68.26 % of regular gasoline sold between $ 3.25 & $ 3.65.
What do you mean by the term standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean. the curve at the top is more dispersed and has a greater standard deviation than the curve at the bottom, which is more concentrated around the mean and has a lower standard deviation.
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QUESTION 1 1. The Geography club at a school collected empty cans of soft drinks for recycling for a period 20 school days. The number of cans collected was recorded and the data is given below: 48 50 52 59 60 68 73 76 76 76 78 79 80 81 82 82 84 91 92 98 1.1.calculate the average nunmber of the cans collected
1.2. Calculate the average number of the cans collected. Determine the median number of cans collected. Determine the lower and the upper quartiles. 1.3. 1.4. Represent the data in a box and whisker diagram. 1.5. Determine the range of the data. C ( au table underne
Answer:
Step-by-step explanation:
a starting lineup in a basketball consists of two guards, two forwards, and a center. a. a certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward. how many different starting lineups can be created? (hint: consider lineups without x, then lineups with x as guard, then lineups with x as foward.)
Different starting lineups can be created - 120+60+120=300. A certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward.
1. A lineup without x is an example. You must decide.
5 quards, 2 guards;two of the three forwards;from 4 centers, 1 center.It can be made as -
2C5 × 2C3× 1C4 = 10× 3×4 = 120 ways
2. Consider starting lineups with guard x. You must decide.
2 guards chosen from 6 quards (at least one of them must be x);two of the three forwards;from 4 centers, 1 center.1C5×2C3×1C4 = 5×3×4 = 60 ways
3. Think about lineups where x is the forward. You must decide.
5 quards, 2 guards;2 forwards from 4 forwards (x must be one of them);from 4 centers, 1 center.2C5×1C3×1C4 = 10×3×4 = 120 ways.
Therefore, total number different lineups is - 120+60+120=300.
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Identify the graph of f(x)=7-8x-x². Then identify the vertex and axis of symmetry.
WILL GIVE BRAINLIEST IF YOU EXPLAIN JOS TO SOLVE
Answer:
(see attached file)
vertex: (-4, 23)
axis of symmetry: x = -4
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
(i'm not the best at explaining things, but khan academy has some amazing math resources if you want to check it out)
A Paralelogram PQRS is rotated 90°
clockwise about the origin to create
paralelogram P'QRS:. Perform the
transformation then give the algebraic
representation.
Q
When we rotate a Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
P(x₁, y₁) ⇒ P'(y₁ , -x₁ )
Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )
R(x₃, y₃) ⇒ R'(y₃ , -x₃ )
S(x₄, y₄) ⇒ S'(y₄ , -x₄ )
The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.
A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.
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gragh the linear equation. find three points to solve the equation ,then plot on the gragh . -3x+2y=2
The attached below is the graph and the three points to solve the equation is (0,1) , (1,5/2) and (-1,-1/2)
According to the question the equation that we have been given is
-3x + 2y = 2
We need to graph the linear equation. For this we will first put different values of x in the above equation and then find the values of y which will be the coordinates of the graph.
First put x = 0
-3(0) + 2y = 2
2y = 2
y = 1
hence the first coordinate is (0,1)
Similarly put, x = 1
-3(1) + 2y = 2
2y = 5
y = 5/2
when x= -1 then y = -1/2
Thus the three point or coordinates are (0,1) , (1,5/2) and (-1,-1/2) and below is the graph.
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Choose the inequality whose solution set is represented by this graph.
The correct option is option A , such that inequality is x - 3y < 5.
What are the inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
We know that the slope intercept form of equation is given by y = mx + c , where m is the slope and c is the y - intercept.
In the graph , the upward sloping line has x and y intercepts of 5 and -3.
So its equation in slope intercept form is given by ,
- 3y = - x + 5
And the inequality with that boundary line is given by ,
- 3y < - x + 5
or
x - 3y < 5
Therefore , the inequality represented by graph is x - 3y < 5 or option A is correct.
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Please please help, I really cant figure this out please I need help
Jamelle performs three separate determinations of the density of a mineral sample. She gets values of 4.58 g/cm3, 4.79 g/cm3, and 4.55 g/cm3.
Calculate the average value of the density of the mineral.
Answer:
Step-b 4.55 g/cmy-step explanation:
Use a related equation that has the variable on one side. Then simplify the other
side.
12n = 48
n = 60
n=36
n=4
n=1/4
Answer:
n=4
Step-by-step explanation:
12n/12 = 48/12 the n=4
n = 60
n=36
n=4
n=1/4
Which axis is triangle ABC reflected across?
