The mean of the data is 1.31, while the mean absolute deviation is 2.56.
What is the Mean Absolute Deviation?The mean is the average of a data set, while the mean absolute deviation is the average distance of the each data point from the mean.
Given the data:
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Find the Mean:
Mean = (3 + 2 + 2 + 5 + 4 + 1 + 3 + 4 + 1 + 0 + 3 + 2 + 1 + 1 + 6 + 3)/16 = 41/16 Mean = 2.5625
Find the Mean Absolute Deviation:
Mean abosolute deviation = (3 - 2.5625) + (2 - 2.5625) + (2 - 2.5625) + (5 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (3 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (0 - 2.5625) + (3 - 2.5625) + (2 - 2.5625) + (1 - 2.5625) + (1 - 2.5625) + (6 - 2.5625) + (3 - 2.5625) / 16
Mean abosolute deviation = 21/16 = 1.3125
Therefore, the mean of the data is 1.31, while the mean absolute deviation is 2.56.
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What is the true solution to the equation below? 2 l n e superscript l n 2 x baseline minus l n e superscript l n 10 x baseline = l n 30
The true solution x for the logarithmic equation which is shown below will be 75.
[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic equation is given below.
[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]
We know that the properties of the logarithm
[tex]e ^{\ln x} = x\\\\a \ln b = \ln b^a\\\\\ln a - \ln b = \ln (\dfrac{a}{b})[/tex]
Then we have
[tex]\begin{aligned} 2 \ln 2x - \ln 10x &= \ln 30\\\\\ln (2x)^2 - \ln 10x &= \ln 30\\\\\ln 4x^2 - \ln 10x &= \ln 30\\\\\ln \dfrac{4x^2 }{10x} &= \ln 30\\\\\ln \dfrac{2x}{5} &= \ln 30 \end{aligned}[/tex]
Taking anti-log, then we have
[tex]\rm \dfrac{2x}{5} = 30\\\\2x \ = 150\\\\x \ \ = 75[/tex]
More about the logarithm link is given below.
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Answer:
x = 75 or b
Step-by-step explanation:
Trust me
a. If mQR = 80° and mQS = 150°, what is mZP?
Answer:
mP = 35
Step-by-step explanation:
QR = 80
QS = 150
The measure of the angle formed by a secant and a tangent intersecting in the exterior of a circle is half the difference between the measures of the intercepted arcs.
This means that (150-80)/2 = mP
mP = 35 degrees
Hope this helps!
Find the missing angle.
26°
Answer:
25
Step-by-step explanation:
if you see 26-24=2
=>27-x=2
=>-x=2-27
=>-x=-25
=>x=25
alexander bought 5 movies for a total of $36. At this rate, what is the cost of 10 movies?
Answer:
72
Step-by-step explanation:
If 5 is 36 muilplte by 2 to get ten and 72
How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many
An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation can be solved in the following manner,
[tex]3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19[/tex]
Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.
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Answer: ZERO
Step-by-step explanation:
GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answer:
30 inches
Step-by-step explanation:
In equilateral triangle all sides are equal. One side of the triangle EB is also the side of a square.
So, all the sides of the square is 6 inches
Perimeter = sum of all sides
= AB + BC + CD + DE + EA
= 6 + 6 + 6 + 6 + 6
= 5*6
= 30 inches
Answer:
Here,
length of the square BCDE(l)= 6 inches
Also,
length of the equilateral triangle ABE(l)=6 inches
Lastly, Perimeter of figure ABCDE= 5*6
=30 inches
or,Perimeter of the figure ABCDE also=
AB+BC+CD+DE+EA
=6+6+6+6+6
=30inches
Step-by-step explanation:
We know,
length DC of the square BCDE(l)=6inches
So,
DC=BC=BE=DE (All sides of a square are equal)
Again,
length BE of the equilateral triangle ABE=6inches
So,
BE=AB=AE (All sides of a equilateral triangle are equal)
Therefore, Perimeter of figure ABCDE=
AB+BC+CD+DE+EA or, 5*6
(perimeter means to sum all the outer sides a given polygon, in this case it's a Pentagon)
Please read cautiouly with patience
Brainliest given easy question :)
Explanation needed.
Answer:
Side Lengths of 4,6, & 7
Side Lengths of 8,9, &4
Step-by-step explanation:
Base on the given we first must know that in order to create a triangle the following must be apply:
[1] All 3 vector have different direction
[2] sum of sizes of 2 vector must be greater than 3rd one.
Thus,
Side Lengths of 4,6, & 7
4 + 7 > 7
10 > 7
Side Lengths of 2,10,&3
2 + 3 > 10
5 <10
Side Lengths of 15, 7 , &8
7+8=15
15 = 15
Side Lengths of 1,4,&3
1+3>4
4=4
Side Lengths of 8,9,&4
8+4>9
12>9
Side Lengths of 6,7,&1
1+6=7
7=7
Hence, we can see that the only ones that are
[1] All 3 vector have different direction
[2] sum of sizes of 2 vector must be greater than 3rd one.
is
Side Lengths of 4,6, & 7
Side Lengths of 8,9, &4
[RevyBreeze]
one number is 3 times another number. If 15 is added to both the numbers, then one of the new numbers becomes twice that of the other new number. Find the numbers
Answer:
15 and 45
Step-by-step explanation:
Let 1st number be x.
Then, 2nd number = 3x.
According to que,
3x+15=2(x+15)
3x+15=2x+30
x=15
Therefore, the two numbers are 15 and 45.
63.1 X 2.2 step by step
Answer:
138.82
Step-by-step explanation:
Line up the numbers on the right - do not line the decimal points.
Start on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
then you add the products.
Answer:
138.82
Step-by-step explanation:
Multiply the numbers using the normal multiplication process. Now, count the number of digits after the decimal point in both the numbers. Add these 2 values & put the decimal point in the product by counting the digits from the left side of the place value. The answer is 138.82.
=》 Check the attachment for the steps.
_____________
Hope it helps ⚜
Evaluate 3x^2+x−2 when x=−2
Answer:
8
Step-by-step explanation:
3(-2)^2+(-2)−2=8
A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back,
and then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?
The probability that a blue marble was drawn followed by a yellow marble is; 0.45.
Probability without replacementAccording to the task content;
It follows that the marbles were drawn without replacement.On this note , the probability that a blue marble and yellow marble were drawn respectively is;
P(B&Y) = 4/16 + 3/15P(B&Y) = 0.45.Read more on probability;
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700 divided by 67
pls help me ////
Answer:
10.4476119402
Step-by-step explanation:
If you want a reasonable answer it would be 10.44 or 10.4!
Ray HJ is the angle bisector of angle GHI. The measure of angle IHJ is 32°. What is the measure of angle GHJ?
a: 64°
b: 16°
c: 32°
d: 0.5°
Answer:
c) 32°
Step-by-step explanation:
The bisector of an angle is the line or line segment that divides the angle into two equal parts. So Ray HJ divides ∠GHI into 2 equal parts.
Therefore, ∠GHJ = ∠IHJ
As we are told that ∠IHJ = 32° then ∠GHJ = 32°
divide the sum of 65 12 and 8 3 by their difference
What is the area of the triangle figure?
The area of the triangle is equal to 12 mm².
Area of triangle
The area of a triangle is given by the formula:[tex]A=\frac{bh}{2}[/tex], where:
b= length of the base;
h=height
STEP 1 - Find the dimensions for the base and the height of the triangle.From the figure, it is possible to see that h= base of rectangle - 4 mm. Then, the height of the triangle(h)= 10-4=6 mm.
You can see that the sum of the base of the triangle with the height of the rectangle is equal to 12 mm. The figure also shows that the height of this rectangle is equal to 8 mm. Thus, the base of the triangle(h)= 12-8=4 mm.
STEP 2 - Find the area of the triangle.
From step 1:
b= length of the base= 4
h=height=6
Therefore, the area of the triangle - [tex]A=\frac{bh}{2}=\frac{4 * 6}{2}=\frac{24}{2} =12 mm^2[/tex].
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To find the missed spaces
Step-by-step explanation:
all coefficients are integers, the rational zeros theorem can be applied.
that means each rational solution ("root") x = p/q, written in most simplified terms so that p and q are relatively prime, can be found for the polynomial
an×x^n + an-1×x^(n-1) + ... + a1×x + a0
p is an ± integer factor of the constant term a0, and
q is an ± integer factor of the leading coefficient an.
in our case here
an = a4 = 1
a0 = 8
the only factor for 1 is ±1.
the factors for 8 are
±1, ±2, ±4, ±8
so, we get
1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1, 1/-1, 2/-1, 4/-1, 8/-1, -1/-1, -2/-1, -4/-1, -8/-1
that leaves us with the different values of
1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1
sorted from smallest to largest
-8/1, -4/1, -2/1, -1/1, 1/1, 2/1, 4/1, 8/1
or simply
-8, -4, -2, -1, 1, 2, 4, 8
Find the Unit Price for each bottle of conditioner. Which bottle of hair conditioner is the best buy?
8 oz for $1.49
12 oz for $2.29
15 oz for $2.75
20 oz for $3.89
Answer:
D.
Step-by-step explanation:
We know that to find unit price, we divide the unit in the numerator by the quantity in the denominator.
For the first option, we must put $1.49 as the numerator and 8 as the denominator. It will then look like this:
[tex]\frac{1.49 / 8 }{8 / 8\\}[/tex] Then we must divide 1.49 by 8. This will get us $0.18625.For our second option, we must put $2.29 as the numerator, and 12 as the denominator. It will look like this:
[tex]\frac{2.29 / 12 }{12 / 12\\}[/tex] Then we must divide 2.29 by 12. This will get us $0.19083 (rounded)For our third option, we must put $2.75 as the numerator, and 15 as the denominator. It will look like this:
[tex]\frac{2.75 / 15 }{15 / 15}[/tex]Then we must divide 2.75 by 15. This will get us $[tex]0.18333[/tex] (rounded)For our final option, we must put $3.89 as the numerator, and 20 as the denominator. It will look like this:
[tex]\frac{3.89 / 20 }{3.89 / 20}[/tex]Then we must divide 3.89 by 20. This will get us $0.1945 (rounded)Therefore, the last option is the best buy because $0.18625 > $0.18333.
