A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
What is a functiοn?In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.
Here, we have
Given:
Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C
After 14 days, the percentage οf the mοοn is zerο
A = (max-min)/2 = 50/2 = 25
The periοd = 28 days
P = Acοs(BT = t) + c
B = 2π/periοd = 2π/28 = π/14
c = min + A = 0 + 25 = 25
We get,
P = 25cοs(π/14t) + 25,
Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.
Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
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Need help please
The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 2 mg.
What was the initial mass (in mg) of the sample? --------------
What is the mass 7 weeks after the start?-------------
help please! state the key features for the graph
Answer:
Axis of symmetry =1
vertex =(1,2)
y intercept =0
min/max= -6,2
domain= 0,1,2
range =y≥1,2
Determine the circumference and approximate area of the
given circle, using 3.14 for pie.
The circumference and approximate area of the given circle is 69.08 inches & 380.14 square inches.
What is circumference?
Circumference is the distance around the edge of a circular object or a round shape. It is the length of the boundary or perimeter of the circle. The formula is given by C = 2πr, where C is the circumference, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Using this formula and plugging in the given value of radius:
C = 2 x 3.14 x 11
C = 69.08 inches (rounded to two decimal places)
So the circumference of the circle with 11 inches radius is approximately 69.08 inches.
The area of a circle is given by the formula:
A = πr²
Again, using the given value of radius and approximating π to 3.14:
A = 3.14 x 11²
A = 3.14 x 121
A = 380.14 square inches (rounded to two decimal places)
So the approximate area of the circle with 11 inches radius is approximately 380.14 square inches.
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I need help
A population of bacteria is growing according to the equation p(t)=800e^0.14t Estimate when the population will exceed 1151.
t= ---------
Answer: t=2.59
Step-by-step explanation:
This is a matter of clearing out the equation
set 1151=800e^0.14t
1151/800=e^0.14t
ln(1151/800)/0.14=t
t=2.59
Find the area of the triangle. Plsss answer
Answer:
1. 90
2. 468
Step-by-step explanation:
Answer:
Question 1). 45 in
Question 2). 234 m
Step-by-step explanation:
Area = base x height x 1/2
10 x 9 = 90
90 x 1/2 = 45
Question 2)
30 x 15.6 = 468
468 x 1/2 = 234 m
Regis has a bag with 8 tiles numbered
1 through 8. He randomly draws one tile
from the bag without looking Which of
the following describes a likely outcome?
A. He selects a tile with the number 0.
B. He selects a tile with the number 4.
C. He selects a tile with a number
greater than 7.
D. He selects a tile with a number
less than 6.
The outcome that Regis is likely to get after randomly drawing one tile from the bag would be 0. That is option A.
How to calculate the outcome of that event?To calculate the outcome of the event is to calculate the probability of selecting a tile with a number when one tile is drawn at random.
Probability = possible outcome/sample space.
Possible outcome = 1
sample space = 8
probability = 1/8 = 0.125
The probability is approximately = 0
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Calculate the volume of a sphere with a diameter of 4.
Answer: 33.51 cubic units.
Step-by-step explanation: The equation for the volume of a circle is:
V = (4/3)πr³
where r is the sweep of the circle.
Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:
r = d/2 = 4/2 = 2
Presently we are able plug within the esteem of the sweep into the equation for the volume:
V = (4/3)π(2³) = (4/3)π(8) = 32/3π
Answer: 33.51
Step-by-step explanation:
The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.
2, 8, 18, 32, …
This sequence can be represented by the explicit function f(x) = 2x^2
True or False?
Answer:
False.
To determine if the sequence 2, 8, 18, 32, ... can be represented by the explicit function f(x) = 2x^2, we can test whether this formula generates the terms of the sequence.
When x = 1, we have f(1) = 2(1)^2 = 2, which is the first term of the sequence.
When x = 2, we have f(2) = 2(2)^2 = 8, which is the second term of the sequence.
However, when x = 3, we have f(3) = 2(3)^2 = 18, which is the third term of the sequence. But the fourth term of the sequence is 32, which is not generated by the formula f(x) = 2x^2 when x = 4.
Therefore, the sequences 2, 8, 18, 32, ... cannot be represented by the explicit function f(x) = 2x^2.
Maria works for an online auto trader. She makes a piecewise function to show the cost to place an online
advertisement.
(39
(39+5(x-6)
What is the cusp of the function?
c(x)
whenx ≤6
when x>6
According to the given information, the function has no cusp.
What is a function?
A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.
The given piecewise function is:
c(x) = 39, when x ≤ 6
c(x) = 39 + 5(x - 6), when x > 6
A cusp is a point on the graph where the function changes direction very abruptly, like a sharp turn. This happens when the derivative of the function is not defined at that point.
The derivative of the function is:
c'(x) = 0, when x ≤ 6
c'(x) = 5, when x > 6
Since the derivative is defined and continuous at x = 6, there is no cusp at that point. Therefore, the function has no cusp.
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Find an equation of the plane.
The plane that passes through the line of intersection of the planes
x − z = 3 and y + 3z = 3
and is perpendicular to the plane
x + y − 4z = 6
The equation of the plane that passes through the line of intersection of x - z = 3 and y + 3z = 3 and is perpendicular to x + y - 4z = 6 is x + y - 4z = 3.
What is point normal form?The point-normal form of the equation of a plane is given by:
N · (<x - x0>, <y - y0>, <z - z0>) = 0
Where (x0, y0, z0) is a point on the plane and N = is a normal vector to the plane, we have the point-normal form of the equation of a plane. The dot product of the vector from the supplied location to any point on the plane with the normal vector to the plane yields this form of the equation. The equation states that any vector located in the plane with the normal vector has a zero dot product. The scalar equation of the plane can also be found by expanding the dot product, and it takes the form axe + by + cz = d, where d = N (x0, y0, z0).
Given the equation of the planes is x − z = 3 and y + 3z = 3.
Now, find the direction vector of the line of intersection:
Set z = t:
x = t + 3 and y = 3 - 3t
The direction vector is <1, -3, 1>.
2. Determine the normal vector:
The plane is perpendicular to the plane x + y - 4z = 6, so:
normal vector of x + y - 4z = 6, which is <1, 1, -4>.
3. Using point normal form we have:
(3, 0, 0)
The point satisfies the equation:
x - z = 3 and y + 3z = 3 when z = 0
Thus,
<1, 1, -4> · <x - 3, y, z> = 0
x + y - 4z = 3
Hence, the equation of the plane that passes through the line of intersection of x - z = 3 and y + 3z = 3 and is perpendicular to x + y - 4z = 6 is x + y - 4z = 3.
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Find the equation of the linear function represented by the table below in slope-
intercept form.
X
1
2
3
4
y
5
8
11
14
The equation of the linear function represented by the table in slope-intercept form is:
y = 3x + 2
What is slope-intercept form of line ?We can find the equation of the linear function represented by the table using the slope-intercept form:
y = mx + b
where "m" is the slope of the line and "b" is the y-intercept.
To find the slope, we can use any two points from the table. Let's use the first and last points:
slope (m) = (y2 - y1) / (x2 - x1)
slope (m) = (14 - 5) / (4 - 1)
slope (m) = 3
Now we can find the y-intercept "b" by substituting one of the points and the slope into the slope-intercept form:
y = mx + b
5 = 3(1) + b
5 = 3 + b
b = 2
So the equation of the linear function represented by the table in slope-intercept form is:
y = 3x + 2
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find the area and perimeter of each figure below.
Answer:
finding the perimeter, you sumthe distance all round that is 7+7.5+17.8+6=38.3
38.3 is the perimeter
Find the difference between the median and the mean by using 4.25, 6.25, 8,8,8, 4.25, 6,9,6, 8.25, 9.25
Check the picture below.
In circle L with m/KLM = 66 and KL = 9 units find area of sector KLM.
Round to the nearest hundredth.
Answer:
K
M
Submit Answer
B
attempt 1 out of 2
The area of the sector KLM is approximately 46.67 square units
Finding area of sector KLM.The area of a sector in a circle can be calculated using the formula:
Area of sector = (central angle/360) x pi x r^2
where r is the radius of the circle.
Substituting into the formula for the area of a sector:
Area of sector = (66/360) x 22/7 x (9)^2
Evaluate
Area of sector = 46.67 square units
Therefore, the area of sector KLM is approximately 46.67 square units square units when rounded to the nearest hundredth.
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Calculate the amount of simple interest earned. $6,000 at 12% for 7 years The interest is $
Answer:
$5040
Step-by-step explanation:
Apply the formula
SI = (Principal)(Rate)(Time)
= 6000×0.12×7
= $5,040
solve y''+y=t using laplace inverse with y(0)=1 and y'(0)=-2
The solution of the differential equation y'' + y = t with the initial conditions y(0)=1 and y'(0)=-2 is y(t)= 1-2t+te-t.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions. It shows the relationship between two or more variables and can be written using symbols, numbers, and operations. Equations are used to describe physical laws, to make calculations, and to solve problems. Examples of equations include the Pythagorean theorem, Newton's laws of motion, and linear equations.
We solve this differential equation using Laplace inverse, with the initial conditions y(0)=1 and y'(0)=-2. First, we take the Laplace transform of the equation:
L[y''+y]=L[t]
Using the properties of Laplace transform, we can write this as:
s2Y(s)-sy(0)-y'(0)+Y(s)= (1/s)
Substituting the initial conditions and rearranging terms, we have:
Y(s)= (1/s) + (2/s2) + (1/s2)
We can then invert the Laplace transform to get the solution of the original equation:
y(t)= 1-2t+te-t
Therefore, the solution of the differential equation y'' + y = t with the initial conditions y(0)=1 and y'(0)=-2 is y(t)= 1-2t+te-t.
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Hey there, I believe I missed the lesson on how to solve for x and y from this photo. Any help and guidance would be appreciated!
Answer:
Try using Special Right Triangles
Step-by-step explanation:
I think it is a carry-on of special right triangles. Since it is 90 degrees let's just assume it is a 60,30,90 triangle. we know the long leg is 6 from the x-6 on the bottom left, and 4rad3 is the hypotenuse.
Long leg: rad 3
Short leg: 1
Hypotenuse: 2
use these ratios to help
I would put 4rad3 across from 2 and y across from 1
aka: 4rad3/y = 2/1
also 4rad3 across from 2 and x across from rad 3
aka:4rad3/x=2/rad3
to find y you simplify
and
to find x also simplify
What is the area of the trapezoid?
Enter your answer in the box.
The area of given trapezoid whose parallel sides are 8 inches, 16 inches & its perpendicular height is 6 inches is 72 inches².
What is a trapezoid?
Quadrilaterals or four-sided polygons with one pair of parallel sides and one pair of non-parallel sides are known as trapezoids, usually spelt trapezium. It has a perimeter and covers a certain amount of space. The bases of the trapezium are the sides that are parallel to one another. Legs or lateral sides indicates to the non-parallel sides. The altitude or perpendicular height is the separation between the parallel sides. This shape's area is equal to half of the product of its parallel sides times its height.
Given dimensions of trapezoid:
let parallel sides be denoted by a , b & height be 'h'
a= 8 inches (top side)
b= 8+4+4=16 inches (bottom side)
h= 6 inches
Area = [tex]\frac{sum of parallel sides}{2}[/tex] x height
=[tex]\frac{(a+b)h}{2}[/tex]
=[tex]\frac{(8+16)6}{2}[/tex]
=[tex]\frac{24(6)}{2}[/tex]
=24 x 3
=72 sq. inches
The area of given trapezoid is 72 inches²
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Which of these functions could have the graph shown below?
• A. f(x) = 30^30x
• B. f(x) = e^30x
• C. f(x) = 3^x
• D. f(x) = 30e^x
The correct option is - D. f(x) = 30[tex]e^{x}[/tex] is the exponential function which is shown by the given curve.
