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]
is 8.2 and 5.15 proportional
what is 3333 x 33 x 23 - 908
Answer:
2528839
Step-by-step explanation:
your welcome
Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?
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
6+8 times x please anwserrrr
Answer:
2(3+4x)
Step-by-step explanation:
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
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
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
F(x)=2x^3-3x^2+7 f(-1)=
Answer:
f(x)=6x^2-6x
Step-by-step explanation:
HELPPP DUE VERY SOON ILL GIVE BRAINLESS
Answer:
b
Step-by-step explanation:
please help it’s due!!!
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33
-3/10 + 5/20
Simplify if needed etc
Brainliest
Answer:
-1/20
look at the pic i have sent you, this might help you!
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 :) !!
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.
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
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!
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:
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:
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
nmqlwmqlqmwmwmmwmqmmqm
Answer:
nmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqm
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
Please help with this math question
y - x = 28
y + x + 156
Answer:
I think is −
2
3(9y+52)
Step-by-step explanation:
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
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
HELP PLEASE! giving brainliest What would be the slope of a line parallel to the line below
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.
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
