Answer:
y = (5/4)x - 5
Step-by-step explanation:
(0, -5) and (4, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 -(-5) 5
m = ------------- = ------------ = ---------
x₂ - x₁ 4 - 0 4
y - y₁ = m(x - x₁)
y -(-5) = (5/4)(x - 0)
y + 5 = (5/4)x - 0
-5 -5
----------------------------
y = (5/4)x - 5
I hope this helps!
Which expression is equivalent to −5 + 8 − 6x − 8x?
14x + 13
−14x − 3
−14x + 3
−14x + 13
[tex] = - 6x - 8x - 5 + 8 \\ = - 14x + 3[/tex]
The third option is the answer!!!
for f(x) = -2x+5, find the value of f(-1) + f(4)
Answer:
3 f
Step-by-step explanation:
(-1)+(4)
-+(4)
-+4
-f+4
-f+4
3
3
Which expression is equivalent to the algebraic expression 8k5∙9k−2(6k2)2, where there are no variables in the denominator?
2k−181
2k81
2k−1
2k
The expression is equivalent to the 360[tex]k^2[/tex] - 48k
Given the Expression :
8k5∙9k−2(6k2)2
It means
(8k × 5) × 9k - 2(6k × 2) × 2
Now, Multiply the monomials
360[tex]k^2[/tex] - 2(6k × 2) × 2
Again, Multiply the monomials,
= 360[tex]k^2[/tex] - 48k
Hence, The expression is equivalent to the 360[tex]k^2[/tex] - 48k
What is Monomial ?
A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with an single term but can have multiple variable and a higher degree too.
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1. Find the quotient of the averages prices of gold in 2010 and 1970. What
does the quotient mean?
Answer:
35.224137931
Step-by-step explanation:
2010: 1266.66
1970: 35.96
1266.66/35.96=35.224137931
Without the actual data for the average prices of gold in 2010 and 1970, I cannot provide the exact quotient. However, if we assume that we have the data, we can calculate the quotient by dividing the average price of gold in 2010 by the average price of gold in 1970. The resulting quotient would indicate how many times more expensive gold was in 2010 compared to 1970.
For example, if the average price of gold in 2010 was $1,500 per ounce and the average price in 1970 was $35 per ounce, then the quotient would be:
$1,500 / $35 = 42.86
This means that the average price of gold in 2010 was 42.86 times more expensive than the average price in 1970.
It is important to note that the actual quotient will depend on the actual data for the average prices of gold in 2010 and 1970.
Solve this system of equations by graphing. First graph the equations, and then type the solution.
Consider the first equation,
[tex]y=\frac{3}{2}x-2[/tex]This equation passes through (0,-2) and (2,1).
second
[tex]y=-\frac{1}{2}x+2[/tex]This equation passes through (0,2) and (4,0).
Now we can plot the points and join them to get the corresponding lines on the graph as,
It is observed that the two lines intersect at point (2,1).
So the solution to the given equations must be x=2 and y=1.
Solve the problem.
Find m so that x + 4 is a factor of 5x3+ 18x² + mx + 16
The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.
What is the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16?It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.
Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.
Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.
-320 + 288 - 4m + 16 = 0.
-16 - 4m = 0
4m = -16
m = -16/4
m = -4.
Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.
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Marks
Homework Progress
Adam has 18 counters.
He gives 10 of the counters to Lesley.
16/18 Marks
a) What fraction of the 18 counters does Lesley get?
Give your answer in its simplest form.
b) What fraction of the 18 counters does Adam have now?
Give your answer in its simplest form.
A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. The fraction of the counters that Lesley gets is 5/9.
What is meant by a fraction?A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
A fraction exists a quantity that exists not a whole number. In Math's, a fraction usually contains a numerator and a denominator.
The fraction of the counters that Lesley gets
= number of counters she gets / total number of counters
= 10/18 = 5/9
Therefore, the fraction of the counters that Lesley gets 5/9.
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Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (4t^2-5u)^2 This simplifies to: AnswerThe degree of our simplified answer is: Answer
The degree of our simplified answer is = 4
what is polynomials ?
Polynomials are sums of the terms of form k· x^ n, where k is any number and n is positive integers. polynomials are algebraic expression that consist of variable and coefficient. variables are also sometimes called Indeterminates
an example of polynomial with one variable is x^2+x-12.
so,
after expanding the identity (4t^2-5u)^2, it becomes:
16t^4+25u^2-40ut^2
as we know in case of polynomial highest degree from the polynomial is consider as the degree of that polynomial.
hence,
The degree of this equation is 4.
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Identify which is a function and which are not
Answer:(5,4) , (4,-2) , (-1,0) , (-2,-4)
Step-by-step explanation: Each input can only have one output
will give brainliest for correct answer
The correct approaches that can be used to solve the increase in area are
dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)The area of the circle has an estimated increment of 527.52 square mm
What are areas?The area of a shape is the amount of space on the shape
For all regular quadrilaterals, you multiply the side lengths to determine the area
How to determine the correct approach to the problem?From the question, the given parameters are:
Previous radius = 42
New radius = 44
Calculate the change in the radius
dr = New radius - Previous radius
Substitute the known values in the above equation
So, we have
dr = 44 - 42
Evaluate
dr = 2
The above method leads to a differentiation problem where dr = 2
So, the correct approaches to the problem include
dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)The change in the areaThe area of a circle is
A = πr²
Differentiate
d(A) = 2πr * dr
Where
r = 42
dr = 2
So, we have
d(A) = 2 * 3.14 * 42 * 2
Evaluate
d(A) = 527.52
Hence, the estimated increase in the area is 527.52 square mm
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Question 1
Scientists are studying the growth of a particular virus in a large community.
The case count, C, in the community after d days can be modeled with the equation: C =
181(1.07)d
What type of model is the equation?
O Linear Growth
O Exponential Growth
O Exponential Decay
O Linear Decay
Linear Decay is the equation .
What is Linear Decay?
A line with a negative slope can be used to model linear decline. for instance, that James now withdraws $10 every month from her piggybank, which originally held $100. The remaining balance in the piggybank can then be predicted using. A = 100 - 10t.Is linear decay exponential?
A linear function reduces the original number by the same amount each time, but exponential decay reduces the original amount by a constant percentage over time. Exponential decay differs from linear decay in this way: the decay factor depends on a percentage of the original quantity.Scientists are studying the growth of a particular virus in a large community.
The case count, C, in the community after d days can be modeled with the equation: C = 181(1.07)d
This equation is showing Linear Decay .
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11. Convert the following dry measurements.
a. 11 bushels to quarts
b. 3 pecks to pints
c. 97 quarts to bushels
d. 1,120 quarts to pocks
The conversion of dry measurements are:
a. 352 quarts
b. 48 pints
c. 3.03 bushels
d. 140 pecks
a. 11 bushels to quarts
32 quarts make up one bushel, which is a unit of dry volume.
1 bushel = 32 quarts
11 bushels = (32 × 11) quarts = 352 quarts
b. 3 pecks to pints
A peck, which equals 16 dry pints in imperial and American usage, is a unit of dry volume.
1 peck = 16 pints
3 pecks = 3 × 16 = 48 pints
c. 97 quarts to bushels
As we know, 1 bushel = 32 quarts
1 quart = 1/32 bushel
97 quarts = 97/32 ≅ 3.03 bushels
d. 1,120 quarts to pecks
A peck is an imperial and American customary dry volume measurement unit that is equal to 8 dry quarts.
1 peck = 8 quarts
So, 1 quart = 1/8 peck
1120 quarts = 1120/8 pecks = 140 pecks
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divide550six by 50six
The quotient of 550six and 50six is obtained by the calculation to be 11 six
What is the quotient?We know that the result that we obtain after we have carried out a division operation is called a quotient. In this case, we have been required to carry out the operation of division in base six.
We could start by converting the both values to base 10 as follows;
(5 * 6^2) + (5 * 6^1) + (0 * 6^0) = 180 + 30 + 0 = 210 ten
(5 * 6^1) + (0 * 6^0) = 30 + 0 = 30 ten
Then we carry out the division in base ten; 210 ten/30 ten = 7 ten
We convert back to base six to obtain 11 six
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At a benefit concert, eleven bands have volunteered to perform but there is only enough time for five of the bands to play. How many lineups are possible?
The number of ways that the line up can be possible when eleven bands have volunteered to perform but there is only enough time for five of the bands to play is 462 ways.
How to illustrate the information?Eleven bands have volunteered to participate in the charity concert, but there is only enough time for five of them to do so. This involves combinations and permutations, it should be highlighted.
Therefore, the number of ways that the line up can be possible will be:
n! / (n − r)!
where n is the number of things to choose from and we choose r of them
= 11! / (11 - 5)!5!
= 11! / 6!5!
= 462
There are 462 ways.
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Hey can you solve #2 for me please, I’ve been having trouble figuring out what I’m doing wrong.Can you apply the dilation “D” to the polygon with the given vertices
New coordinate are P(0,0) ,Q(-4,2) ,R(6,6)
What is coordinate plane ?A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X- and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two locations. The definition of a coordinate plane is as follows: A coordinate plane, also known as a rectangular coordinate plane grid, is made when the X-axis and Y-axis, two horizontal lines, cross.
Given that :P(0,0) , Q(-2,1) , R(3,3)
(x,y)→(2x,2y)
P(0,0)
Q(-4,2)
R(6,6)
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What is -2/5x + 3 = 2/3x + 1/3?
The value of x based on the given expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2
How to solve equation?- 2/5x + 3 = 2/3x + 1/3
collect like terms- 2/5x - 2/3x = 1/3 - 3
(-6 - 10)x / 15 = (1-9) / 3
-16/15x = -8/3
divide both sides by - 16/15x = - 8/3 ÷ -16 / 15
Multiply by the reciprocal of -15/16x = - 8/3 × -15/16
= (-8 × -15) / (3 × 16)
= 120 / 48
= 2 1/2
In conclusion, the solution to the expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2
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which equation shows the multiplication property of equality if n + 4 = 11
The equation D show the multiplication property of inequality if n+4 =11
What is inequality ?
inequality, When two numbers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order. Inequalities can be stated as either statements of fact in the form of theorems, which are solved using methods similar to those used to solve equations, or as questions. For instance, the triangle inequality states that the length of the remaining side is greater than or equal to the sum of the lengths of any two sides of a triangle. Many of these inequalities, including the Cauchy-Schwarz inequality, are used in the proofs of many of mathematical analysis' most significant theorems.
Sol-
If n+4 =11
Then by applying the product rule -
(n+4)×2 =11×2
So the correct option is D.
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im in a mega rush please help me fast
The equivalent expression of 2⁻³ / 2⁻⁵ will be 2².
Option A is true.
What is a mathematical expression?
Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is,
⇒ 2⁻³ / 2⁻⁵
Now, The rule of exponent is;
[tex]\frac{a^{x} }{a^{y} } \\a^{x} * a^{-y} \\a^{x+ (-y)} \\a^{x-y}[/tex]
Hence, Solve the expression by rule of exponent as;
The mathematical expression is,
⇒ 2⁻³ / 2⁻⁵
⇒ 2⁻³ / 2⁻⁵
⇒ 2⁻³ × 2⁵
⇒ 2⁻³⁺⁵
⇒ 2²
So, 2⁻³ / 2⁻⁵ = 2²
Thus, The equivalent mathematical expression of 2⁻³ / 2⁻⁵ will be 2².
Option A is true.
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help pls ill give 50 points (well im putting in 50 points)
The common difference of each given sequence is:
a. -3
b. 3
c. -4
d. 5
What is an Arithmetic Sequence/Progression?An arithmetic sequence or progression is defined as a series of numbers whereby each term of the sequence is determined by adding a constant (known as the common difference) to the previous term to get the next term in the sequence.
What is the Common Difference of an Arithmetic Sequence?The common difference is the number that is added to each term of an arithmetic sequence to get the next term of the sequence.
How to Find the Common Difference of an Arithmetic Sequence?The common difference, d = difference between two consecutive terms in the sequence.
Subtract the first term from the second term or the second term from the third term to get the common difference of the sequence.
a. Common difference = 7 - 11 = 4 - 7 = 1 - 4 = -3.
b. 23 - 20 = 26 - 23 = 29 - 26 = 3.
c. 12 - 16 = 8 - 12 = 4 - 8 = -4.
d. 3 - (-2) = 8 - 3 = 13 - 8 = 5
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Answer:
a. -3
b. 3
c. -4
d. 5
Step-by-step explanation:
Have a good day!
thank u very much to whoever do this
Answer:
C
Step-by-step explanation:
20+80 = 100
a triangle equals 180* so
1080-100=80 or just use a calculator OR with your brain
The city is issuing bonds to raise money for a building project. You obtain a $6700 bond that pays 2% interest annually that matures in 5 years. How much interest will you earn?
The interest that will be earned when the city is issuing bonds to raise money for a building project is $670.
How to calculate the value?It should be noted that the formula for the calculation is the interest is given as:
Interest = Principal × Rate × Time / 100
where P = $6700
R = 2%
Time = 5 years
Interest = Principal × Rate × Time / 100
Interest = (6700 × 2 × 5) / 100
= 670
The interest is $670.
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What has occurred if an increase in temperature accompanies a reaction?
Responses
Energy was released.
Energy was destroyed.
Energy was absorbed.
Energy was created.
The thing that has occurred if an increase in temperature accompanies a reaction is A. Energy was released.
How to illustrate the information?There are many other types of reactions in chemistry, but the exothermic reaction and the endothermic reaction are the two most common forms.
Respiratory reaction is an example of an exothermic reaction, which is one in which energy is released in the form of heat. Exothermic reactions transfer energy from the system to the environment, raising the ambient temperature.
An endothermic reaction is one in which energy is removed from the system during the process. An example of an endothermic reaction is photosynthesis, in which plants use solar energy to produce food.
Therefore, a chemical reaction is said to be exothermic when it releases energy and causes a change in the environment's temperature.
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What is the equation of a line, in slope-intercept form, that has a slope of m=4 and passes through the point (5, 12) ? Enter your answer in the box.
The equation of line is given by y-12=4(x-5).
What is equation of line with slope intercept form?
The equation of a line in point-slope form can be written as
y-y_1=m(x-x_1) where (x_1,y_1) is the points line passes through.
(y-12)=4(x-5)
Where m=4 and x_1=5,y_1=12
Hence, the equation of line is
y=4x-5+12
y=4x+7
The equation of line with the form of slope intercept form is y-12=4(x-5).
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Vertical analysis
The following income statement data for AT&T Inc. and Verizon Communications Inc. were taken from their recent annual reports (in millions):
AT&T Verizon
Revenues $132,447 $127,079
Cost of services (expense) 60,611 49,931
Selling and marketing expense 39,697 41,016
Depreciation and other expenses 20,393 16,533
Operating income $ 11,746 $ 19,599
Required:
Question Content Area
a. Prepare a vertical analysis of the income statement for AT&T. Round to one decimal place.
AT&T
Income Statement
Amount Percent
Revenues $fill in the blank 42f583fcffe2ffb_1
132,447
fill in the blank 42f583fcffe2ffb_2
100
%
Cost of services (expense) fill in the blank 42f583fcffe2ffb_3
60,611
fill in the blank 42f583fcffe2ffb_4
%
Selling and marketing expense fill in the blank 42f583fcffe2ffb_5
39,697
fill in the blank 42f583fcffe2ffb_6
%
Depreciation and other expenses fill in the blank 42f583fcffe2ffb_7
20,393
fill in the blank 42f583fcffe2ffb_8
%
Operating income $fill in the blank 42f583fcffe2ffb_9
11,746
fill in the blank 42f583fcffe2ffb_10
%
Question Content Area
b. Prepare a vertical analysis of the income statement for Verizon. Round to one decimal place.
Verizon
Income Statement
blank Amount Percent
Revenues $fill in the blank 9f21aef38fdffbf_1
fill in the blank 9f21aef38fdffbf_2
%
Cost of services (expense) fill in the blank 9f21aef38fdffbf_3
fill in the blank 9f21aef38fdffbf_4
%
Selling and marketing expense fill in the blank 9f21aef38fdffbf_5
fill in the blank 9f21aef38fdffbf_6
%
Depreciation and other expenses fill in the blank 9f21aef38fdffbf_7
fill in the blank 9f21aef38fdffbf_8
%
Operating income $fill in the blank 9f21aef38fdffbf_9
fill in the blank 9f21aef38fdffbf_10
%
a) A vertical analysis of the income statement for AT&T is as follows:
AT&T Percent
Revenue $132,447 100%
Cost of Services (Expenses) 60,611 45.8%
Selling & Marketing Expense 39,697 30.0%
Depreciation & other expenses 20,393 15.4%
Operating Income $11,746 8.9%
b) A vertical analysis of the income statement for Verizon is as follows:
Verizon Percent
Revenue $127,079 100%
Cost of Services (Expenses) 49,931 39.3%
Selling & Marketing Expense 41,016 32.3%
Depreciation & other expenses 16,533 13.0%
Operating Income $19,599 15.4%
What is a vertical analysis?A financial statement vertical analysis is a comparison of each line item on the financial statement as a percentage of the base figure.
For the income statement, the base figure is the revenue, which is set to 100%. For the balance sheet, the base figure is the total assets or total liabilities and equity, which are set to 100%.
The vertical analysis uses the following formula = Financial statement line item divided by the total base figure X 100.
AT&T Percent
Revenue $132,447 100% ($132,447/$132,447 x 100)
Cost of Services (Expenses) 60,611 45.8% ($60,611/$132,447 x 100)
Selling & Marketing Expense 39,697 30.0% ($39,697/$132,447 x 100)
Depreciation & other expenses 20,393 15.4% ($20,393/$132,447 x 100)
Operating Income $11,746 8.9% ($11,746/$132,447 x 100)
Verizon Percent
Revenue $127,079 100% ($127,079/$127,079 x 100)
Cost of Services (Expenses) 49,931 39.3% ($49,931/$127,079 x 100)
Selling & Marketing Expense 41,016 32.3% ($41,016/$127,079 x 100)
Depreciation & other expenses 16,533 13.0% ($16,533/$127,079 x 100)
Operating Income $19,599 15.4% ($19,599/$127,079 x 100)
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1. Use complete sentences to explain how the special angles created by the Intersection of A and B by D can beused to solve for x.2. Solve for x, showing all of your work.3. Find the measure of <6.
According to the graph we have:
1. If the lines A and B cut by the secant D are parallel, then the collateral angles are supplementary, i.e. add up to 180°. In this case:
[tex](3x+7)+(4x+5)=180[/tex]2. Solve for x:
[tex]\begin{gathered} 3x+7+4x+5=180 \\ 7x+12=180 \\ 7x+12-12=180-12 \\ 7x=168 \\ \frac{7x}{7}=\frac{168}{7} \\ x=24 \end{gathered}[/tex]Answer: x = 24
3. Angle 6 corresponds to angle 3x + 7 so they are equal. So:
[tex]\angle6=3x+7[/tex]Where: x = 24
Substitute the value:
[tex]\angle6=3(24)+7=72+7=79[/tex]Answer: <6 = 79°
Given points J(3,3), A(5.4), and R(4,2), graph ofAJAR and its reflection image across the given line.R-axis
When we reflect a point along the x-axis, the x coordinate stays the same BUT the y coordinate is negated.
A point (x,y) becomes (x, -y)
et us apply this rule to the points J, A, and R. SThis is shown below:
[tex]\begin{gathered} J(3,3)\rightarrow J^{\prime}(3,-3) \\ A(5,4)\rightarrow A^{\prime}(5,-4) \\ R(4,2)\rightarrow R^{\prime}(4,-2) \end{gathered}[/tex]The graph of the triangle will look like >>>
The regular price of an MP3 player was $200. During a holiday sale it is marked down by $60. What is the percent discount?A.60%B.34%C.30%D.28%
Given : Regular price of MP3 player was $200. It was marked down by $60.
Required: Percent discount
Explanation:
Marked Price = $200
Discount given = $60
[tex]Percent\text{ discount = }\frac{Discount\text{ given}}{Marked\text{ price}}\ast100[/tex]So, percent discount =
[tex]\frac{60}{200}\ast100=30\%[/tex]Final answer : Percentage discount is 30%
Introduction to Writing Proofs - A Geometry Performance project
Need help fast
The required expressions about the geometry figure can be proven as follows;
1. The measure of ∠2 and ∠3 are congruent by the substitution property of equality
2. ∠2 and ∠3 are congruent, (∠2≅∠3) by the property of equality
What is the property of equality?The property of equality are properties that enable the solution of algebraic equations to be found and they include, addition, subtraction, multiplication, division, reflexive, substitution, transitive and symmetric properties.
1. The required paragraph to prove that ∠2 ≅ ∠3 is as follows:
Given that ∠1 and ∠2 form a linear pair, then their sum is 180°. Given that the sum of the measure of ∠1 and ∠3 is also 180°, then the sum of ∠1 and ∠2 is equal to the sum of ∠1 and ∠3. Therefore, by the addition property of equality, ∠2 ≅ ∠3.
2. The two column proof is as follows:
Statement [tex]{}[/tex] Reasons
1. ∠ABC = ∠1 + ∠2 is ⊥ 1. Given
2. ∠ABC = 90° 2. Definition of a perpendicular line
3. ∠1 + ∠2 = 90° 3. Substitution property of equality
4. ∠1 and ∠3 are complementary 4. Given
5. ∠1 +∠3 = 90° 5. Definition of complementary
6. ∠1 + ∠2 = ∠1 +∠3 6. Substitution property of equality
7. ∠2 ≅ ∠3 7. Addition property of equality
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Lisa randomly selected 30 adult dogs from two different breeds. She gathered data about their weights and created the dot plots
shown.
Select the true statement.
Breed A
24
Breed B
24
26
26
28
28
30 32
Weight (pounds)
34
po 32
Weight (pounds)
34
36
36
30
●
38
40
40
A.
Dogs of breed B typically weigh more than dogs of breed A
B.
Dogs of breed A and breed B typically weigh the same.
C. There is too much overlap to make a generalization comparing the weights of dogs of breed A and breed B.
D. Dogs of breed A typically weigh more than dogs of breed B.
The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.
What is a histogram in probability?The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.
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what is a triangle? can someone explain please (not serious, just couldn't figure out how to delete my previous question)
A brief definition of a triangle according to Euclidean geometry is shown below:
Closed figure consisting in three non-colinear, all of them coplanar, points named vertices and three line segments associated to each pair of points named sides.
What is a triangle?
To understand what a triangle is, we need to understand some basic concepts of the Euclidean geometry. There are three undefined terms, that is, fundamental elements that cannot be defined but are described in terms of its attributes. Those terms are point, line and plane. The atributes of each element are described below:
Point - Location, discrete, no dimensions. Line - Continuous, length, no width. Plane - Length, width, no depth.A line can be formed by knowing the location of two distinct points on a plane. Lines can be continuous lines (endless), line segments (lines with finite length) or semirrays (lines with only one endpoint).
Let suppose that we have three points not collinear to each other, then we construct line segments for each pair of collinear points. Then, we create a triangle, whose brief definition is shown below:
Closed figure consisting in three non-colinear, all of them coplanar, points named vertices and three line segments associated to each pair of points named sides.
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