Answer:
[tex]\bar x =2.53[/tex] -- Mean
[tex]Median= 2[/tex]
[tex]Mode = 2[/tex]
[tex]Range = 8[/tex]
[tex]Q_1 = 1[/tex]
[tex]Q_3 = 3[/tex]
[tex]IQR = 2[/tex]
Step-by-step explanation:
Given
n = 30
Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3
Solving (a): The mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}[/tex]
[tex]\bar x =\frac{76}{30}[/tex]
[tex]\bar x =2.53[/tex]
Solving (b): The median
First arrange the given data
Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9
[tex]Median =\frac{1}{2}(n+1)[/tex]
[tex]Median =\frac{1}{2}(30+1)[/tex]
[tex]Median =\frac{1}{2}(31)[/tex]
[tex]Median = 15.5th[/tex]
This implies that the median is the average of the 15th and 16th item
[tex]Median = \frac{2+2}{2}[/tex]
[tex]Median = \frac{4}{2}[/tex]
[tex]Median= 2[/tex]
Solving (c): The mode
From the given data; 2 has the highest frequency of 11.
So,
[tex]Mode = 2[/tex]
Solving (d): The Range
[tex]Range = Highest\ Data - Lowest\ Data[/tex]
The highest is 9 and the lowest is 1,
So:
[tex]Range = 9 - 1[/tex]
[tex]Range = 8[/tex]
Solving (e): Lower (Q1) and Upper (Q3) quartile.
Q1 is calculated as:
[tex]Q_1 = \frac{1}{4}(n+1)th[/tex]
[tex]Q_1 = \frac{1}{4}(30+1)th[/tex]
[tex]Q_1 = \frac{1}{4}(31)th[/tex]
[tex]Q_1 = 7.75th[/tex]
[tex]Q_1 = 8th\ item[/tex]
[tex]Q_1 = 1[/tex] -- from the arranged data
Q3 is calculated as:
[tex]Q_3 = \frac{3}{4}(n+1)th[/tex]
[tex]Q_3 = \frac{3}{4}(30+1)th[/tex]
[tex]Q_3 = \frac{3}{4}(31)th[/tex]
[tex]Q_3 = 23.25th[/tex]
[tex]Q_3 = 23rd\ item[/tex]
[tex]Q_3 = 3[/tex] -- from the arranged data
Solving (f): The interquartile range (IQR)
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 3-1[/tex]
[tex]IQR = 2[/tex]
simplify the ratio of 55/121
Answer:
Thus, 5/11 is the simplified fraction for 55/121 by using the GCD or HCF method. Thus, 5/11 is the simplified fraction for 55/121 by using the prime factorization method.
I hope it's helpful!
is 8.2 and 5.15 proportional
please help it’s due!!!
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33
6+8 times x please anwserrrr
Answer:
2(3+4x)
Step-by-step explanation:
F(x)=2x^3-3x^2+7 f(-1)=
Answer:
f(x)=6x^2-6x
Step-by-step explanation:
-3/10 + 5/20
Simplify if needed etc
Brainliest
Answer:
-1/20
look at the pic i have sent you, this might help you!
aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2
Answer:
a:b = 100:1
Step-by-step explanation:
Given:
a is 100% more than b
Find:
a:b
Computation:
Assume;
Common multiply = p
So,
b = p
a = 100P
a:b = 100p : p
a:b = 100:1
what is 3333 x 33 x 23 - 908
Answer:
2528839
Step-by-step explanation:
your welcome
two sixth times five
Answer:
1 4/6
Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6
DASAROLLA:
a) (x+3) (x+5)=
b) (x+4) (x-5)=
Answer:
a)[tex]x^{2}[/tex]+8x+15
b)[tex]x^{2}[/tex]-x-20
Step-by-step explanation:
a) (x+3)(x+5)
a)[tex]x^{2}[/tex]+5x+3x+15
a)[tex]x^{2}[/tex]+8x+15
b) (x+4)(x-5)
b) [tex]x^{2}[/tex]-5x+4x-20
b)[tex]x^{2}[/tex]-x-20
Please help with this math question
BRAINLIEST AND STARS
4)
Suppose a circle has a diameter of 20 inches. What is its radius?
