The median of books to a box is 9 and The mean of books to a box is 11
The complete question is
Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15
Which statement is true about the number of boxes packed to a box?
A) The median # of books to a box is 8
B) The median # of books to a box is 9
C) The mean # of books to a box is 11
D) The mean # of books to a box is 12
What is Mean and Median ?Mean is the average of the data given while the median is the middle point of the data.
It is given that
The data is
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
The mean is
(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11
and the median is 9
Therefore Option B and C is the correct answer.
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Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Translation Reflection Rotation
(The pictures of the graphs are in the file attached, please look at them to know which ones are for which option.
Is 200 a term in the sequence 4, 10, 16, 22,
Answer:
Step-by-step explanation:
are these right tell me yes or no
Answer:
Question 4: letter c
Question 3: letter c
Step-by-step explanation:
which statement is true about the function?
The correct answer is option D which is the function is even because of its symmetry about the y-axis.
What is even function?The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.
Given function:-
f(x) = 3x⁴+2x²
Now put the value x = -x in the function
f(-x) = 3( -x⁴)+2(-x²)
f(-x) = 3x⁴ + 2x²
f(-x) = f(x)
here we can see that when we put the value of negative x the function remains unchanged.
Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.
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What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f( 1 3 x) + 6? A) stretched horizontally and shifted up B) stretched vertically and shifted right C) compressed vertically and shifted left Eliminate D) compressed horizontally and shifted down
Answer:
A
Step-by-step explanation:
f(x) = x²
f(x) becomes f(13x) + 6
the "+ 6" at the end tells us already everything, because there is only one aber option listed that contains a shift up. and that is exactly what that "+ 6" did. it adds 6 to every possible y value of the function. so, the whole function moves up by 6 units.
and yes, the 13x of f(13x) stretches the function horizontally (along the x axis).
simply said, whenever the x value for the original function increased by 1, it increases for the new function by 13.
\How could Brent use a rectangle to model the factors of x2 – 7x + 6?
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
Option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have a quadratic expression to model the area of the rectangle:
= x² – 7x + 6
[tex]\rm =\left(x^2-x\right)+\left(-6x+6\right)[/tex]
[tex]=\rm x\left(x-1\right)-6\left(x-1\right)[/tex]
= (x - 1)(x - 6)
Thus, option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.
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46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.
Answer:
1/3×22/7×r^2h
Step-by-step explanation:
the volume =1/3 ×22/7×r^2×13.5
Which table represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 8, 18. Column 2 is labeled y with entries 6, 12, 26. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 20, 60. Column 2 is labeled y with entries 7, 28, 84. A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 26. Column 2 is labeled y with entries 5, 7, 9. A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 9, 15. Column 2 is labeled y with entries 2, 8, 14.
Answer:
X Y
5 7
20 28
60 84
This table shows the proportional relationship.
Step-by-step explanation:
The equivalent ratios of two variables known as proportional relationship.
Table 1: X Y Table 3: X Y
4 6 12 5
8 12 18 7
18 26 26 9
Ratio = 4:6 = 8:12 ≠ 18:26 Ratio = 12:5 ≠ 18:7 ≠ 26:9
Table 2: X Y Table 4: X Y
5 7 3 2
20 28 9 8
60 84 15 14
Ratio = 5:7 =20:28=60:84 Ratio = 3:2 ≠ 9:8 ≠ 15:14
Here we see table 2 shows the proportional relationship.
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Given right triangle QRS, what is the value of sin(30°)?
Answer:
1/2
Step-by-step explanation:
(Is this the question? In the pic above)
Sin of an angle os the side opposite over it divided by the hypotenuse.
Sin = opposite/hypotenuse
Sin = 5/10
Sin = 1/2
I need this equation solved
Answer:
28
Step-by-step explanation:
similar triangles are proportional
and add all the sides of the bigger triangle
Find the area of the kite. ) 210m ^ 2 ) 140m ^ 2; 420m ^ 2; 224m ^ 2
Answer:
from the image above
Triangle ABE = Triangle ADE
AE = AE ( common).
angle AEB = angle AEO ( each 90°)
AB = AD ( given).
by side angle side criteria
so area of ABE = area of ADE
similarly,
BC = DC ( given)
BEC = DEC ( 90°)
EC = EC ( 9m each)
so area of BEC = Area of DEC
Area of Kite = 210 m²ANSWER FAST PLEASE!!!
Which of the following systems of inequalities would produce the region
indicated on the graph below?
