The conversion of 20 km in miles is 12.42742 miles.
Kilometer (km) and mile are both units of distance or length, but they are used in different parts of the world.
A kilometer is a metric unit of length used in most countries outside the United States. It is defined as 1,000 meters, or approximately 0.62 miles.
To convert kilometers (km) to miles, you can use the conversion factor of 1 km = 0.621371 miles.
So, to convert 20 km to miles, you can multiply 20 by 0.621371:
20 km * 0.621371 miles/km = 12.42742 miles
Therefore, 20 kilometers is approximately equal to 12.42742 miles.
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Addison's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 21 regular sodas and 29 diet sodas. What percentage of the sodas served were regular?
From the given information provided, out of total sodas served, 42% of the sodas served were regular.
To find the percentage of sodas served that were regular, we need to calculate the ratio of the number of regular sodas to the total number of sodas served, and then express this ratio as a percentage.
The total number of sodas served is the sum of regular and diet sodas:
Total sodas served = 21 + 29 = 50
The number of regular sodas served is 21.
To find the percentage of sodas served that were regular, we can use the following formula:
Percentage of regular sodas = (Number of regular sodas / Total number of sodas served) x 100%
Substituting the values, we get:
Percentage of regular sodas = (21 / 50) x 100%
Percentage of regular sodas = 42%
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Select the true statement.
A.
All rhombuses are squares.
B.
All trapezoids are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
Answer:
C
Step-by-step explanation:
Because it's a closed figure with 4 sides
Answer:
D. All squares are parallelograms.
Step-by-step explanation:
A parallelogram is a quadrilateral where the opposite sides are parallel, opposite angles are equal
A square is a special type of parallelogram where the opposite sides are not only parallel but all sides are equal and opposite angles are at 90°
The table displays data collected, in meters, from a track meet.
one third 2 4 1
7 two thirds four fifths five halves
What is the median of the data collected?
The median of the data is approximately 1.43 meters.
Describe Statistics?Brief informative coefficients known as descriptive statistics are used to sum up a particular data set, which may be a sample of a population or a representation of the complete population. Measures of central tendency and measurements of variability make up descriptive statistics (spread). The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.
KEY LESSONS
The properties of a data collection are summed up or described using descriptive statistics.
Measures of central tendency, measures of variability (or spread), and measures of frequency distribution make up the three fundamental kinds of measures in descriptive statistics.
The center of the data set is described by measures of central tendency (mean, median, mode).
To find the median of a set of data, we need to first arrange the data in order from least to greatest.
2, 4, 1, 7/3, 4/5, 5/2
Next, we find the middle value(s) of the ordered data.
Since we have six values, the middle is between the 3rd and 4th values.
2, 4, 1, [7/3, 4/5], 5/2
To find the median, we take the average of the two middle values:
(7/3 + 4/5) / 2 = (35/15 + 8/15) / 2 = 43/30 ≈ 1.43
Therefore, the median of the data is approximately 1.43 meters.
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the roman numeral lvii represents which of these numbers?
A recipe requires 1, cups of milk for every y of a cup of flour. What is the ratio of
cups of milk to one cup of flour?
Answer:
1y is your answer, 1:y
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think it could be any number only if they gave you the number for y
The length of this rectangle is 2 3/4 feet. The width is 8 1/2 feet. what is the area of the rectangle in sq feet
The area of the rectangle is 23.375 sq feet.
What is area of rectangle ?
The area of a rectangle is the product of its length and width. It is a measure of the region enclosed by the rectangle. In the context of geometry, the area is expressed in square units, such as square inches, square feet, or square meters.
Given by the question:
To find the area of the rectangle, we need to multiply the length and width.
Length = 2 3/4 feet = 11/4 feet
Width = 8 1/2 feet = 17/2 feet
Area = Length x Width
Area = (11/4) x (17/2)
Area = 93.5/4 sq feet
So the area of the rectangle is 23.375 sq feet (when rounded to three decimal places).
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a relative frequency distribution for quantitative data identifies multiple choice question. the proportion of observations that occur in each bin. the total number of actual observations that occur below the upper limit of a particular bin. the total proportion of observations that occur below the upper limit of a particular bin. the actual number of observations that occur in each bin.
A relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin.
Relative frequency distribution is a type of frequency distribution that shows the proportion or percentage of observations that fall into each bin or class interval. It is calculated by dividing the frequency of each bin by the total number of observations. This allows us to compare the relative frequencies of different bins, and see how the data is distributed across the range of values.
For example, if we have 100 observations and 20 of them fall into the first bin, the relative frequency of the first bin would be 20/100 = 0.2 or 20%. This means that 20% of the observations fall into the first bin.
In summary, a relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin, allowing us to compare the relative frequencies of different bins and see how the data is distributed across the range of values.
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what is rogerhub grade calculator
RogerHub Grade Calculator is an online tool that helps students calculate their current or predicted grades based on their assignments, tests, and exams.
The RogerHub Grade Calculator allows students to input their course information, including the grading scale, assignments, tests, and exams, along with the weights or point values for each. Once the data is entered, the calculator provides the student with their current grade in the course, as well as what they need to score on future assignments or tests to achieve a desired final grade.
This can be a useful tool for students who want to track their progress and make informed decisions about how to prioritize their studies. The calculator can be used for courses at any level, from high school to college and beyond.
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Find the value of x
60,64,36,48 and x
Answer:
72 degrees.
Step-by-step explanation:
Exterior angles add up to 360 degrees. So, 60+64+36+48+2x=360. Simplifying, we get that 2x+208=360, or that x=(360-208)/2=144/2=72 degrees.
Consider this function.
f(x) = 5x
How is function / transformed to create function g? Match each transformation of function with its description.
4
g(x)= 1/3(5)^x
g(x)=5^1/3x
g(x) = 5^3x
g(x) = 3(5)^3
horizontal stretch of a factor of 3
vertical stretch of a factor of 3
vertical compression of a factor of 1/3
horizontal compression of a factor of 1/3
Answer:
g(x) = 5^3x is a horizontal stretch of a factor of 3. g(x)= 1/3(5)^x is a vertical stretch of a factor of 3. g(x) = 5^1/3x is a vertical compression of a factor of 1/3. g(x) = 3(5)^3 is a horizontal compression of a factor of 1/3.
Which graph represents a quadratic function that has no real zeros?
Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
What is a quadratic equation?Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.
Here,
A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:
|
|
|
|
|
|
__________|__________
The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
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A shipping container is in the form of a right rectangular prism, with dimensions of 35 ft by 8 ft by 7 ft 6 inches. How many cubic feet of shipped goods would it hold when it is full? Round your answer to the nearest tenth if necessary.
Answer: Cry 8374629173
Step-by-step explanation: Cry like 2734295
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.
Jacque is using a soup can for a school project and wants to paint it. If the can is 13 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14 and include the top of the soup can.
826.61 cm2
494.55 cm2
390.15 cm2
144.50 cm2
The required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².
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.
In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
Often, the bases are shaped like circles.
The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.
So, the surface area of the soup can that needs to be painted will be:
Surface area formula: 2πrh+2πr²
Now, insert values as follows:
A = 2πrh+2πr²
A = 23.14*4.5*13+2*3.14*4.5²
A = 494.8 cm²
Therefore, the required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².
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Correct question:
Jacque is using a soup can for a school project and wants to paint it. If the can is 13 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14 and include the top of the soup can.
A. 826.61 cm2
B. 494.55 cm2
C. 390.15 cm2
D. 144.50 cm2
Answer:
Step-by-step explanation:
answet 494.55
What is the expression for this??
By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).
What is the depth of the submarine after 5 minutes?We know that the expression:
-230 + 13*y
Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:
depth = -230 + 13*y
To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:
depth = -230 + 13*5
depth = -230 + 65
depth = -165
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Calculate the value of x to one decimal place
The value of x in the triangle is 3.4 cm
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the above as a guide, we have the following:
tan(43) = 3.2/x
Make x the subject of the formula
So, we have the following representation
x = 3.2/tan(43)
Evaluate
x = 3.4
Hence, the solution is 3.4
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Select all the correct locations on the graph.
Vector u has its initial point at (5, -7) and its terminal point at (8, -9). On the graph, identify the scalar multiples of u that have a direction opposite that of u.
The scalar multiples of u that have a direction opposite that of u is -54 i + 21 j .
Initial Point of vector , u= (-7,2)= -7 i + 2 j
Terminal point of Vector , u= (11, -5)= 11 i -5 j
Vector , u= Terminal point - Initial Point
= 11 i - 5 j - (-7 i+ 2 j)
= 11 i - 5 j + 7 i - 2 j
= 18 i - 7 j
⇒Vector, v= 3 ×Direction Opposite to that of vector, u
= -3 u
= -3 × (18 i - 7 j )
= 3× (-18 i + 7 j)
= -54 i + 21 j
Hence, The scalar multiples of u that have a direction opposite that of u is -54 i + 21 j .
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a score of x = 70 on an exam with µ = 82 and σ = 8, or a score of x = 60 on an exam with µ = 72 and σ = 12?
A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:
z = (70 - 82) / 8 = -1.5
For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:
z = (60 - 72) / 12 = -1.0
The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
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Find the dimensions of the cube
Answer: DBSB272 PONTA DEM
Step-by-step explanation: Find a answer
How do you know if a midpoint Riemann sum is an overestimate or underestimate?
When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.
We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.
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The winning team
in a 400-meter relay race had a time of
198.608 seconds. Suppose all 4 of the split
times were the same. Write and solve an
equation to find the split times.
The equation for split times is 4x= 198.608 and the value of x is 49.652
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Let x be the split time
all 4 of the split times were the same.