Find the volume of the following cube:
1.) 6 cm
2.) 3 in
3.) 7 m
Find the volume of the following rectangle:
1.)
L = 10 in
W= 4 in
H = 2 in
2.)
L = 20 cm
W= 10 cm
H = 5 cm
If you put $2,000 in an account at an annual simple interest rate of 5%, how long will it take your balance
to grow to $2,600? (Hint: How many years will it take to earn $600 worth of interest?)
Answer:
After investing for 10 years at 5% interest, your $2,000 investment will have grown to $3,258
Step-by-step explanation:
Your welcome
Two dice are tossed 396 times. How many times would you expect to get a sum of 3?
Using proportions, it is found that you would expect to get a sum of 3 22 times.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When two dice are rolled, there are 36 total outcomes. 2 of them, (1,2) and (2,1), result in a sum of 3, hence the proportion is given by:
p = 2/36 = 1/18.
Out of 396 tosses, the expected value is given by:
E = 1/18 x 396 = 22.
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How many hours is 75% of 3 days?
Answer:18
Step-by-step explanation: eight equals 24 hours so 75 hours equals 18
Answer:
75% of 3 days is 54 hours. 3 days is 72 hours, 72=100%, x = 75%, 72/x = 100%/75% x/72 = 75/100, x = 54.
Step-by-step explanation:
HELPPPPPP MEEE PLSSS
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Hey ! there
Answer:
208 m²Step-by-step explanation:
In this question we are provided a net of cuboid with ,
Length = 8 mWidth = 6 mHeight = 4 mAnd we are asking to find the surface area of the figure ( cuboid ) . We know that ,
[tex] \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}[/tex]
Where ,
l refers to lengthw refers to widthh refers to heightSolution : -
[tex] \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))[/tex]
[tex] \longmapsto \qquad \: 2(48 + 24 + 32)[/tex]
[tex] \longmapsto \qquad \: 2(48 + 56)[/tex]
[tex] \longmapsto \qquad \:2(104)[/tex]
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar[/tex]
Therefore , surface area of cuboid is 208 square metres .#Keep LearningA similar scale model of a building is 12 in tall and 9 in wide. If the actual building is 100 ft tall, how wide is the building?
97.0 ft
133.3 ft
75.0 ft
50.0 ft
first to answer correctly will be marked brainliest
Answer:
D & B
Step-by-step explanation:
[tex]f(x)=(x-2)^{2} -3[/tex]
The vertex: (2, -3)
[tex]f(2)=(2-2)^{2} -3=0-3=-3[/tex]
Hope this helps
Answer:
1) D. f(x) = (x - 2)² - 3
2) B. (2, -3)
Step-by-step explanation:
hope this helps!
PLEASE ANSWER I WiLL GIVE BRAINLIEST
Step-by-step explanation:
The way to find sidewalk area :")
Answer:
Exact - 40n m²
Approximate 125.6m²
Step-by-step explanation:
Exact area of the sidewalk - n * (11 m)² - n * (9 m)²
- n * 121 m²- n * 81 m²
Exact area of the sidewalk - 40n m²
To find the approximate area of side walk let us substitute pi equals 3.14.
40*3.14 m²
Approximate area of the side walk - 125.6 m²
Therefore the exact area is 40n m² , the approximate area is 125.6 m²
14. Which of the following equations is equivalent to = 3/5=12/x-2
36 = 5x - 10
3x - 2 = 60
15 = 12x - 24
3x - 6 = 60
Answer:
3x - 6 = 60
Step-by-step explanation:
[tex]\frac{3}{5} =\frac{12}{x-2}[/tex]
5*12 = 3*(x-2)
60 = 3x - 6
689x+47x-89 dose anyone know how to solve this?
Answer:
736x-89
Step-by-step explanation:
i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89
Answer:
736x-89
Step-by-step explanation:
first add the like terms (numbers with the same variables)
so now the equation is 736x-89
Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library card. In another, 51% of people have a library card. In the third, 43% have a library card. Based on the three samples, how many people with a library card should he expect are in the population?
a.301
b.357
c343
d.371
pls answer quick
Answer:
343
Step-by-step explanation:
Finding? How many people with a library card should he expect in the population?
Important? Population = 700. Sample 1= 53%. Sample 2 = 51%. Sample 3 = 43%.
How? Average the 3 samples percentages together. The percent sign tells us what the sample size is (% = out of 100). Set up the proportions for library card to sample size and then library card to population. Cross multiply.
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X be the value of a random spin. The distribution of X is given in the table. What is the mean?
Answer:The median of the distribution is (first option)
1
Step-by-step explanation:
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The solution is : The median of the distribution is (first option) 1
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1,
the median of the probability distribution is 1.
Hence, The solution is : The median of the distribution is (first option) 1
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An angle measures 140.6° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
angle one is 23.3
Step-by-step explanation:
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