Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)
Answers
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)
Answer:
ΔV = 2520 V
Step-by-step explanation:
We are given;
Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²
Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²
Now, formula for electric field strength is;
E = -(½ε)(|σ1| ± |σ2|)
ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²
|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.
Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;
E_in = -(½ε)(|σ1| + |σ2|)
E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]
E_in = -4200 V/m
In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;
E_out = -(½ε)(|σ1| - |σ2|)
E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]
E_out = 1400 V/m
The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;
From the attachment, we see that;
ΔV = 2520 V
Related Questions
How to find a coterminal angle between 0 and 360° ?
Answers
A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.
The following steps can be used to find a coterminal angle between 0 and 360 degrees:
Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.
Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.
The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.
The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.
Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
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A group of students at a high school took a standardized test. The number of students
who passed or failed the exam is broken down by gender in the following table.
Determine whether gender and passing the test are independent by filling out the
blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 25 10
Female 20 8
Answers
P(female) × P(fail) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
We can calculate the probabilities as follows:
Total number of students = 25 + 10 + 20 + 8 = 63
P(female) = Number of females / Total number of students
= 20 / 63
= 0.317
P(fail) = Number of students who failed / Total number of students
= (10 + 8) / 63
= 0.317
P(female and fail) = Number of female students who failed / Total number of students
= 8 / 63
= 0.127
Since P(female) × P(fail) = (0.317) × (0.317) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
Therefore, based on the calculations, we can conclude that gender and passing the test are dependent events, not independent.
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Tell whether the lines through the given points are parallelperpendicular, or neither Line 1: (1, 0), (7, 4) Line 2: (7, 0) , (3, 6) The slope of line 1 is The slope of line 2 is
Answers
Answer:
The lines are perpendicularStep-by-step explanation:
We determine whether lines are parallel or perpendicular by getting their slopes
For line 1; (1, 0), (7, 4)
Slope m = 4-0/7-1
M1 = 4/6
M1 = 2/3
Hence the slope of M1 is 2/3
For Line 2; (7, 0) , (3, 6)
M2 = 6-0/3-7
M2 = 6/-4
M2 = -3/2
Take the product of the slopes
M1 * M2 = 2/3 * -3/2
M1M2 = -1
Since the product of their slope is -1, hence the lines are perpendicular
give a recursive definition of the set of all bit strings that are palindromes. remember to consider both odd- and even-length strings
Answers
Palindromes are a string of digits/alphabets that are read the same way as they are from the right as from the left.
We can understand palindromes using the basic example of the number - 1234321. In this number, we can see that if we read the number from the right, it is going to be read as 1-2-3-4-3-2-1. And if we read this number from the left, it is going to be 1-2-3-4-3-2-1. This shows how the sequence of bits in a palindrome is going to be the same from both ends.
In the case of odd-length palindromes like the one above, there is going to be one middle that is going to be alone. In the case of even-length palindromes such as 1111, the numbers all have a pair.
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A pasture is 1500 feet by 2000 ft. If a fence is to be built on this property, how many acres are
being fenced? If a role of woven wire is 330 ft long. How many rolls of fencing needs to be
purchased if you are also adding 2 drive through gates (16 ft each) and 4 walk through gates (4 ft
each).
Answers
The pasture is 68.73 acres. Total fence length: 7000 ft + 32 ft (drive-through gates) + 16 ft (walk-through gates). You need approximately 22 rolls of woven wire fencing.
To find the area of the pasture in acres, we need to convert the given measurements from feet to acres.
1 acre = 43,560 square feet
Area of the pasture = 1500 ft * 2000 ft = 3,000,000 square feet
Area in acres = 3,000,000 square feet / 43,560 square feet per acre ≈ 68.73 acres
So, the area being fenced is approximately 68.73 acres.
Now, let's calculate the total length of fencing required, taking into account the gates.
