The mean for the data is given as follows:
21.08 million.
The mean absolute deviation for the data is given as follows:
3.064 million.
The mean absolute deviation means that the top five salaries for the Los Angeles Dodgers in 2015 differ on average by 3.064 million from their mean of 21.08 million.
What is the mean absolute deviation of a data-set?The mean of a data-set is obtained by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is obtained with the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence the mean for this problem is calculated as follows:
Mean = (28 + 21.8 + 21.1 + 19 + 15.5)/5
Mean = 21.08 million.
The mean absolute deviation is then calculated as follows:
MAD = (|28 - 21.08| + |21.8 - 21.08| + |21.1 - 21.08| + |19 - 21.08| + |15.5 - 21.08|)/5
MAD = 3.064 million.
More can be learned about the mean absolute deviation at https://brainly.com/question/447169
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Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9
Answer:
2x + 9 = 21
Step-by-step explanation:
Looking at option C;
2x + 9 = 21
Step 1: Subtract 9 from both sides
2x+9 - 9 = 21 - 9
2x = 12
Step 2: divide both sides by 2
2x/2 = 12/2
x = 6
Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps
Help!!!!!!!!!!!!!!!
If f(x) = -(24 – 32) – x, find f(-2).
What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
Answer: 118
Step-by-step explanation:
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
Whoever sees this first and answers it first get to be marked brainliest and gets 185 points
aaa THIS IS HELPPING JE A LOT TYYaaaaaAnswer:
Step-by-step explanation:
Answer:
yooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
How did President George W. Bush respond to the terrorist attacks of September 11, 2001?
A. He met with Saddam Hussein.
B. He had Osama bin Laden captured.
C. He ordered an invasion of Afghanistan.
D. He strengthened the government of Iraq.
you answer is C
so the united states invasion of afghanistan occurred after the September 11 attacks in late 2001, supported by close US allies. The conflict is also known as the US war in Afghanistan. the goal was to dismantle al-Qaeda and deny it a safe base of operations in Afghanistan by removing the Taliban from power.
:)
PLEASE ANWSER nnbbbcnjbcm
Answer:
I dont really know how to do this, but I think you have to multiply
Step-by-step explanation:
Answer:
all you will do is is to get the surface area of each object
triangles each equals 8.64 squared cm
the rectangle equals 172.8 squared cm
Step-by-step explanation:
triangle= 0.5×4.8×3.6=8.64 squared cm
rectangle=12×14.4= 172.8 squared cm
the prism of all will be (8.64)(2)+172.8=190.08 squared cm
Find the solution of the system of equations.
15x -4y = -50
3x - 2y = -16
Answer:
15x - 4y =-50 -----(i)
3x - 2y=-16 --------(ii)
Using Substitution
From (i)
15x=4y-50
x=4y-50/15
Substitute x=4y-50/[15] into eqn (ii)
3x - 2y= -16
3[4y-50]/15 - 2y =-16
Multiply through by 15 to clear the fraction
3(4y - 50) - 30y=-240
12y - 150 -30y=-240
12y-30y=-240+150
-18y = -90
y=90/18
y=5.
Substitute into any eqn of choice to get x
3x - 2y=-16
3x - 2(5)=-16
3x - 10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2.
x= -2
y=5
A cone has a height of 7 inches and a radius of 3 inches. What is the volume of the cone in cubic inches rounded to the nearest whole number?
Answer:
66
Step-by-step explanation:
volume of a cone= pi×r^2×h/3
so 3x3=9
9×3.14=28.26
7/3= approximately 2.33
28.26×2.33=65.8458
68.8458=66
hope this helps
Which statement is true about whether A and B are
independent events?
A and B are independent events because P(AIB) = P(A).
A and B are independent events because P(AIB) = P(B).
A and B are not independent events because P(AIB)
*P(A).
A and B are not independent events because P(AIB)
PIB)
Answer:
A and B are independent events because P(AIB) = P(A).
Step-by-step explanation:
got it right on edge
The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
What is Bayes' theorem?
The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.
Suppose that there are two events A and B. Then suppose the conditional probability is:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,
P(A∩B) = P(A)·P(B)
Similarly, using the chain rule, for independent events, we can write,
P(A|B) = P(A)
P(B|A) = P(B)
Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
Learn more about Bayes' Theorem:
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help me out please ill give you 5 star, brainlist
Answer:
H
Step-by-step explanation:
you can see that it's increasing by 50 for each line
4*50=200
Find all the missing elements:
B
14
15
70°
A
b
с
Answer:
[tex]B=48.7\\[/tex]
[tex]c=61.3[/tex]
[tex]b=12[/tex]
Step-by-step explanation:
Using sines law for triangles,
[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]
⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]
⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]
⇒ [tex]15.9625=\frac{14}{sinC}[/tex]
⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]
⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]
⇒ [tex]C=61 ~ or ~ 61.30[/tex]
[tex]\frac{b}{Sin B}=15.9625[/tex]
Now sum of angles a Δ is 180°
A+B+C=180°
[tex]70+B+61=180[/tex]
[tex]B=180-131=49~ or ~ 48.7[/tex]
[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]
╔════ ∘◦ ☆ ◦∘ ══════╗
hope it helps..
have a great day!!
╚═════ ∘◦ ❉ ◦∘ ═════╝
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Figures are not drawn to scale.
Answer:
KL is 1.2
JK Equal 2LK
and same thing in the first trangle
GH equal 2IH
I need help with this ASAP!!!!
Answer:
B) 81.96°
Step-by-step explanation:
40.67 - (-41.29)
40.67 + 41.29 = 81.96
the answer? wowisoososksks
Answer:
1/6
Hope that this helps!
'na1 18 43 written in expanded form?
