Answer:
Q1=0.5 Q3=6
Step-by-step explanation:
To find the quartiles, we first need to put the data set in order from smallest to largest:
−8, −5, −1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10
There are 14 data points, so the median is the average of the 7th and 8th numbers, which is (2+4)/2 = 3.
Now we divide the data set into two halves, the lower half and the upper half, not including the median.
Lower half: −8, −5, −1, 0, 0, 1, 2
Upper half: 4, 4, 5, 5, 7, 9, 10
To find the first quartile, we take the median of the lower half of the data set. There are 7 numbers in the lower half, so the median is the average of the 4th and 5th numbers, which is (0+1)/2 = 0.5.
To find the third quartile, we take the median of the upper half of the data set. There are 7 numbers in the upper half, so the median is the average of the 4th and 5th numbers, which is (5+7)/2 = 6.
Therefore, the first quartile is 0.5 and the third quartile is 6.
Could someone please help?
Answer:
25 gallons35 gallonsStep-by-step explanation:
You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.
SetupLet x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.
25(60 -x) +40x = 2025 . . . . total miles driven
SolutionSimplify the equation:
1500 +15x = 2025
15x = 525 . . . . . . . . . . subtract 1500
x = 35 . . . . . . . . . . divide by 15
60-x = 25 . . . . . gallons used by car 1
The first car used 25 gallons; the second car used 35 gallons.
__
Additional comment
The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.
The variables x and y have a proportional relationship, and y=5 when x=8
Which equation represents this relationship
A- y=8/5x
B- y=13x
C- y=5/8x
D- y=40x
Answer:
C y = 5/8 x
Step-by-step explanation:
y = kx
5 = k × 8
k = 5/8
y = (5/8)x
Be quick pleaase I will give brainleiets it you tell me
Answer:
True
False
False
True
False
Option 1 : 1/20 × 200
Option 3 : 10
Above options are only correct for the given question.
First of all, let us calculate the value of 5% of 200
⇒ 5/100 × 200 = 1/20 × 200 = 10
Now, check each option whether they give the same value i.e., 10.
Option 1 : 1/20 × 200
⇒ 1/20 × 200 = 10
Hence, the above expression is equivalent to 5% of 200.
Option 2 : 1/5 × 200
⇒ 1/5 × 200 = 40
Hence, the above expression is not equivalent to 5% of 200.
Option 3 : 1/2 ÷ 200
⇒ 1/2 ÷ 200 = (1/2) × (1/200) = 1/400
Hence, the above expression is not equivalent to 5% of 200.
Option 4 : 10
This option is correct as the value of 5% of 200 is 10.
Option 5 : 5
This option is incorrect as the value of given expression is 10.
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which number line shows the solution to the inequality?
Answer:
3rd point see explanation
Step-by-step explanation:
y-2<-5
y-2+2<-5+2
y<-3
HELP PLEASEE!!
What is the sum of -2x³ + x-3 and x³- 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³-3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.
Answer:
a) the result is -X³-2x -7
b) no
CAN YOU GUYS HELP ME PLESE TYYYY!!!
Answer:
3:4
Is the required answer
the question is below
Answer58
Step-by-step explanation:
Please help me ! i need this done now!
How many degrees is angle 7?
Answer:
42°
Step-by-step explanation:
This is defined as a transversal in geometry, where one line intersects two straight lines.
It is given that one of the angles is 42°. Let the angle that measure 42° be denoted as ∠42.
∠4 ≅ ∠42 based on the alternate interior angles theorem.
∠4 ≅ ∠7 based on the vertical angles theorem.
Therefore, ∠42 ≅ ∠7 based on CPCTC.
Therefore,
m∠7 = 42°.
~
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Rewrite each expression using the distributive property.then combine like terms if possible
2(x+3)-6(x+3)
Answer:
2x+6-6x-18
-4x-12
Step-by-step explanation:
Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.
help ty..:)))))))))............................................
Answer:
3 times more
Step-by-step explanation:
mangos: m = 108
portugals: p
oranges: o = 3p
108 + p + 3p = 540
108 + 4p = 540
4p = 540-108 = 432
p = 432/4 = 108
o = 3p = 3(108) = 324
324/108 = 3 there are 3 times more oranges than portugals
Answer:
1620
Step-by-step explanation:
540 X 3 = 1620
Calculate the volume of a cone with a height of 6 inches and a diameter of 6 inches.
Leave your answer in terms of PI
Answer: Volume ≈ 56.55
Step-by-step explanation:
56.54867 is the answer, but I rounded it. I hope this helped! :)
Answer:
18π cubic inches
Step-by-step explanation:
First, we need to find the radius of the cone, which is half of the diameter.
radius = diameter/2 = 6/2 = 3 inches
The formula for the volume of a cone is:
V = 1/3 × π × r^2 × h
where r is the radius of the base of the cone, and h is the height of the cone.
Substituting the values we get:
V = 1/3 × π × 3^2 × 6
V = 1/3 × π × 9 × 6
V = π × 18
40 PTS!!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
Answer:
27
Step-by-step explanation:
cut the shape into 3 rectangles and one square
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 3 = 9
4.5 + 4.5 + 4.5 + 4.5 + 9 = 27
Directions: Follow the instructions for the following inequalities.
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answer:
1. 504 < 1512
2. 12 > 0
3. -2 = -2
4. -1 < 2
Step-by-step explanation:
Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.
30 POINTS!! QUICK AND EASY
Which of the points plotted is closer to (−8, −5), and what is the distance?
