The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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Find the 51st term of the arithmetic sequence 29,9, -11, ...
Answer:
Step-by-step explanation:
29-9=20
9-(-11)=20
50×-20=-1000
-1000+29=-971
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
Answer:
733
Step-by-step explanation:
18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2
18 - 9 + 9 × 81 - ( 10 ) ÷ 2
(18 - 9) + (9 × 81) (-10 ÷ 2)
9 + 729 - 5
738 - 5
733
I hope this helps!
PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°
Answer:
x = 36
Step-by-step explanation:
Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x
Then x = 180/5 = 36
The measure of x for the given angles is 36° so option (D) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The angle is the measurement of the angular distance.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.
Now,
∠EAB = 180°
∠EAF + ∠FAB = 180°
3x + 2x = 180
5x = 180
x = 36°
Hence "The measure of x for the given angles is 36°".
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CAN SOMEBODY HELP ME SOLVE THIS The diameter of a cylinder is 1 yd. The height is 12 yd. What is the volume of the cylinder
Answer:
7.21
Hope it helps!!!Brainliest pls!!!Hello I need help on this math question
Answer:
A. 904.32 ft cubed
Step-by-step explanation:
Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help
Answer:
The distributive property
Step-by-step explanation:
Select all the expressions that are equal to 12x + 36
12(x + 24)
x(12 + 36)
3(4x + 12)
4(3x + 9)
4(3x + 9x)
Answer:
The answer are
12(x + 24) ❌
x(12 + 36) ❌
3(4x + 12) ✅
4(3x + 9) ✅
4(3x + 9x) (Again?) ✅
Step-by-step explanation:
12x + 36 equals 12(x + 3) (Keep that in mind)
12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌
x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌
3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct. ✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅
Hope this helped! Keep strong and good luck! :)
Can you mark me brainliest? But wait! It's your choice. I don't have the right to brag. Have a nice day!! :D
Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>
- ✨7272033Alt✨
m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at
Answer:
M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong
What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)
Answer:
Proportional
Step-by-step explanation:
[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1
5 x 2 = 10
12 x 2=24
The ratios are proportional.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
The given ratios are proportional
Step-by-step explanation:
To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
When using cross multiplication, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
When simplified, we get;
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
[tex]\implies 120 = 120 \ \checkmark[/tex]
Therefore, the relationship is proportional.
Please Help! Will Give Brainlest!
Answer:
height of tress is 20 feet
Step-by-step explanation:
because tan = perpendicular/ height
we see option only 20 feet satisfy it
Answer:
Option D :- 20 feet
Step-by-step explanation:
[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]
[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]
[tex] \sf \: height \: = 20 \: ft[/tex]
Write each expression without the absolute value symbol |3x+12|
Answer:
Step-by-step explanation:
|3x+12|
one is as it is one is the negative value of it
3x + 12 - (3x + 12)
- 3x - 12
That is because both negative and positive values put in am absolute value become positive.
The value of the absolute value function is given by the expressions A and B where A = 3x + 12 and B = - ( 3x + 12 )
What is Modulus Function?Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Given data ,
Let the modulus function be represented as M
Now , the value of M is
M = | 3x + 12 | be equation (1)
The absolute value function is defined as
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
So , the two expressions are
A = 3x + 12 and
B = - ( 3x + 12 )
Hence , the absolute value functions are solved
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For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?
A)x = -3 or 2
B)x=6/5 or -1
C)x = 3 or -2
D)x = -6/5 or 1
5x² + x - 6 = 0
Δ = 1² - 4*5*(-6) = 121 = 11²
x' = (-1 - 11) / (2x5) = -12/10 = - 6/5
x" = (-1 + 11) / (2x5) = 10/10 = 1
=> D
The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Example; ax² + bx + c = 0
Given that the quadratic equation,
[tex]f (x) = 5x^2 + x - 6[/tex]
Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.