A.
B.
C.
D.
4x3
4+4+4
3x3 x3 x3
4 x 4 x 4
(4x^2+28x+20)/ (x+6)
quotient
remainder
Answer:
[tex]4x+4-\frac{4}{x+6}[/tex]
Step-by-step explanation:
[tex]\frac{\left(4x^2+28x+20\right)}{\left(x+6\right)}[/tex]
Step 1: Divide
[tex]=4x+\frac{4x+20}{x+6}[/tex]
Step 2: Divide again
[tex]=4x+4+\frac{-4}{x+6}[/tex]
Step 3: Simplify
[tex]=4x+4-\frac{4}{x+6}[/tex]
Therefore, the quotient remainder is [tex]4x+4-\frac{4}{x+6}[/tex]
what is the answer to 7x - 10y + 12 if x = 6 and y = 3?
Answer:
=24
Step-by-step explanation:
what is the answer to 7x - 10y + 12 if x = 6 and y = 3?
7x 6 - 10x3 + 12
42 - 30+12
=24
have a good day
Answer:
[tex] \huge{\boxed{\mathfrak{Answer \hookleftarrow}}}[/tex]
→ Equation
[tex]7x - 10y + 12[/tex]
→ Values
[tex]x = 6 \: and \: y = 3[/tex]
→ Substitute the given values of x & y in the equation.
[tex]7x - 10y + 12 \\ = 7(6) - 10(3) + 12 \\ = 42 - 30 + 12 \\ = 12 + 12 \\ = 24[/tex]
Find the value of x and y x+y=4 x-y=2
Answer:
- Subtract y from both sides of the equation.
x = 4 − y
- Move all terms that don't contain y to the right side and solve.
y = − 2 + x
Step-by-step explanation:
What is the area and perimeter?
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
Whats the volume help pls
Answer:
36 Cubic Units
Step-by-step explanation:
Volume of a cube: Length x Width x Height
4 x 3 x 3 = 36
The third-degree Taylor polynomial about x = 0 of In(1 - x) is
Answer:
[tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
MacLaurin/Taylor Polynomials
Approximating Transcendental and Elementary functionsMacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + ... + \frac{f^{(n)}(0)}{n!}x^n[/tex]Taylor Polynomial: [tex]\displaystyle P_n(x) = \frac{f(c)}{0!} + \frac{f'(c)}{1!}(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \frac{f'''(c)}{3!}(x - c)^3 + ... + \frac{f^{(n)}(c)}{n!}(x - c)^n[/tex]Step-by-step explanation:
*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.
Step 1: Define
Identify
f(x) = ln(1 - x)
Center: x = 0
n = 3
Step 2: Differentiate
[Function] 1st Derivative: [tex]\displaystyle f'(x) = \frac{1}{x - 1}[/tex][Function] 2nd Derivative: [tex]\displaystyle f''(x) = \frac{-1}{(x - 1)^2}[/tex][Function] 3rd Derivative: [tex]\displaystyle f'''(x) = \frac{2}{(x - 1)^3}[/tex]Step 3: Evaluate Functions
Substitute in center x [Function]: [tex]\displaystyle f(0) = ln(1 - 0)[/tex]Simplify: [tex]\displaystyle f(0) = 0[/tex]Substitute in center x [1st Derivative]: [tex]\displaystyle f'(0) = \frac{1}{0 - 1}[/tex]Simplify: [tex]\displaystyle f'(0) = -1[/tex]Substitute in center x [2nd Derivative]: [tex]\displaystyle f''(0) = \frac{-1}{(0 - 1)^2}[/tex]Simplify: [tex]\displaystyle f''(0) = -1[/tex]Substitute in center x [3rd Derivative]: [tex]\displaystyle f'''(0) = \frac{2}{(0 - 1)^3}[/tex]Simplify: [tex]\displaystyle f'''(0) = -2[/tex]Step 4: Write Taylor Polynomial
Substitute in derivative function values [MacLaurin Polynomial]: [tex]\displaystyle P_3(x) = \frac{0}{0!} + \frac{-1}{1!}x + \frac{-1}{2!}x^2 + \frac{-2}{3!}x^3[/tex]Simplify: [tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]Topic: AP Calculus BC (Calculus I/II)
Unit: Taylor Polynomials and Approximations
Book: College Calculus 10e
12x - 24 + 3x = 1/3x + 4 + 10x plz no link or spam (i will report you)
Answer:
x=6
15x - 24 = 1/3x + 4 + 10x
=
45x - 72 = x + 12 + 30x
=
45x - 72 = 31x + 12
=
45x - 31x = 12 + 72
=
14x = 84
=
x = 6
Evaluate the expression.
3 + (50- 5^2)
If the simple interest earned on $6000 for 9 years is $2,160. Then what is the interest rate?
Answer:
4 %
Step-by-step explanation:
1 year interest =2160÷9
= £240
Interest rate=240/6000 ×100
=4%
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 3
7 | 9
A. -2
B. 2
C. 3
D. 6
Answer:
B. 2
Step-by-step explanation:
(4, 3) (7, 9) M = Slope
M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex] Slope formula
[tex]M=\frac{9-3}{7-4}[/tex] Using the slope formula, plot both x and y intercepts
[tex]M=\frac{6}{3}[/tex] Slope needs to be simplified into a whole number
[tex]M=2[/tex]
Solve the following equation for x.
Answer:
48
Step-by-step explanation:
jhus cross multiply 12*4=48
Answer:
x = 48
Step-by-step explanation:
x/4 = 12
4x/4 = x = 4(12) = 48
Check answer: 48/4 = 12
If c = 13 and A = 73º, find a. Round to the nearest tenth.
Answer: 34
Step-by-step explanation: