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.
Learn more about Mean absolute deviation here:
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16. Mr. Cho owes the bank $120. He borrows money to buy 12 coffees at
$1.25 each for the all the math teachers. How much does he owe now? *
Answer:
$135
Step-by-step explanation:
120+(12*1.25)
120+15
135
Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
a. Write a system of equations to represent the relationships between the
number of nickels n, the number of dimes d, and the dollar amount in
this situation.
Answer:
[tex]\begin{cases}n+d = 27\\0.05n+0.10d = 2.75\\\end{cases}[/tex]
====================================================
Explanation:
n = number of nickels
d = number of dimes
The n and d are placeholders for positive whole numbers.
Since we have 27 coins, we know that n+d = 27. The two subcounts must add to the grand total of 27. That explains how the first equation is set up.
The second equation is set up by looking at the dollar amount each group of coin brings in.
0.05n = amount of money in dollars the nickels bring in
0.10d = amount of money in dollars the dimes bring in
0.05n+0.10d = total amount of money in dollars = 2.75
The single curly brace to the left of the equations tells the reader we're dealing with a system of equations. The equations are tied together.
4.0plsss help, will give brianlist
Answer:
side HG would be proud of the side EF and parallelogram EFGH
Parallelogram A and B are similar. What is the scale factor from rectangle A to B? 12 2 5 А B 4.8
Answer:
i dont get it
Step-by-step explanation:
Find the difference.
678-595.8
Answer:
82.2
Step-by-step explanation:
The difference is subtracting:
678 - 595.8 = 82.2
Answer:
82.2
Step-by-step explanation:
Check the image below.
NEEDS HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?
Answer:
134
Step-by-step explanation:
So assuming x is the score on the computer science exam, it would take 300*0.32+x=500*0.46=230 to get x=134
Choose the system of inequality's that matches the graph
A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal
sections: 2 premium sections and 10 standard sections. A seat at the premium section
costs $48 per game. A seat at the standard section costs $27 per game.
1. How many seats are there in each section?
2.
If there are 35 seats in each row, how many rows are in each section?
3.
If all the seats in the premium section are sold out for a game, how much will the
stadium get from those ticket sales?
Answer:
omg so many Q's
Step-by-step explanation:
HELP!?!?!?! I can't figure this out
Answer:
So, I believe n/2 may be even and 3n+1 is odd. They succumb to 3n if that helps.
Step-by-step explanation:
I'm not certain on what to do but I hope this helps some what.
On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
Answer:
The answer is A
Step-by-step explanation:
A is equal to the amount of students that were absent.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/28
Step-by-step explanation:
[tex] \frac{1}{4} + \frac{4}{7} = \frac{7 + 16}{28} = \frac{23}{28} \\ 1 - \frac{23}{28} = \frac{5}{28} [/tex]
What do you already know about credit cards?
Answer:
A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.
Step-by-step explanation:
g(n) = 2n + 3
h(n)=n-1
Find (g•h)(n)
Answer:
Step-by-step explanation:
g(n) = 2n + 3
h(n) = n − 1
(g * h)(n) = g(h(n))
= g(n − 1)
= 2(n − 1) + 3
= 2n − 2 + 3
= 2n + 1
Olivia typed 36-word paragraph in 2/3 minute. what is her typing speed, in words per minute?
Answer:
Olivia typed speed per minutes is 54 words
Step-by-step explanation:
Given:
Olivia typed 36 word in 2/3
Solution:
By Unitary method, calculate the speed of typing by Olivia as-
2/3 Minutes → 36 Words
1 Minutes → 36 ÷(2/3) Words
1 Minutes → 36x3÷2 Words
1 Minutes → 54 Words
Therefore Olivia typed speed is 54 word.
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]
can somebody please help me asap
A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If the height of the bounce follows geometric progression, find the general term that represent the situation in term of k. [2 marks] Hence, if the ball dropped from a height of 235ft, determine i. the highest height achieved by the ball after six bounces ii. the total distance travelled by the ball when it strikes the ground for 12th time [2 marks] [3 marks b) The number of cell double after each process of cell division every 2 hours. If there are 120 bacteria initially, how many bacteria will be there after one and half day? [4 marks]
The movement of the ping pong ball follows a exponential progression.
The expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]The height after the 6th bounce is 41.82 ftThe total distance after the 12th bounce is 1584.84ft.There will be 31457280 bacteria after a day and a half.1. Ping pong ball
The given parameters are:
[tex]\mathbf{a = 235}[/tex] --- the initial height
[tex]\mathbf{r = 75\%}[/tex] --- the common ratio
(a) The expression after bouncing k times
To do this, we make use of
[tex]\mathbf{T_n = a \times r^n}[/tex]
So, we have:
[tex]\mathbf{T_n = 235 \times (0.75)^n}[/tex]
In this case; k = n.
So, the equation becomes
[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
Hence, the expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
(b) The height after bouncing 6 times
This means that k = 6.
So, we have:
[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
[tex]\mathbf{T_6 = 235 \times (0.75)^6}[/tex]
[tex]\mathbf{T_6 = 41.82}[/tex]
Hence, the height after the 6th bounce is 41.82 ft
(c) The total distance after the 12th bounce
First, we calculate the total height after the 12th bounce using:
[tex]\mathbf{S_k = \frac{a(1 - r^k)}{1 - r}}[/tex]
So, we have:
[tex]\mathbf{S_k = \frac{235 \times (1 - 0.75^{12})}{1 - 0.75}}[/tex]
[tex]\mathbf{S_k = \frac{235 \times (0.968)}{0.25}}[/tex]
[tex]\mathbf{S_k = 909.92}[/tex]
So, the total distance is:
[tex]\mathbf{Distance = 2 \times S_k - a}[/tex]
[tex]\mathbf{Distance = 2 \times 909.92 - 235}[/tex]
[tex]\mathbf{Distance = 1584.84}[/tex]
Hence, the total distance after the 12th bounce is 1584.84ft.
(2) Cell division
The given parameters are:
[tex]\mathbf{r = 2/2hr}[/tex] --- rate
[tex]\mathbf{a = 120}[/tex] --- initial number of cells
[tex]\mathbf{t = 18}[/tex] --- number of 2 hours is a day and a half
So, the number of bacteria is:
[tex]\mathbf{T_t = ar^t}[/tex]
This gives
[tex]\mathbf{T_t = 120 \times 2^{18}}[/tex]
[tex]\mathbf{T_t = 31457280}[/tex]
Hence, there will be 31457280 bacteria after a day and a half.
Read more about exponential functions at:
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Ratio from boys to girls is 2:3. There are 300 fatal kids in the school. How many boys are in the school?
Answer:
180
Step-by-step explanation:
2:3 = 300
2x +3x = 300
5x = 300
x = 300/5
x= 60
2X60= 120 (girls)
3X60= 180 (boys)
if u want to to check whether the ans is correct then try adding your outcomes 120+180 that is = 300 . so the correct ans is 180.
find the value of 3x^3y-2xy^2 when x=3 and y=-2
Answer:
sorry I don't remember bye I will try to remember
What is the measure of <1
Answer:
43
Step-by-step explanation:
274 would be absurd and 83 would be close to a right angle which that angle is no where near. It looks like half a right angle meaning 45 and 43 is the closest to that so I think its 43
help pls don't get it wrong I have an election tmr to see if I have good grades pls help
BTW,,
[tex]join \: bunny \: squad[/tex]
[tex]just \: comment \: if \: you \: want[/tex]
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Answer:
pls mark my brainliest because you didn't wriitten coorect question
Step-by-step explanation:
Which graph shows a system with one solution?
Explanation:
A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)
Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.
Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)
8/3 * (-2 1/2) the product is
Answer:
-28
Step-by-step explanation:
You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D
Please help do # 2 hurry!!! Will give brainliest
Answer:
2a) because they are continuous lines that don't intercept
Step-by-step explanation:
Answer:
2a) They all have the slope of 2x.
2b) R) y = 2x-3
2c) R is the lowest line because the b value (-3) has the least value out of the 3 choices.
Iskandar had 2433 marbles. He had 3 times as many marbles as Bruce. Tim had 235 fewer marbles than Bruce. How many marbles did Tim and Bruce have altogether?
I'll give you 10 pts if you give me the correct answer!
fill in the blank (Geometry B)
Step-by-step explanation:
ratio
to
sind = d/e
sinf = f/e
Need help with this...pronto..please
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
SHOW WORK. Algebra question. 100 POINTS. Easy
Answer:
D. -1 < x < 3Step-by-step explanation:
The given function is negative between the x - intercepts -1 and 3.Your choice is correct.Answer:
D. -1 < x < 3
Step-by-step explanation:
The given function is negative between the x - intercepts -1 and 3.
Your choice is correct.