Answer:
it reflects over the y axis
Step-by-step explanation:
why does it keep talking it down if its right
What is the least common denominator of 5/8 and 1/6
Answer:
24
Step-by-step explanation:
Equivalent fractions with the LCD
5/8 = 15/24
1/6 = 4/24
Which length in cm should be recorded for the red line in the figure above
Answer:
3 ins 2 cm
Step-by-step explanation:
I need help with this question.
The distance between the two points in the simplest radical form is √61
Distance between two pointsFrom the question, we are to determine the distance between the two marked points
The marked points are (-8, 6) and (-3, 0)
The distance, d, between two points can be calculated by using the formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²)
x₁ = -8
x₂ = -3
y₁ = 6
y₂ = 0
Thus,
The distance, d, between the points is
d = √((-3 - -8)² + (0 - 6)²)
d = √((-3 + 8)² + ( -6)²)
d = √((5)² + 36)
d = √(25 + 36)
d = √61
Hence, the distance between the two points in the simplest radical form is √61
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A baseball player hits a triple and ends up on third base. each side of length 25.740650945432 m, with home plate and the three bases on the four corners. what is the magnitude of his displacement?
The magnitude of his displacement is 77.221952836296 m
In this question,
A baseball player hits a triple and ends up on third base.
A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.
We need find the the magnitude of his displacement.
The magnitude of his displacement is the distance from home plate to the third base.
the distance from home plate to the third base is
= 3 × 25.740650945432
= 77.221952836296 m
Therefore, the magnitude of his displacement is 77.221952836296 m
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5x - 2x + x = 15 [x=3.75]
Answer:
many solutions
Step-by-step explanation:
15=15
A truck can be rented from company a for $110 a day plus $0.70 per mile, company b charges $80 a day plus $0.80 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same.
The number of miles for same rental costs are 300 miles.
Let the number of miles be x.
Firstly calculating the cost of Company a -
Total cost = One day cost + Number of miles × Cost per mile
Total cost = 110 + 0.70x
Calculating the cost of Company b -
Total cost = One day cost + Number of miles × Cost per mile
Total cost = 80 + 0.80x
Now, for the same rental cost, we will equate the two expressions. This will calculate the value of x.
110 + 0.70x = 80 + 0.80x
Rearranging the expression -
110 - 80 = 0.80x - 0.70x
Performing subtraction
30 = 0.10x
Shifting the values on other side of equation
x = 30/0.10
Performing division
x = 300
Hence, the rental cost for both companies will be same for 300 miles.
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Mariam read 4 books in 5 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
¼ per month or 2 books in 2½ months
Mariam read 4 books in 5 months, resulting in a rate of reading of 4/5 books per month.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
Mariam read 4 books
She read the books in 5 months
We need to find her rate of reading, in books per month
To find the rate of reading,
Divide the number of books read by the number of months it took to read them.
In this case, Mariam read 4 books in 5 months.
So, the rate of reading would be 4 books divided by 5 months.
Simplifying this fraction, we have 4/5,
Hence, Mariam's rate of reading is 4/5 books per month.
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If -x + 5y = 7 is a true equation, what would be the value of -2(-x + 5y)?
Answer:
-14
Step-by-step explanation:
If u put x+5y into -2(-x+5y)
Add all that up
-2(x+5y) =(-2) (7) = -14
WILL GIVE 14 POINTS AND BRAINLIEST IF ANSWERED PROPERLY WITH NO SPAM
Answer:
B, C, A
Step-by-step explanation:
B, C, A
Approximately what is the circumference of the pizza? (Use pi = 3.14)
Inner to outer is 24 cm
I’m not sure but I think it’s 8 in.; 50.27 in.
If 3x=12, then x=4 What property is it
Answer:
correct
3x4=12
Step-by-step explanation:
What is the rate of change of the area of a circle with respect to the radius when the radius is 4 in?
The rate of change of the area of circle with respect to radius is: 8π.
What is the rate of change of a function?The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.
Now,
Area of a circle having radius (=r) is given by: A = πr²
The rate of change of area of the circle will then be given by:
[tex]\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)[/tex]
For r = 4, [tex]\frac{dA}{dr}=2\pi(4)=8\pi[/tex]
Hence, the rate of change of area of the circle when the radius is 8π.
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company A rents copiers for a monthly charge of $90 plus 6 cents per copy. Company B rents copiers for a monthly charge of $180 plus 3 cents per copy. What’s the number of copies above which company As charges are the higher of the two ?
By using athematic operations, we get the cost of the company A's 3000 copies is greater than that of the other two.
What are arithmetic operations?
