Answer:
<2 and <8 is alt interior angles, 3 and 5 are also alt interior angles, 1 and 7 are alt exterior angles, 1 and 5 are corresponding angles, 6 and 8 are vertical angles and 3 and 7 are corresponding angles
Step-by-step explanation:
(01.03 MC)
The Kelly school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table below, where Min represents the fewest days attended and Max represents the most days attended for a single student:
School
Min
Max
Range
Mean
Median
IQR
σ
High School M
128
180
52
141
160
55.5
41.5
High School N
131
180
49
159
154
48.5
36.5
High School P
140
180
40
153
165
32.5
31.5
Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)
Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically. (5 points) (10 points)
Answer:
a: School W is has the most consistent attendance
b: School W has the highest average attendance
Step-by-step explanation:
For a:
The most consistent school will be the school whose data has the smallest variance. *Consistent doesn't mean the best, it's just the least differing among it's own data. The variance tells us how spread out the data is, so the school with the smallest variance is the most consistent.
See photo 1 for the calculations of the variances of each school...
For b:
Take the mean for each school. Whichever has a higher value is the school with the highest average.
See photo 1 for the calculations if the means for each school. (the mean is used to calculate variance, so we will do this part first)
help me this is a little confusing for me and i need to be done with it by tomorrow
Answer:
p(r(-3)) = 114
Step-by-step explanation:
I assume you want help with just #4:
[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]
the triple of a number added to its half part is equal to the difference between four times the number and 12. What number is it
Answer:
24
Step-by-step explanation:
You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.
TranslationThe given relation can be expressed in math symbols as ...
3n +n/2 = 4n -12
Adding 12 -n/2, we get ...
12 = n/2
24 = n . . . . . multiply by 2
The number is 24.
The following equation has an error in one of the operations.
12(2x+6)+4(x+5)=5x−17
Which answer would correct the error?
A. Change 5x−17 to 5x+17.
B. Change 12(2x+6) to 12(2x−6).
C. Change (x+5) to (x−5).
D. Change +4(x+5) to −4(x+5).
The Correct change to make the Equation correct is Change (x+5) to (x−5).
The Correct option is (C).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
12(2x+6)+4(x+5)=5x−17
28x + 72= 5x-17
23x = 109
x= 4.73
First, change (2x+6) to 12(2x−6).
12 (2x - 6) + 4(x+5) = 5x- 17
24x - 72 +4x +20 = 5x- 17
28x -52 = 5x- 17
23x = 35
x= 1.52
Now, Change (x+5) to (x−5).
12 (2x + 6) + 4(x-5) = 5x- 17
24x + 72 +4x -20 = 5x- 17
28x + 52 = 5x- 17
23x = 69
x=3
Hence, Change (x+ 5) to (x-5).
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The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.
Answer:
r = 9.77205024 yds
Step-by-step explanation:
A photographer plans to frame photos that measure
7 inches long and 6 inches wide. Because his
frames are larger than the photographs, he will
make a mat of uniform width to fill the area between
the photograph and the frame.
Define a unit for each quantity in the worksheet.
Then enter a variable for the mat width and use
this variable to write expressions for the other
quantities.
A unit for each quantity in the worksheet for the mat width are 5.357 inches.
How is the area of a rectangle calculated?The size of a rectangle. A = l × b. Once the length and width are known for any rectangle, the area may be determined. The area of the rectangle is calculated as a square-unit dimension by multiplying length and width.
How do you determine the size of a rectangle frame?Add the height and the width together to get the area of a rectangle. Given that each side of a square is the same length, all you need to do to determine its area is multiply the length of one of its sides by itself.
Length = 7 inches
Width = 6 inches
Area of photograph = length width = 7 6 = 42
Total area of photograph and frame = 84
frame length ( 7 + 2x)
frame width ( 6 + 2x)
Total area = Total area of photograph and frame
( 7 + 2x) ( 6 + 2x) = 84
2 + 13x - 21 = 0
x = 5. 357
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Help meeeee pleaseeeee
Answer:
The missing side length is 12.
Step-by-step explanation:
Find the volume of the cone either enter an exact anwer in term of pi or ue 3. 14. For pie. R= 5 l=6
The volume of the cone is 50π cubic units .
What is a cone ?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
A cone has a circular base.
A cone has no edges, one face, and one vertex.
The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.
A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.
An oblique cone is one that doesn't have its apex precisely over the base's circle.
Radius of the cone = 5
Height of the cone is 6
Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.
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show that 2 1/3 x 3 3/4 = 8 3/4
Answer:
Step-by-step explanation:
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Multiple: 7/
3
* 15/
4
= 7 · 15/
3 · 4
= 105/
12
= 35 · 3/
4 · 3
= 35/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/
4
.
In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.
Compare: the result of step No. 3 vs 35/
4
= 35/
4
vs 35/
4
= 35 vs 35 = Yes
Answer:
Step-by-step explanation:
So if you do 2 * 1 you get 7
if you then do 12 * 69 you get 420
the answer is 8 3/4
*PLEASE HELP*
In circle K with angle JKL = 74°, find the angle measure of minor arc JL.
A) 148°
B) 44°
C) 37°
D) 74°
Answer:
option D
Step-by-step explanation:
Answer: D
Step-by-step explanation: my teacher said it was D.
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area.
Which set of dimensions will create a rectangle using all the rope Ashley has with her?
(When I took the test, I got it wrong so I am wondering which one is right)
70 m × 70 m
60 m × 10 m
55 m × 10 m
Answer:
60 m times 10 m
Step-by-step explanation:
So your answer is the second one!
