The defect levels reported by Motorola in their Six Sigma program were higher than expected because of the nature of their processes following an exponential distribution.
This means that Motorola only allowed for failure in one tail of the distribution, which increases the likelihood of failure and causes the defect levels to be higher than the standard normal table's capability calculations. Additionally, Motorola had not accounted for a 1.5 sigma shift in the mean, which also contributed to the higher defect levels. Through their Six Sigma efforts, Motorola found that their process variation had increased, which explains why their defect levels were higher than expected.
To learn more about six sigma program refer :
https://brainly.com/question/30269340
#SPJ11
two angles are supplementary. if one angle is two times the sum of other angle and 3, find the two angle
The answer of the given question based on the supplementary angle is the two angles are 58° degrees and 122° degrees.
What is Angle?An angle is a geometric figure that is formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called sides or arms of angle. Angles are typically measured in the degrees or the radians.
The measure of an angle is determined by the amount of rotation needed to bring one of its sides into coincidence with the other side. A full rotation is 360° degrees, so an angle that is half of a full rotation is 180 degrees, an angle that is a quarter of a full rotation is 90° degrees, and so on.
Let's call the two angles "x" and "y". We know that they are supplementary, which means that their sum is 180° degrees:
x + y = 180
We also know that one angle (let's say "x") is two times the sum of the other angle (y) and 3:
x = 2(y + 3)
Now we can substitute the second equation into the first equation to eliminate "x":
(2(y + 3)) + y = 180
Simplifying the equation, we get:
3y + 6 = 180
Subtracting 6 from both sides, we get:
3y = 174
Dividing both sides by 3, we get:
y = 58
Now that we know "y", we can substitute it back into the equation for "x" to find its value:
x = 2(y + 3) = 2(58 + 3) = 122
Therefore, the two angles are 58° degrees and 122° degrees.
To know more about Equation visit:
https://brainly.com/question/9312365
#SPJ9
6,7,7,8,9,10,10,10,10,13,13,14,14,15,15 box and whisker plot
The box and whisker plot can be created by :
Minimum value - 6
Maximum Value - 15
Median - 10
Quartiles - Q1 - 7.5, Q2 - 10, Q3 - 13.5
To create a box and whisker plot for the given data set {6,7,7,8,9,10,10,10,10,13,13,14,14,15,15}, we need to first find the minimum value, maximum value, median, and quartiles.
Minimum value: 6
Maximum value: 15
Median: To find the median, we need to first arrange the data set in ascending order:
6,7,7,8,9,10,10,10,10,13,13,14,14,15,15
The median is the middle value in the data set, which is 10.
Quartiles: To find the quartiles, we need to divide the data set into four equal parts.
First quartile (Q1): The first quartile is the median of the lower half of the data set. In our case, the lower half of the data set is:
6,7,7,8,9,10
The median of this set is (7+8)/2 = 7.5.
Second quartile (Q2): The second quartile is the median of the entire data set, which we already found to be 10.
Third quartile (Q3): The third quartile is the median of the upper half of the data set. In our case, the upper half of the data set is:
10,10,10,10,13,13,14,14,15,15
The median of this set is (13+14)/2 = 13.5.
Now, we can use the above information to create the box and whisker plot.
The horizontal line inside the box represents the median (10). The bottom of the box represents the first quartile (7.5), and the top of the box represents the third quartile (13.5). The whiskers extend from the box to the minimum value (6) and maximum value (15).
To know more about median
https://brainly.com/question/28060453
#SPJ4
find the consent of proportionality if the equation does not represent a proportional relationship select not proportional y=x/5
The answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.
What is proportion?
Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal.
To determine if the equation y = x/5 represents a proportional relationship, we need to check if there is a constant of proportionality between y and x.
If there is a constant of proportionality, then we can write y = kx, where k is the constant of proportionality. In other words, the ratio of y to x is always the same constant value.
To find the constant of proportionality for the equation y = x/5, we can rearrange the equation as:
y/x = 1/5
This means that the ratio of y to x is always 1/5. Therefore, there is a constant of proportionality, which is 1/5.
So, the equation y = x/5 represents a proportional relationship, and the constant of proportionality is 1/5.
Therefore, the answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.
To know more about proportions visit:
brainly.com/question/30241688
#SPJ1
Which of the following equations represents a linear function? x = 9 4x − 3 = 15 y equals one half times x squared y equals negative one third times x minus 3
Therefore , the solution of the given problem of function comes out to be this equation has a single value for x = 4.5 .
What is function?The midterm test questions will cover all of the topics, including actual as well as fictitious locations and arithmetic variable design. a diagram showing the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox has a particular spot that might be used as a haven.
