Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².
What is the variance of a data-set?The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
The mean is the sum of all observations divided by the number of observations, hence:
M = (145 + 175 + 180 + 205 + 120)/5 = 165.
And the variance, in lbs squared, is given by:
V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.
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Which of the following is a difference between simple regression and bivariate correlation?
© a. With correlation, associations cannot be negative
O b. With correlation, perfect associations are possible
O c. With simple regression, categorical variables can be used
O d. With correlation, variables are not described as dependent or independent
O e. In simple regression, associations are stronger
Answer: Answer is C
Step-by-step explanation: It is C because its option C
simplify (4+i)(3-2i)
Answer: 14 - 5i
Step-by-step explanation:
Answer:
-10i+15 or 15-10i
Step-by-step explanation:
Use the cross multiply method
(4+1)(3-2i)
4x3=12
4x-2i=-8i
1x3=3
1x(-2i)=-2i
now we sum our similarities.
-10i+15
Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 18.
As per the question each row must have 6 seats more than the row before it. And there are 11 seats in the first row.
So, the first row has 11 seats
2nd row has 11+6 seats
3rd row has 11+2*6=11+12=23
4th row has 11+3*6=11+18=29
and so on...
We know that the difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. Arithmetic progression can be calculated as
aₙ = a₁ + (n - 1)d,
where aₙ is the nth and a₁ is the first term of this progression respectively and d is the common difference between terms.
So, we can observe the trend and develop the equation for the problem.
There are 11+(n-1)*6 seats in the n-th row.
So, there is 11+(18-1)*6=11+17*6=113 seats in the 18th row.
Therefore, there are 113 seats in the 18th row.
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urgent help needed algebra 2
The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
(x + 5) - ( 2x - 3) = 6
To solve;
(x + 5) - ( 2x - 3) = 6
Distribute the negative;
(x + 5) - 2x + 3 = 6
we need to get the like terms together;
x - 2x + 5+ 3 = 6
-x + 8 = 6
Subtract 8 from both sides, we get;
-x = -2
x = 2
Hence, the solution of the given equation is 2.
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Sergio is learning about the six different skill-related components of fitness. What are these skill-related components? How does each component enhance performance levels?
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
What are these skill-related components?While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.
Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.
Therefore, balance is the skill mainly required in gymnastics.
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If the sides of a square measure 9sqrt3 units, then find the length of the fishbowl.
The length of the diagonal of the square is 22.05 units
How to find the diagonal of a square?A square have all its sides equal to each other.
Therefore, using Pythagoras theorem,
c² = a² + b²
c² = (9√3)² + (9√3)²
c² = 81 × 3 + 81 × 3
c² = 243 + 243
c² = 486
square root both sides
c = √486
c = 22.045407685
c = 22.05 units
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The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
Step-by-step explanation:
let's write this properly :
f(x) = x³
g(x) = (x - 7)³ + 9
this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).
so, the original (0, 0) point corresponds to (7, 9).
Find the solution for x in the equation below.
x² + 72x = 8
[tex]x^2+72x=8\\x^2+72x+1296=1304\\(x+36)^2=1304\\x+36=\sqrt{1304} \vee x+36=-\sqrt{1304} \\x=-36+2\sqrt{326} \vee x=-36-2\sqrt{326}[/tex]
convert the proof to the paragraph format
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
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10% of the library books in the fiction section are worn and need replacement. 20% of the nonfiction holdings are worn. The library's holdings are 60% fiction and 40% nonfiction. The probability to get a worn book is?
Answer: 14%
Step-by-step explanation:
Let's assume that there are 100 books in total.
So there are 60 fiction books and 40 nonfiction books.
10% of 60 is 6.
20% of 40 is 8.
So there are 14 books out of 100 that are worn.
This is 14%
What is the numerical sum of the degree measures of ∠DEA and ∠AEB?
Answer:
The numerical sum of the degree measures of ∠DEA and ∠AEB is
= 180°
Step-by-step explanation:
supplementary angles :
The meaning of supplementary is related to angles that make a straight angle together. It means, two angles are said to be supplementary angles when they add up to 180 degrees. Two angles that are supplementary to each other, do not have to be next to each other. Two angles are supplementary, if
One of its angles is an acute angle and another angle is an obtuse angle.Both of the angles are right angles.This means that ∠p + ∠q = 180°.
From the given figure, we can see that:
∠DEA + ∠AEB = 180°
x+25+9x+10 = 180°
10x + 35 = 180°
10x = 180° - 35°
10x = 145°
x = 145/10
x = 14.5°
Get ∠DEA
∠DEA = x + 25
∠DEA = 14.5 +25
∠DEA = 39.5°
Get ∠AEB:
∠AEB = 9x+10
∠AEB = 9(14.5) + 10
∠AEB = 130.5 + 10
∠AEB = 140.5 °
Hence the value of x, ∠DEA, and ∠AEB are 14.5°, 39.5°, and 140.5°
so, The numerical sum of the degree measures of ∠DEA and ∠AEB is
= 39.5 + 140.5
= 180° (answer)
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Can anyone help me???
Answer:
principal (p)=$1300
Interest (I) =$28.67
Time( T) = 1 year
R=?
we have,
R = I*100/T*R
The length of a rectangle is five more than the width. The area is 66 square meters. Find the length and width. =
Answer:
It doesn't say anything about "Length" and "Width".
Step-by-step explanation:
Brainlest . Just press the .
Answer: We can take 2 common we could also write this as 2 times X plus y.