+11
10
Jadosak
-1
2 3
15
6
7
8 9
A. v2x+1; y210; x ≥ 0
B. v2x+1; y<10; x ≥ 0
O c. v
OD. V > x+1; y≤ 10; x ≥ 0
Answer: D
Step-by-step explanation:
We know that the line [tex]y=10[/tex] is shaded below, so it represents [tex]y \leq 10[/tex].
Similarly, the line [tex]y=x+1[/tex] is shaded above, so it represents [tex]y > x+1[/tex].
Which expression is equivalent to 4 √10 ?
(૧/x
0 x ²
022
○ +³² (+ √/x)
0 +5
6x9(7-3)4+3x36+3
what is the answer
The given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
The given expression is [tex]6x^{9} (7-3).4+3x^{36} +3[/tex].
We need to simplify the given expression.
What is an algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
First, multiply the numbers 6×4=24.
That is, [tex]24x^{9} (7-3)+3x^{36} +3[/tex].
Next, subtract the numbers 7-3=4.
[tex]24x^{9}.4+3x^{36} +3[/tex]
Finally, multiply the numbers 24×4=96.
[tex]96x^{9}+3x^{36} +3[/tex].
Hence, the given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
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most everyday purchases at the store are labeled with the piece of the item before sales tax. Which expression could be used to find the amount of tax
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
The complete question is
Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could be used to find the amount of tax? Amount of Tax = Original Price + Total Cost Amount of Tax = (Total Cost)(Original Price) Amount of Tax = (Original Cost)(Tax %) Amount of Tax = (Total Cost)(Tax %)
What is Tax ?Tax is the % of the amount taken by the government on the sales or income of a person , There are many kinds of taxes imposed on various sectors.
The amount of tax is taken on the cost of the product ans thus can be represented by
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
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what is equivalent to 7/5y
Answer:
1.4y
Step-by-step explanation:
6. Given that the term independent of x in the binomial expansion of (x²+p/x)^6 is 240,
(a) find the value of the positive constant p
By the binomial theorem,
[tex]\displaystyle \left(x^2 + \frac px\right)^6 = \sum_{n=0}^6 \binom 6n \left(x^2\right)^n \left(\frac px\right)^{6-n} = \sum_{n=0}^6 p^{6-n} \binom 6n x^{3n-6}[/tex]
where
[tex]\dbinom kn = \dfrac{k!}{n!(k-n)!}[/tex]
is the so-called binomial coefficient.
The term that's independent of x is the constant term, which occurs when [tex]3n-6=0[/tex], or [tex]n=2[/tex]. Given that this constant 240, we have
[tex]p^{6-2} \dbinom62 = 240 \implies p^4 = 16 \implies p = \pm2[/tex]
but [tex]p[/tex] must be positive, so [tex]\boxed{p=2}[/tex]
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
( x/6, y/4 )
( x - 4, y - 6)
(-6 x, -4 y)
( x - 6, y - 4)
T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)
A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.
Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)
and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)
So, the matrix of the transformation is
[tex]\left[\begin{array}{ccc}7&6\\4&5\end{array}\right][/tex]
The inverse of the matrix is
[tex]\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right][/tex]
So, the Inverse Transformation is given by
[tex]T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})[/tex]
So, no option is correct. And the answer is
[tex]T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})[/tex]
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FACTOR THE EXPRESSION GIVEN BELOW. WRITE EACH FACTOR AS A POLYNOMIAL IN DESCENDING ORDER. ENTER EXPONENTS USING THE CARET (^). FOR EXAMPLE, YOU WOULD ENTER x TO THE POWER OF 2 AS x^2.
343x^3 + 216y^3
Each given factor written as a polynomial in descending order is; (7x + 6y)(49x² - 42xy + 36y²)
How to factorize Polynomials?We are given the polynomial;
343x³ + 216y³
343x³ + 216y³ is a sum of cubes and factors in general as;
a³ + b³ = (a + b)(a² - ab + b²)
Thus;
343x³ + 216y³ = (7x)³ + (6y)³
= (7x + 6y)((7x)² - 7x(6y) + (6y)² )
= (7x + 6y)(49x² - 42xy + 36y²)
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1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen.
A) Not binomial: there are too many trials.
B) Procedure results in a binomial distribution.
C) Not binomial: there are more than two outcomes for each trial.
D) Not binomial: the trials are not independent.
The 15 are women, keeping track of the number of men chosen is Not binomial the trials are not independent.
We have given that,
The given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen.