Length of fence needed = perimeter of the pasture + length of drive-through gates + length of walk-through gates
Perimeter of the pasture = 2 * (length + width)
Perimeter = 2 * (1500 ft + 2000 ft) = 2 * 3500 ft = 7000 ft
Length of drive-through gates = 2 * 16 ft = 32 ft
Length of walk-through gates = 4 * 4 ft = 16 ft
Total length of fencing needed = 7000 ft + 32 ft + 16 ft = 7048 ft
Now, we can calculate the number of rolls of woven wire fencing needed.
Length of one roll of woven wire = 330 ft
Number of rolls needed = Total length of fencing needed / Length of one roll of woven wire
Number of rolls needed = 7048 ft / 330 ft ≈ 21.39 rolls
Since we can't purchase a fraction of a roll, we'll need to round up to the nearest whole number.
Therefore, you would need to purchase approximately 22 rolls of woven wire fencing.
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1.) Use the line drawing tool to draw the equation Y=1+1.50X Label your line 'A'. 2.) Use the line drawing tool to draw the equation Y= 18-1.25X Label your line 'B' 3.) Use the point drawing tool to indicate the point where both equations are equal. Label this point 'Equilibrium Carefully follow the instructions above, and only draw the required objects.
Answers
The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.
To draw the lines and indicate the point of intersection, you can follow these steps:
1. Draw a coordinate system on a piece of paper or using a drawing software.
2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.
3. Connect the two points with a straight line and label it as line A.
4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.
5. Connect the two points with a straight line and label it as line B.
6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.
7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.
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Rodrigo is tracking the number of visitors at two parks. He created these functions to model the total number of people visiting each park, where x is the number of hours after sunrise.
West Park: A(X) = -0.68x^3 + 7.05x^2 + 3.25x
East Park: B(x) = -2.08x^2 +22x+ 5
Which function models the total number of visitors at both parks each hour after sunrise?
A T(x) = -0.68x^3 + 9.13x^2 + 22x + 8.25
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
C. T(x) = -2.76x^3 + 7.05x^2 + 25.25x + 5
D. T(x) = -2.76x^3 + 29.05x^2 + 8.25
Answers
Answer:
The function that models the total number of visitors at both parks each hour after sunrise: \(\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}\)
Option B is correct.
Step-by-step explanation:
Function for West Park: A(X) = \(-0.68x^3 + 7.05x^2 + 3.25x\)
Function for East Park: B(x) = \(-2.08x^2 +22x+ 5\)
We need to find the function that models the total number of visitors at both parks each hour after sunrise?
For finding total number of visitors we need to sum functions of A(X) and B(X) to get T(X)
So, we have
\(T(X)=A(X)+B(X)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x+(-2.08x^2 +22x+ 5)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x-2.08x^2 +22x+ 5\\Combining like terms\\T(X)=-0.68x^3+7.05x^2-2.08x^2+3.25x+22x+5\\T(X)=-0.68x^3+4.97x^2+25.25x+5\)
So, function that models the total number of visitors at both parks each hour after sunrise: \(\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}\)
Option B is correct.
Answer: For plato family
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
Step-by-step explanation:
I just took the test
Solve the equation
(If possible please show work)
Answers
2 - 4n = 2 - (12 - 8n) distribute the 4
2 - 4n = 2 - 12 - 8n parentheses don’t matter anymore
2 - 4n = -10 - 8n subtract 12 from 2
2 = -10 - 4n add 4n to both sides
12 = -4n add 10 to both sides
-3=n divide both sides by -4
Hope this helps!!:)
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}\)
Step-by-step explanation:
\( \sf{2 - 4n = 2 - 4(3 - 2n)} \)
Distribute 4 through the parentheses
⇒\( \sf{ 2 - 4n = 2 - 12 + 8n}\)
Move 8n to left hand side and change it's sign
⇒\( \sf{2 - 4n - 8n = 2 - 12}\)
Collect like terms
⇒\( \sf{2 - 12n = 2 - 12}\)
Move 2 to right hand side and change it's sign
⇒\( \sf{ - 12n = 2 - 12 - 2}\)
Calculate
⇒\( \sf{ - 12n = - 12}\)
Divide both sides of the equation by -12
⇒\( \sf{ \frac{ - 12n}{ - 12} = \frac{ - 12}{ - 12} }\)
Calculate
⇒\( \sf{n = 1}\)
Hope I helped!
