The conversion of 21 km to miles is 13.04848 miles.
Kilometer (km) and mile are both units of measurement used to express distance or length.
Kilometer is a metric unit of distance commonly used in the International System of Units (SI) and is equal to 1000 meters.
To convert 21 kilometers (km) to miles, we can use the conversion factor of 1 km = 0.621371192 miles.
So, we can multiply 21 km by 0.621371192 miles/km to get the equivalent distance in miles:
21 km × 0.621371192 miles/km = 13.04848 miles (rounded to five decimal places)
Therefore, 21 km is approximately equal to 13.04848 miles.
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what is perpendicular line calculator online
A perpendicular line calculator online is a tool used to find the equation of a line that is perpendicular to a given line and passes through a given point.
A perpendicular line calculator online is a math tool used to find the equation of a line that is perpendicular to a given line and passes through a given point. To use this calculator, users input the slope and y-intercept of the given line, as well as the x- and y-coordinates of the given point.
The calculator then uses the formula for the slope of a perpendicular line to find the slope of the new line and calculates the y-intercept by plugging in the given point. This tool is useful in many applications, such as finding the equation of a perpendicular bisector, a perpendicular tangent line, or a perpendicular distance between two points.
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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(AAssume that we have two
events, A and&nbB)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
P(Assume that we have two events, A&B) is mutually exclusive, P(A | B) is not equal to P(A), and the events A and B independent
Probabilities are used to measure the likelihood of an event occurring.
When we have two events, A and B, that are mutually exclusive, it means that the occurrence of one event precludes the other from occurring. In this case, P(A) and P(B) measure the individual probabilities of events A and B occurring.
P(A) = 0.30 and P(B) = 0.40. Therefore, P(A | B) is the probability of event A occurring given that event B has already occurred, which is equal to 0 since event A cannot occur if event B has already happened.
P(A | B) is not equal to P(A), since P(A) measures the probability of event A occurring without considering any other events.
Since events A and B are mutually exclusive and the occurrence of one event precludes the other from occurring, they are considered independent events.
Therefore, the probability of one event occurring does not affect the probability of the other event occurring, which means they are independent events
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What is factors of 58 ?
the answer would be
1, 2, 29, 58
A file that is 228 megabytes is being downloaded. If the download is 15.4% complete, how many megabytes have been downloaded?
Answer:
35.112
Step-by-step explanation:
15.4% = 0.154. 228*0.154=35.112.
you are showing a child paper cut-outs of various quadrilaterals. if a child tells you that square has 4 sides and 4 angles, the child is most likely operating at what van hiele's level?
The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.
What is Van Hiele model?
The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.
We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.
From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.
Hence, the child is most likely operating at visualization level of van hiele's.
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a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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What is variance in statistics?
Variance in statistics is the squared difference between a random variable's expected value and its mean value.
Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.
Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.
Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.
[tex]Var(X) = E[(X-\mu)^2][/tex]
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Upload the worksheet with your constructions below.
Answer:
hey! you can use it!!
Step-by-step explanation:
thanks
Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 39 feet long and makes a 40 degree angle with the ground. How high is the kite?
Answer:
100
Step-by-step explanation:
how to convert ml to dl
The method to convert mililitres to deciliter is by multiplying the quantity in mililitres with 0.01.
Firstly know the full form of units being used in the question. Here ml represents mililitres and dl represents deciliter. Now, we know that mililitres and deciliter are connected to each by the formula -
1 deciliter = 100 mililitres
So, 1 millilitre in deciliter will be = 1/100 deciliter
It can be written in decimal form as -
Quantity in deciliter = 0.01 deciliter
Let us say we have 1000 mililitres of milk which needs to be converted into deciliter.
So, Quantity in deciliter = 1000 × 0.01
Performing multiplication on Right Hand Side of the equation
Quantity of 1000 mililitres in deciliter = 10 deciliter.
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A blood bank needs 7 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 7 can be formed from the 13 volunteers
Answer the questions below.
(a) From the 12 albums released by a musician, the recording company wishes to release 9 in a boxed set. How many different boxed sets are possible?
(b) There are 14 European cities that Rashid would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
(a) There are 220 different boxed sets possible.
(b) here are 2184 different schedules possible for Rashid's vacation.
(a)
To calculate the number of different boxed sets possible, use the combination formula. In this case, choose 9 albums out of 12, and the order of the albums in the boxed set doesn't matter.
The number of combinations of n items taken r at a time is given by the formula:
C(n, r) = n! / (r! × (n - r)!)
In this case, to find C(12, 9):
C(12, 9) = 12! / (9! × (12 - 9)!)
C(12, 9) = 12! / (9! × 3!)
C(12, 9) = (12 × 11 × 10) / (3 × 2 × 1)
C(12, 9) = 220
(b)
To calculate the number of different schedules Rashid can make for his vacation, count the number of ways chosen 3 cities out of 14 for each day of the week.
For Monday, choose one city out of 14.
For Tuesday, choose one city out of the remaining 13 .
For Wednesday, choose one city out of the remaining 12 .
Total number of schedules = 14 × 13 × 12 = 2184
So, there are 220 different boxed sets possible and there are 2184 different schedules possible for Rashid's vacation.
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which of the following best explains the value of sine startfraction pi over 3 endfraction on the unit circle below? a unit circle is shown. a radius with length 1 has an angle measure of startfraction pi over 3 endfraction sine startfraction pi over 3 endfraction
The length opposite the angle is the vertical distance from the x-axis on the graph. Because sin (π/3) = opposite/hypotenuse = opposite/1;
What is unit circle?Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
Here, The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus, we get;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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Answer: A on edge
Step-by-step explanation:
What is the solution to the system of equations that Darren graphed?
Answer:
Below
Step-by-step explanation:
The solution set is just the point where the two graphed lines cross....this point is common to BOTH lines and thus is the solution (2,2)
39.5 Degrees Celsius to Fahrenheit
To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.
39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.
Temperatures, across the worlequal td, are measured either in Fahrenheit(the US temperature scale) or Celsius(the metric scale), two of the most popular and widely used scales.Temperature Conversion – Degrees Celsius into Degrees Fahrenheit.
Celsius to Fahrenheit conversion formula is all about converting the temperature denoting in Celsius to Fahrenheit. As mentioned earlier, the temperature of boiling (hot) water in Celsius is 0 degrees and in Fahrenheit is 21 degrees, the formula to convert C to F is
F = C x (9/5) + 32To convert 39.5 degrees Celsius to Fahrenheit, you can use the formula:
°F = (°C × 9/5) + 32
Substituting 39.5 for °C, we get:
°F = (39.5 × 9/5) + 32
°F = (71.1) + 32
°F = 103.1
Therefore, 39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.
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Shape A can be transformed to shape B by a rotation 90° clockwise about (-1 1) followed by a translation by vector (a b) find the value of a and b PLEASE HELP
The translation vector is
a = 6
b = -2
How to find the translationThe transformation rule for 90 degrees clockwise rotation is
(x, y) → (y, -x)
Using reference side (-3, -3). 90 degrees clockwise rotation will result to
(-3, -3) → (-3, 3)
The location (-3, 3) is compared with (3, 1) we have that
-3 + x = 3, x = 3 + 3 = 6
3 + y = 1, y = 1 - 3 = -2
hence the vector is (6, -2), a = 6 and b = -2
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How do you write an equation of a line so that it is parallel or perpendicular to a given line through a given point?
Answer:
The slope of a parallel line are equal,and the slope of perpendicular line are opposite reciprocals
Find the surface area of the bases
Answer: 50.27
Step-by-step explanation:
AB=πr2=π·42≈50.26548
Hugh poured 100 kilograms of water into 10 kg of salt.He made ...... kilograms of ......% salt solution.
NEED HELP ASAP!!!!! PLEASEEE!
Hugh made 110 kilograms of 9.1% salt solution.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Hugh poured 100 kilograms of water into 10 kg of salt.
So, the total mass is the sum of the mass of water and the mass of salt.
Thus, 100+10=110 kg.
The ratio between the mass of the salt (10 kg) and the combined mass of the mixture is the concentration.
Now, C=10/110 ×100
= 100/11
= 9.1%
Therefore, Hugh made 110 kilograms of 9.1% salt solution.
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Which expressions are equivalent to the one below? Check all that apply.
54.5*
A. 625.5x
B. 54-x
C. 254x
D. (5.x)4
OE. 54x
OF. 54+x
The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].
What are Exponents:Exponents are a short way of representing repeated multiplication. The exponent, or power, indicates the number of times the base is multiplied by itself.
An exponent is a small number written to the right and above the base number, indicating how many times the base number should be multiplied by itself.
By the rule of exponents,
aᵇ× aˣ = aᵇ⁺ˣHere we have
Exponents 5⁴· 5ˣ
We can rewrite the above expression as follows
Since 5⁴ = 625
=> 5⁴· 5ˣ = 625 · 5ˣ
By using the Rules of exponents,
=> 5⁴ + 5ˣ = [tex]a^{4 + x}[/tex]
Therefore,
The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].
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A punch bowl contained 2 liters of ginger ale, 1 liter of raspberry juice
Answer:
You can drink it thank u for asking
Eren constructed a rectangular paper box with a volume of 180in. His box has a length of x inches, a width of 5 inches less than its length, and a height 2 inches more than its length. What is the length of the box?
The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.
We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get
[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.
To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).
After rearranging, we get
[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.
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How to convert 8 into cm
The value of length 8inch into cm is 20.32 cm.
8inch can be converted into centimeters (cm) using the conversion factor of 1 inch equals 2.54 centimeters. it's essential to use the appropriate conversion factor and ensure that the units cancel out correctly to arrive at the desired result.
Since 8 is a unit of inches, we can simply multiply 8 by the conversion factor of 2.54 cm/inch to get the equivalent measurement in centimeters.
So, the conversion can be done as follows:
8 inches x 2.54 cm/inch = 20.32 cm
Therefore, 8 inches is equal to 20.32 centimeters.
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_____The given question is incomplete, the complete question is given below:
How to convert 8 inches into cm.
Given that a graph of a parabola opens up and the minimum point is located at (-3, 6), determine the range of the function.
The range of the parabola will be y ≥ 6.
What is Parabola ?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. The general equation of a parabola is : y² = 4axGiven is that a graph of a parabola opens up and the minimum point is located at (-3, 6).
The minimum point of a parabola is called its vertex. So, we can write the vertex as V(-3, 6). The range is the set of all values that exist for a given value of {x}. This means, it is the set of {y} - values for the function. The parabola opens upwards. So, we can write the range as → Range → [6, ∞).Therefore, the range of the parabola will be y ≥ 6.
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An estimate of 24.5% of the water used each day is for cooking. If a family uses 68.6 gallons of water a day for cooking , how many gallons do they use every day?
They use 280 gallons a day.
24.5 times 2.8 is 68.6
24.5% of 100 is 24.5
100 times 2.8 is 280
Which expression is equivalent to 9(3+8)?
Answer:
9*3+9*8 or 9*11
Distributive property
Answer:
99
Explanation
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
1) Add the values 3 and 8 to get 11 ( 9*11 )
2) Multiply 9 x 11 = 99
Maria was paid $1854 for laying the Corbett's lawn. If she charged $135 plus 9.55 per square metre of lawn laid, find the area of the lawn.
Let's represent the area of the lawn with "x" (in square meters).
Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:
Total earnings = $135 + $9.55 x
We know that Maria was paid $1854, so we can set up an equation and solve for x:
$1854 = $135 + $9.55 x
Subtracting $135 from both sides:
$1719 = $9.55 x
Dividing both sides by $9.55:
x = 180
Therefore, the area of the lawn is 180 square meters.
Which two of the following ordered pairs have a ratio of -4/3?
(-3, 4), (-4, 3), ( 4,-3), (3, -4)
So the two ordered pairs that have a ratio of -4/3 are (-4, 3) and (4, -3).
where x and y are the first and second numbers in the ordered pair, respectively.
Checking each of the four given ordered pairs, we can see which ones satisfy this equation:
(-3, 4): -3/4 ≠ -4/3
(-4, 3): -4/3 = -4/3
(4, -3): 4/-3 = -4/3
(3, -4): 3/-4 ≠ -4/3
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Once Triangle Similarity is established, which of the following corresponding parts are also established?
The corresponding parts are as follows;
Angle ATS = Angle ABC
side AS = side AC
Angle SAT = Angle CAB
Angle AST = Angle ACB
Side AT = Side AB
What is SAS similarity theorem?ΔABC ~ ΔDEF only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.
We are given the similar triangles as;
ΔACB = ΔAST
Angle ATS = Angle ABC
side AS = side AC
Angle SAT = Angle CAB
Angle AST = Angle ACB
Side AT = Side AB
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If the sun is 59 degrees above the horizon, find the length of the shadow cast by a building 52 feet tall, round your answer to the nearest tenth
Answer:44.5
Step-by-step explanation:
To solve this problem, we can use the tangent function, which relates the angle of elevation to the length of the opposite side (the shadow) and the adjacent side (the height of the building).Let x be the length of the shadow.
Then, we have:tan(59°) = 52/xTo solve for x, we can cross-multiply and simplify:x = 52 / tan(59°)
x ≈ 44.5 feet (rounded to the nearest tenth)Therefore, the length of the shadow cast by the building is approximately 44.5 feet.