35 is diagonals does a convex decagon have .
What does a pentagon basic definition entail?
A geometric figure with five sides and five angles is called a pentagon. Here, "Penta" stands for five, while "gon" is an angle.
One of the different kinds of polygons is the pentagon. For a standard pentagon, the total internal angles come to 540 degrees.
There are a total of ¹⁰C₂ ways to connect two different vertices. But connecting neighbouring vertices doesn't count, so we have to exclude the sides from our consideration. There are 10 sides, so we need to take away 10 ways from the 45 ways possible to get the number of diagonals.
Number of diagonals in a decagon = 35
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To indirectly measure the distance across a lake, Isra makes use of a couple landmarks at points L and M. She measures KO, OM, and NO as marked.
1. Write a triangle similarity statement.
2. Identify the scale factor.
3. Find the distance across the lake (LM), rounding your answer to the nearest hundredth of a meter.
1. ΔMLK ≅ ΔONK by AA similarity theorem.
2. The scale factor is 21/16 .
3. The distance across the lake is, LM ≈ 169.97 m.
What is the AA Similarity Theorem?The AA similarity theorem states that two triangles are similar to each other if we can show that they both have two congruent angles that are corresponding to each other.
1. In the image given, we have the following:
∠MLK ≅ ∠ONK because they are right angles
∠LKM ≅ ∠NKO based on the reflexive property of congruence.
Therefore, the similarity statement would be: ΔMLK ≅ ΔONK by AA.
2. The scale factor = (50 + 160) / 160 = 210/160 = 21/16
3. LM/NO = MK/OK
LM/129.5 = 210/160
LM = (210)(129.5)/160
LM ≈ 169.97 m
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Match the type of slope to the equation. You may need to solve for slope-intercept form for some equations.
y-12
x--13
-6y--2x+30
3x+5y-15
The required slopes of the line are as follows,
(a) y = 12, the slope is m = 0,
(b) x = -13, the slope is not defined.
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m= -3/5.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
(a)
y = 12
Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 0
m = 0
(b)
x = -13,
x + 13 = 0
Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 1 / 0 (because the equation does not contain the term y)
m = not defined.
Similarly,
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m= -3/5.
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1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
counterclockwise, what are the coordinates of the image A'B'C'?
90°
2) Which transformation(s) preserve congruence?
3) Which transformation(s) produce similar figures that are not congruent?
1) image of the coodinate A(6,2) be A'(-2,6)
image of the coodinate B(3,4) be B'(-4,3)
image of the coodinate C(2,8) be C'(-8,2)
2) A transformation that preserves congruence is called an isometry
3) A dilation would produce a similar figure.
What do you mean by transformation?
Transformation is a collective term for four specific ways of manipulating the shape and position of points, lines, or geometric figures. The original shape of the object is called the master, and the final shape and position of the object is the image under transformation. There are four types of transformations in mathematics
1) When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
Therefore, image of the coodinate A(6,2) be A'(-2,6)
image of the coodinate B(3,4) be B'(-4,3)
image of the coodinate C(2,8) be C'(-8,2)
2) A transformation that preserves congruence is called an isometry. In other words, a transformation in which the Image and Pre-Image have the same side lengths and angle measurements. Translations, reflections, and rotations are isometries.
3) A dilation would produce a similar figure.
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Question 7 - 5 Points
Dec 18, 7:12:35 PM
Santiago finds some dimes and quarters under the couch cushions. How much money
(in dollars) does he have if he has 4 dimes and 7 quarters? How much money (in
dollars) does he have if he has a dimes and y quarters?
Answer:
Step-by-step explanation:
4x+7y=2.15
a dime is worth 10 cents each and because there are 4 dimes then there are 40 dimes. a quarter is worth 25 cents 4 quarters is a dollar, there are 7 quarters, minus 4, your left with 3 quarters so you have $1.75 of quarters but then you add .40 so now you have 2.15. So Santiago has $2.15 dollars.
x+y=2.15
For the 2nd question I think that it is asking a question and I think that this might be the answer but i'm not sure...if wrong I'm sorry.
if alicia had been able to achieve the same percentage of visitors for the entire week as she does on monday, how many additional people would then visit cool beans?
Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.
Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060
Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined
Visits to Cool Beans should be 2,060
Current Visits =548
Additional visits =2,060-548 i.e. 1,512 visits
Note for better understanding:
same or the demand of coffee will remain same, then the Additional people will be calculated as:
Total number of visits = 584+840+1,220 i.e. 2,608
Target number of visits =50 % of total visits i.e. 1,304 visit
Additional visits = 1,304-548 = 756 visits
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Norma went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 8 roses from the third rose bush, and 13 roses from the fourth rose bush. What kind of sequence is this?
The kind of sequence is a prime number if Norma cuts 3, 5, 8, 13 roses from the four bushes.
What is a prime number?A prime number is a natural number higher than 1 that is not the sum of two lesser natural numbers. A composite number is any natural number that is more than 1 but not a prime. As an illustration, the number 5 is prime since there are no other ways to write it either a product than as 1 5 or 5 1. The basic arithmetic theorem states that every natural number greater than 1 is either a prime itself or can be factored as a product of primes that is unique up to their order, making primes a prominent concept in number theory.
Given,
The number of roses cut by Norma from the first rose bush are 3 roses.
And from the second rose bush are 5 roses and from the third rose bush are 8 roses.
And from the fourth rose bush are 13 roses.
1 2 3 4
3 5 8 13
Here, the roses are 3, 5, 8, 13
Therefore, the kind of sequence is a prime number.
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if the group consists of five girls and five boys, what is the probability that all the girls end up on the same team?
The likelihood that every girl is on the same team is 1/252.
Describe probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Since the team's student lineup is not crucial, a mixture will be employed.
C(10,5) = 252 is the number of possible methods to choose 5 students from a class of 10.
Rest Team B will consist of 5 students. Consequently, there are 252 items in the sample space.
Let two women join team A. then the number of methods for choosing the final three members from the eight remaining members C(8,3) = 56
Likewise if two girls are in team B then possible number of different groups is 56.
Therefore total number of different groups such that two girls are in one team is 56+56 = 112.
The required probability is
P(two girls are in one team) = 112 / 252
Number of ways of selecting all girls in one team and boys in another team is 1. So required probability is
P( girls in one team) = 1/ 252
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can you solve please
Answer:
y = 10 , ∠ C = 40° , ∠ D = 76°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DEF is an exterior angle of the triangle , then
∠ C + ∠ D = ∠ DEF , that is
4y + 7y + 6 = 116
11y + 6 = 116 ( subtract 6 from both sides )
11y = 110 ( divide both sides by 11 )
y = 10
Then
∠ C = 4y = 4(10) = 40°
∠ D = 7y + 6 = 7(10) + 6 = 70 + 6 = 76°
Answer:
y = 10
∡C = 40°
∡D = 76°
Step-by-step explanation:
Supplementary angles sum 180°
116° and ∡E are supplementary angles:
116 + E = 180°
E = 180 - 116
E = 64°
∡E = 64°
Internal angles of a triangle sum 180°
∡D + ∡C + ∡E = 180°
7y+6 + 4y + 64 = 180
7y + 4y + 6 + 64 = 180
11y + 70 = 180
11y = 180 - 70
11y = 110
y = 110/11
y = 10
Then:
∡C = 4y = 4*10 = 40°
∡D = 7y + 6 = 7*10 + 6 = 70 + 6 = 76°
Find the median of the test scores: 95 65 90 95 70 65 35 70 60 70 95
The circumference (C) of a circle i 18 centimeter. Which formula can you ue to find the radiu (r) if you know that C =
Answer:
Radius is equal to 2.86 cm
Step-by-step explanation:
C = Perimeter = 18 cm
Perimeter of a circle = 2*PI*r
C = 2*pi*r
18 = (2)*(3.14)*r
18 = 6.28*r
r = 18/6.28
r = 2.86 cm
After a nowball fight, Nathan wanted to warm up with a cup of hot chocolate. He decided to make enough to hare with hi friend. Firt, he heated 6 cup of milk and 1 pint of cream in a large pot. Then, he tirred in 4 cup of melted chocolate. How many cup of hot chocolate did Nathan make?
The number of cups of hot chocolate drink Nathan made is 12 cups.
According to the given information
Nathan made how many glasses of hot chocolate?number of milk cups 6 cups cooked by Nathan
4 cups of melted chocolate equals the number of cups.
Total number of creams = 1 PINT
Pint to cup conversion: 1 pint = 2 cups
Total number of cups of hot chocolate that were made by nathan
= Cups of milk heated + cups melted + number of cream
As a result, Nathan prepared 12 cups of hot chocolate.