Best regards!!
can anyone answer this por favor
Answers
Answer:
first we need a equation so we can figure out how much it will cost for 1, 2, 3, and 4 hours of work.
50x+75>175
so lets just plug these hours in
1. 50(1)+75>175
125<175
1=175
2. 50(2)+75>175
175=175
2=175
3. 50(3)+75>175
225>175
3=225
4. 50(3)+75>175
275>175
4=275
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Answers
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
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Find the volume of the right cone below. Round your answer to the nearest tenth if necessary.
21
8
Answers
The requreid volume of the right cone is 1,411.2 cubic units.
We need to use the formula for the volume of a cone:
\(V = (1/3)\pi r^2h\),
where r is the radius of the base of the cone and h is the height of the cone.We are given that the height of the cone is 21 and the radius of the base is 8.
V = (1/3)π(8²)(21)
V = 1,411.2 cubic units (rounded to the nearest tenth).
Therefore, the volume of the right cone is approximately 1,411.2 cubic units.
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Enter a simplified fraction to represent the ratio where ∠ A is the angle of reference.
Solve for opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent in fraction form, please.
Answers
A simplified fraction to represent the ratio where ∠A is the angle of reference is 12/13.
How to calculate the magnitude of angle A?In order to determine the magnitude of angle A, we would apply cosine ratio because the given side lengths represent the adjacent side and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.By substituting the given side lengths cosine ratio formula, we have the following;
cos(θ) = Adj/Hyp
cos(A) = 1.2/1.3
cos(A) = 1.2/1.3 × 10/10
cos(A) = 12/13
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Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kitemeasures 70°, how high is the kite above Brian’s head? (round your answer to the nearest whole number)
Answers
The height of the kite above Brian's head is approximately 186 meters.To determine the height of the kite above Brian's head, we can use trigonometry and the given angle of elevation.
Let's consider the right-angled triangle formed by the kite string, the height of the kite, and the horizontal distance from Brian to the kite. The angle of elevation, 70°, is the angle between the horizontal ground and the kite string. In this triangle, the opposite side represents the height of the kite, and the hypotenuse represents the length of the kite string, which is 65 meters. Using the trigonometric function tangent (tan), we can set up the following equation: tan(70°) = height / 65. Solving for the height, we have: height = tan(70°) * 65. Calculating this value, we find: height ≈ 185.55.
Rounding this to the nearest whole number, the height of the kite above Brian's head is approximately 186 meters.
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A parallelogram has four congruent sides, and one of the angles measures 37°. What is the figure?
rhombus
square
trapezoid
rectangle
Answers
Answer:
Should be a rhombus since it has four congruent sides.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
Simplify the expression
9 (a - 4)
Answers
Vectors A, B, and C have the given components. A₁ = 5.0 A, = 4.0 B₁=5.0 B, -8.0 C₁8.01 C₂ = 9.0 Find the components of the combinations of these vectors. (A + B) = (A-40€) - (A+B-C) - (A + B), = (₁-4.00), - (A+B-C), =
Answers
To find the components of the combination of vectors (A + B), we add the corresponding components of vectors A and B.
Given: A₁ = 5.0 A A₂ = 4.0 B B₁ = 5.0 B C₁ = 8.0 C C₂ = 9.0
To find (A + B): (A + B) = (A₁ + B₁) i + (A₂ + 0) j = (5.0 A + 5.0 B) i + (4.0 B + 0) j = 10.0 A i + 4.0 B i + 0 j = (10.0 A + 4.0 B) i
To find (A - 4.0 C): (A - 4.0 C) = (A₁ - 4.0 C₁) i + (A₂ - 4.0 C₂) j = (5.0 A - 4.0 * 8.0 C) i + (4.0 B - 4.0 * 9.0) j = (5.0 A - 32.0 C) i + (4.0 B - 36.0) j
To find (A + B - C): (A + B - C) = (A₁ + B₁ - C₁) i + (A₂ + 0 - C₂) j = (5.0 A + 5.0 B - 8.0 C) i + (4.0 B + 0 - 9.0) j = (5.0 A + 5.0 B - 8.0 C) i + (4.0 B - 9.0) j
To summarize: (A + B) = (10.0 A + 4.0 B) i (A - 4.0 C) = (5.0 A - 32.0 C) i + (4.0 B - 36.0) j (A + B - C) = (5.0 A + 5.0 B - 8.0 C) i + (4.0 B - 9.0) j
Please note that the component for vector C₂ is missing in the given information. If you provide the missing value, I can calculate the components more accurately.
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Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
Answers
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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volume of prism
25cm 40cm
Answers
Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
Answer:
The volume of a rectangular prism with length 25 cm and width 40 cm can be calculated as follows:
Volume = Length * Width * Height
Since the height is not given, we cannot calculate the exact volume.
Step-by-step explanation:
The K.C. Juice Company plans to reduce the size of its original juice box, shown below. The new juice box will be 1 centimeter
shorter in height than the original box.
10 cm
KC
Apple
Juice
3 cm
7 cm
What is the difference between the volumes of the original and new juice boxes?
Answers
Answer: The difference is 21
Step-by-step explanation:
first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.
210-189=21
189+21=210
Which expression is equivalent to 10 - 8?
A) 10+8
B) 8-10
C) 10-(-8)
Answers
10+8=18
8-10=-2
10-(-8)=18
and you’re looking for an equation that equals to 10-8 which equals 2 and none of them equal 2. so it’s neither
Hello, I need help with sample dpace
Answers
Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4
Step-by-step explanation:
This is the last one but how do you find y ? what do I subtract 5 from ?
Answers
Answer:
y = 250
Step 1:
To solve, we plug in 50x for y.
\(50x=200+10x\)
Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.
\(40x=200\)
Then, we divide both sides by 40, since we have to get the x by itself.
\(\frac{40x}{40}=x\\\\\frac{200}{40} =5\)
x = 5
Step 2:
Now that we found x, we plug in 5 to the original equation and solve from there.
\(y=200+10(5)\\y=200+50\\y=250\)
y = 250
The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?
Answers
If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.
The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.
It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.
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please help
1. + 6 - (+3) =
2. + 10 + (-10) =
3. - 3 + (-3 ) =
4. + 24 - 21 =
5. - 48 - (-44) =
6. -12 - (-4 ) + 3 =
7. + 16 -(-15) =
8. - 35 - (-36) =
9. -6 * 10 =
10. -10 * -10 =
11. + 7 * - 7 =
12. -4 / -4 =
13. -6 * - 5 =
14. -10 * + 7 =
15. -4 * - 7 =
Answers
Answer:
Step-by-step explanation:
1. + 6 - (+3) = 3
2. + 10 + (-10) = 0
3. - 3 + (-3 ) = -6
4. + 24 - 21 = 3
5. - 48 - (-44) = 92
6. -12 - (-4 ) + 3 = -5
7. + 16 -(-15) = 31
8. - 35 - (-36) = 1
9. -6 * 10 = -30
10. -10 * -10 =100
11. + 7 * - 7 = -49
12. -4 / -4 = 1
13. -6 * - 5 = 30
14. -10 * + 7 = -30
15. -4 * - 7 = 28
Which two points are on the graph of y=x+3?
