-by-step explanation: