Answer: About 5.59
Step-by-step explanation:
The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.
Here is what it looks like.
[Step 1]
Find the average.
[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]
[Step 2]
Find the absolute value of each data from the mean.
|52 - 56.14| = 4.14
|65 - 56.14| = 8.86
|63 - 56.14| = 6.86
|48 - 56.14| = 8.14
|52 - 56.14| = 4.14
|53 - 56.14| = 3.14
|60 - 56.14| = 3.86
[Step 3]
Find the average of these values.
[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]
1. What number is 35% of 80?
Answer: 28
Step-by-step explanation: 80 x 0.35 = 28
when we multilpy we get 80×0.35 = 28
You are driving a 50 foot vehicle at night. although you are on the highway, a bad rainstorm is forcing you to creep along at 35 mph. you should keep ___seconds of distance between you and the vehicle ahead.
You should keep 0.97 seconds of distance between you and the vehicle ahead.
How to calculate the distance and time taken by a carThe formula for calculating distance is expressed as:
distance = speed * time
Time = Distance/Speed
Given the following parameters
Distance = 50 feet
Speed = 35mph = 51.3ft/s
Time taken = 50/51.3
Time taken = 0.97
Hence you should keep 0.97 seconds of distance between you and the vehicle ahead.
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The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figureThe coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
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Help pls need done now :)
Answer:
g(x) = x^2 + 6
Step-by-step explanation:
We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).
g(x) = (x - h)^2 +k
It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.
g(x) = (x-0)^2 + 6
g(x) = x^2 + 6
The ratio of the number of boys and girls in the class is 4:3. There are 45 students in a class. How many students are boys?
Answer:
26
Step-by-step explanation:
as the ratio is given you should divide ratio of boys by total ratio and multiply it by the total number of students, kinda like how in percentages you divide partial value/total value x 100, just in this case the total is 45 instead of 100. So [tex]\frac{4}{7} * 45[/tex] = 25.7 which have to be rounded to 26
The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.
if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.
so:
5x×12x=120
60x²=120
x²=120÷60
x²=2
x=√2
that means each dimension was increased by √2
so dimensions are: 5√2 and 12√2
URGENTTTTT
Describe the graph of f(x)=-3(x+1)^2 (x-3) (x-5)^3. Include as much information in your description as possible.
(i will not click on links so dont even try-)
The graph is not symmetric, and it has no vertical or horizontal asymptotes.
What is coordinate geometry ?Coordinate geometry is a branch of mathematics that combines algebraic and geometric concepts to study the properties of geometric figures using a coordinate system. It involves representing geometric figures such as points, lines, curves, and shapes in a plane or space using numerical values called coordinates.
According to given information :The graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a cubic polynomial function with several important characteristics:
Degree: The degree of the function is 7, which means that the graph has 7 x-intercepts.
Symmetry: The function is not symmetric with respect to the y-axis or the origin.
End Behavior: As x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches negative infinity.
Zeros: The function has x-intercepts at x = -1, x = 3, and x = 5. The intercept at x = -1 has a multiplicity of 2, while the intercepts at x = 3 and x = 5 have a multiplicity of 3. This means that the graph touches the x-axis at x = -1 and bounces off at x = 3 and x = 5.
Turning Points: The function has two turning points, one at x = -1 and one at x = 3. The turning point at x = -1 is a local maximum, while the turning point at x = 3 is a local minimum.
Behavior near Zeros: Near each of the x-intercepts, the function changes direction. At x = -1, the function changes from decreasing to increasing. At x = 3 and x = 5, the function changes from increasing to decreasing.
Vertical Asymptotes: The function has no vertical asymptotes.
Horizontal Asymptotes: The function has no horizontal asymptotes.
Intercepts: The y-intercept of the function is at y = 0.
Overall, the graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a complicated cubic polynomial with multiple x-intercepts, turning points, and changing directions near the intercepts.
Therefore, the graph is not symmetric, and it has no vertical or horizontal asymptotes.
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5[tex]5x^{2} + 20x - 60 =[/tex]
Answer:
5
x
2
+
20
x
−
60
Factor
5
out of
5
x
2
+
20
x
−
60
.
Tap for more steps...