Answers
Answer:
(0, 3) and (-3, 0) are just two out of an infinite number of other points
Step-by-step explanation:
I found these 2 points by plugging in 0 for x and y would equal 3
Then I plugged in 0 for y and x would equal -3
Find the area of a circle with a circumference of 31.4 units
Answers
Answer:
Step-by-step explanation:
hope it helps you
Can anybody help me I’m stuck
Answers
Answer:
343
Step-by-step explanation:
Volume of a cube = s³
where s = side length of cube.
Here we are given that the edge of the cube measures 7 inches so S = 7
V = s³
==> s = 7
V = 7³
==> evaluate exponent
V = 343
\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)
\( \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}\)
Cube:-
A Rubik's cube style puzzle, not necessarily in the shape of a cube cube is having it's all 6sides equalHence
Here "a" is for number of edges given Now let's substitute the value\(\rule{70mm}{2.9pt}\)
\(\sf\:volume \:of \:cube ⇒ {7}^{3} \\\sf\: volume\: of \:cube⇒7 \times 7 \times 7 \\ \sf\:volume\: of \:cube ⇒343in³\)
Hence the volume of cube = 343in³
\(\rule{70mm}{2.9pt}\)
\( \pink{\underline{ \boxed{ \sf{✰\:343in³ ✓}}}}\)
Hope it helps !
consider 3 urns. urn acontains 2 white and 4 red balls, urn bcontains 8 white and 4 red balls, and urn ccontains 1 white and 3 red balls. if 1 ball is selected from each urn, what is the probability that the ball chosen from urn awas white given that exactly 2 white balls were selected?
Answers
0.636 is the probability that the ball chosen from urn .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Urn A contains 2 W, 4 R
Urn B contains 8 W, 4 R
Urn C contains 1 W, 3 R
Probability of selecting 3 balls out of which 2 are white
P(J)=P(WWR)+P(WRW)+P(RWW)
= 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288
Probability that the ball chosen from Urn A was white given that exactly 2 white balls were selected
P(A/J) = P(A ∩ J)/P(J)
= 56/288/88/288
= 0.636
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given that p(a ∩ d)=2/5, find p(~ (a ∩ d)).
Answers
The probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.
The symbol "∩" represents the intersection of two events.
For example, "a ∩ d" means the event where both "a" and "d" occur together.
The symbol "~" means "not" or "complement." So, "~ (a ∩ d)" means the event where "a ∩ d" does NOT occur, or in other words, where "a" OR "d" does not occur.
Now, onto the question.
We are given that p(a ∩ d) = 2/5, which means that the probability of both events "a" and "d" occurring together is 2/5.
We want to find the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur.
To find this probability, we need to use some basic probability rules.
One of these rules is that the probability of an event happening (let's call it "E") is equal to 1 minus the probability of the complement of that event not happening (~E).
In other words, p(E) = 1 - p(~E).
So, if we apply this rule to the event "~ (a ∩ d)", we get:
p(~ (a ∩ d)) = 1 - p(a ∩ d)
Now we can substitute in the value we were given for p(a ∩ d):
p(~ (a ∩ d)) = 1 - 2/5
Simplifying this gives:
p(~ (a ∩ d)) = 3/5
Therefore, the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.
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what is the typical period of time used in a short-interval schedule? one day three months three weeks one week
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In summary, the typical period of time used in a short-interval schedule is one week.
A short-interval schedule is a type of work schedule used by employers to plan and assign work hours to their employees in a more frequent and flexible manner. The typical period of time used in a short-interval schedule is one week.
This means that instead of planning out work schedules for longer periods such as a month or a quarter, employers using short-interval schedules plan work schedules for shorter periods of time, typically one week. This allows employers to adjust the work schedules based on changes in demand, production, or employee availability.
Short-interval schedules are often used in industries that have fluctuating demands or that require a high level of flexibility. Examples of such industries include retail, hospitality, and healthcare. With short-interval schedules, employees can work different shifts and hours each week, which can help them to balance their work and personal lives.
In summary, the typical period of time used in a short-interval schedule is one week.
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