A graph with the x-axis starting at negative 10, with tick marks every one unit up to 10. The y-axis starts at negative 10, with tick marks every one unit up to 10. A point is plotted at negative 8, negative 5, at negative 8, 6 and at 6, negative 5.
Point (−8, 6), and it is 11 units away
Point (−8, 6), and it is 14 units away
Point (6, −5), and it is 11 units away
Point (6, −5), and it is 14 units away
Answer:
Point (−8, 6), and it is 11 units away
Cooper was out at a restaurant for dinner when the bill came. His dinner came to $28. After adding in a tip, before tax, he paid $33.32. Find the percent tip.
Answer:
19%
Step-by-step explanation:
Percentage tip = (Tip/Dinner cost) x 100
Percentage tip = ($5.32/$28) x 100
Percentage tip = 0.19 x 100
Percentage tip = 19%
Therefore, Cooper gave a 19% tip on his dinner.
Answer: 19%
Step-by-step explanation:
Which is a correct classification for this triangle?
Responses
acute triangle
equiangular triangle
right triangle
obtuse triangle
Can someone please help me
I have a math test tomorrow about Quadratics and Translations. Can somebody give me an easy-to-understand summary of these key topics?
Transformations with quadratic equations (shift left, right, up, down, reflections, etc.), how to find the axis of symmetry and vertex by the equation, how to find domain and range from a graph, telling if its a quadratic equation by 1st and 2nd difference and anything else related. Also please help me because when creating tables with the equation, the negatives I struggle with for example: y=x^2-4x-6 and substituting -2 it gets super confusing. I WOULD GIVE OUT MORE POINTS but sometimes ppl put bad responses SO PLEASE HELP ME CORRECTLY!! THANK YOU SO MUCH!
Quadratic equations are polynomial equations of degree 2. They can be written in the form ax² + bx + c = 0, where a, b, and c are constants. The graph of a quadratic equation is a parabola.
Transformations involve shifting or reflecting the graph of a quadratic equation. The most common transformations are shifting the graph left or right (by adding or subtracting a constant from x), shifting the graph up or down (by adding or subtracting a constant from y), and reflecting the graph across the x-axis or y-axis.
How to explain the mathematical termsThe axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. The equation of the axis of symmetry for a quadratic equation of the form y = ax² + bx + c is x = -b/2a.
The vertex is the point on the parabola where it reaches its maximum or minimum value. The vertex of a quadratic equation of the form y = ax^2 + bx + c is (-b/2a, c - b²/4a).
The domain of a quadratic equation is the set of all real numbers for which the equation is defined. The range is the set of all possible y-values that the equation can take. You can find the domain and range of a quadratic equation by looking at its graph.
In recognizing quadratic equations, you can tell if an equation is quadratic by looking at the powers of the variables. A quadratic equation will always have a variable raised to the power of 2.
When substituting negative numbers into a quadratic equation, it can be helpful to use parentheses to avoid confusion. For example, to evaluate y = x² - 4x - 6 at x = -2, you would write y = (-2)² - 4(-2) - 6 = 16 + 8 - 6 = 18.
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please help me fast to please and if you get it right I will mark you as brainlyst and plut 15 poing please I beg you fast
Answer:1.5
Step-by-step explanation:
nathan buys 2 baseball tickets for 15 dollars each and 2 lunches for 3.50 how much money does he spend all together
Answer:
2*30=15+2*3.5=37%
Step-by-step explanation:
Answer:
He spends $37 each.
Step-by-step explanation:
If you add together the spent money then you get $37:
$30 + $7 = $37
Solve for r.
–142 = r − 953
r =
Answer:
811
explanation.
142=−953−142+953=−953+953
Select all of the terms that apply to the shape. // 50 points :) // ANSWER ASAP PLEASE!!
Answer:
Ok
Step-by-step explanation:
hexagon
regular polygon
Pentagon
Answer:
hexagon
Pentagon
Step-by-step explanation: :/
Alyssa plants 1/5 of a row in her garden every 2/3 of an hour.
How many rows does Alyssa plant per hour?
A-- 3 1/3
B-- 2/15
C-- 7 1/2
D-- 3/10
A certain brand of coffee costs $6.99 for 24.2 ounces. What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$____ per oz.
Answer:
B for alyssa : $0.29 per oz, or 29 cents per oz.
Step-by-step explanation:
find common denominator
1x3=3 5x3=15 so 3/15
2x5=10 3x5=15 so 10/15
To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.
please help. i dont understand
Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.
Could some on help me? Please.
Answer:
Step-by-step explanation:
Infinitely many.
The two equations are the same yet formatted differently. Because these lines will overlap each other, the answer is infinitely many.
I'll give 10 points to anyone who can answer the question.
Answer:1/30
Step-by-step explanation:
Mathematics 20 points!
Please Say A) B) C) D) as your answer
Answer:
Its B
Step-by-step explanation:
8x3x5 = 120
10x2x6= 120
Btw someone please answer my question
who here thinks radiodust from hazbin hotel is hot
Answer: I came here for math then I found this
Answer:
Sorry but NO
Step-by-step explanation:
PLEASE HURRYYY!!!! I WILL MARK BRAINLIEST IF IT'S RIGHT!!!
Simplify.
y⁵ · y³ ÷ y²
Step-by-step explanation:
Y^5 * Y^3 / Y^2 = Y ^(5+3 -2) = Y^6
Rewrite the division as a fraction.
[tex]\dfrac{y^5\times y^3}{y^2}[/tex]
Multiply y⁵ by y³ by adding the exponents.
[tex]\dfrac{y^8}{y^2}[/tex]
Cancel the common factor of y⁸ and y²
[tex]\bold{y^6}[/tex]