Explain about the exponential function:For modelling a connection where the dependent variable changes proportionally to a constant variation in the independent variable, the exponential function is utilised.
Often, the function is written as exp (x) It is extensively utilised in the fields of mathematics, physics, chemistry, engineering, physical science, and economics.
Assume that an is the starting point, x is the exponent function's power, and e is the growing factor.
Exponent is provided as
y = a(e)ˣ
According to the graph, the exponent function's value at x = 0 will be 30.
The purpose will then be
30 = a(e)⁰
30 = a
The exponent function is then provided as,
y = 30eˣ
As a result, the graph in the functions below will have a value of y = 30eˣ.
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Please help me and ty :)
Answer:
$60
Step-by-step explanation:
In a set of data, the median is the value that is placed in the middle. to find the median, we must order the numbers from least to greatest, like so:
20, 40, 40, 50, 60, 60, 60, 60, 70, 70
Using this representation, we find that there are two numbers in the middle: 60 and 60 (since the amount of data is an even number, there will be two numbers in the center).
When something like this occurs, find the average of the two numbers in the middle (and the values and divide by the number of values). We have:
60 + 60 = 120;
[tex]\frac{120}{2} = 60[/tex]
Therefore, the median is $60.
- Miguel cut of a round pie, Mariah cut
a piece from the same pie with an angle
measure of 60°, Who cut the larger
piece? Explain.
To determine who cut the larger piece of pie, we need to compare the size of the two pieces.
Since Miguel's piece is not described in terms of angle, we cannot compare the size of his piece to Mariah's piece directly in terms of their angles. Instead, we can use the fact that the area of a circular sector (a "pie slice") is proportional to the angle that the sector subtends at the center of the circle, and to the square of the radius of the circle:
Area of sector = (θ/360) x πr^2
where θ is the angle of the sector in degrees, and r is the radius of the circle.
Let's assume that the two pieces of pie have the same radius r.
If we assume that the original pie was a complete circle, then it had an angle of 360 degrees, and we can calculate the area of the whole pie as follows:
Area of whole pie = (360/360) x πr^2 = πr^2
Since Miguel's piece is not described in terms of angle, let's assume that it has a central angle of 300 degrees (i.e., he cut a sector with an angle of 300 degrees). The area of Miguel's piece is then:
Area of Miguel's piece = (300/360) x πr^2 = 5/6 x πr^2
Now consider Mariah's piece. We are told that she cut a sector with an angle of 60 degrees. The area of her piece is:
Area of Mariah's piece = (60/360) x πr^2 = 1/6 x πr^2
Since 5/6 is greater than 1/6, Miguel's piece is larger than Mariah's piece.
Therefore, we can conclude that Miguel cut the larger piece of pie.
I need help solving this thank you
The negation is the fourth option.
6 + 3 ≠ 9 or 6 - 3 ≠ 9
How to write the negation?The negation of an equation is an inequality such that we just change the equal sign, by the "≠" sign.
Here we start with the two equations.
6 + 3 = 9 or 6 - 3 = 9
Just change the equal signs for different signs:
6 + 3 ≠ 9 or 6 - 3 ≠ 9
That is the negation, fourth option.
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A rectangle has an area of 104cm^2 and a width that measures 8 cm. Find the perimeter of the rectangle.
Answer:
p=42
Step-by-step explanation:
S=104 sm^2
a=8 sm
S=a*b
104 sm^2=8*b
b=104 sm^2/8 sm=13 sm
P=2*(a+b)=2*(13 sm+8 sm)=42 sm
On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).
Which statement best explains the relationship between lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
y – 1 = 6x
y – 1 = 3x
y – 7 = 2x – 6
y – 7 = x – 2
Option A: Because their slopes are equivalent, they are parallel.
What is the slope relationship when two lines join to make a right angle?Perpendicular lines are those that cross each other at a perfect 90-degree angle. The result of adding the slopes of two parallel plane lines is one. In other words, the slopes of perpendicular lines are the reciprocals of their opposites.
The following information is provided in the query:
Line AB:
(-4, -2), (4,4)
Line CD:
(0,-3), (4,0)
Formula to calculate slope =
x1,y1), (X2, y2)
Slope = m 2 – 31/X2X1
Slope of AB =3/4
Slope of CD =(0,-3)(4,0)
mCD = 3/4
Thus,
mAB = mCD
Thus, the two lines are parallel.
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Line AB has a slope of (4-(-2))/(4-(-4)) = 6/8 = 3/4, while line CD has a slope of (0-(-3))/(4-0) = 3/4. The slopes are equal, so the correct statement is: They are parallel because their slopes are equal.
What is coordinate plane?A coordinate plane is a two-dimensional plane that is enclosed by the x-axis and y-axis, two perpendicular number lines.
It is used to graph linear equations and plot, locate, and find points.
For line QR that goes through points Q(0, 1) and R(2, 7), we can use the point-slope form of a line:
y - y1 = m(x - x1)
We can substitute the given values and simplify:
m = (7-1)/(2-0) = 3
y - 1 = 3(x - 0)
y - 1 = 3x
The equation that represents line QR is: y - 1 = 3x
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m 32 33 There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box? A 18 B C 20 30 D 48 What is the surface area, in square inches, of the rectangular prism formed by folding the net below? 8 in. 23 in. 8 in. 36 in.
The number of red tiles in the box given the chance ratio of red to blue tiles is 18. The surface area of the rectangular prism is 2600 square inches.
Number of red tiles = x
Number of blue tiles = 12 + x
Total tiles = x + 12 + x
= 12 + 2x
Ratio of red = 3
Ratio of blue = 5
Total ratio = 3 + 5 = 8
Number of red tiles = 3 / 8 × 12+2x
x = 3(12 + 2x) / 8
x = (36 + 6x) / 8
8x = 36 + 6x
8x - 6x = 36
2x = 36
x = 36/2
x = 18 tiles
Therefore, The number of red tiles in the box given the chance ratio of red to blue tiles is 18.
b) To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
Therefore, the surface area of the rectangular prism is 2600 square inches.
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Which statements describe a parallelogram that must be a rectangle?
Select each correct answer.
parallelogram with a pair of congruent consecutive sides
parallelogram with congruent diagonals
parallelogram with opposite sides congruent
• parallelogram with a right angle
• parallelogram with perpendicular diagonals
Answer:
A parallelogram with congruent diagonals, a parallelogram with a right angle, a parallelogram with perpendicular diagonals.
Step-by-step explanation:
By definition, a rectangle is nothing but a parallelogram with one right angle. One of the properties of a rectangle is that its perpendiculars are congruent. Finally, the diagonals of a rectangle are congruent (this can be proved by finding congruent triangles split by the diagonals, using CPCTC, etc.).
Which ordered pairs lie on the graph of the exponential function f(x)=−32x+5
?
The ordered pair (0, 2) lies on the graph.
The ordered pair (-1, 0) lies on the graph.
The ordered pair (-1, 0) lies on the graph.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
The exponential function f(x) = -32x+5 can be written in the form of
f(x) = [tex]a(b^{x})+c[/tex], where a, b, and c are constants. Comparing with the given function, we have a = -3, b = 2, and c = 5.
To find the ordered pairs that lie on the graph of the exponential function, we can plug in different values of x and calculate the corresponding values of y using the function. Here are some examples:
When x = 0, we have f(0) = [tex]-3(2^{0})[/tex] + 5 = 2. Therefore, the ordered pair (0, 2) lies on the graph.
When x = 1, we have f(1) = [tex]-3(2^{1})[/tex] + 5 = -1. Therefore, the ordered pair (1, -1) lies on the graph.
When x = -1, we have f(-1) = [tex]-3(2^{-1})[/tex] + 5 = 6/2 - 3 = 0. Therefore, the ordered pair (-1, 0) lies on the graph.
We can continue this process to find more ordered pairs that lie on the graph of the exponential function.
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Determine if the series converges or diverges. If the series converges, find its sum.
80
Σ
5
n(n+3)
OA. The series converges to
B. The series converges to
55
18
25
6
Hence,the sum of this series is approximately 1.193.
What is the series?A series in mathematics is essentially the process of adding an unlimited number of quantities, one after the other, to a specified initial amount. A significant component of calculus and its generalization, mathematical analysis, is the study of series.
What is the convergence series?If a series partial sum sequence tends to a limit, it is said to be convergent (or to converge); this indicates that if one adds partial sums one after the other in the order indicated by the indices, they approach closer and closer to a specified number.
Comparing the two series will help us better understand how they differ.
[tex]\lim_{n \to \infty} \frac{\frac{5}{n(n+3)}}{\frac{1}{n^2}}= \lim_{n \to \infty} \frac{5n^2}{n(n+3)}= \lim_{n \to \infty} \frac{5n}{n+3}= 5[/tex]
Since both series either converge or diverge together, the limit is a positive finite number. The supplied series [tex]\sum_{n=1}^{\infty} \frac{1}{n^2}[/tex]also converges because the series [tex]\sum_{n=1}^{\infty} \frac{5}{n(n+3)}[/tex] converges (by the p-series test with p = 2).
We can employ the partial fraction decomposition to determine the sum:
[tex]\frac{5}{n(n+3)} = \frac{1}{n} - \frac{1}{n+3}[/tex]
Consequently, we have
[tex]\sum_{n=1}^{\infty} \frac{5}{n(n+3)} \\= \sum_{n=1}^{\infty} \left(\frac{1}{n} - \frac{1}{n+3}\right)\\= \left(1 - \frac{1}{4}\right) + \left(\frac{1}{2} - \frac{1}{5}\right) + \left(\frac{1}{3} - \frac{1}{6}\right) + \dots\\[/tex]
[tex]= \frac{3}{4}+ \frac{3}{10}+ \frac{1}{6} + \dots\\[/tex]
The harmonic series of corresponding terms and the sequence [tex]0, 0, \frac{1}{6}, 0, 0,\frac{1}{30}, 0, 0, \frac{1}{42}, 0, 0,\frac{1}{66},...[/tex] can be added to find the sum of this series. The total is approximately 1.193.
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Four dice are rolled. Find the probability all four are 6's
The probability of rolling a single die and getting a 6 is 1/6. Since the rolls of the four dice are independent, the probability of getting a 6 on all four dice is (1/6) x (1/6) x (1/6) x (1/6), which simplifies to 1/1296.
Find the probability all four are 6's ?To see why this is the case, consider that there are 6 possible outcomes for each roll of a single die (1, 2, 3, 4, 5, or 6). Therefore, the total number of possible outcomes for four rolls of a die is 6 x 6 x 6 x 6, or 1296. Out of these 1296 possible outcomes, only one of them is rolling four 6's. Thus, the probability of rolling four 6's is 1/1296.
Therefore, the probability of all four dice being 6's is very low, only 1/1296 or approximately 0.08%. This is because the chances of getting a specific number on a single die is relatively small, and the probability decreases with each additional die that is rolled.
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In a recent survey, people were asked whether they would prefer to work flexible hour
- even when it meant slower career advancement-so they could spend more time with their
families. The figure shows the results of the survey. What is the probability that four people chosen at random would prefer flexible work hours? (Round your answer to four decimals)
The probability of the given situation through which the given relation is satisfied is 0.78
What about probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to occur.
The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, or 0.5, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
Probabilities can also be expressed as percentages or fractions. For example, a probability of 0.25 can be expressed as 25%, or as a fraction of 1/4.
Probability theory is a branch of mathematics that deals with the analysis of random events and the quantification of uncertainty. It has applications in a wide range of fields, including statistics, physics, finance, and engineering.
According to the given information:Flexible hour work = 78%
Don't Know = 9%
Rigid hour = 13%
The probability of that 4 people choose flexible hour for work is,
0.78
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