What is the Binomial distribution?In samples with replacement, the probability has to be the same for each trial, that is, they are independent.
Hypergeometric distribution
Samples without replacement, as the probabilities depend on the previous outcomes, that is, they are not independent.
In this question
Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:
Not binomial the trials are not independent.
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mZACB = (6y-7)° and mZDCA = (8y - 1)°.
B
A
D
|
C
What is mZACB?
Answer: [tex]35^{\circ}[/tex]
Step-by-step explanation:
Angles ACB and DCA add to form angle ACB, which is a right angle, so:
6y - 7 + 8y - 1 = 90 [angles that add to form a right angle add to 90 degrees]14y - 8 = 90 [combine like terms]14y = 98 [add 8 to both sides]y = 7 [divide both sides by 14]So, [tex]m\angle ACB=6(7)-7=\boxed{35^{\circ}}[/tex]
X. y
-6. -7
.1. 1
0. 9
3. -2
What is the domain of the given function?
(x|x = -6, -1, 0, 3}
(y|y) =-7.-2, 1, 9}
(x|x = -7, -6, -2.-1, 0, 1, 3, 9}
(y|y)= -7, -6, -2, -1, 0, 1, 3, 9}
Answer: Option (1)
Step-by-step explanation:
The domain is the set of input values, also known as the set of x-values.
What are the vertex, focus, and
directrix of the parabola with
equation y-6=2(x-4)²?
Answer:
vertex (2,6)focus(49/8,2)directrix y=47/8Select the correct answer.
In the given figure, m AD = 79° and m
Answer:
2 or 3
Step-by-step explanation:
write it down dummy
Find sin (ABC + 60) NEED QUICK 100 PPOINTS
Answer:
B
Step-by-step explanation:
using the addition identity for sine
sin(A + B) = sinAcosB + cosAsinB
using the sine and cosine ratios in the right triangle
sinABC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{5}[/tex]
cosABC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{5}[/tex]
using the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
Then
sin(ABC + 60)
= sinABC cos60 + cosABC sin60
= ( [tex]\frac{4}{5}[/tex] × [tex]\frac{1}{2}[/tex] ) + ([tex]\frac{3}{5}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] )
= [tex]\frac{4}{10}[/tex] + [tex]\frac{3}{10}[/tex] [tex]\sqrt{3}[/tex]
= [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{10}[/tex] [tex]\sqrt{3}[/tex]
sin<ABc
Perpendicular/Hypotenuse4/5cos<ABC
Base/Hypotenuse3/5Now
sin(<ABC+60)sin<ABC ×cos60+cos<ABC×sin604/5(1/2)+3/5(√3/2)2/5+3/10√3Use logarithmic properties and solve for x
Answer:
[tex]x = 45 \sqrt{5} [/tex]
Step-by-step explanation:
[tex] {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } [/tex]
[tex] {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } [/tex]
[tex]5 {x}^{2} = {15}^{4} [/tex]
[tex] {x}^{2} = \frac{ {15}^{4} }{5} [/tex]
[tex]x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )[/tex]
[tex]x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} [/tex]
What is the value of y?
Answer:
y = 97°
Explanation:
Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°
So following the rule:
A + C = 180°
y + 83° = 180°
y = 180° - 83°
y = 97°
If t = 0 in 1980, find the value for t in 1990
The value of t is 6.65
What is exponential function?An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.
Given:
A= 210 million
P= A e^(kt)
225 = 210 * e ^ (0.0069t)
225/210= e ^ (0.0069t)
1.07 = e ^ (0.0069t)
Taking log on both side
log 1.047 = 0.0069 t log e
[tex]\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}[/tex]
t= log ( 1.047) / 0.0069
t= 6.65
Hence, value of t is 6.65.
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Answer:
Step-by-step explanation:
What is the slope of a line that is parallel to the line y 3/4x+2
Answer:
-4/3
Step-by-step explanation:
mtan × mline = -1
mtan× 3/4 = -1
mtan =-4/3
Rewrite in simplest terms: (4x+5)+(−5x−1) pls help
Answer:
-x + 4
Step-by-step explanation:
(4x+5)+(−5x−1)
4x+5−5x−1 [Remove the parentheses]
-x + 4 [Combine Like Terms]
Answer:
-x+4
Step-by-step explanation:
Given:
(4x+5)+(−5x−1)
Solution:
To re-write this in it's simplest terms:
4x+5-5x−1Combine like terms:
4x-5x+5-1-x+4Hence the simplest form is -x+4.
Done.