A)
400 in
B)
40 in
C)
20 in
D)
10 in
Answer:
D
Step-by-step explanation:
HELP PLEASE! giving brainliest What would be the slope of a line parallel to the line below
HELPPP DUE VERY SOON ILL GIVE BRAINLESS
Answer:
b
Step-by-step explanation:
A Ferris wheel has a radius of 48 feet. What is the distance a passenger will travel one time around the Ferris wheel?
96.0 feet
150.8 feet
301.6 feet
603.2 feet
HURRY PLEASEE
✿✿✿✿✿✿
how many solutions does 3-2x=5-x+3
Answer:
x-2x=5+3-3
-x=5
x=-5
Step-by-step explanation:
That's the answer
If the probability of an event is
and there are 28 total outcomes, how many favorable outcomes are there?
0 1
04
07
O 28
PLEASE ANSWER AND HURRRRRRY
Answer:
uhhh 28
Step-by-step explanation:
cuales son los divisores de 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Answer:
1,2,3,4,5,6,12 esos son
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
Bumper Cars:
6 minutes: 8 tickets
8 minutes:12 tickets
Which one gives you more time for your money?
Answer:
The option of 6 minutes with 8 tickets given more time for the money.
Step-by-step explanation:
Which one gives you more time for your money?
We have to find the time per ticket, which is the number of minutes divided by the number of tickets.
6 minutes: 8 tickets
6/8 = 0.(60/8) = 0.75 minutes per ticket.
8 minutes:12 tickets
8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.
So the option of 6 minutes with 8 tickets given more time for the money.
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
24 biros
Step-by-step explanation:
12.50 naira = 1 biro
300 ÷ 12.50 = 24 biros
Answer:
24
Step-by-step explanation:
It's a ratio problem
Let B is Biro and N naira
B : N
1 : 12.5
x : 300
then x = 300 * (multply) 1 /12.5 = 24
I hope this is helpful to you
Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?
I need help on this question!??
Answer:
The only thing you will do is to plug the x in the equation.
x = -2 ---> f(x) = -6
x = 0 ---> f(x) = 0
x = 3 ---> f(x) = 9
x = 7 ---> f(x) = 21
f(x) = 3x
f(-2) = 3(-2)
f(-2) = -6
f(0) = 3(0)
f(0) = 0
f(3) = 3(3)
f(3) = 9
21 = 3x
21 / 3 = 3x / 3
7 = x
Hope this helps, thank you :) !!
Find the slope of tangent line at (1,-1.5)
Answer:
The slope of the tangent m = -0.0833
Step-by-step explanation:
Step(i):-
Given that the curve
x y - 2y² + x² = -5 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]
[tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]
[tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]
[tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]
Step(ii):-
The slope of the tangent
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]
m = [tex]\frac{-2+1.5}{1+6}[/tex]
[tex]m = \frac{-0.5}{6} = -0.083[/tex]
The slope of the tangent m = -0.0833
If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.
Answer:
b has 79,775 million
a has 241,275 million
Step-by-step explanation:
a has more than b
b+161,500 is a
b=b
b+b+161,500=321,050
2b=321,050-161,500
2b=159,550
b=159,550/2
b=79,775
a=b+161,500
a=79,775+161,500
a=241,275
You earn 3.5% commission as a car salesperson. If your sales for the month of February amount to $42,500, how much commission pay should you earn?
Answer:
$43987.50
Step-by-step explanation:
3.5% of $42,500 is
(3.5 x 42500):100 = $1487.5
So, add that number onto the price of the sales from feb.
nmqlwmqlqmwmwmmwmqmmqm
Answer:
nmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqm
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
y - x = 28
y + x + 156
Answer:
I think is −
2
3(9y+52)
Step-by-step explanation:
