Step-by-step explanation:
You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.
Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.
A 2010 u.s. census bureau report indicated there are 4,229,138 residents of indiana aged 25 and older. what percentage of the residents aged 25 and older have a degree if there are 326,036 residents with an associate's degree, 623,200 with a bachelor's degree, and 348,807 with either a graduate or professional degree? write your answer as a percent rounded to the nearest whole number.
Among the 4,229,138 residents of Indiana aged 25 and older, the percentage of the residents aged 25 and older that have a degree is 31 %.
Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".
The formula to get the percentage is:
Percentage = (Value / Total Value) × 100
Getting first the total value of the degree holders: 326,036 have an associate's degree, 623,200 have a bachelor's degree, and 348,807 have either a graduate or professional degree
residents with degree = 326,036 + 623,200 + 348,807
residents with degree = 1,298,043
If the total value of the residents aged 25 and older is 4,229,138 and among them, 1,298,043 have a degree, getting its percentage using the formula:
Percentage = (Value / Total Value) × 100
Percentage = (1,298,043 / 4,229,138) × 100
Percentage = (0.3069285041) × 100
Percentage = 30.69 %
Rounding off to the nearest whole number,
Percentage = 31 %
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in a study reported in the news, "researchers found that adults who used headphones with a screen, for more than one hour per day were at a 13% higher risk for hearing loss compared to those who used headphones with their screens less than one hour. the research team randomly surveyed 3,506 people in california about their screen/headphone behaviors, as well as information about ear infections and other noises a person may encounter at work and in daily life. participants were also given physical check-ups, including a hearing test and a physical exam of the ears and eyes. the increased likelihood of hearing loss remained, even after the researchers adjusted for risk factors such as construction noise and inner ear anatomy. the researchers found no increased risk among people who used headphones with a screen less than one hour per day.
Headphones that go over your ears can also damage your hearing if you use them too long or play music too loudly.
What is decibel explain with examples?
A decibel is a unit used to measure how loud something is using a logarithmic formula. It is also used to describe the degree of loudness. This is an example of when you listen to your music at the loudest volume that your iPod will allow.If you use over-the-ear headphones for an extended period of time or listen to loud music, you could end up damaging your hearing. They simply pose less of a risk than earphones do: The level of a sound can be increased by 6 to 9 decibels when the source is inside your ear canal, which can result in some major issues.Learn more about decibel
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the u.s. census bureau needs to estimate the median income of males in the u.s., they collect incomes from 2500 males. state the individual, variable, population, sample, parameter, and statistic.
Individual : a male in the United States
Variable : income
Population : All males in the United States
Sample : 2500 males of which the information is collected
Parameter : Median income of males in the U.S
Statistic : Median income of the 2500 males sampled
Any satisfactory, quantity, or number that can be gauged or tallied qualifies as a variable. A records object is some other name for a variable.A sample is a subset of units selected to symbolize all the people in a population. due to the fact only a portion of the populace become counted, it is only a partial enumeration. To estimate the traits of the total populace of hobby, facts from the sampled devices is used.A statistic is a numerical illustration of a sample, whereas a parameter is a numerical illustration of the complete populace.To learn more about statistics, visit :
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if we randomly choose names from the phone book, call them, and determine whether they are registered voters, does this process result in a random sample of voters?
The process of sampling is used is called the cluster sampling.
According to the statement
We have to find that the process of the sampling.
So, For this purpose, we know that the
Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research.
From the given information:
The things on which we do the survey :
if we randomly choose names from the phone book, call them, and determine whether they are registered voters.
Then
This sampling technique is used when our population is naturally divided into groups (which we call clusters).
due to this reason this sampling is called a cluster sampling.
So, The process of sampling is used is called the cluster sampling.
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one pound of grapes costs $1.55. which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes? startfraction 1.55 over 1 endfraction
startfraction 1.55 over 1 endfraction is x = 1.55
What is ratio?A ratio in mathematics shows how many times one number is included in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is identical to the ratio 4:3). (i.e., 8:6, which is identical to 4:3). The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). (or 4:7). A ratio can have any number of values, such as counts of people or things or measures of length, weight, time, etc. In most cases, both numbers must be positive.
EXPLANATION:
Sadly, we are unable to view the list of equations from which you can choose. But if we assume that x Equals the cost of 3.5 kg of grapes, we can construct the following equation
1/1.55 = 3.5/x
x = 1.55
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Find the area of parallelogram ABCD given mA = 30 and the following measures. AB = 6ft ; AX = 3 [square root] 3, A = ?
The area of the given parallelogram is: 9√3 sq. feet.
What is a parallelogram?A parallelogram is a simple quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
Area of a parallelogram = Base of the Parallelogram * Height
Now, given:
A parallelogram ABCD,
AB = 6 feet, AX = 3√3. Angle A = 30°
To find: Area of the Parallelogram ABCD.
Finding: Here, AB = 6 feet = base
For height,
Height = perpendicular distance from X to AB
= AX(sinA)
Height = 3√3 (sin30) = 3√3 / 2
Thus, area of the parallelogram = [tex]\frac{3\sqrt{3}}{2}\times6= 9\sqrt{3}sq. feet.[/tex]
Hence, The area of the given parallelogram is: 9√3 sq. feet.
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Help with this problem
Using linear functions, it is found that:
Plan B is better than Plan A when Curt's sales are more than $21,000.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the functions in this problem, we have that:
The salary is the intercept.The commission is the slope.Hence the functions are given as follows:
A(x) = 1050 + 0.1x.B(x) = 1350 + 0.15(x - 9000).Plan B is better when:
B(x) > A(x).
Hence:
1350 + 0.15(x - 9000) > 1050 + 0.1x
0.05x > 1050
x > 1050/0.05
x > 21000.
Plan B is better than Plan A when Curt's sales are more than $21,000.
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Build Understanding
1
The table shows how many ounces of salsa you get
when buying small jars of salsa.
8
64
12
16
96
24
MaR
Small jars of salsa 4
Ounces of salsa
32
. Describe a pattern you see in the rows of the table. Oraciones con esas tablas de númeracion
The rows of small jars of salsa are increased by 4 times.
The rows of ounces of salsa are increased by 32 times.
The pattern in the column of the table is
y = 8x
Therefore x = 4 then y = 8(4) = 32
x = 8 then y = 8(8) = 64
x = 12 then y = 8(12) = 96
x = 16 then y= 8(16) = 128.
x = 20 then y = 8(20) = 160.
The pattern in the column of the table is
y = 8x
Therefore x = 4 then y = 8(4) = 32
x = 8 then y = 8(8) = 64
x = 12 then y = 8(12) = 96
x = 16 then y= 8(16) = 128.
x = 20 then y = 8(20) = 160.
The relationship between ounces of salsa and small jars of salsa using a unit rate is
4 ounces = 1 serving
y = 4x
If x = 1 then y = 4
If x = 2 then y = 4(2) = 8
If x = 3 then y = 4(3) = 12
If x = 4 then y = 4(4) = 16
If x = 5 then y = 4(5) = 20
The relationship using the unit rate is
48 ounces = 4 medium jars of salsa.
For 1 medium jars of salsa = 48/4 = 12 ounces.
1 medium jar of salsa = 12 ounces.
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16•(-4)=
Answer what like by hand
Answer:
-64
Step-by-step explanation:
4 times 10=40
+4times 6=24
=64
Times by -1
=-64
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700*y ≤ 4000
Answer:
its b
Step-by-step explanation:
Convert the following angle to decimal degrees.
α = 27° 20' 21"
PLEASE HELP ME!
Answer:
27.33917°
Step-by-step explanation:
27° 20' 21"
= 27° + 20'/60 + 21"/3600
= 27.33917°
18. Simplify the complex fraction.
Answer:
B.
4*2=8
5*3=15
Answer:
A is 3\5; B is 8\3; C is 3\8; D is 5\3
Step-by-step explanation:
divide or multiply
i don't know if these are right bc I didn't do them in a long time.
Which is it… Please.
Answer:
No association
Step-by-step explanation:
This type of data is usually random; think about it, how could what gender person you are affect how you survive? Children may have a higher chance, but that's primarily based on health. Women is about 3/4 and men about 1/4.
Hope this helps.
What is the measure of the angle shown below?
Answer:57 degrees
Step-by-step explanation:
It is just below the 60-degree line. And it is less than 90 degrees.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
slope=-1/5
Step-by-step explanation:
the slope is -1/5 because it falls 1 unit from one point before crossing 5 units and hitting another point.
Translate the sentence into an equation.
Seven times the sum of a number and 3 equals 2.
Use the variable b for the unknown number.
0-0
X
OXO
0+0
Ś
The translation of the given sentence into an equation is: 7(b + 3) = 1.
How to Translate a Sentence into an Equation?Variables can be used to represent an unknown quantity when translating statements into equation. The word "times" is represented as or means "×" (multiplication). "Sum" means addition as well.
Thus, the sentence given can be translated as shown below:
The unknown number is represented as variable b.
"The sum of a number (b) and 3" would be translated as: b + 3.
"Seven (7) times the sum of a number and 3 (b + 3)" would therefore be: 7(b + 3).
Therefore, translating the whole sentence into an equation, we would have:
7(b + 3) = 1.
Thus, the translation of the given sentence into an equation is: 7(b + 3) = 1.
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PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
Option 3
Step-by-step explanation:
When y is positive, there is always increase.
Eliminate options 1 and 2.When y is negative, there is always decrease.
Eliminate option 4.In the relationship y=3x, if x is reduced by 1/3, how will y change? Responses It will triple.
If x is reduced by 1/3, 3x will be reduced by 1/3 x 3 = 1
Because y = 3x, y will also be reduced by 1.
a souvenir of the eiffel tower is scaled 1/80 at inch to 1 foot. if the total height of the tower is 1,069 feet, the approximate height of the souvenir of the eiffel tower to the nearest tenth is
well, let's convert 1 foot to inches, that'd be 12 inches per foot.
so we know that the souvenir is 1/80 in, to the actual of 12 inches on the Eiffel Tower, if the Tower itself is 1069 feet high, namely (1069)(12) inches, how high is the souvenir?
[tex]\begin{array}{ccll} \stackrel{in}{souvenir}&\stackrel{in}{actual}\\ \cline{1-2} \frac{1}{80}&12\\[1em] x&(1069)(12) \end{array}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{x}~~ = ~~\cfrac{12}{(1069)(12)}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{12}{12828} \\\\\\ \cfrac{1}{80}\cdot \cfrac{1}{x}=\cfrac{1}{1069}\implies \cfrac{1}{80x}=\cfrac{1}{1069}\implies 1069=80x\implies \cfrac{1069}{80}=x\implies 13.4\approx x[/tex]
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee
and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the
monthly cost will be $86. If the customer uses 610 minutes, the monthly cost will be $123.5.
A) Find an equation in the form y = mx +b, where x is the number of monthly minutes used and y is
the total monthly of the A Fee and Fee plan.
Answer: y =
B) Use your equation to find the total monthly cost if 945 minutes are used.
Answer: If 945 minutes are used, the total cost will be
dollars.
The equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.
Equationa. Equation
Slope = ( $123.5-$86)/(610-360)
Slope=37.5/250
Slope= 3/20
y = mx + b
Solve for "b"
$123.5 = (3/20)610 + b
$123.5 = 91.5 + b
b=$123.5-$91.5
b = 32
Equation:
y = (3/20)x + 32
b. Total cost
Total cost= (3/20)945+32
Total cost= 141.75+32
Total cost= $173.75
Therefore the equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.
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Phoebe, Andy and Polly share £270
Phoebe gets 3 times as much as Andy who gets twice as much as Polly
work out how much they get each?
Answer:
Phoebe=180
Andy=60
Polly=30
Step-by-step explanation:
let Polly be x
:Andy becomes 2x while Phoebe becomes 6x
therefore 6x+2x+x=270
9x=270
x=30
Hence: Phoebe=6x=180
Andy =2x=60
Polly=x=30
If $5 = 4pound and Rs 342 = $3, how many dollars can be exchanged for 50 pounds
Answer:
19.40 dollars is equal to rs4400
Question 4 (1 point)
Choose all the terms in the expression
5x⁴ - 7x³ + x + 2
(below are multiple choice options)
5
5x⁴
-7x³
1
X
2
Answer: there are 4 terms and they are 5x^4, -7x^3, x, and 2
Step-by-step explanation:
Call bag contains six red tiles and 15 yellow towels. lelia removes two red towels how many yellow tiles should she remove so that the ratio of red tiles to yellow towels in the bag stays equivalent to 6:15
5 yellow tiles should be removed.
The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.
Now, relating the two ratio -
6:15 = 4:(15 - x)
Performing cross-multiplication to find the value of x.
6 × (15 - x) = 4 × 15
Performing multiplication on both the Left Hand Side and Right Hand Side
90 - 6x = 60
6x = 90 - 60
Performing subtraction to find the value of x
6x = 30
x = [tex]\frac{30}{6}[/tex]
Performing division to find the value of x
x = 5
So, the number of yellow tiles to be removed is 5.
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The complete question is -
A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?
Why does it make sense that t(4) > t(2)
Answer:
Step-by-step explanation
Stepst(4)>t(2)Show StepsExpand t(4): 4tShow StepsExpand t(2): 2t4t> 2tSubtract 2t from both sides4t−2t>2t−2tSimplify2t>0Divide both sides by 22t2 >02 Simplifyt>0Got a different answer? Check if it′s correct Verify
help me understand this
Answer:
2
Step-by-step explanation:
According to the table, when x changes 7 units, y will change 14 units
x y
-28 -54
-21. -40
-14 - 26
-7 - 12
0 2
y-intercept is where the line intersects y axis, which x = 0
so y-intercept is 2
ax - c= b helppppppp
Answer:
a= b/x + c/x
x= b/a + c/a
c= -b + ax
b= ax - c
Step-by-step explanation:
It depends on what your solving for so here are the answers for all.
Explain the parts of this imaginary number. −7+4i
Step-by-step explanation:
Every imaginary number contains two part. which is recalled as:
[tex]a + bi[/tex]
in which a is a real number and b is known as the imaginary number.
so –7===> Real number
4===> imaginary part
-2x + y = 0
5x + 3y = -11
The solution for equations can be determined by .
-2x + y = 0
5x + 3y = -11
Equating both the equations
-6x+5x = -11
x= 11
substitute x in any one of the equation to find y value.
-2(11) + y = 0
y = 22
What is an equation?A declaration that two mathematical expressions are equal. a phrase that uses chemical symbols to illustrate a chemical reaction.
Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.
Equation is a mathematical term for a scenario where numerous aspects need to be taken into account. It is commonly expressed as a mathematical expression with equal values on either side and is defined as the state of equality.
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Graph the line with the equation y= - 1/2x + 7
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: 1^2
y-intercept: (0,7)
(XY)
(07)
(28)