Answer:
The number in the middle.
Example 1:
2 3 4 5 6
4 is in the middle, 4 is the median.
Example 2:
4 8 2 6 9
Put numbers in order:
2 4 6 8 9
6 is in the middle, 6 is the median.
Example 3:
4 7 2 3 9 8
Put numbers in order:
2 3 4 7 8 9
4 and 7 are in the middle, add them together and divide by 2 to get the median.
(4 + 7) / 2 = 11 / 2 = 5.5
5.5 is the median.
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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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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Caleb took 18 photos at the zoo. One sixth of his photos are of giraffes. How many of Caleb's photos are of giraffes?
The amount of photos that are giraffes is 3
1.) Caleb has 18 photos from going to the zoo.
2.) One sixth of them are giraffe pictures.
So basically, what you want to do is divide 18 by 6 = 3
The answer is : There are 3 giraffe photos out of the total 18 photos.
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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the nth term of a quadratic sequence can be written as an^2 + bn +c. Here are its first 4 terms. 3, 14, 29, 48. find the values of a, b and c.
The values of a , b and c in the given quadratic sequence are
a = 2, b = 5, c = -4
Quadratic Sequence:The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.
Now in the given question ,
For nth term we have,
an² + bn + c
n = 1:
a + b + c = 3 Eq. 1
n = 2:
4a + 2b + c = 14 Eq. 2
n = 3:
9a + 3b + c = 29 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 11 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 15 Eq. 5
Eq. 5 minus Eq. 4
2a = 4
a = 2
Plug in a = 2 into Eq. 4
3(2) + b = 11
b = 5
Plug in a = 2 and b = 5 into Eq. 1.
2+5 + c = 3
c = -4
The required values are , a = 2, b = 5, c = -4.
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Upload the worksheet with your constructions below.
Answer:
hey! you can use it!!
Step-by-step explanation:
thanks
pls help probability
math
The given table is studied and the probability for each case of the question is found as given below.
What is meant by probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.
Number of families surveyed = 2400
Number of families earning 10000 - 13000 per month and owning exactly 2 vehicles = 29
Therefore required probability = 29/2400 = 0.0121
2) Earning 16000 or more per month and owning exactly 1 vehicle.
Number of families surveyed = 2400
Number of families earning 16000 or more per month and owning exactly 1 vehicle = 579
Therefore required probability = 579/2400 = 0.241
3) Earning less than 7000 per month and does not own any vehicle.
Number of families surveyed = 2400
Number of families earning less than 7000 per month and does not own any vehicle = 10
Therefore required probability = 10/2400 = 1/240
4) Earning 13000 - 16000 per month and owning more than 2 vehicles.
Number of families surveyed = 2400
Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25
Therefore required probability = 25/2400
5) Number of families surveyed = 2400
Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle
= (10+0+1+2+1)+(160+305+535+469+579)
= 2062
Therefore required probability = 2062/2400 = 0.86
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find the rate of change of a circle diameter with respect to radius.
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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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.
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 factors of 58 ?
the answer would be
1, 2, 29, 58
the probability that a continuous random variable equals any of its values is
the probability that a continuous random variable equals any of its values is Zero.
This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Complete Question
The probability that a continuous random variable equals any of its value is?
what is 161cm in feet?
On converting the length 161cm to feet , we get that 161 cm is equivalent to 5.29 feet .
There are different units that are used to measure the length or distance ;
such as feet , centimeter , meter , kilometer .
We have to convert the length : 161 centimeter to feet ;
we know that ; 1 centimeter is approximately equal to 0.0328 feet ;
So , we multiply 161 centimeter with 0.0328 ,
On multiplication ,
we get ;
⇒ 161 centimeter = 161 × 0.0328 ;
⇒ 161 centimeter = 5.2822 feet .
Therefore , 161 cm is approximately equal to 5.29 feet .
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The area of a rectangle is (4x²-49) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show you work.
The dimensions of the rectangle by factoring the area are
Length = ( 2x + 7 )
breadth = ( 2x - 7 )
Area of Rectangle:The number of unit squares that can fit inside a rectangle called its area. The area of a flat surface of a specific form is the space that it occupies.
Area of Rectangle = (Length × Breadth)
The area of a rectangle given is (4x²-49) square units.
We know the formula ,
Area of rectangle = Length × breadth
(4x²-49) = Length × breadth
Length × breadth = (2x)² - (7)²
Length × breadth = ( 2x + 7 ) ( 2x - 7 )
Therefore, the dimensions of the rectangle by factoring the area are
Length = ( 2x + 7 )
breadth = ( 2x - 7 )
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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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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.
how to convert 1/8 to a percentage
Answer:
1/8 = 12.5%
first, you can convert your fraction into a decimal by 1 divided by 8, which is 0.125. To change a decimal to percent, I can use DP, so D meaning decimal, and P meaning percent so we are going from the decimalcto percent by moving two places to the right, starting at your point. So 0.125 is 12.5%
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:
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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40% of an amount is $4 find the full amount
The full amount is $10.
According to given information :Let x be the full amount.
We know that 40% of the amount is equal to $4, so we can set up the equation:
0.4x = 4
To solve for x, we can divide both sides by 0.4:
x = 4 ÷ 0.4
x = 10
Therefore, the full amount is $10.
What is expression ?In mathematics, an expression is a combination of numbers, variables, and operations that are grouped together. It can be a simple expression, like "2 + 3", or a more complex one, like "(x + 3) / (y - 2)".
Expressions can be evaluated to produce a result, but they are not necessarily equations, since they don't always include an equal sign. They can also be used as components in larger expressions or equations.
For example, the expression "2x + 3y" can be used as part of the equation "2x + 3y = 12" to represent a relationship between x and y, or it can be used as part of a larger expression, like "(2x + 3y) / 5".
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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
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.
A store buys 4 sweaters for $20 and sells them for $136. How much profit does the store make per sweater?
Answer:
The profit per sweater is 29 dollars.
Step-by-step explanation:
First find the total profit.
136 - 20
116 for all 4 sweaters
Now divide by 4 since there are 4 sweaters to find the profit per sweater.
116/4
29
The profit per sweater is 29 dollars.
In ΔWXY, y = 7.3 inches,
�
m∠Y=141° and
�
m∠W=8°. Find the length of w, to the nearest 10th of an inch.
The length of w is 33.8 inches.
What is Sines law?
The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.
What are opposite angles ?
If two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45°. And the angle adjacent to angle X will be equal to 180 – 45 = 135°. When two lines meet at a point in a plane, they are known as intersecting lines.
This is a law of sines problem since the triangle that contains side WY has all the angle measures & one of side measures.
a/sin a = b/sin b
7.3/sin 39 = YW/sin 8
YW = 7.3sin 8/sin 39 = 33.8
Hence , the length of w is 33.8 inches.
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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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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
Find the surface area of the bases
Answer: 50.27
Step-by-step explanation:
AB=πr2=π·42≈50.26548
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 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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Ten cards are randomly chosen from a deck of 52 cards. Each of the selected cards is put in one of 4 piles, depending on the suit of the card. What is the probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1?
The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.
To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.
Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:
C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671
Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:
[tex]4^{10}[/tex] = 1,048,576
Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.
First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:
C(10,4) = 10! / (4! × 6!) = 210
Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:
C(6,3) = 6! / (3! × 3!) = 20
Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:
C(3,2) = 3! / (2! × 1!) = 3
Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.
Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:
C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600
Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:
P = 12,600 / 1,048,576 = 0.012 or 1.2%.
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