Answer:
60 m × 10 m
Step-by-step explanation:
A) 2(14+10)=2(24)=48
B) 2(70+70)=2(140)=280
C) 2(60+10)=2(70)=140
This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?
You have $12 to spend at a vending machine. A pack of Starbursts cost $1 and a pack of M&M chocolates cost $2. You want to buy at least three packs of Starbursts.
a. Write a system of linear inequalities that represents this situation.
b. How many packs of each type of candy can you possibly purchase?
Answer:yes
Step-by-step explanation:
yes
Answer:
Starbursts = 12 dollars
M&M = 2 dollars
1. Make Startbursts and M&Ms into "x"
(a) 1x + 2x = 12
2. 3*1= 3
4+2x=12
(b) 4 packs
I need help with this please and thank you it’s due tomorrow
Answer:
x = 6
Step-by-step explanation:
The two triangles are similar so to find x we can use similarity ratio
x/18 = 8/24 cross multiply fractions
24x = 144 divide both sides by 24
x = 6
What is the number of terms in the expansion of 2x 3y 2 )( 2x 3y 2 2?
The number of terms in the expansion of [tex](2x^3y^2)(2x^2y^3)[/tex] is 12.
When expanding the product of two polynomials, the number of terms in the expansion is equal to the product of the number of terms in each polynomial. In this case, the first polynomial has 1 term (2x^3y^2) and the second polynomial has 1 term (2x^2y^3), so the number of terms in the expansion will be 1*1=1.
A polynomial function is one in which the variable's non-negative integer powers or positive integer exponents are the only parts of the equation. Examples of polynomial functions include quadratic, cubic, and other equations. An example of a polynomial with an exponent of 1 is 2x+5.
However, the expression provided is not a polynomial, it is a number.
[tex]2x^3y^2 * 2x^2y^3 = 4x^5y^5[/tex]
It is just one term.
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What are 5 ways to solve problems?
The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.
A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.
There are 5 different steps to solving a problem
Step 1. Identify the Problem
Step 2. Generate potential solutions
Step 3. Choose one solution
Step 4. Implement the solution you’ve chosen
Step 5. Evaluate results
Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.
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Which model shows 2 × 46 4 6 ?
Answer:
I don't see any models maybe you show attach a picture on the question
Step-by-step explanation:
2 points
Find the value of x. Round your answer to the nearest tenth. example of
answer: 3.1*
3.
7
9
Your answer
Step-by-step explanation:
if the question is to round 3.79 to the nearest tenth then here you go: *can't really grab you question, but....*
So, 3.79 to the nearest tenth would be 3.8
Why? How?
To round, you have to convert the farthest right value, which is 5 or higher, to one and add it to it's previous. So, 9 is higher than 5, could be 5, but can change to 1 and be added to it's previous 7 making 7 8, and that's how we get 3.8 (8 being the tenth of the decimal...hope I'm making sense. it's just the rules, how it works, and how I can explain it).
Hope you get it right and good luck :)
This my hope of passing please someone help me
Answer:
The answer is 3036.7
Have a great day
A company that makes rainbow-colored shoestrings gives bonuses to employees based on how many shoestrings an employee produces. If the employee meets the quota expressed by the inequality of , where s is the number of shoestrings produced and h is the number of hours worked, the employee is eligible for the bonus. Based on the following table, which of these is a reasonable statement?
helppppppppppppppppppppppppppppppppppppp
Answer: 527.79 m²
Step-by-step explanation:
formula is A = 2πrh + 2πr²
A = 2π x 4 x 17 + 2π x 4²
A = 527.79 m²
set an expression negative -4n +3+9n-4 is equivalent to 4N. What error did Maria likely make?
The error that Maria likely make is that she subtracted 1n from 5n.
How to infer the error?In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
The value of the expression will be:
= -4n +3+9n-4
= 5n - 1
The error was because 1n was minus from 5n
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What is a polynomial of zero?
All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.
Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.
Thus, a polynomial with a value of zero has no value.
A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.
A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.
Like this: 0x^2 + 0x + 0.
The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.
Real numbers are believed to be the domain, while 0 is the range.
The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.
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10,9, 23, 68, 70, 4, 12,4
What is the median for this set of numbers?
A 4
B. 11
c. 25
D. 66
E. 70
Answer:
i would say A because you have more of the 4 than anything else
Step-by-step explanation:
What is the value of x in 2 5 )= 14?
The value of x in 2(5x)=14 is 1 2/5.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
How to convert mixed fraction to improper fraction?When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.
2(5x) = 14
10x = 14
x = 14/10
Simplify the fraction, by turning it into a mixed number.
x = 1 4/10
Simplify the equation by dividing it by 2, so that it is in simplest form.
x = 1 2/5
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8)Tony bought a shirt for $40 and a second one at 50 percent off.
What was the total cost before taxes?
b) There was a 5 percent tax. How much did Tony pay in total?
Answer:
he paid 19 dollars
Step-by-step explanation:
first we subtract tax which is 2 dollars then we find 50%
HELPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPLEASEEEEEE
Answer: $49
Step-by-step explanation:
2.5% of 40 = 1, 9x1= 9, 40+9 = $49
PLS HELP URGENT!!!
.
.
.
.
.
.
.
Answer:
D.
Step-by-step explanation:
Answer: D is the correct answer
Step-by-step explanation:
I learned this last year and got a 100 on the subject
HELP 30 points need answer asap
Answer:
C)
Step-by-step explanation:
HELP I BEGGGGggggggg
Answer:
c = 25m + 40
Step-by-step explanation: