The time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
According to given condition:The exact time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any element of chance or uncertainty. The result of the addition is always the same and can be calculated precisely in a finite amount of time.
Random variables, on the other hand, are variables that can take on different values with certain probabilities, and are used to model phenomena that involve uncertainty or randomness. Discrete random variables take on a countable set of values, while continuous random variables take on an uncountably infinite range of values.
In summary, the time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
In mathematics, a variable is a symbol or letter that represents a value or quantity that can change or vary. Variables are used to express relationships between different quantities and to solve equations.
For example, in the equation y = 2x + 3, x and y are variables. The value of y depends on the value of x, which can vary. We can solve for the value of y for different values of x, and the solution will be a set of ordered pairs (x, y) that form a straight line when plotted on a graph.
Variables can be used to represent a wide range of quantities, including numbers, vectors, functions, and more. They are an essential tool in many branches of mathematics, including algebra, calculus, and statistics.
In addition to mathematics, variables are also used in many other fields, including science, engineering, and computer programming, to represent quantities that can change or be controlled. In these fields, variables are often used to model complex systems or to simulate experiments, and are a fundamental concept in data analysis and computational thinking.
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Simplify, Rationalize the denominator.
[tex]\frac{9}{7+\sqrt{2} }[/tex]
Answer:
[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]
Step-by-step explanation:
if 'a' is the Geometric mean of 2 and 1/4 then find 'a'
The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.
Finding the Geometric Mean of Two NumbersRecall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.
Multiply 2 and 1/4:
2 × 1/4 = 1/2
Take the square root of the result:
a = √(1/2)
Simplify the square root:
a = √(1/2) = √(1)/√(2) = 1/√(2)
Rationalize the denominator by multiplying the top and bottom by √(2):
a = (1/√(2)) × (√(2)/√(2)) = √(2)/2
Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:
a ≈ 0.70710678118
Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118
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Factoriser A(x)=(x+2)^2
Answer:
Below
Step-by-step explanation:
(x+2)^2 is just (x+2)(x+2) factored
A bag has 13 red, 13 blue, and
13 yellow marbles, what is the
probability of drawing 2 marbles of the same color in a row
What is the best answer to report for (515 x 0.0025) +24.57? A. 25.858. B. 25.85.
C. 25.8575. D. 26. E. 25.9
The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.
To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:
(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575
Therefore, the best answer to report is C. 25.8575.
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Divide. Give the quotient and remainder 211 / 4
Answer:
52.75
i hope it helps
A triangle with exterior angles is shown. A horizontal line intersects with a diagonal line. Another line connects the horizontal line to the diagonal line to form a triangle. The exterior angle at the top left of the triangle is 130 degrees. The exterior angle at the top right of the triangle is x degrees. The exterior angle at the bottom of the triangle is 134 degrees.
The value of x is _____.
In the triangle the value for x is obtained as option B: 96°.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
Use the fact that the sum of the exterior angles of a triangle is always 360°.
Let the unknown exterior angle be x.
So, the equation will be -
130° + 134° + x = 360°
264° + x = 360°
x = 360° - 264°
x = 96°
Therefore, the value is obtained as 96°.
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A carpet in Frank’s house has a length of 2 1/4 meters and a width of 1 1/5 meters. What is the area of the carpet? 6 9/10 meters 2 1/20 square meters 2 7/10 square meters 2 7/20 meters
The area of the carpet is [tex]2 7/20[/tex] square meters.
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
To find the area of the carpet, we need to multiply its length by its width.
The mixed numbers must first be transformed into improper fractions:
Length: 21/4 = 9/4
Width: 11/5 = 6/5
Then we can multiply:
Area = length x width
Area = (9/4) x (6/5)
Area = 54/20 or 27/20 square meters
Therefore, the area of the carpet is 27/20 square meters.
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Simplify this equation:
Answer:
[tex]8y^{3}[/tex]
Step-by-step explanation:
First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).
Answer:
Step-by-step explanation:
Given
[tex]\left(y^22\right)\left(y2^2\right)[/tex]
Lets simplify.
Remove the parenthesis.
[tex]y^2*2*y*2^2[/tex]
Rearrange the terms. (commutative property)
[tex]y*y^2*2*2^2[/tex]
Rewrite [tex]y[/tex] as [tex]y^1[/tex].
[tex]y^1y^2*2*2^2[/tex]
Use the power rule to combine the exponents.
[tex]y^{1+2} *2*2^2[/tex]
[tex]y^{3} *2*2^2[/tex]
Evaluate [tex]2*2^2[/tex].
[tex]2*2*2=8[/tex]
[tex]y^3*8=8y^3[/tex]
[tex]8y^3[/tex]
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What is the x-intercept of a line
Answer:
The x-intercept is the point where a line crosses the x-axis
Step-by-step explanation:
I really need help with this question
Volume of a cone
1/4π ft³
To find the volume of the cone, we use the formula
volume = (1/3) × π × r² × h
From the question, we are given its height and radius
we substitute for these in the equation above. these will give us the answer. (note in terms of pi)
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Kendrick is frantic. He remembers that several years ago he buried his Amazing Electron Ring in his little sister’s sandbox, but he cannot remember where. A few minutes ago he heard that someone is willing to pay 1000 for it. He has his shovel and is ready to dig
a. Probability of finding the ring is 0.2 or 20%.
b. Probability of not finding the ring is 0.8 or 80%.
c. Digging in the shaded square region at the right does not improve Kendrick's chances of finding the ring because the probability of finding the ring per unit area is the same in all the regions.
What is the probability of finding the ring in the 2-foot square region?The probability of finding the ring in the 2-foot square shaded region can be calculated below as follows:
Probability = (area of shaded region) / (area of entire sandbox)
area of the shaded region = 2 * 2
area of the shaded region = 4
area of the entire sandbox = 5 * 4
area of the entire sandbox = 20
Probability = 4 / 20
Probability = 0.2 or 20%.
b. The probability of not finding the ring:
Probability of not finding the ring = 1 - Probability of finding the ring
Probability of not finding the ring = 1 - 0.2
Probability of not finding the ring = 0.8 or 80%.
c. Digging in the larger square region does not improve Kendrick's chances of finding the ring because the probability of finding the ring depends only on the ratio of the area of the shaded region to the area of the entire sandbox.
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Solve |h+3|<5. Write the solution set using set-builder notation.
Answer:
To solve the inequality |h + 3| < 5, we need to consider two cases, depending on whether the expression inside the absolute value bars is positive or negative:
Case 1: h + 3 >= 0
If h + 3 >= 0, then we can remove the absolute value bars without changing the inequality:
h + 3 < 5
Subtracting 3 from both sides, we get:
h < 2
So the solution for this case is h < 2.
Case 2: h + 3 < 0
If h + 3 < 0, then the inequality becomes:
-(h + 3) < 5
Multiplying both sides by -1 (and reversing the inequality), we get:
h + 3 > -5
Subtracting 3 from both sides, we get:
h > -8
So the solution for this case is h > -8.
Putting these two solutions together, we have:
-8 < h < 2
Therefore, the solution set in set-builder notation is:
{h | -8 < h < 2}
How many cm in 63 inches?
63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.
It is the unit of length.
Furthermore, length is measured in centimetres,
Used in the International System of Units,
This is the metric system's present configuration.
52 centimetres equal 20.47 inches (centimeters).
63 inches are equal to 160.02 centimetres.
To convert inches to centimeters,
We can use the following conversion:
1 inch = 2.54 cm
Therefore,
To convert 63 inches to centimeters,
You can multiply 63 by 2.54:
63 inches × 2.54 cm/inch
= 160.02 cm
So 63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
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What is superposition principle explain with example?
The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.
When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.
The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.
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1) At a pet store, the ratio of female birds to male birds was 5:3. Write a sentence explaining what this means.
This statement simply means there are more female birds in the pet store than there are male birds. It also means for every 5 female birds in the pet store there are 3 male birds
Ratio: Writing the meaning of a sentenceFrom the question, we are to write a sentence that explains what the given sentence means.
From the given information, the given sentence is
"At a pet store, the ratio of female birds to male birds was 5:3"
This statement simply means there are more female birds in the pet store than there are male birds; or there are less male birds in the pet store than there are female birds. It also means for every 5 female birds in the pet store there are 3 male birds; or for every 3 male birds in the pet store, there are 5 female birds.
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-10
5
What is the y-intercept?
-5
10
10
0
5
X
10
The y-intercept of the graph of this line is equal to 1.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).
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The average daily temperature in Peoria, Illinois, can be predicted.
Using the formula T=50−28cos[2π(x−31)365], where x is the number of the day in the year (January 1 = 1, Febuary 1=32, etc.) and T is in degrees Fahrenheit.
Question: What is the expected temperature on Febuary 15?
The expected temperature on February 15 would be 77.72 °F.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Given is that the average daily temperature in Peoria, Illinois, can be predicted using the formula T = 50 - 28cos[2π(x−31)365], where {x} is the number of the day in the year.
The value of {x} for February 15 would be -
{x} = 46
So, we can write the temperature as -
T{46} = 50 - 28 cos[2π(46−31)365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[34383]
T{46} = 50 - 28 x -0.99
T{46} = 77.72
Therefore, the expected temperature on February 15 would be 77.72 °F.
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Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one. Which of these is not an option for Jacob?
Responses
He can buy the computer using cash once he has saved enough money. He can buy the computer using cash once he has saved enough money. He can purchase the computer now using his his debit card. He can purchase the computer now using his his debit card. He can purchase the computer now using his his credit card. He can purchase the computer now using his his credit card. He can put more money in his bank account and use his debit card to purchase the computer at a later date. He can put more money in his bank account and use his debit card to purchase the computer at a later date
The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.
Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.
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Juan baked 250 cookies in 2 hours, How many cookies can he make in 1 minute?
If Juan baked 250 cookies in 2 hours, then he can make approximately 2.08 cookies in one minute.
The unitary method involves finding the value of one unit and then using that to find the value of any number of units.
In this problem, the unit we are interested in is cookies per minute. We need to find out how many cookies Juan can make in one minute, given that he can make 250 cookies in 2 hours.
To find out how many cookies Juan can make in one hour, we can use the unitary method as follows:
1 hour = 60 minutes (since there are 60 minutes in one hour)
So, if Juan can make 250 cookies in 2 hours, he can make:
250 cookies / 2 hours = 125 cookies per hour
Using the unitary method again, we can find out number of cookies Juan can make in one minute:
1 hour = 60 minutes
So, Juan can make:
125 cookies / 60 minutes = 2.08 cookies per minute
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Pls answer fast :) I would love to give you points
Answer:
The builder has 28,200m^2 left to build the houses.
Step-by-step explanation:
For the roads,
They are 3m wide and they stretch 200m.
We must find the area for one road and multiply by three.
Area = Length * Width
Area = 200m * 3m
Area = 600m^2
600 * 3 = 1800m^2
1800m^2 is taken up by the three roads.
Next, we must find the total area of the field.
Area = Length * Width
Area = 200m * 150m
Area = 30,000m^2
30,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.
30,000m^2 - 1800m^2 = 28,200m^2
The builder has 28,200m^2 left to build the houses.
Answer:
The builder has 28,200m^2 left to build the houses.Step-by-step explanation:For the roads,They are 3m wide and they stretch 200m.We must find the area for one road and multiply by three.Area = Length * WidthArea = 200m * 3mArea = 600m^2600 * 3 = 1800m^21800m^2 is taken up by the three roads.Next, we must find the total area of the field.Area = Length * WidthArea = 200m * 150mArea = 30,000m^230,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.30,000m^2 - 1800m^2 = 28,200m^2The builder has 28,200m^2 left to build the houses.
Step-by-step explanation: hope this helps0^0
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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The vertical height in feet of a projectile on a planet in our solar system at a given time t in seconds is represented by the function h(t) = -42t^2 +252t. Re-write h(t) in the form h (t) = a(t- h)^2 + k and determine the maximum height of the projectile. Show all work.
The vertex form of the quadratic equation is:
h(t) = -42*(x - 3)² + 378
And the maximum height is 378 ft.
How to determine the maximum height of the projectile?We know that the height of the projectile is defined by the quadratic equation:
h(t) = -42t² + 252t
Remember that for any quadratic equation:
y = a*x² + b*x + c
The vertex is at:
x = -b/2a
So in this case, the vertex is at:
t = -252/(2*-42)
t = 3
So the maximum height of the projectile is:
h(3) = -42*3² + 252*3 = 378
And thus, the vertex is (3, 378), then the vertex form is:
h(t) = -42*(x - 3)² + 378
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Please help me with the blank box :]
Answer:whitch one are they talking about I think it might be answer 3
Step-by-step explanation:
The price of chicken breast rises from $3.00 to $3.60 per pound. In response to the price change, the demand for chicken breast falls by 25%. The absolute value of the price elasticity of demand for chicken breast is _____, and the price elasticity of demand is _____.a. 0.8; inelasticb. 1.25; inelasticc. 0.8; elasticd. 1.25; elastic
Answer: We can use the formula for the price elasticity of demand to solve this problem:
Price elasticity of demand = percent change in quantity demanded / percent change in price
We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:
percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%
We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:
percent change in quantity demanded = -25%
Using these values in the formula, we get:
Price elasticity of demand = (-25%) / (20%) = -1.25
Since we are interested in the absolute value of the price elasticity of demand, we have:
|Price elasticity of demand| = |-1.25| = 1.25
A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.
Step-by-step explanation:
Please help if your good at Geometric Congruence. Answer the equation below. Thank you!
The possible value of x are + √15 and - √15
What are congruent angles?Angles who are of same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of same measure, then
[tex]m\angle A = m\angle B[/tex]
is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.
Then the congruency between them as;
[tex]\angle A \cong \angle B[/tex]
angle EAB = 2x² + x
angle EDA = x + 30
Here we can see the angle EAB and angle EDA are equal
So,
2x² + x = x + 30
2x² + x - x = 30
2x² = 30
x² = 15
x =±√15
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Destiny wants to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
Which statement is true?
A) This is possible only for 180° rotations.
B) This is possible for all types of rotations.
C) This is possible for any clockwise rotation.
D) This is not possible for any type of rotation.
Answer:
A) Only for 180° rotations
Step-by-step explanation:
You want to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
RotationIn general, a line segment's image will be parallel to the original if it is rotated 180°. Hence the line segments that make up a quadrilateral's image will be parallel to corresponding sides if the quadrilateral is rotated 180°.
The attachment shows a quadrilateral rotated 180°.
__
Additional comment
We assume that the "corresponding side" of AB is A'B' in the image.
If square ABCD is rotated 90°, then side AB will be parallel to side B'C', and the same will be true for 3 other pairs of sides. For the purpose of this question, we don't consider AB and B'C' to be "corresponding" sides.
Holly increases 800 by 10%.
She then decreases the result by 10%.
What is her final number?
Answer:
Step-by-step explanation:
792!
Answer:
792
Step-by-step explanation:
First she increases 800 by 10 percent
Since 10 percent of 800 is 80, it becomes 880
then she decreases this result by 10 percent
since 10 percent of 880 is 88, the result becomes 880-88=792
Therefore 792 is the final number
1. A school orders 120 calculators.
The school receives a shipment containing 80%
of the order,
and 1 out of every 3 of these calculators is black.
How many black calculators has the school received
in this shipment?
a.32
b.40
c.50
d.96
Answer:
A. 32
Step-by-step explanation:
80% of 120 is 96
So 96 divided by 3 is 32, so 32 x 3 = 96
Which means 32/96 also equals 1/3
Tan x° = 110/11 HELP
Answer:
Below
Step-by-step explanation:
tan x = 110 /11
Arctan( tan x) = arctan(110/11)
x = 84.3°