Out of the given fractions, 9/20, 14/35, and 1/16 are terminating decimals, while 1/35 is a non-terminating decimal.A terminating decimal is a decimal number that ends or terminates after a finite number of digits.
In other words, the decimal representation of the fraction does not go on forever.
To determine if a fraction is a terminating decimal, we need to convert it into a decimal by dividing the numerator by the denominator. If the result is a finite decimal, then the fraction is a terminating decimal; otherwise, it is a non-terminating decimal.
Now, let's apply this method to the fractions given in the question:
9/20: To convert 9/20 into a decimal, we divide 9 by 20, which gives 0.45. Since the decimal terminates after two digits, 9/20 is a terminating decimal.
1/35: To convert 1/35 into a decimal, we divide 1 by 35, which gives 0.02857142857... The decimal goes on forever, so 1/35 is a non-terminating decimal.
14/35: To convert 14/35 into a decimal, we divide 14 by 35, which gives 0.4. Since the decimal terminates after one digit, 14/35 is a terminating decimal.
1/16: To convert 1/16 into a decimal, we divide 1 by 16, which gives 0.0625. Since the decimal terminates after four digits, 1/16 is a terminating decimal.
In summary, out of the given fractions, 9/20, 14/35, and 1/16 are terminating decimals, while 1/35 is a non-terminating decimal.
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PLEASE I NEED THIS SO BADLY
Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 387.79 square inches.
If the diameter of the tub is 10 inches, what is its height? Use π = 3.14.
A: 7.35 inches
B: 7.65 inches
C: 14.7 inches
D: 17.35 inches
Option (A): The height of the given ice cream cylindrical tubs is 7.35 inches.
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. An infinite curvilinear surface is another way to describe a cylinder. A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. The area of three-dimensional shapes often refers to the surface area. Square units are used to denote the surface area.
Given,
The total surface area of the given cylindrical tub = 387.79 in.²
The diameter of the tub = 2r = 10 inches
where r = radius
r = 10/2 = 5 inches
W are asked to find the height h of the tub
The formula for the total surface of a cylinder = 2πr² + 2 π rh
387.79 = 2 * 3.14 * 5*5 + 2 * 3.14 * 5 * h
387.79 - 157 = 31.4h
h = 7.35 inches
Therefore the height of the given ice cream cylindrical tubs is 7.35 inches.
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Answer:
7.35 inches
Step-by-step explanation:
I took the test and got it right :)
Pie chart/measurement word problem. Please show working out, 100 PTS
Answer:
1.216 2.90 degrees
Step-by-step explanation:
1.(100-10-13-13-14-26)/100900=216
2. It is a 90 degree angle
Which sentence BEST describes what operation should be performed to solve the equation -2j = 15?
Division by -2
Step-by-step explanation:The properties of equality allow us to manipulate equations in order to solve for a variable.
Properties of Equality
The properties of equality, also referred to as PoEs, describe how an equation can be changed while remaining true. There are numerous PoEs such as the reflexive, substitution, and addition properties of equality. However, for the purposes of this question, the most important is the division property of equality. The division property of equality states that if both sides of an equation are divided by the same number, the equation is still true. In other terms:
if a = b, then [tex]\displaystyle\frac{a}{c} =\frac{b}{c}[/tex]Solving for a Variable
To find an unknown variable, we need to isolate the variable. This means using the properties of equality and other techniques to get the variable all by itself on one side of the equation. To isolate j, we need to divide both sides of the equation by -2. This will isolate j and maintain equality as shown by the division property of equality.
[tex]\frac{-2j}{-2}= \frac{15}{-2}[/tex]j = [tex]-\frac{15}{2}[/tex]By dividing both sides by -2, we can see that j = -15/2.
what is 15 in a decimal?
The value of 15 percent after converted into decimal is given by 0.15.
Convert percent into decimal :
One percent represents the one part by converting it into hundred equal parts.
⇒ 1 percent = ( 1 / 100 ) part
⇒ 1 percent = ( 0.01 ) in decimals
Substitute the value of 15 percent to get it into decimals we get,
⇒ 15 percent = ( 15 ) × ( 0.01 ) in decimals
⇒ 15 percent = ( 15 × 0.01 ) decimals
⇒ 15 percent = ( 0.15 ) decimals
Therefore, after converting 15 percent into decimals it is equal to 0.15.
The above question is incomplete , the complete question is :
What is 15 percent in a decimal ?
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Pepe Rodriquez works 42.5 hours at $6.20 per hour. He makes no tips nor bonuses. Anything over 40 hours is paid at time-and-a-half. What are his earnings?
A. $255.75
B. $263.50
C. $271.25
D.$305.66
Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248.
The correct answer is B. $263.50, which is calculated by taking the standard pay of 40 hours at $6.20 per hour ($248) and adding the time-and-a-half pay of 2.5 hours at $9.30 per hour ($23.25).
Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248. The remaining 2.5 hours would be paid at time-and-a-half, which is 1.5 times the hourly rate of $6.20, equaling $9.30 per hour. The total pay for the 2.5 hours is therefore $9.30 x 2.5 hours = $23.25. Adding the standard pay of $248 to the time-and-a-half pay of $23.25 yields a total of $263.50. Therefore, the correct answer is B. $263.50.
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Triangle ABC is shown on the coordinate plane.
If ∆ABC is reflected over the x-axis and then dilated by a scale factor of 3 about the origin, where are the vertices of ∆A'B'C' located?
(6, 6), (2, -4), and (0,8)
(-9, -9), (-3, -6), and (0, -12)
(9, 9), (3, 6), and (0, 12)
(-6, -6), (-2,-4), and (0, -8)
Therefore, the vertices of ∆A'B'C' are located at (-18, -18), (-6, 12), and (0, -24), and the answer is not listed among the given options.
What is triangle?A triangle is a geometric shape that consists of three line segments or sides that intersect at three points called vertices. The interior angles of a triangle always add up to 180 degrees, and the side opposite to the largest angle is the longest side, which is called the hypotenuse. Triangles are commonly used in geometry and in many branches of mathematics, as well as in real-world applications such as engineering, architecture, and physics.
Here,
To reflect ∆ABC over the x-axis, we need to negate the y-coordinates of each vertex. Then, to dilate the reflected triangle by a scale factor of 3 about the origin, we need to multiply each coordinate by 3.
The coordinates of the reflected triangle will be (-6, -6), (-2, 4), and (0, -8). Multiplying each coordinate by 3, we get (-18, -18), (-6, 12), and (0, -24).
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the average height for 14 year old boy is
According to the Centers for Disease Control and Prevention (CDC) growth charts, the average height for a 14-year-old guy in the United States is about 5 feet, 5 inches (165 cm). Some 14-year-old guys may be taller or shorter than the average.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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Solve the area of a triangle formula for the variable b: A= 1/2 bh
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read more..
Answer: I am not understanding what you want us to help you with. In long form is says Area= 1/2 base x height
Step-by-step explanation:
Evaluate the following.
Click on "Not a real number" if applicable.
-
√16
√-
- 81
=
=
0
0
Not a
real
number
X
Answer:not real
Step-by-step explanation:
Make Sense and Persevere Gabriela is selling
friendship bracelets for a school fundraiser.
After the first day, she has 234 bracelets
left. After the second day, she has 222 left.
Assuming the sales pattern continues and
it is an arithmetic sequence, how many
bracelets will Gabriela have left to sell after
the fifth day?
Answer:
Given that 234 tickets remain after the first day, then a 1 = 234 a_1=234 a1=234. So, Grabriela will have 186 bracelets \text{\color{#c34632}{186 bracelets}} 186 bracelets left to sell after the fifth day.
renata is a 5-year-old girl from a poor family in the united states, who is about to enter kindergarten. according to recent statistics, the chances of renata being ready to complete kindergarten tasks when she enters school are about:
The chances of Renata being ready to complete kindergarten tasks when she enters school are about 1/2. The solution has been obtained by using the concept of probability.
What is probability?
To calculate the chance of an event, use the mathematical notion of probability. It only enables us to estimate the likelihood that an event will take place. On a scale of 0 to 1, where 0 represents impossible and 1 represents a certain event.
We are given that Renata is a 5-year-old girl from a poor family in the united states, who is about to enter kindergarten.
The chances of Renata being ready to complete kindergarten tasks when she enters school are about 1/2 because it is not necessary that she will be able to do all the tasks. She might be able to do and she might not be able to do.
So, there are equal chances of both.
Hence, chances of Renata being ready to complete kindergarten tasks are 1/2.
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Select a counter-example that makes the conclusion false. 7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1 Conclusion: the difference of two positive numbers is always positive. Counterexample:
Counter example:
3 - 7 = -4
5 - 8 = -3
8 -9 = -1
Conclusion: the difference between two positive numbers can also be a negative number.
What is meant by negative numbers?
Given are given a set of difference of positive numbers.
7 - 3 = 4
8 - 5 = 3
9 - 8 = 1
The conclusion for this difference is given as the difference between two positive numbers is always positive.
We are asked to give a counter example.
Now a counterexample means an example that makes the given conclusion invalid.
So the counterexample of given example would be to prove the difference between positive numbers can also be a negative number.
For example,
3 - 7 = -4
5 - 8 = -3
8 -9 = -1
Therefore using the same numbers but subtracting the larger numbers from smaller number, we proved that the difference between positive numbers can also be a negative number.
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5+5multiplied 5-5 divided by 5
prove this is correct please include working out:
πr_c^2h_c / 4 = πr_p^2h_p / 5
h_c / h_p = (r_p / r_c)^2 * (5 / 4)
The expression below are correct:
πr_c^2h_c / 4 = πr_p^2h_p / 5
h_c / h_p = (r_p / r_c)^2 * (5 / 4)
How can we prove this assertion?To prove that the equation
πr_c^2h_c / 4 = πr_p^2h_p / 5
and
h_c / h_p = (r_p / r_c)^2 * (5 / 4)
are correct, we can use some algebraic manipulation and the properties of ratios.
Starting with the first equation, we can simplify it as follows:
πr_c^2h_c / 4 = πr_p^2h_p / 5
5πr_c^2h_c = 4πr_p^2h_p (multiply both sides by 20 to get rid of fractions)
5r_c^2h_c = 4r_p^2h_p (cancel out π on both sides)
Next, we can rearrange the second equation to solve for h_c:
h_c / h_p = (r_p / r_c)^2 * (5 / 4)
h_c = h_p * (r_p / r_c)^2 * (5 / 4) (multiply both sides by h_p)
Now we can substitute this expression for h_c into the simplified version of the first equation:
5r_c^2h_c = 4r_p^2h_p
5r_c^2(h_p * (r_p / r_c)^2 * (5 / 4)) = 4r_p^2h_p (substitute h_c)
5r_c^2r_p^2(5/4) = 4r_p^2h_p (simplify)
5r_c^2 = (16/25)h_p (divide both sides by 4r_p^2)
Finally, we can substitute this expression for h_p into the earlier expression we found for h_c:
h_c = h_p * (r_p / r_c)^2 * (5 / 4)
h_c = (5/16)r_c^2 (substitute for h_p)
h_c / r_c^2 = 5/16
This means that the ratio of the height to the radius squared for cylinder c is 5/16, which is a constant value. We can also rearrange the simplified first equation to solve for h_p in terms of r_c and r_p:
5r_c^2h_c = 4r_p^2h_p
h_p = (5/4)h_c(r_c/r_p)^2 (divide both sides by 4r_p^2 and multiply by 5/4)
Substituting this expression for h_p into the second equation, we get:
h_c / h_p = (r_p / r_c)^2 * (5 / 4)
h_c / ((5/4)h_c(r_c/r_p)^2) = (r_p / r_c)^2 * (5 / 4) (substitute for h_p)
1 / ((5/4)(r_c/r_p)^2) = (r_p / r_c)^2 * (5 / 4) (simplify)
Now we can simplify this expression using the fact that (r_p / r_c)^2 = 1 / (r_c / r_p)^2:
1 / ((5/4)(r_c/r_p)^2) = (1 / (r_c/r_p)^2) * (5/4)
1 / (5/4) = (r_c/r_p)^4 * (5/4)
4/5 = (r_c/r_p)^4
(r_c/r_p)^2 = √(2/√5) or -(√2/√(√5))
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The equation T=2π√L/32 models the relationship between the length of a pendulum L, in feet, and its period T, in seconds. To the nearest foot, which is the length of a pendulum with period 8 seconds?
The length of a pendulum with period 8 seconds would be, 316 feet.
What is Period of a simple pendulum?
The formula for the period T of a pendulum is T = 2π Square root of √L/g, where L is the length of the pendulum and g is the acceleration due to gravity.
The equation relating the period T and length L of a pendulum is given by:
T = 2π√(L/32)
We can rearrange this equation to solve for L in terms of T:
L = 32(T/2π)²
To find the length of a pendulum with period 8 seconds, we can substitute T = 8 into the above equation and solve for L:
L = 32(8/2π)²
L ≈ 316 feet
Rounding this value to the nearest foot, we get:
L ≈ 316 feet (to the nearest foot)
Therefore, The length of a pendulum with period 8 seconds would be, 316 feet.
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what is 2.8 liter means in enfine?
The 2.8 liter is refers to the engine's displacement or volume
In the context of an engine, "2.8 liter" typically refers to the engine's displacement or volume. Specifically, it means that the engine can hold 2.8 liters (or 2,800 cubic centimeters) of air and fuel mixture in its cylinders.
The displacement of an engine is an important factor in determining its power and performance characteristics, as it influences the amount of air and fuel that can be burned during each engine cycle.
Generally, larger engine displacements are associated with more power and torque, although other factors such as the engine's design and technology also play a role.
Therefore, 2.8 liter is engine displacement
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what is calculate percent difference
Percent difference is a measure of the relative difference between two values, expressed as a percentage.
It is determined as follows:
% difference = |(Value 1 - Value 2) / (Average of Values 1 and 2)| x 100%
where:
The two values being compared are Value 1 and Value 2.| | represents the absolute value of the expression contained within it.The sum of Value 1 and Value 2 is divided by 2 to get the average.Assume that the value of a quantity in 2019 is 100 and that the same amount in 2020 is 120. The percentage difference between these two values is determined as follows:
Percent difference = |(100 - 120) / ((100 + 120) / 2)| x 100%
= |(-20) / (220 / 2)| x 100%
= 9.09%
This signifies that the quantity's value increased by 9.09% between 2019 and 2020. If the percentage difference is negative, it signifies that the quantity's value has fallen by that proportion.
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how to convert ml in liter
The conversion from mililitres to litre will be done using the relation between the two, where 1 liter has 1000 mililitres.
Firstly know the abbreviations. In this question, ml represents mililitres. Now, The mentioned problem is from unit conversion. As we know the relation, that one litre contains 1000 milliliters of any fluid. So, this is the method of conversion from mililitres to litre.
We can understand given conversion through example. Let us say Zainab has a bottle of 2000 mililitres. Now how many litres of liquid can this bottle contain?
1000 mililitres is present in 1 liter
So, 2000 mililitres will contain = 2000/1000
Performing division
2,000 mililitres will contain 2 litre liquid.
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You pay a processing fee and a daily fee to rent a beach house.
The table shows the total cost of renting the beach house for different numbers of days.
Days
Total cost (dollars)
2
4
6
8
246
450
654
858
a. Can the situation be modeled by a linear equation?
Expluin.
b. What is the processing fee? the daily fee?
c. You can spend no more than $1200 on the beach house rental. Whut is the maximum number of days you can rent the beach house?
The situation cannot be modeled by a linear equation. The processing fee is $42 and the daily fee is $102.With a budget of $1200maximum number of days you can rent the beach house is 6 days
Renting a Beach House - Processing Fee, Daily Fee, and Total Cost Analysisa. To determine if the situation can be modeled by a linear equation, we can plot the data on a graph with days on the x-axis and total cost on the y-axis.
When we plot the data, we can see that it does not form a straight line, which means the situation cannot be modeled by a linear equation.
b. To find the processing fee and the daily fee, we can use the information given in the table.
Let's call the processing fee "p" and the daily fee "d". We can set up two equations to represent the total cost for two different numbers of days:
2d + p = 246
4d + p = 450
Subtracting the first equation from the second, we get:
2d = 204
So, d = 102.
Substituting d = 102 into the first equation, we get:
2(102) + p = 246
Solving for p, we get:
p = 42
Therefore, the processing fee is $42 and the daily fee is $102.
c. We can use the equation for the total cost with the processing fee and daily fee we found in part (b) to determine the maximum number of days we can rent the beach house for $1200.
8d + p = 858
Substituting p = 42 and d = 102, we get:
8(102) + 42 = 858
Simplifying, we get:
840 + 42 = 882
So, we can rent the beach house for a maximum of 6 days with a budget of $1200
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Please i need help i dont fully understand it
(05.01)
A scale drawing of a living room is shown below. The scale is 1 : 40.
A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 4 inches.
Show your work to determine the area of the room in square feet. (5 points)
This value is approximate. The more accurate answer is roughly 266.66667 square feet but even this value is approximate as well.
========================================================
Explanation:
The scale of 1:40 means 1 inch on paper corresponds to 40 inches in real life. This type of notation is typically found on maps in the bottom corner.
What we'll do is multiply by 40 to go from the measurement on paper to the measurement in real life.
6 inches on paper gives 6*40 = 240 inches in real life. Divide by 12 to convert from inches to feet: 240/12 = 20. The room is 20 feet in length.4 inches on paper gives 4*40 = 160 inches in real life. This converts to 160/12 = 13.333 feet roughly, which is the approximate width of the room.In short,
6 inches on paper ---> 20 feet in real life4 inches on paper ---> 13.333 feet in real life (approximate)From here we multiply the length and width to get the area.
area = length*width
= 20*13.333
= 266.66 which rounds to about 267 square feet.
Feel free to round to some other level of precision. I'm rounding to the nearest square foot because that's the typical precision when it comes to listing sizes of houses and apartments.
pls help me and get this answer right
What type of slope and y-intercept of the line y = 1. 4x - 0. 9
the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9).
The equation of the line y = 1.4x - 0.9 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Comparing the given equation with the slope-intercept form, we can see that the slope is 1.4 and the y-intercept is -0.9. Therefore, the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9). The y-intercept, on the other hand, is the point where the line intersects the y-axis. In the equation y = mx + b, b is the y-intercept. In the case of the given equation, we can see that the y-intercept is -0.9. This means that the line intersects the y-axis at the point (0, -0.9). The slope and y-intercept are important characteristics of a line because they can be used to graph the line and to write its equation in slope-intercept form. In addition, they can be used to calculate the x-intercept, which is the point where the line intersects the x-axis, and to determine the equation of a parallel or perpendicular line.
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Question
HELP NEEDED FAST!!
Write the equation of the line in slope-intercept form that passes through the coordinates (6, -5) and (8, -6).
Responses
y−6=−12(x+5)
y minus 6 is equal to negative 1 half times open paren x plus 5 close paren
y=−12x−2
y is equal to negative 1 half x minus 2
y=12x−8
y is equal to 1 half x minus 8
y=−12x+8
An equation of the line in slope-intercept form that passes through the coordinates (6, -5) and (8, -6) is: B. y = -1/2(x) - 2; y is equal to negative 1 half x minus 2
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (6, -5), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-5) = (-6 - (-5))/(8 - 6)(x - 6)
y + 5 = (-6 + 5)/(8 - 6)(x - 6)
y + 5 = -1/2(x - 6)
y = -1/2(x) + 3 - 5
y = -1/2(x) - 2
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A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x.
Now, Let two point on the line are (3, 3) and (8, 7).
Hence, The value of slope is,
Slope = (7 - 3) / (8 - 3)
Slope = 4/5
Thus, We get;
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
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How many litres of pure (100%) acid must be added to 4 L of a solution that is 88% acid by volume in order to obtain a 92% solution?
A volume of 2 liters is needed to obtain a 92 % solution.
How to use weighted averages to determine the quantity of pure acid needed for the preparation of a solution
In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:
(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)
Where V is the volume needed of the pure acid, in liters.
3.52 L + V = 3.68 L + 0.92 · V
0.08 · V = 0.16 L
V = 2 L
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the cost of 50 pounds is?
Answer:
Step-by-step explanation:
i hope this is right but i think it's 40 dollars.Pls helppppppppppp!!
Answer:
There are 2 iron (Fe) atoms, 3 oxygen (O) atoms, and 3 carbon (C) atoms on both the reactant and product side of the equation. Therefore, the equation is balanced.
Answer:
There is 2 Iron(Fe) atoms , 6 Oxygen atoms and 3 carbon atom on both side so this equation is balanced I believed.
This data set shows the scores that each of the students in a class earned on a quiz.
87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100
Identify the measure that is most likely considered best to describe the variability in the quiz scores.
Select from the drop-down menus to correctly complete the statement.
Since there appear to be
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in the data set, and since the
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is close to the median, the
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can be considered best to describe the variability in the quiz scores
Since there appear to be no outlier in the data set, and since the mean is close to the median, the range can be considered best to describe the variability in the quiz scores
How to determine the measure of variabilityThe dataset is given as
87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100
There are no outliers in the dataset
This means that the measure of variability to use is the range
Also, it means that the median and the mean are close to one another
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please help ASAP!!!!!!!!
The diameter of the circle is 30 units, and the equation is:
(x + 3)^2 + (y - 3)^2 = 15^2
How to find the equation of the circle?We know that the diameter of the circle is defined by the points (12, 3) and (-18,3)
Notice that the y-value is the same one in both points, then the diameter is the difference between the x-values:
d = 12 - (-18) = 30
The diameter is 30 units.
Then the radius, half the diameter, is 15 units.
To write the circle equation we need to find the center.
Because of the points (12, 3) and (-18,3) we know that the y-value of the center must be y = 3.
And the x-value is the midpoint between x = -18 and x = 12, that is:
x = (-18 + 12)/2 = -6/2 = -3
The center is at (-3, 3)
Remember that the equation for a circle of center (a, b) and radius R is:
(x - a)^2 + (y - b)^2 = R^2
Here the center is (-3, 3) and the radius is 15, so the equation is:
(x + 3)^2 + (y - 3)^2 = 15^2
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How many cm in 40 inches?
To convert cm to inches, divide your cm figure by 2.54 or multiply it by 0.3937. There are 2.54 cm in 1 inch.
So, 40 inches * 2.54 cm/inch = 101.6 cm
A centimeter (cm) is a decimal fraction of the meter, the System of UnInternational its (SI) unit of length, approximately equivalent to 39.37 inches.
To calculate a value in inches to the corresponding value in centimeters, just multiply the quantity in inches by 2.54 (the conversion factor).
Here is the formula:Value in centimeters = value in inches × 2.54There are 101.6 cm in 40 inches.This can be calculated by using the conversion factor of 1 inch equals 2.54 cm.
So, 40 inches can be converted to centimeters by multiplying 40 by 2.54:
40 inches * 2.54 cm/inch = 101.6 cm
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