[tex]f (x) = 5x^2 + x - 6[/tex]
[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]
[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]
[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]
[tex]f (x) = (5x + 6) (x - 1)[/tex]
Hence, the value of zeroes,
[tex]5x + 6 = 0[/tex]
[tex]5x = - 6[/tex]
[tex]x = \dfrac{- 6}{5}[/tex]
And, [tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
So, the value of x is x = - 6/5 and x = 1. Hence option D is true.
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Can somebody please help this is due very soon
Your answer is
Slope = -1.000/2.000 = -0.500x-intercept = 7/1 = 7.00000y-intercept = 7/2 = 3.50000Step-by-step explanation:
Marvin's favorite hiking trail is 5. 91 miles long. If he has hiked it 8 times, how far has he hiked on this trail?
Answer: 47.28 miles
Step-by-step explanation: 5.91 times 8= 47.28
Solve: 2x + 3 = -1
Please help me on this question :)
Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the data in the question;
2x + 3 = -1Value of x = ?2x + 3 = -1
First, we collect like terms.
2x = -1 - 3
2x = -4
divide both sides by 2
2x/2 = -4/2
x = -4/2
x = -2
Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.
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I need help I failing
Answer:
A and C
Step-by-step explanation:
Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.
The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.
I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused
I hope this helps!
-No one
Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
I hope this helps!!
HELP ASAP LAST QUESTION I PROMISE
Answer:
[tex]a=36\: \sf ms^{-2}[/tex]
Step-by-step explanation:
[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]
[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]
[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]
At the moment the direction of motion of P reverses, the velocity of P will be zero. Therefore, find the value of t when v = 0:
[tex]\implies v=0[/tex]
[tex]\implies 12t^2-27=0[/tex]
[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]
[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]
As time is positive, P reverses when t = 3/2 s
To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:
[tex]\implies a=24(\frac32)[/tex]
[tex]\implies a=36\: \sf ms^{-2}[/tex]
Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =
Answer:
below
Step-by-step explanation:
the law of indices:
a) x⁵
b) x¹⁷
c) -18s⁹
d) -60x²
36. Only 0.15 of the total number of vehicles in your school parking lot are
buses. What percent of the vehicles are buses?
10 points
0,15 = 15 : 10 = 15%
Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
What is factored form?The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]
2. Taking x² as the common term
[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]
3. Taking y as the common term,
[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
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Geometry question pic Below
Arc JK = ______°
M<1 = ______°
Answer:
Step-by-step explanation:
Can someone answere this please
Answer:
90
Step-by-step explanation:
Number of boxes can be filled
= (60 x 50 x 30) ÷ (10x10x10)
= 90
Answer:
90
Step-by-step explanation:
P = L×W×H
=60×50×30
P= 90,000
P= L×W×H
=10×10×10
P=1,000
90,000 ÷ 1,000 = 90
So, 90 pieces of terry in one cartoon
I think it's help
A year has four seasons. What is the probability that a day chosen at random will be in the spring?
Answer:
1/4; 25%
Step-by-step explanation:
if a year has four seasons we can say that there are 4 possibilities
spring appears once
this means that the probability that a day chosen at random will be in spring would be 1 out of 4
or 25%
Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
A roller coaster starts out at a height of 100 feet. It
then drops 43 feet, loops around, drops another 29
feet and finally increases 10 feet to the exit platform.
a. Write an expression to represent this.
b. Then determine the altitude of the exit platform.
Step-by-step explanation:
a) x = 100 - 43 - 29 + 10
b) 100 - 43 = 57.
57 - 29 = 28.
28 + 10 = 38.
38 feet.
solve 3x-1=5x+7
Please help
Answer:
[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]
# Jerry Don is here#
What is the length of the side of a square if it's area is 0.49 square units?
Answer:
a=0.7
A Area
0.49
Using the formula
A=a2
Solving fora
a=A=0.49=0.7
Is (1, 13) a solution to this system of equations?
y = 8x + 5
y = 13
Yes or No
Answer:
yes
Step-by-step explanation:
i hope this will help
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus
The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
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Answer:
20,400 BTUs
Step-by-step explanation: