Answer:
Mean = 52 MAD = 47.3
Step-by-step explanation:
mean = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42 / amount of data = 572 / 11 = 52 MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85 / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72 = MAD =52-4.72 = 47.28
The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
What is mean and MAD?Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.
mean = sum of the terms / total number of terms
MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
mean = sum of the terms / total number of terms
[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]
[tex]=\frac{572}{11}[/tex]
= 52
Mean = 52
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
= 2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11
= 214 / 11
Mean absolute deviation = 19.45
Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
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solve pls brainliest
tell me where the dot go!
Answer:
The first dot is on -9 and the second dot is on -7.
(a) -9 is to the left of -7.
(b) -9<-7
Step-by-step explanation:
What does 9. 692 = 4= to sorry I'm bad at math I know
you can do it, your our future engineer or doctor
Step-by-step explanation:
HOPE IT CAN HELP ;))
Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have
Answer:
56 cents
Step-by-step explanation:
1 quarter = 25 cents
3 dimes = 30 cents
1 penny = 1 cent -_-
25 + 30 + 1 = 56
A coin is tossed 6 times, find the probability of getting 3 heads.
Answer:
3/6
Step-by-step explanation:
Answer:
0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%
Step-by-step explanation:
0.31 is the probability of getting exactly 3 Heads in 6 tossed
0.66 is the probability of getting at least 3 heads
Solve by elimination, ordered pair also
4x + 6y = 12
6x + 9y = 12
[tex]\large\underline{\sf{Solution-}}[/tex]
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
Which of the following are not polynomials?
Answer:
A, B, D
Step-by-step explanation:
A polynomial is a 1 term or a sum of terms.
Each term is a number multiplied by 0 or more variables.
A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.
Answer: A, B, D
HELP RN PLEASEEEEEE
Aashi buys
2 packets of bread rolls costing £1.40 for each packet
1 bottle of ketchup costing £1.80
3 packets of sausages
Aashi pays with a £10 note.
She gets 45p change.
Work out the price in pounds (£) of one pack of sausages.
(you will get brainliest) !! :D
Price of one unit Sausage = 1.65
Sum ( Price x Quantity) = Total Expenditure
Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage
Total Expenditure Value = 10 - 0.45 = 9.55
Let price of sausage = P
Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55
2.80 + 1.80 + 3 Ps = 9.55
4.6 + 3 P = 9.55
3P = 9.55 - 4.60 = 4.95
P = 4.95 / 3 = 1.65
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A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?
Answer:
volume = height × length ×width
volume =18×14×2
volume =504ft³
Step-by-step explanation:
answer 504ft3
Need help with this tricky image
help pls. i’ll give brainliest
Answer:
last 2 I think
Step-by-step explanation:
okokokokokipullup
help with#14 please!!!
let's solve for f :
[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex][tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]Taking reciprocal of both sides :
[tex]f = \dfrac{ab}{a + b} [/tex]Urgent.. Please somebody help me with this it due by tomorrow
Find the inverse function in slope-intercept form (mx+b)
f (x) = x - 16
f^-1 (x) =
Answer:
[tex] \rm y = x + 16 [/tex]
Step-by-step explanation:
A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,
[tex]\rm\implies f(x) = x - 16 [/tex]
Let ,
[tex]\rm\implies y = f(x)[/tex]
So that ,
[tex]\rm\implies y = x - 16 [/tex]
Interchange x and y ,
[tex]\rm\implies x = y - 16 [/tex]
Solve for y ,
[tex]\rm\implies y = x + 16[/tex]
Now replace ,
[tex]\rm\implies y = f^{-1}(x) [/tex]
We have ,
[tex]\rm\implies f^{-1}(x) = x+16 [/tex]
And in slope intercept form ,
[tex]\rm\implies \boxed{\pink{\frak {y = x +16}}}[/tex]
What is the ratio of vowels to consonants?
MATHEMATICS
Answer:
3 to 10
Step-by-step explanation:
Vowels are a, e, i, o, u, sometimes y
Vowels + consonant = Total letters
6 + consonant = 26
vowels to consonants = 6 to 20 = 3 to 10
Evelyn swimming pool requires 3 quarts of a bacterial cleaning agent five times a month how many gallons of this agent will Evelyn use during June July August?
Answer:
180 litres
Step-by-step explanation:
Quart: 1.1 litre
3 quarts used every 1 time its cleaned
cleaned 5 times 1 month
5 x 3=15
12 months in a year 15 x 12 = 180
What is the second term in the binomial expansion of (2x−3y)12 ?
Recall the binomial theorem:
Group of answer choices
73728x11y1
−73728x11y
−608256x10y2
608256x10y2
The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
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In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million
Step-by-step explanation:
5 million SUVs are 25% of the total number of vehicles.