The arithmetic operator is used to carry out mathematical operations on the specified operands, including addition, subtraction, multiplication, division, and modulus. A few examples of arithmetic operators are as follows: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.
Given that:
Copier rentals from company A cost $90 per month + 6 cents every copy and
Copier rentals from company A cost $180 per month + 3 cents every copy
Let the number of copies be x
Total rents for a month of Company A [tex]= 90+0.06x[/tex]
Total copiers rents for a month of Company B [tex]= 180+0.03x[/tex]
Total rents for a month of Company A = Total copiers rents for a month of Company B
⇒[tex]90+0.06x= 180+0.03x[/tex]
Taking unknown value left side
[tex]0.06x-0.03x=180-90\\0.03x=90\\x=\frac{90}{0.03} \\x=3000[/tex]
Therefore, by using athematic operations , we get the cost of the company A's 3000 copies is greater than that of the other two.
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what is the image of the point (4,-8) rotated 90 degrees counterclockwise
Answer:
(8,4)
Step-by-step explanation:
The rule is (x,y) becomes (-y,x)
Find the perimeter of triangle ABC rounded to the nearest whole number. A (-1,4) B (2,2) and C (-2,-1)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{2}) ~\hfill AB=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 2- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 3)^2 + ( -2)^2}\implies \boxed{AB=\sqrt{13}} \\\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ -2- 2~~)^2 + (~~ -1- 2~~)^2}[/tex]
[tex]~\hfill BC=\sqrt{( -4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -1- (-2)~~)^2 + (~~ 4- (-1)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (5)^2}\implies \boxed{CA=\sqrt{26}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{\sqrt{13}~~ + ~~5~~ + ~~\sqrt{26} ~~ \approx ~~ \text{\LARGE 14}}[/tex]
I NEED HELP ASAP PLSS
Step-by-step explanation:
2)4(5x+6)
3)a)its 4x not 16x because 2x+ 6x is 8x and 8x-4x=4x
b)2x+6x-4x=15+12-3
4x=24
x=24/4=6
that's all I can answer
write the answer in the simplest form 2/3 x 4/7
Answer:
the answer is 8/21
Step-by-step explanation:
to be sure that it's right 21 can't be divided by 8 and the two numbers don't have an LCD ( Least Common Denominator )
what's the differences between indirect and direct object? and can i get an example plss
Answer:
Step-by-step explanation:
A direct object is the object in which the verb is acting on. For example, in the sentence “He sold his car,” “car” is a direct object. An indirect object is the recipient of the direct object, as in “The man gave his wife a necklace.” “Necklace” is the direct object, and “wife” is the indirect object
PLEASE HELP !!!!
Using the segment addition postulate, find the value of x.
JK = 3x - 4
KL = 5x + 6
JL = 9x - 8
A. 4
b. 10
c. 18
d. 2
==============================================
Work Shown:
JK + KL = JL
(3x-4) + (5x+6) = 9x-8
(3x+5x) + (-4+6) = 9x-8
8x+2 = 9x-8
8x-9x = -8-2
-x = -10
x = 10
---------------------------------------
Check:
JK = 3x - 4 = 3(10)-4 = 26KL = 5x + 6 = 5(10) + 6 = 56JL = 9x - 8 = 9(10) - 8 = 82JK + KL = 26 + 56 = 82 = JL
Therefore, the answer is confirmed.
A toy car was kicked toward the target. the horizontal component of velocity was 8 m/s and the vertical component was 6m/s. calculate the magnitude of the resultant velocity of the soccer ball.
The magnitude of the resultant velocity of the soccer ball is 10 m/s .
Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component of velocity be [tex]V_{y}[/tex].
The magnitude of the resultant velocity will be represented by V.
So, we can write
The horizontal component of velocity = [tex]V_{x}[/tex] = 8 m/s
The vertical component of velocity = [tex]V_{y}[/tex] = 6 m/s
The relation between horizontal component, vertical component and resultant velocity is,
[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]
On substituting value of horizontal component and vertical component, we get
[tex]V^{2}[/tex] = [tex](8)^{2} + (6)^{2}[/tex]
[tex]V^{2}[/tex] = 64 + 36
[tex]V^{2}[/tex] = 100
V = [tex]\sqrt{100}[/tex]
V = 10 m/s
The magnitude of the resultant velocity of the soccer ball is 10 m/s .
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Number 9. of algebra
Answer:
10. 4x
11. r - 7
Step-by-step explanation:
10.
"a number" refers to any number. Since we don't know the specific number, we use x, a variable, to represent "a number." Then we multiply x by 4.
Answer: 4x
11.
When you decrease a number by 7, you are subtracting 7 from that number.
Answer: r - 7