5
(
x
2
+
4
x
−
12
)
Factor.
Tap for more steps...
5
(
x
−
2
)
(
x
+
6
)
Step-by-step explanation:
ANSWER IS =5X2+20X-60
------------------------------
THIS ANSWER IS CORRECT
CHOOSING BRAINLIEST PLEASE HELP
Answer:
i think that the correct answer would be A or C
Step-by-step explanation:
hope this helps
sorry if the answers that i gave you is incorrect
Answer:
2nd option
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]
please help!! i’ll give brainliest
Find the circumference of this circle. Use 3.14 to approximate T.
C = 27r
14 ft
C = [ ? ] ft
Answer:
43.98229 ft
Step-by-step explanation:
The diameter is 14ft, meaning the radius, which is half of it, is 7ft. Plug 7 into the r. C= 2pi(7) which 14pi. Now you multiply 14 by 3.14, which is the value of pi, and round it to whatever you need to give you your value.
The value of circumference of this circle is,
⇒ circumference = 14π ft
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Diameter = 14 ft
Hence, We get;
Radius = 7 ft
Thus, The value of circumference of this circle is,
⇒ circumference = 2πr
⇒ circumference = 2 × π × 7
⇒ circumference = 14π ft
Thus, The value of circumference of this circle is,
⇒ circumference = 14π ft
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no links please help!!!
Answer:
5. During the day, the temperature on the surface of Mars rises at a rate of 9 degrees C every hour
a. In 2 hours: 18 a. in 3 hours: 27 in n hours: 9n
b. y=9n
c. 108
d. -540
6. Kaite saves 5 dollars every week, so far she has saved a total of $63
a. y=5x+63
b. 25
hope it helps
What is 1748 divided by 38 can u show the work
The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a head.
Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the spinner, one is one out of six possible outcomes.For the coin, a head is one out of two possible outcomes.Since the events are independent, the probability of spinning a 1 and tossing a head is given by:
[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].
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What is an equation of the line that passes through the points (4, 7) and (-3, 7)?
Step-by-step explanation:
Slope= 7-7/-3-4
0/-7
0
y-7 = 0(x-4)
y-7= 0
y=7MARK ME AS BRAINLISTWhat is the area of the parallelogram if each square is 1 square foot?
12 ft
12
12 ft3
12ft2
To calculate the area of a parallelogram
⇒ we must know the formula
⇒ Area = base * height
What are we given:
Base length: it is 4ft because we counted that the length covered 4 squareHeight length: it is 3ft because we counted that the height covered 3 squareThus:
Area = 3ft * 4ft = 12 [tex]ft^2[/tex]
Hope that helps!
Factor the expressions 7 – 42
Answer:
7 (1-6)
Step-by-step explanation:
you find the greatest common factor of 7 and 42.
7
7x1
42
1x42
2x21
3x14
6x7
Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.
Monthly Budget
Category Amount of Money
Rent $896
Groceries $384
Savings $165
Car payment $428
Utilities $120
What percentage of Alberto’s income is used to pay for his rent and groceries?
Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
Alberto’s monthly income is $3,200, hence b = 3200.He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.Then, the percentage is given by:
[tex]P = \frac{1280}{3200} \times 100\% = 40\%[/tex]
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a punch bowl contains 58 fluid ounces of fruit juice. Ishmat adds 2 containers of lemonade to the bowl. Each container holds 6 fluid ounces of lemonade.
How much liquid is in the punch bowl after Ishmat adds the lemonade?
46 fl oz
64 fl oz
66 fl oz
70 fl oz
Answer:
70 fl oz
Step-by-step explanation:
Find how much is added to the punch bowl.
2 containers and each holds 6 fluid ounces.
2 x 6 = 12
Now find the total amount of liquid by adding the original amount and the amount added.
58 + 12 = 70
what is the equation of line a
Step-by-step explanation:
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
1 . Maisa is 1.5 m tall and Arman is 175 cm tall . What is the ratio of their heights ?
Please add solution
Thank you so much
Answer:
6:7
Step-by-step explanation:
1.5 m=150 cm
ratio of their hight is 150/175=30/35=6/7
=6:7
The proportion equation is A = 6 : 7
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A
Now , the value of A is
The height of Maisa is P = 1.5 m
The value of 1.5 m = 150 cm
And , the height of Arman = 175 cm
So , the proportion is
A = height of Maisa / height of Arman
Substituting the values in the equation , we get
A = 150 / 175
A = 6/7
Therefore , the value of A is 6 : 7
Hence , the proportion is 6 : 7
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Write the equation of the line tangent to
y = x^3 – 2x + 3 at x = -1.
Answer: y = x + 5
Step-by-step explanation:
It is estimated the value of a new car decreases by 30% after one year of ownership. Find the
value of a car after one year of ownership if the cost of the new car was $24,300.
Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.
Answer:
undefined
Step-by-step explanation:
Given points: (-8, -3) and (-8, -2)
As the x-value of both points is the same, there is no slope.
Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]
Proof[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]
Any number divided by zero is undefined.
20 POINTS HELP NEEDED ASAP
use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0
Answer:
One solution
Step-by-step explanation:
Discriminant
[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]
[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]
[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]
Given equation:
[tex]-8x^2-8x-2=0[/tex]
Swap sides:
[tex]\implies 8x^2+8x+2=0[/tex]
Using discriminant:
[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]
Therefore, there is one solution
--------------------------------------------------------------------------------------------
Proof
[tex]8x^2+8x+2=0[/tex]
Divide both sides by 2:
[tex]\implies 4x^2+4x+1=0[/tex]
Separate the middle term:
[tex]\implies 4x^2+2x+2x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (2x+1)(2x+1)=0[/tex]
Therefore:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=-\dfrac12[/tex]
Thus proving there is one solution.
Here
a=-8b=-8c=-2Discriminate
D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0Roots are equal hence one solution
WILL GIVE BRAINLIEST Graph the piecewise function
Answer:
Step-by-step explanation:
If each vowel in the word COLLEGE substitutes with the next letter of the English alphabetical series and each constant is substituted with the 2nd letter preceding it. How many vowels are present in the new arrangement? Fast plsssssssssssss with steps....
Answer:
2
Step-by-step explanation:
Following the substitution rules:
O becomes P and
E becomes F
because they are vowels(a,e,i,o,u) change to next letter.
C becomes A
L becomes J
G becomes E
because constants change to the letter two before the given letter.
So COLLEGE becomes APJJFEF
so it now has 2 vowels.
Which sentence explains the correct first step in the solution of this equation?
4(x−3)=9
Add 2 to both sides.
Apply the distributive property to get 4x−12=9.
Apply the distributive property to get 4x−3=9.
Subtract 9 from both sides.
Answer:
B. Apply the distributive property to get 4x-12=9[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
Use the distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
4(x-3)=9Expand the form multiply.
4*x=4x
4*3=12
Rewrite the problem down.
4x-12=9
Add by 12 from both sides.
4x-12+12=9+12
Solve.
Add the numbers from left to right.
9+12=21
4x=21
Divide by 4 from both sides.
4x/4=21/4
Solve.
Divide the numbers from left to right.
x=21/4
21/4=5.25
x=21/4=5.25
Therefore, the final answer is x=21/4=5.25.I hope this helps you! Let me know if my answer is wrong or not.
The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.
Kevin is remodeling his bathroom. He needs to cut a circular hole out of a countertop to place the sink, as shown in the figure. What will be the area of the countertop once Kevin cuts the hole, to the nearest square inch? Use 3.14 as an approximation for pi.
Answer:
838 inches²
Step-by-step explanation:
Finding the area of the countertop including the hole
⇒ Area of countertop including hole: LB
⇒ Area of countertop including hole: (24)(48)
⇒ Area of countertop including hole: 1152 inches²
Finding the area of the hole (sink)
⇒ Area of hole: πr²
⇒ Area of hole: (π)(D/2)²
⇒ Area of hole: (π)(20/2)²
⇒ Area of hole: (π)(10)²
⇒ Area of hole: (π) x 100
⇒ Area of hole: 3.14 x 100 = 314 inches²
Finding the area excluding the hole
1152 - 314 = Area of countertop (excluding the hole)
838 inches² = Area of countertop (excluding the hole)
Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?
Answer:
37 and 43
Step-by-step explanation:
There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.