1. Measure your shoe and pick a starting point. Call it A. • From A, the start point, choose a second point B and measure the distance by placing one foot directly in front of the other and counting "feet." You may need to estimate with decimals or fractions. . From B, choose a third point C and measure the distance from B to C in the same way. C cannot be A and the line from B to C cannot be perpendicular to the line from A to B. • Measure the distance from C to A in the same way. • Write the three distances in the box. • Determine the angle measure of the angle whose vertex is at B and is between the line connecting A and B and the line connecting B and C
Answers
To measure the distances and determine the angle, start by measuring the distance from point A to B, then from B to C, and finally from C back to A.
The angle at vertex B can be calculated by considering the lines connecting A to B and B to C.To begin, measure the distance from point A to point B by placing one foot directly in front of the other and counting "feet." This measurement will give you the distance between A and B. Next, choose a third point, C, which should not be the same as A, and measure the distance from point B to C using the same method.
After measuring B to C, measure the distance from point C back to point A, again using the same method. These three distances should be recorded.
To determine the angle at vertex B, consider the lines connecting points A and B and points B and C. The angle is formed between these two lines. Use geometric principles or trigonometric calculations to find the angle measure.
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Related Questions
Use series to approximate the definite Integral I
to within the indicated accuracy.
a) I=∫0.40√1+x2dx,(|error|<5×10−6)
b) I=∫0.50(x3e−x2)dx,(|error|<0.001)
Answers
a) I ≈ 0.4 + (1/6)(0.4)^3 - (1/48)(0.4)^5 + (1/160)(0.4)^7 - (5/1792)(0.4)^9 ≈ 0.423128.
b) I = ∫0.5 (x^3 e^-x^2) dx = (1/2) - (1/
a) To approximate the definite integral I = ∫0.4 √(1+x^2) dx with an error less than 5×10^-6, we can use the Maclaurin series expansion of √(1+x^2):
√(1+x^2) = 1 + (1/2)x^2 - (1/8)x^4 + (1/16)x^6 - (5/128)x^8 + ...
Integrating both sides, we have:
∫0.4 √(1+x^2) dx = x + (1/6)x^3 - (1/48)x^5 + (1/160)x^7 - (5/1792)x^9 + ...
To estimate the error, we need to find an upper bound for the remainder term. Using the Lagrange form of the remainder term, we have:
Rn(x) = (f^(n+1))(c) * (x-a)^(n+1) / (n+1)!
where f(x) = √(1+x^2), a = 0.4, and c is some value between 0 and x.
Since the nth derivative of f(x) is:
f^(n)(x) = (1/4^n) * (3/2) * (5/2) * ... * ((2n-1)/2) * (1+x^2)^(-n-1/2),
we have:
|f^(n+1)(c)| = (2n+1)! / (2^n * n!) * (1+c^2)^(-n-3/2)
Using the fact that c ≤ 0.4 and (1+c^2)^(-3/2) ≤ (1+0.4^2)^(-3/2) ≈ 0.669, we can simplify the expression for |f^(n+1)(c)| as:
|f^(n+1)(c)| ≤ (2n+1)! / (2^n * n!) * 0.669
To ensure that the error is less than 5×10^-6, we need to choose n such that:
|Rn(0.4)| ≤ (2n+1)! / (2^n * n!) * 0.669 * 0.4^(n+1) / (n+1)! < 5×10^-6
We can use a computer or calculator to solve for n, which gives n ≥ 8. Therefore, we can use the first 9 terms of the Maclaurin series to approximate the definite integral with an error less than 5×10^-6:
I ≈ 0.4 + (1/6)(0.4)^3 - (1/48)(0.4)^5 + (1/160)(0.4)^7 - (5/1792)(0.4)^9 ≈ 0.423128.
b) To approximate the definite integral I = ∫0.5 (x^3 e^-x^2) dx with an error less than 0.001, we can use the Maclaurin series expansion of e^-x^2:
e^-x^2 = 1 - x^2 + (1/2)x^4 - (1/6)x^6 + (1/24)x^8 - ...
Multiplying both sides by x^3 and integrating from 0 to 0.5, we have:
I = ∫0.5 (x^3 e^-x^2) dx = (1/2) - (1/
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Can someone plz help me? <3
Answers
Answer:
im not sure what part A is but part B is 6
390 divided by 65 equals 6 therfore he mowed 6 lawns last week.
Hope this help some
Which expression can we use to find the missing number in the pattern?3, 6, 12, \_\_\_, 48, 963,6,12,___,48,96
Answers
Answer: Answer Bellow
Step-by-step explanation:The numbers go up by 2x or x+x. Therefore the next number will be 96 since the last one was 48 because 48 plus 48 equals 96.
3×2=6 6×2=12 12×2=24 24×2=48 so 48×2=96
(I would appreciate brainiest)
A Price of a sweater was reduced from $40 to $25. By what percentage was the price of the sweater reduced?
Answers
40 to 25 is 15.
4-10
8-20
12-30
16-40
Meaning 15 is more than 30 less than 40.
Then just do 15/4 is 3.75 so 37.5%
So it has been reduced by 37.5%
the weights of oranges growing in an orchard are normally distributed with a mean weight of 8 oz. and a standard deviation of 2 oz. from a batch of 1400 oranges, how many would be expected to weigh more than 4 oz. to the nearest whole number? 1) 970 2) 32 3) 1368 4) 1295
Answers
The number of oranges that are expected to weigh more than 4 oz is:
1400 - (1400 × 0.0228)≈ 1368.
The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.
From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.
\(z = (x - μ) / σ\)
Wherez is the Z-score of the given data point x is the data point
μ is the mean weight of the oranges
σ is the standard deviation
Now, let's plug in the given values.
\(z = (4 - 8) / 2= -2\)
The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.
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what do the numbers on a centimeter ruler represent
Answers
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
What is a unit?
Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:
The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
Now,
As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5
there are always 10 vertical lines which represents a millimeter
and 10 lines means 10 millimeter.
hence,
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
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Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle TAS?
Angle CAM and angle TAS are supplementary angles that sum to 180°.
Angle CAM and angle TAS are vertical angles that are congruent.
Angle CAM and angle TAS are supplementary angles that are congruent.
Angle CAM and angle TAS are vertical angles that sum to 180°.
Answers
The relationship between angle CAM and angle TAS is that they are supplementary angles that sum to 180°.
Supplementary angles are two angles whose measures add up to 180°. In this case, angle CAM and angle TAS are formed by the intersection of line CT and line SM at point A.
Since they are formed by intersecting lines, angle CAM and angle TAS are adjacent angles that share a common vertex (point A) and a common side (line AM).
By definition, adjacent supplementary angles form a straight line, which measures 180°. Therefore, angle CAM and angle TAS are supplementary angles that sum to 180°.
It is important to note that vertical angles are pairs of opposite angles formed by the intersection of two lines. They are congruent, meaning they have equal measures.
However, the given information does not specify that angle CAM and angle TAS are formed by intersecting lines as vertical angles. Therefore, the correct relationship in this case is that they are supplementary angles, not vertical angles.
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What are the next three terms in the sequence, 500, 100, 20?
Answers
Answer: –1, 9, 19, 29, … (1 point)
38, 37, 32
40, 51, 62
39, 49, 59
38, 47, 56.
Step-by-step explanation: tried
on august 4, 2017 chen is paid a weekly gross of $300 for a 38-hour workweek. if he works 39 hours in week and 38 hours in week 2, how much is he due for the two weeks?
Answers
Chen is owed $750.00 for the two weeks.
In the first week, Chen worked for 39 hours. This implies that he would receive time and a half for the extra hour he worked, as he is paid hourly. As a result, he would be compensated as follows:
\(300 + \left( \frac{300}{2} \right) = 450\)
Therefore, for the first week, he would be due $450.00.In the second week, Chen worked for the typical 38 hours. As a result, he would be paid $300.00 for the second week.
To figure out how much he is owed for the two weeks, just combine the figures:
$450.00 + $300.00 = $750.00
Hence, Chen is owed $750.00 for the two weeks.
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If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
Answers
4/100 = 16/x
4x=1600
X= 400
So total pages should be 400.
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, then the entire book will have 400 pages.
To find the total number of pages in the entire book, we can set up a proportion based on the given information.
Let "x" be the total number of pages in the book.
The first chapter is 16 pages long and makes up 4% of the book, so the proportion can be set up as follows:
(16 pages) / (x pages) = 4% / 100%
To solve for "x," we can cross-multiply and solve for "x":
16 × 100 = 4x
1600 = 4x
Now, divide both sides by 4 to find the value of "x":
x = 1600 / 4
x = 400
So, the entire book has 400 pages.
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There are 500 employees in a firm, and 45% are female. A sample of 60 employees is selected randomly. a. Determine the standard error of the proportion. b. What is the probability that the sample proportion of females is between .40 and .55?
Answers
The probability that the sample proportion of females is between 0.40 and 0.55 is approximately 0.7717 or 77.17%.
To solve this problem, we will use the formulas for standard error and the z-score for proportions.
a. Standard Error of the Proportion:
The standard error (SE) of the proportion can be calculated using the formula:
SE = √((p × (1 - p)) / n)
where p is the population proportion and n is the sample size.
In this case, the population proportion (p) is 0.45 (45%) and the sample size (n) is 60.
SE = √((0.45 × (1 - 0.45)) / 60)
SE =√((0.45 × 0.55) / 60)
SE = √(0.02475 / 60)
SE ≈ 0.079
b. Probability Calculation:
To calculate the probability that the sample proportion of females is between 0.40 and 0.55, we need to standardize the values using the z-score formula and then use the standard normal distribution.
First, we need to calculate the z-scores for both proportions.
z1 = (0.40 - 0.45) / 0.079
z1 ≈ -0.633
z2 = (0.55 - 0.45) / 0.079
z2 ≈ 1.266
Next, we find the cumulative probability associated with these z-scores using a standard normal distribution table or calculator.
P(0.40 < p < 0.55) = P(-0.633 < z < 1.266)
Using the standard normal distribution table, we can find the corresponding probabilities for these z-scores.
P(-0.633 < z < 1.266) ≈ 0.7717
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The Test for Divergence for infinite series (also called the "n-th term test for divergence of a series") says that: lim an 70 → Σ an diverges 00 ns1 Notice that this test tells us nothing about an
Answers
Using the divergent test for infinite series the series ∑ n = 1 to ∞ (6\(n^5\) / (4\(n^5\) + 4)) diverges. Option C is the correct answer.
The Test for Divergence states that if the limit of the nth term, lim n → ∞ \(a_n\), is not equal to zero, then the series ∑ n = 1 to ∞ \(a_n\) diverges.
In the given series, the nth term is \(a_n\) = 6\(n^5\) / (4\(n^5\) + 4). Taking the limit as n approaches infinity:
lim n → ∞ \(a_n\) = lim n → ∞ (6\(n^5\) / (4\(n^5\) + 4))
By comparing the highest powers of n in the numerator and denominator, we can simplify the expression:
lim n → ∞ \(a_n\) = lim n → ∞ (6\(n^5\) / 4\(n^5\)) = 6/4 = 3/2 ≠ 0
Since the limit is not equal to zero, according to the Test for Divergence, the series ∑ n = 1 to ∞ (6\(n^5\) / (4\(n^5\) + 4)) diverges.
Therefore, the correct answer is c. diverges.
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The question is -
The Test for Divergence for infinite series (also called the "n-th term test for the divergence of a series") says that:
lim n → ∞ a_n ≠ 0 ⇒ ∑ n = 1 to ∞ a_n diverges
Consider the series
∑ n = 1 to ∞ (6n^5 / (4n^5 + 4))
The Test for Divergence tells us that this series:
a. converges
b. might converge or might diverge
c. diverges
The Bermuda Triangle is a triangular-shaped region that has side lengths of 959 miles, 1,011 miles, and 1,033 miles.
Is the following statement True or False?
The Bermuda Triangle forms a right triangle.
Answers
Answer:
False.
Step-by-step explanation:
Use Pythagorean theorem.
919681+1022121=1067089
1941802≠1067089
so the triangle is acute, not right.
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?
Answers
Answer: \(1728\ in.^3\)
Step-by-step explanation:
Given
The dimension of the rectangular base aquarium is \(24\ in.\times 8\ in.\times 10\ in.\)
The gap between top and water level is \(1\ in.\) i.e. water is filled up to a height of \(10-1=9\ in.\)
Now, the dimensions of the water in the aquarium is \(24\ in.\times 8\ in.\times 9\ in.\)
The volume of a rectangular base prism is \(l\times b\times h\)
The volume of water in the aquarium is
\(\Rightarrow V=24\times 8\times 9=1728\ in.^3\)
Pls help, my moms gonna tell if i fail
Answers
Answer:
0 and 3, I think those are the answers cause they make the most sense
Step-by-step explanation:
if you are given a box with sides of 7 inches, 9 inches, and 13 inches, what would its volume be?
Answers
To calculate the volume of a rectangular box, you multiply the lengths of its sides.
In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:
Volume = Length × Width × Height
Volume = 7 inches × 9 inches × 13 inches
Volume = 819 cubic inches
So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.
In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.
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2. Formulate the following problems as a pair of equations, and hence find their solutions: (1) Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.
Answers
Answer:
her speed in still water = 11 km/hour
the speed of the current = 9 km/hour
Step-by-step explanation:
x = Ritu's speed of rowing.
y = the sites of the river water flowing
x + y = 20 km / 2 hours = 10 km / hour
x - y = 4 km / 2 hours = 2 km / hour
x = 2 + y
2 + y + y = 20
2y = 18
y = 9 km/hour
x = 2 + y = 2 + 9 = 11 km/hour
Speed of water while upstream is (x + y) km/hr,
downstream is (x – y) km/hr,
2(x + y) = 20 x + y = 10 ………… (i)
2(x – y) = 4 x – y = 2 …………… (ii)
By Adding eqn. (i) and eqn.x + y = 10
x - y = 2
_______________
x = 12
\(x = \frac{12}{2} = 6\)
(ii), Substituting the value,
x = 6 in eqn.(i), x + y = 10 6 + y = 10 y = 10 – 6
∴ y = 4
∴ Speed of Ritu in still water, x = 6 km/hr. in current water, y = 4 km/hr.
WILL GIVE FAST BRAINLIEST
3(2x^4y^6)^5 / (3x^6y^3)^4
Fraction btw show work or no brainly
Answers
Answer:
32y^18/27x^4
Step-by-step explanation:
I factored the numerator and denominator and canceled the common factors
Also, can you mark me as the brainliest answer?
Thanks.
4. Fill in the following equivalents:
1 Tbsp. =
1/4 c. =
1 c. =
1 c. =
1/3 c. =
Answers
Based on the conversion factors, the equivalent values are as follows:
1 Tbsp. = 1/16 c
1/4 c. = 4 Tbsp
1 c. = 16 Tbsp
1 c. = 1/2 pint
1/3 c. = 80 mL
What are conversion factors?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.
The conversion factor for Tbsp to c is 1/4, which means that 1 Tbsp. is equal to 1/4 c.
The conversion factor for c to mL is 236.6, which means that 1 c. is equal to 236.6 mL (rounded to one decimal place).
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If an object is propelled upward from ground level with an initial velocity of 80. 1 feet per second? It’s height h in feet t seconds later is giving by the equation h= -16ft+ 80. 1t after how many seconds does the object hit the ground
Answers
The object will hit the ground after 5.01 seconds.
When an object is propelled upward from ground level with an initial velocity of 80.1 feet per second then its height h in feet t seconds later is giving by the equation,
h= -16t^2+ (80.1)t
When the object hit the ground, the height of the object h would be zero.
To find: time (t) when h = 0
Substitute h = 0 in given equation.
h = -16t^2+ (80.1)t
0 = -16t^2+ (80.1)t
16t^2 - (80.1)t = 0
t (16t - 80.1) = 0
t = 0 or 16t - 80.1 = 0
t = 0 OR t = (80.1)/16
t = 0 OR t = 5.01
Therefore, it will hit the ground after 5.01 seconds.
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In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
Answers
The total number of skittles in the bag will be 65.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that In a pack of Skittles, 20% are red. If 13 are red. The total number of skittles will be calculated as,
N = ( 13 / 20 ) x 100
N = 130 / 2
N = 65
Therefore, the total number of skittles in the bag will be 65.
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An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answers
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
if a research team increases the sample size for a study, the power of their statistical tests will:
Answers
As the sample size gets larger, the z value increases therefore we will more likely to less likely to fail to reject the null hypothesis, thus the power of the test increases.
What is Statistical tests?Statistical tests provide a mechanism for making quantitative decisions about one or more processes. The intent is to determine whether there is sufficient evidence to "reject" speculations or hypotheses about the process. If you want to keep pretending that you "believe" the null hypothesis is true, then not rejecting it can do you good. Alternatively, it may indicate that there is not yet enough data to "prove" something by rejecting the null hypothesis. A classic application of statistical testing is process control studies. Suppose a manufacturing process is interested in a photomask with an average linewidth of 500 microns. The null hypothesis in this case is that the average linewidth is 500 microns. This statement implies the need to characterize photomasks with average linewidths much larger or smaller than 500 microns. This leads to the alternative hypothesis that the average linewidth is not equal to 500 microns. This is a two-way substitution as it protects against substitution in the opposite direction. In other words, the line width is either too small or too large.
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Please help me this is hard
Answers
Answer:
-1
-3
-5
Step-by-step explanation:
just substitue each value of x into the equation and u will get your answer
Answer:
-1, -3, -5
Step-by-step explanation:
To find why you simply plug in the value they give you for x in the formula.
The formula provided is y=-2x-2
The first x value is -1.
Plug it into the formula.
y=-2(-1)-3
Solve.
y=2-3
y=-1
The first y value is -1.
The second x value is 0.
Plug it into the formula.
y=-2(0) -3
Solve.
y=-3
The second y value is -3
The third x value is 1.
Plug it into the formula,
y=-2(1)-3
Solve.
y=-2-3
y=-5
The third y value is -3.
PLS HELP IF U KNOWWWWWWWWWWWWWWWWWWWWWW
Answers
Answer:
you would put a full dot on 7 and make an arrow going to the left
Step-by-step explanation:
Answer:
A solid dot over the 8 with the arrow going to the left
Step-by-step explanation:
56/8=7
The vertices of a triangle are L(0,1), M(1, - 2), and N( –2,1). Draw the figure and its image after a translation 5 units right.
Polygon
Undo
Redo
x Reset
104
9
8
7
6
5
4
3
2
-10-9-8-7
-5 -5 -4
-3
-2
- 1
2
3
4
5
6
7
3
10
-2
-3
-4
-5
-6
Answers
Answer:
Step-by-step explanation:
After translation 5 units the vertices become L'(5,1), M'(6, - 2) and N'( 3,1).
The figure is attached below.
Use the concept of coordinate defined as:
A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines is called the coordinates.
The given vertices are:
L(0,1), M(1, - 2), and N( –2,1)
Since it is translating 5 units right.
Therefore,
x-coordinate of each vertex increased by 5 units.
So, the new position of vertices after translation is:
L(0,1) transformed into L'(5,1)
M(1, - 2) transformed into M'(6, - 2)
N( –2,1) transformed into N'( 3,1)
Hence the figure is attached below.
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Consider the following inequality:x <1Step 2 of 2: What type of interval does the following inequality represent?
Answers
all the x number smaller than 1
Explanation
the symbol
\(<\)represents an inequality, it means smaller than , this is Strict inequalities without the “or equal to” component are indicated with an open dot on the number line and a parenthesis using interval notation.so in thsi case 1 is not part of the solution set
so, as 1 is not part of the solution this is a open interval
\(undefined\)all the x number smaller than 1
I hope this helps you
Of Jamia’s 10 scrunchies, ⅖ are pink. How many are pink?
Answers
Answer:
4 are pink
Step-by-step explanation:
We have an uneven denominator So basically we Times 2/5 by 2/2
and we get 4/10
So out of the 10, 4 are Pink.
I hope this helps!
a store bought a pair of shoes for $45 the store manager decided to add 45% markup for their selling price what is the selling price for the pair of the shoes
Answers
Answer:
$65.25
Step-by-step explanation:
To find 45% of $45:
45÷100 = 0.45
0.45 x 45 = $20.25
Now add to original price:
$45+$20.25 = $65.25
0.45*$45 = $ 20,26 is equal to 45%
Now you can just add the before price to the markup which is 20.25 and the answer will be €65.25
a poll of new york residents is conducted in which 5000 new york residents are randomly selected and asked if they ever visited the empire state building. the population for this study is: a. the 5000 new york residents selected b. all new york residents c. new york residents who live in manhattan d. bmcc students