0.25x = 5,000,000
x = 20,000,000
Answer: 20 million
The question is an illustration of proportions.
A total of 20 million vehicles were looked into
The proportions are given as:
[tex]SUV = 25\%[/tex]
[tex]Trucks= 10\%[/tex]
Let the total number of vehicles be v.
The number of SUVs is given as 5 million.
So, we have:
[tex]SUV = 25\% \times v[/tex]
Substitute 5 million for SUV
[tex]5\ million= 25\% \times v[/tex]
Express the percentage as decimal
[tex]5\ million= 0.25 \times v[/tex]
Divide both sides of the equation by 0.25
[tex]20\ million = v[/tex]
Rewrite the equation as
[tex]v =20\ million[/tex]
Hence, 20 million vehicles were looked into
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Convert the following equation into Slope Intercept Form "y=mx+b".
y-7=1/3(x+15)
Answer:
Slope = 0.667/2.000 = 0.333
x-intercept = 36/-1 = -36.00000
y-intercept = 36/3 = 12
Step-by-step explanation:
3x-2y=4
2x+3y=7
X=?
Y=?
Plz step by step
Answer:
x= 2
y= -1
Step-by-step explanation:
Simultanous equation(elimination method)
STEP 1: multiply the number near x with the opposite equation.
in this case in equation 1, three is near x so u multiply it with the second equation.
2(3x-2y=4)
3(2x+3y=7)
you get 6x-4y=8
6x+9y=21
STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign
6x-4y=8 <-------- 1st equation
6x+9y=21 <-------- 2nd equation
SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21
STEP 3: Now do the elimination part and calculation
+6x-4y=8
-6x-9y= -21
___________
0x-13y= 13
NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE
STEP 4: Solve for y
now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y
-13y= 13
y= 13/-13
y= -1
STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation
ORIGINAL EQUATION: 3x-2y=4
3x-2(-1)=4
3x-2=4
x= 6/3
x= 2
NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER
Answer:
x=2, y=1
Step-by-step explanation:
3x-2y=4
2(3x-2y)=2(4)
6x-4y=8
2x+3y=7
3(2x+3y)=3(7)
6x+9y=21
6x+9y-(6x-4y)=21-8
6x+9y-6x+4y=13
13y=13
y=13÷13
=1
3x-2y=4
3x-2(1)=4
3x=4+2
=6
x=6÷3
=2
Hence, x=2 and y=1.
Solve algebraically for x 3600 + 1.02x < 2000 + 1.04 x
Answer:
x>80000
Step-by-step explanation:
3600+1.02x<2000+1.04x=x>80000
Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?
if your monthly salary is $1,015.00 what percentage of your monthly salary is used on paying your rent.
Rent: $443.50
Answer:
43%
Step-by-step explanation:
443.50 divided by 1015 is 0.43 when rounded; 0.43 as a fraction is 43%. So therefore, the answer is 43%.
For a standard normal distribution, find:
P(z < 2.51) =
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
Mr. Braun has $75.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $9.00 each and the drinks cost $0.75 each. Five times as many drinks as pizzas are needed. What is the maximum
number of pizzas that Mr. Braun can buy?
The maximum number of pizzas that Mr. Braun can buy is 5.
The equation that can be used to represent the total amount spent on soda pop and pizzas is:
$75 = 5x($0.75) + x($9)
Where:
x = number of pizzas that can be bought5x = total number of drinks that can be boughtIn order to determine the number of pizzas that can be bought, we have to solve for x
$75 = 3.75x + 9x
$75 = $12.75x
x = $75 / 12.75
x = 5.88
If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:
6($9) + 30(0.75) = $76.50
If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:
5($9) + 25(0.75) = $63.75
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SOMEBODY PLEASE HELP ME!!!!!!!
Solve each system of equations
-3x + 3y =4
-x + y =3
West Company borrowed $48,000 on September 1, Year 1 from the Valley Bank. West agreed to pay interest annually at the rate of 9% per year. The note issued by West carried an 18-month term. Based on this information the amount of interest expense appearing on West's Year 1 income statement would be:
Answer:
$1,440
Step-by-step explanation:
Given:
Borrowed amount by west company from valley bank = $48,000
Interest is paid annually = 9% per year
Time period = From 1st September to 31st December
= 4 months
The note issued by West carried an 18-month term.
Therefore,
Interest expense = Principal amount × Rate × Time period
= $48,000 × 9% × (4 ÷ 12)
= $48,000 × 0.09 × (1 ÷ 3)
= $1,440
Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.
Consider the equation 2b = a. Solve the equation for b.
Answer:
b = a/2
Step-by-step explanation:
Answer:
the coefficient of b is 1 so and 1*0 is 0
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80