Step-by-step explanation:
Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters. part b question 2
The domain is {0, 1, 2, 3, 4, 5, 6} and range is {4, 4.5, 5, 5.5, 6, 6.5, 7}.
What is Domain and Range?The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
The complete question is
Ryan also found that he could model the height of his plan with the equation H = 0.5D + 4 where D is the number of days and H is the height in centimeters. Determine the domain and the range for this relationship.
Given:
h = 0.5d + 4
The Domain of the function is: {0, 1, 2, 3, 4, 5, 6}
and the Range is: {4, 4.5, 5, 5.5, 6, 6.5, 7}
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PLEASEE I BEG YOU!!!!!!
What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7)2+11?
Enter your answer as the correct equation, like this: x = 42
Answer:
I think its x = 7
I belive it is
Challenge Anyone?......
Answer:
0.2 [or 2/10 ; or 1/5]
Step-by-step explanation:
100x = 1/10×200
100x = 20
÷100 ÷100
x = 0.2
check:
100 × 0.2 = 20
1/10 × 200 = 20
20 = 20
[true statement]
(Or, you know that 100 is half of 200, and to get from 100 to 200 we had to multiply by 2, and that 100 x 2/10 will be equal; this is harder to word though)
pls answer this math problem
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
__
use x=4When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
solve 2-step equationThe first step is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The second step is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
HELP!Which linear function represents the line given by the point-slope equation y - 2 = 4(x − 3)? Of(x) = 6x-1 Of(x) = 8x-6 Of(x) = 4x - 14 Ofix) = 4x - 10 Which linear function represents the line given by the point - slope equation y - 2 = 4 ( x − 3 ) ? Of ( x ) = 6x - 1 Of ( x ) = 8x - 6 Of ( x ) = 4x - 14 Ofix ) = 4x - 10
[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]
find value o x 235 degree arc
The length of the arc given in the question is; 4.1r
How to find the length of an arc?We are given;
Angle at which arc is subtended; θ = 235°
Formula for arc length subtended at an angle θ is;
Arc Length = (θ/360) * 2πr
where r is radius of circle.
Thus;
Arc Length = (235/360) * 2πr
Arc Length = 4.1r
The complete question is;
Find the value of the length of an arc that subtends an angle of 235 degrees to the circle's center.
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curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a radius of 3 cm and a slant height
of 7 cm.
Work out the total surface area of the cone.
Give your answer in terms of π.
7 cm
3 cm
The total surface area of the cone is 3π + 10 cm².
What is the curved surface area?A cone is a three-dimensional object that consists of a circular base and a vertex.
Total surface area = πr (r + l)
Where:
r = radius l = slant heightπ = piπ x 3 + (3 + 7)
3π + 10 cm²
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Find x. Round to the nearest 10th
Answer:
[tex]\boxed{\bf x = 23.5}[/tex]
Step-by-step explanation:
Using the law of sines.
[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]
A = 42B = x a = 22a = 12[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]
[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]
[tex] \bf \sin(x) = 0.4[/tex]
[tex]\bf x = 23.5[/tex]
_______________________Solve (2465)8*(465)8
Answer:
73,358,400
Step-by-step explanation:
(2465)8 × (465)8
= 19,720 × 3,720
= 73,358,400
Which property of real numbers IS shown below?
3 + ((-5) + 6) = (3 + (-5)) + 6
The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number expression:
= 3 + ((-5) + 6) = (3 + (-5)) + 6
As we know in the associative property:
a + (b + c) = (a + b) + c
= (3 + (-5)) + 6
Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
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Find DG.
DE
2x+17
EF
8
FG
2
x + 20
The value of DG is 4x + 45
Determine the length of a line segmentFrom the question, we are to determine the value of DG
From the given information,
DE = 2x + 17
EF = 8
FG = 2x + 20
Then,
DG = DE + EF + FG
DG = 2x + 17 + 8 + 2x + 20
DG = 4x + 45
Hence, the value of DG is 4x + 45
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What is the proper ordering (from least to greatest) of the
following numbers?
1.0.32
2.0.32%
3.3.2%
4. 3299
Answer:
.0032 .032 .32 3299
Step-by-step explanation:
0.32% =.0032
3.2% = .032
.32
3299
Find the nth term of this quadratic sequence
4, 16, 36, 64, 100, ...
Answer:
144, 196, 256
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Please solve this equation, I don't understand...
show all work!
Answer:
x = - 5/2
Step-by-step explanation:
Using the law of indices
. a^-n = 1/a^n
. (a^4)^5 = a^5×4 = a^20
Note : When two base are equal , we equate the Exponents.
3^4x-5 = (1/27)^2x+10
= 3^4x-5 = (27^-1)^2x+10
= 3^4x-5 = (3^-3)^2x+10
= 3^4x-5 = 3^ -3(2x+10)
= 3^4x-5 = 3^ -6x-30
The two base are 3 so we equate the exponents.
= 4x - 5 = -6x - 30
= 4x + 6x = -30+5
= 10x = -25
= 10x/10 = -25/10
x = -25/10
x = - 5/2
X is -5/2
what type of expression is 3+7-1/2
Numerical Expression
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.
find the common denominator and thin combine the numerators over the common denominator trhin simplify each term thin simplify by adding subtracing thin the result can be shown in multiple forms
exact form 19/2
decimal form 9.5
mixed number form 9 1/2
Which of the following rational functions is graphed below?
Answer:
ANSWER IS B
Step-by-step explanation:
NEXT TIME USE any graph website online