Solution :
Number Values (X) [tex]$\sum (X_i - \bar X)^2$[/tex]
1 121.5 193494.4144
2 138.9 178489.3504
3 155.7 164576.2624
4 172 151616.7844
5 172.9 150916.7104
6 196.5 133137.4144
7 202.3 128938.4464
8 202.7 128651.3424
9 334.5 51474.5344
10 504 3292.4644
11 563.7 5.3824
12 574.1 161.7984
13 935 139591.9044
14 952.6 153053.0884
15 3194.3 6932267.726
Total 8420.7 8509667.624
Mean [tex]$\bar X = \sum \frac{X_i}{n}$[/tex]
[tex]$=\frac{8420.7}{15}$[/tex]
= 561.38
Median :
[tex]$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$[/tex]value
= 202.7
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 202.7
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 198.82
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 1849.28
[tex]$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$[/tex]value
= 172
[tex]$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$[/tex]value
= 574.1
Therefore, the range = highest value - lowest value
= 3194.3 - 121.5
= 3072.8
Now the interquartile range = [tex]$Q_3-Q_1$[/tex]
= 574.1 - 172
= 402.1
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work
Answer:
12 ×$0.75 =$8.00
3.75 ÷ 5 = $1.33 a pound,
$1.33 × 12 = $15.96 so store A is offering the best rate.
It is found that Store B is offering the best unit rate for the bananas.
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .
Grocery Store B is selling 5 pounds of bananas for $3.75.
According to the question,
Store A is selling bananas 1/2 pound for $0.75 .
Therefore,
For one pound will be;
= 0.75/0.5
= 1.5
And store B is selling 5 pounds of bananas for; $3.75
Therefore,
One pound will cost;
3.75/ 5 = 0.75
Hence, Store B is offering the best unit rate for the bananas.
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The seventh-grade class is putting on a variety show to raise money. It costs $150 to rent the auditorium that they are going to use. If they charge $5 per ticket, how many tickets do they need to see in order to raise at least $750?
Answer:
180 tickets
Step-by-step explanation:
750 + 150 = 900 they will have to make
900/5 = 180 tickets
To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.
Given that,
Seventh-grade class is putting on a variety show to raise money.
The auditorium rental cost is $150.
Each ticket is priced at $5.
The goal is to raise at least $750.
Denote the number of tickets they need to sell as "x".
The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),
Which gives us 5x dollars.
Now since,
Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal
Therefore,
5x - 150 ≥ 750
Add 150 to both sides:
5x ≥ 900
Divide both sides by 5 to solve for x:
x ≥ 180
Since the seventh-grade class cannot sell a fractional number of tickets,
Hence,
They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.
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What is the mean of the following data set?
82, 100, 92, 66, 72, 96, 70, 88.
Answer:
83.25
Step-by-step explanation:
add all the numbers and divide by 8. 666/8 = 83.25
Answer:
83.25
Step-by-step explanation:
Mean = sum of all terms / number of terms
82+100+92+66+72+96+70+88 = 666
666 / 8 = 83.25
The figure is made up of a semicircle and a triangle, what’s the area of the figure?
Answer:
63.25 ft², use the formula then you can find the answer.
y = 2x + 4 and y = 3x
+ 2
Answer please I would appreciate it :)
Answer:
136 units²
Step-by-step explanation:
5x7=35
5x7=35
6x7=42
1/2(4)(6)=12
1/2(4)(6)=12
35+35+42+12+12=136
what is the slope of the line that passes through the points (5,9)and (-3,9).
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 9)
Point (-3, 9)
Step 2: Identify
x₁ = 5, y = 9
x₂ = -3. y = 9
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract: [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=0[/tex]Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?
it takes mrs. jordan 24 minutes to complete 12 questions.
if she completes each question in 1/2 a minute, then:
1/2 / 12 questions = 24 minutes.
Need help on this one thank u
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]
What is the probability of rolling a six on a fair die?
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a six,
let's use our ratio for the probability of an event.
number of favorable outcomes / total number of outcomes
Since only one side of a die has a six on on it, the number of favorable
outcomes for rolling a six is 1 and since there are six sides to a die and it's
equally likely that the die will landy on any of these sides, the total number
of outcomes is 6.
So the probability of rolling a six is 1/6.
Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
Find the pattern. What numbers come next?
61, 54, 47, 40,
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4,335 square feet. The width of the basement is
3/5 its length. What is the length of Louis's basement? The length is blank feet.
Answer:
The length of Louis's basement is 85 feet.
Step-by-step explanation:
The area of the basement, A = 4,335 square feet
The width of the basement is 3/5 its length.
Let length be l.
Width = (3/5)l
The area of the basement is given by :
[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]
So, the length of Louis's basement is 85 feet.
I need help please i really need it (14 points)
Answer:
point b
Step-by-step explanation
piont b can go to piont e
Answer:
B
Step-by-step explanation:
Go through each point and see which ones works:
24 = 2w - 10 Solve for w, simplify your answer as much as possible
Answer:
the answer is 17
Step-by-step explanation:
2w-10=24
10+24=34
34/2=17
so w=17
Answer:
w=17
Step-by-step explanation:
0.2 is x% of 2
please help me
Answer:
What is 0.2 percent of 2? = 0.004.
Answer:
x = 10%
Step-by-step explanation:
Simple: 2 divided by 0.2 equals 10.
If you multiply 0.2 by 10 you get 2.
Lemme know if you need me to elaborate!
Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.
The scale factor is 4.
Important information:
Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:From the given figure it is clear that:
DG = 2
D'G' = 8
The scale factor is:
[tex]k=\dfrac{D'G'}{DG}[/tex]
[tex]k=\dfrac{8}{2}[/tex]
[tex]k=4[/tex]
Therefore, the scale factor is 4.
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What is the value of x?
Answer:
x = 5.4
Step-by-step explanation:
3/x = 4/7.2
cross-multiply:
4x = 21.6
x = 5.4
help me pliss
which one is supposed to be correct?
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
Estimate √40 to the nearest tenth. *
A. 6.9
B. 6.3
C. 7.1
D. 5.7
there are 84 girls in grade 3.the boys are twice the numbers of girls. how many pupils are there in all in grade 3?draw a diagram.
Answer: 252
Step-by-step explanation:
You just multiply 84 by two and then ad another 84.
PLEASE HELP!!! Find the length of the missing side of the right triangle,
13 yd
Syd
A. 194 yd
B 13.93 yd
C. 144 ya
D. 12 yd
Answer:
12
Step-by-step explanation:
For these problems you should use the pythagorean theorem: a^2+b^2=c^2
In this case, 13=c and 5=a
so:
5^2+x^2=13^2
25+x^2=169
subtract 25 from both sides
x^2=144
√144=12
missing side=12
Help me please!!!!!!
Answer:
BStep-by-step explanation:
:)))))))))))))))))))The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)
Answer:
41
Step-by-step explanation:
A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?
Find the mean of first five prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6
Help me pls pls pls
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
sgnagngfanarmjmwramfanagdhndh
Given h(x) = -5x + 3, find h(5).
Answer:
h(5) = -22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -5x + 3
h(5) is x = 5
Step 2: Evaluate
Substitute in x [Function]: h(5) = -5(5) + 3Multiply: h(5) = -25 + 3Add: h(5) = -22Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!
Answer:
A. Obtuse isoscelesD. Right scaleneStep-by-step explanation:
Triangle 1This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°
Correct option is
A. Obtuse isoscelesTriangle 2This is right triangle and all sides have different lengths.
Correct option is
D. right scalene