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What is y to the 7th power, then subtract 8 from the result
Answer: y^7 - 8
Step-by-step explanation:
It is an algebra equation. It can't be factor or solve further!
The Micro Devices Company earned 4,632,859,678 dollars this year. 1,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount earned by 217% more from last year to this year.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount earned last year = 1,459,632,852
Amount earned this year = 4,632,859,678
The best estimate of the amount earned this year than last year.
= [ (4,632,859,678 - 1,459,632,852 ) / 1,459,632,852 ] x 100
= ( 3173226826 /1,459,632,852 ) x 100
= 217 %
Thus,
The amount earned by 217% more from last year to this year.
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which sampling strategy is most commonly used in ethnography? group of answer choices purposive sampling cluster sampling stratified random sampling derivative sampling
The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.
The non-random sample that best resembles stratified random sampling is quota sampling.
Using the non-probability sampling technique of quota sampling, researchers select a sample of people who are typical of the population. These people are chosen by researchers based on specific traits or qualities. In order to use market research samples for data collecting, they decide on and set sample quotas. These samples accurately reflect the entire population. The interviewer's or researcher's knowledge of the population will be the only factor used to select the final subgroup.
Probability sampling means that every member of the population has a chance of being selected.
There are four main types of probability sample.
Simple random sampling.
Systematic sampling.
Stratified sampling.
Cluster sampling.
For instance, a tobacco company would want to know which age group in a given city loves which brand of smokes. The age groups of 21–30, 31–40, 41–50, and 51+ are subject to survey quotas. Based on these findings, the researcher makes an estimation of the smoking trend in the city's inhabitants.
Therefore,
The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.
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Which equation represents the following problem?
If it takes 5 hours to travel 200 miles to the beach, what is the average speed?
200 = r x t
200 = r x 5
d= 200 x 5
r x 200 = 5
The equation which represent the following problem is s = 200/5
What is the average speed?Average speed of an object refers to the rate of total distance traveled by the total time taken.
Average speed, s = Total distance traveled, d / Total time taken, t
Total distance traveled = 200 milesTotal time taken = 5 hoursAverage speed = Total distance traveled / Total time taken
= 200 miles / 5 hours
= 40 miles per hour
In conclusion, the situation can be represented by the equation s = 200/5
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do upperclassmen (seniors and juniors) spend more money on alcoholic beverages then underclassmen (freshman and sophomores)? what type of inference is this?
The type of interference is this :
Comparing proportions from 2 independent samples
Given,
In the question:
Complete question is this:
Do upperclassmen (Seniors and Juniors) spend more money on alcoholic beverages then underclassmen (Freshman and Sophomores)? What type of inference is this?
a. Comparing proportions from 2 independent samples
b. One proportion
c. Comparing means from dependent samples
d. Comparing means from 2 independent samples
e. Comparing proportions from dependent samples
f. One mean
Now, According to the question:
Hence, The type of interference is this :
a. Comparing proportions from 2 independent samples
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I am confused on how to solve
Answer:
6 sqrt(2)
Step-by-step explanation:
sqrt(50) + sqrt(2)
Rewrite sqrt(50) as sqrt(25*2) = sqrt(25) * sqrt(2) = 5 sqrt(2)
5 sqrt(2) + sqrt(2)
6 sqrt(2)
Which triangle is the original image and which triangle was the dilation? Explain how you know?
Answer:
ABC is the original
Step-by-step explanation:
The scale factor is 1/2 which means that the triangle would get 2 times smaller. Therefore, triangle ABC is the original because it is the bigger one.
The proportional relationship between the number of hours jack works, h, and his total earnings in dollars and cents, e, can be represented by the equation e=19. 1he=19. 1h. What is the constant of proportionality from the number of hours worked to total earnings?.
19.1 is the proportionality constant. It shows that Jack makes 19.1 dollars and cents for every hour he works.
Given that e = 19.1 may be used to represent the percentage between Jack's total wages in dollars and cents and the number of hours he works, h, the relationship between these two variables is one of proportionality.
We need to determine the constant of proportionality.
The constant of proportionality in the preceding equation, e = 19.1h, stands for the constant ratio between the total number of hours worked (h) and the total amount earned in dollars and cents (e).
The amount of money Jack makes for each hour he works is determined by this constant.
We can compare the provided equation with the formula for a proportional connection, which is: to determine the constant of proportionality.
e = k × h
Here, "k" represents the constant of proportionality.
We need to identify the value of "k" from the given equation e = 19.1h.
We can see by comparing the two equations that the proportionality constant, "k," is 19.1.
This indicates that Jack makes $19.1 for each hour that he works. The fixed rate of 19.1 (constant) represents the rise in his pay for each additional hour he works.
Hence, the constant of proportionality from the number of hours worked to total earnings is 19.1 dollars per hour.
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Find the value of x that will make L||M
L-
2x + 5
M-
x-5
x = [?]
The value of x that will make L || M is x/2
How to form parallel linesAs a parallel line part of the qualities include that the slopes of the lines are equal
The equation of line is L = 2x + 5 and M = x - 5
The slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
to make line L parallel to line M
2x ⇔ x
hence x in line L will be equal to x/2
L = 2x + 5
L = 2(x/2) + 5
L = x + 5
L = x + 5 is parallel with M = x - 5
L = 2x + 5 is parallel with M = 2x - 5
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what is y-3=5(x-1) in slope intercept form?
Answer:
The answer is y = 5x - 2
Step-by-step explanation:
Distribute 5 through the parentheses:
y - 3 = 5x - 5
Move the constant to the right-hand side and change its sign:
y = 5x - 5 + 3
Calculate the sum:
y = 5x - 2
!What is the range of temperatures in the data STEM AND LEAF!
HELPPPPPPP
The range of temperatures in the data stream and leaf is given below.
What is tempreture?Tempreture is the physical quantity that expresses quantitatively perception of hotness and coldness.
Combined
Mean:32.785714285714 or rounded 32.8
Median:29
Mode:25 and 29
Range:42
Minneapolis
Mean:28.857142857143 or rounded: 28.9
Median:25
Mode:None
Range:23
Columbus
Mean:36.714285714286 or rounded: 36.7
Median:29
Mode:29
Range:37
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A school sold 461 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Ticket sales totaled $1624.
Part A. Write and solve a system of equations to model this situation.
Part B. Then explain the meaning of your solution.
Total 241 adult ticket and 220 student ticket are sold.
What is system of equation ?system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
a + s = 461 or s = 461 -a
Value of student tickets sold = s × 3 = 3 × (461-a)
Value of adult ticket sold = 4 a
Summed they total 1624
System of equations :
s = 461-a3 (461-a) + 4a
= 16241383 -3a +4a
= 1624a
= 241
then s = 461 -a = 220 ticket
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Good points please answer
The values of sin2x, cos2x and tan2x is -3/5, -4/5 and 3/4 respectively.
What is sine function?
The ratio of the opposite side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angles can be determined using the sine function. The ratio of the side opposite the angle (also known as the perpendicular) and the hypotenuse is known as the sine of an angle in a right-angled triangle.
The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse.
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Andrew invet $200 into an account with a 2. 9% interet rate that i compounded emiannually. How much money will he have in thi account if he keep it for 5 year? Round your anwer to the nearet dollar
Andrew will have $251.91 in his account after 5 years, assuming he does not add or withdraw any money from the account and that interest is compounded semiannually at a rate of 2.9%.
What Does an Interest Rate Mean?The fee that a lender assesses on a borrower is known as the interest rate, which is expressed as a percentage of the principal, or the loaned amount. Usually, the annual percentage rate (APR), which is how loans' interest rates are expressed, is indicated (APR).
What is the process of an interest rate?Once your loan is fully repaid, interest will have an impact on the overall cost you pay. For instance, if the interest rate on a $100 loan is 5%, you will have to pay the lender $105 in order to repay the money. $5 will be profit for the lender.
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I NEED HELPPPP!!!!!!!!!!!
Answer:
125 in^2
Step-by-step explanation:
Assuming that s is the length of a side in the base.
Surface Area is the area of every shape in the figure added together.In this figure you have 4 triangles and one square as the base.For the base you would find the area of a square (the base is a square) 5 x 5 = 25There are four triangles that you need to find the area of which all have the same surface area.To get the area of a triangle first split the triangle into 2 halves making a right triangle. This will make the dimensions 2.5 for base and 10 for height.Do base x height of the right triangle to get the full triangles area. (2.5 x 10 = 25).You now know the area of one triangle which there are four of in this problem so you can do 4 x 25.The surface area of the triangles is 100.Add the area of the base (25 + 100).The surface area of this figure is 125 in^2Use the marginal tax rate chart to answer the question.