4x= 198.608
=> x= 198.608/4 = 49.652
The equation for split times is 4x= 198.608 and the value of x is 49.652
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The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all. How long did each person hold the sign? Write your answer as a proper fraction or mixed number.
There is each person holding the sign for 3/4 hours.
What is the rate?
A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.
If the car wash lasted 3 hours in all and there are 4 members in the robotics team, each person held the sign for 3 hours / 4 = 3/4 hours.
Hence, there are each person held the sign for 3/4 hours.
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Complete the table of values for the function f(x)=1/2
The table of values for the function f(x)=1/2 are shown as follow:
What is function?
A function is an expression or relationship that involves one or more variables. It has several inputs and outputs. Each input has a single output. The function describes how the inputs relate to the output.
The function f(x) = 1/2 is a horizontal line that crosses the y-axis at the point (0, 1/2). Since the value of f(x) is constant for all values of x, the table of values for this function will have the same output value of 1/2 for every input value of x.
The table of values for the function f(x)=1/2 are shown as follow:
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a cone-shaped container is oriented with its circular base on the top and its apex at the bottom. it has a radius of 12 inches and a height of 8 inches. the cone starts filling up with water. what fraction of the volume of the cone is filled when the water reaches a height of 2 inches?
Fraction of the volume of the cone = 1/4 0r 0.25
Volume of a coneA cone is a solid that has a circular base and a single vertex.
To calculate its volume, you need to multiply the base area (area of a circle: π × r²) by height and by 1/3:
volume = (1/3) × π × r² × h
Volume of the cone using radius 12inches and height 8inches =
(1/3) × π × 12² × 8
= 0.6981inches³
Volume of the cone using radius 12inches and height 2inches =
(1/3) × π × 12² × 2
= 0.17453inches³
in order to find the fraction filled with water, we use the
Volume of 2inches/Volume of 8 inches.
0.17453/0.6981
= 0.25 or 1/4
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which figure is a translation of figure A? explain
Answer:
Figure B
Step-by-step explanation:
A translation is when you move every point of a figure in the same direction and same distance. It must retain the original shape of the figure and be superimposable. Figure C is a reflection, not a translation.
what does determine slope intercept form of the equation
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept of the line.
It allows for the easy representation of a linear equation in two variables, with the slope indicating how steep the line is and the y-intercept indicating where the line intersects the y-axis.
By rearranging an equation in standard form
(Ax + By = C)or point-slope form
(y - y1 = m(x - x1))we can solve for y in terms of x to convert it to slope-intercept form. This form is commonly used in applications such as graphing and predicting values on a line.
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1. Alden took out a mortgage on his home for $275,000 for 30 years at an annual interest rate of 4%. In January, Alden paid $495 toward the principal and the rest of his mortgage payment was the interest on
the loan. How much did Aiden pay in interest for the month of January? Use the monthly mortgage payment table below.
Show your work.
A) $859.92
B) $817.91
C) $759.96
D) $805.42
So, in response to the above question, we can state that As a result, equation Alden paid interest of $816.75 for the month of January.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
We must first estimate the monthly mortgage payment using the monthly mortgage payment table in order to compute the amount of interest paid for the month of January.
The table shows that the monthly payment per $1,000 borrowed for a 30-year loan at 4% interest is $4.77. So, the following formula may be used to determine Alden's mortgage payment each month:
$275,000 / $1,000 = 275
$275 x $4.77 = $1,311.75 (monthly mortgage payment) (monthly mortgage payment)
Alden's January mortgage payment included $495 towards the principle, with the balance going to interest. The amount of interest paid can be determined as follows:
$1,311.75 - $495 = $816.75
As a result, Alden paid interest of $816.75 for the month of January.
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The area of the rectangle is 34.56cm squared. The diamtetr is 2.75cm. WHAT is the surface area.
The total surface area of the rectangle is 36.4583125cm squared.
What is area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The surface area of the rectangle can be calculated by multiplying the length of each side by itself. Since the diameter of the rectangle is 2.75cm, each side of the rectangle would be half of the diameter, or 1.375cm. To calculate the surface area, we must then multiply 1.375cm by 1.375cm, which equals 1.8983125cm squared. When combined with the original area of 34.56cm squared, the total surface area of the rectangle is 36.4583125cm squared.
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How to convert 90 confidence interval?
To convert 90% confidence interval, add and subtract the margin of error from the sample mean
A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:
Collect a sample of data that is representative of the population
Calculate the sample mean and the sample standard deviation (s).
Determine the sample size (n).
Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.
Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ [tex]\sqrt{n}[/tex].
margin of error = t-value × (s / [tex]\sqrt{n}[/tex])
Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.
Lower bound = Sample mean - margin of error
Upper bound = sample mean + margin of error
The resulting interval will be the 90% confidence interval for the population mean.
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what is trig equation solver?
Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.
The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.
A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.
sin²A + cos²A = 1
sec²A – tan²A = 1
cosec²A – cot²A = 1
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