Tax Bracket Marginal Tax Rate
$0–$10,275 10%
$10,276–$41,175 12%
$41,176–$89,075 22%
$89,076–$170,050 24%
$170,051–$215,950 32%
$215,951–$539,900 35%
> $539,901 37%
Part A: Demonstrate how to calculate the amount of taxes owed on a taxable income of $39,000. (4 points)
Part B: The piecewise function represents the amount of taxes owed, f(x), as a function of the taxable income, x. Using the same taxable income from Part A, demonstrate how to calculate the amount of taxes owed using the piecewise function. (4 points)
A piecewise function f of x in seven pieces. The function is defined by part 1, which is 0 point 10 times x for x less than or equal to 10,275; part 2, which is 0 point 12 times x minus 205 point 50 for 10,276 is less than or equal to x which is less than or equal to 41,175; part 3 which is 0 point 22 times x minus 4,323 for 41,176 is less than or equal to x which is less than or equal to 89,075; part 4 which is 0 point 24 times x minus 6,105 point 50 for 89,076 is less than or equal to x which is less than or equal to 170,050; part 5 which is 0 point 32 times x minus 9,070 point 32 for 170,051 is less than or equal to x which is less than or equal to 215,950; part 6 which is 0 point 35 times x minus 26,187 point 50 for 215,951 is less than or equal to x which is less than or equal to 539,900; and part 7 which is 0 point 37 times x minus 36,985 point 67 for x is greater than or equal to 539,901.
Part C: Compare the piecewise function to the marginal tax rate chart. How is the marginal tax rate chart represented in the piecewise function? (2 points)
a) The taxes to be paid for someone with a taxable income of $39,000 are of: $4,680.
b) The piece-wise function is defined as follows:
f(x) = 0.1x, 0 ≤ x ≤ 10275;f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.f(x) = 4941 + 0.22(x - 41175), 41176 ≤ x ≤ 89075.f(x) = 19596.5 + 0.24(x - 89075), 89076 ≤ x ≤ 170050.f(x) = 40812 + 0.32(x - 170050), 170051 ≤ x ≤ 215950.f(x) = 69104 + 0.35(x - 215950), 215951 ≤ x ≤ 539900.f(x) = 188965 + 0.37(x - 539900), x > 539901.c) The tax rates are used as the slope for each linear definition of the piece-wise functions, while the bounds of the intervals are used to calculate the intercept.
How to obtain the amount of taxes owed and how to define the piece-wise function?The amount of taxes owed is obtained applying the proportion of the tax rate relative to the annual salary.
The tax rate for a taxable income of $39,000 is of 12%, hence the amount is given as follows:
0.12 x 39000 = $4,680.
The piece-wise functions for this problem are all derived considering the intervals with the tax brackets,
For the first tax bracket, the proportion is merely applied, as follows:
0.1x, 0 ≤ x ≤ 10275;
For each bracket, starting on the second, the maximum tax rate of the previous rate is calculated, and added to the excess of the income relative to the maximum of the previous tax bracket multiplied by the proportion.
For the first tax bracket, the maximum income is of:
$10,275.
The maximum tax of the first tax bracket is of:
0.1 x 10275 = 1027.5. -> the maximum value of the nth bracket is the starting value of the nth+1 bracket.
Then the function for the second bracket rate is obtained as follows:
f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.
The same procedure is applied to any of the remaining brackets, taking the previous bracket to obtain the function.
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Ally got a haircut for $45. She wants to leave a 20% tip. How much money should she give the hair dresser altogether?
Answer:
$51.75
Step-by-step explanation:
Use a tip calculator.
In a race, two of the cars had to drop out before finishing. The table below shows the distance (in miles) each of these cars travelled each hour,
Car #1
150
Car #2
165
Distance each hour
(in miles)
Let x be the number of hours Car #1 travelled before dropping out.
Let y be the number of hours Car #2 travelled before dropping out.
x ≥ y
Answer:
The table below shows the distance in miles each of these cars traveled each hour. Let x be the number of hours Car #1 traveled before dropping out. Let y be ...
Step-by-step explanation
when gathering data through a survey, companies can save money by surveying 100% of a population. 1 point true false
When gathering data through a survey, companies can save money by surveying 100% of a population. False
What is survey?
Survey an activity in which many people are asked a question or a series of questions in order to gather information about what most people do or think about something.
Survey research has historically included large population-based data collection. The primary purpose of this type of survey research was to obtain information describing characteristics of a large sample of individuals of interest relatively quickly.
Therefore when gathering data through survey there is not 100% sure that companies can make alot of save.
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