Here,
A linear function is represented by the equation:
=> 4x - 3 = 15
The formula for this equation is y = mx plus b, where m denotes the slope and b the y-intercept:
=> 4x - 3 = 15
=> 4x = 18
=> x = 4.5
As a result, this equation has a single value for x as its solution, indicating that it reflects a linear function.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
I’m stuck on how to work this ppq out
Therefore, the area of P is 4 times bigger than the area of Q.
What is area?Area is a measure of the amount of two-dimensional space enclosed by a closed figure, such as a square, rectangle, circle, or triangle. It is typically measured in square units, such as square meters (m²) or square centimeters (cm²). The formula for finding the area of a figure depends on the shape of the figure. For example, the area of a rectangle is found by multiplying its length by its width, while the area of a circle is found by multiplying π (pi) by the square of its radius. Knowing the area of a figure can be useful in many situations, such as when calculating the amount of material needed to cover a floor or when determining the capacity of a container. It is also an important concept in geometry, where it is used to compare the sizes of different shapes and to solve problems involving the relationships between them.
Here,
The area of a circle is given by the formula A = πr², where A is the area and r is the radius.
For shape P, the area is:
A_P = (3/4)π(20²) = 300π
For shape Q, the area is:
A_Q = (1/3)π(15²) = 75π
To find how many times bigger the area of P is than the area of Q, we can divide the area of P by the area of Q:
A_P / A_Q = (300π) / (75π) = 4
To know more about area,
https://brainly.com/question/22469440
#SPJ1
The cost of 5 skirts and 3 blouses is sh. , 750. Mueni bought three of the the skirts and one of the blouses for sh. 850. Find the cost of each item solve with formula
As per the unitary method, the cost of one skirt is sh 20 and the cost of one blouse is sh 550.
Let us assume that the cost of one skirt is x and the cost of one blouse is y. We can now form two equations based on the given information.
Equation 1: 5x + 3y = 1750
This equation represents the cost of 5 skirts and 3 blouses together, which is given as sh 1750.
Equation 2: 3x + y = 850
This equation represents the cost of 3 skirts and 1 blouse, which is given as sh 850.
To apply the unitary method here, we can first find the value of one skirt by dividing equation 1 by 5, and then find the value of one blouse by subtracting 3 times the value of one skirt from equation 2.
Dividing equation 1 by 5, we get:
x + (3/5)y = 350
Subtracting 3 times the value of one skirt from equation 2, we get:
y = 850 - 3x
y = 850 - 3(350/5)
y = 550
So, we have found the value of y, which is the cost of one blouse. Now, we can substitute this value of y in equation 1 to find the value of x, which is the cost of one skirt.
5x + 3(550) = 1750
5x + 1650 = 1750
5x = 100
x = 20
To know more about unitary method here
https://brainly.com/question/28276953
#SPJ4
Match the term with the definition: The length of the line through the center of a circle that touches two points on the edge of the circle. a) Radius b) Circumference c) Diameter d) Tangent Line
5% of a number is 23
1% of the same number is 4. 6
work out 16 % of the number
16 percentage of the unknown number is 73.6
To solve the problem, we can use the relationship between percentages and multiply/divide by factors of 100.
Let's start by finding the whole number that corresponds to 1% of the unknown number
1% of the number = 4.6
100 times 1% of the number = 100 x 4.6
Whole number corresponding to the unknown number = 460
We can now use this value to find 5% of the unknown number:
5% of the number = 5/100 x the number = (5/100) × 460 = 23
So we have confirmed that the number we found is correct.
Finally, to find 16% of the number, we can use the same approach
16% of the number = 16/100 x the number = (16/100) × 460 = 73.6
Learn more about percentage here
brainly.com/question/12715980
#SPJ4
the clock on the wall at the aops office has an hour hand that's 4 cm long and a minute hand that's 8 cm long. at exactly 2:00, at what rate, in centimeters per minute, is the distance between the tips of the two hands changing?
At exactly 2:00, the distance between the tips of the two hands is changing at the rate of 4 cm/min.Therefore, at exactly 2:00, the distance between the tips of the two hands is changing at the rate of [tex]2\sqrt{13}[/tex] cm/min.
What is meant by "at exactly 2:00"?The phrase "at exactly 2:00" means that at 2:00:00, the hour hand and the minute hand overlap. Both hands are together pointing upwards in the vertical direction. At this moment, the angle between the minute hand and the hour hand is 0 degrees.How do we determine the rate of change of the distance between the tips of the two hands?We start by calculating the angle between the two hands. The angle is given by:
θ(t) = 30h - 11/2m
where h is the number of hours past midnight and m is the number of minutes past the most recent hour. At exactly 2:00, h = 2 and m = 0. Thus:
θ(t) = 30(2) - 11/2(0) = 60 degrees
Next, we use the formula for the distance between two points (the tips of the two hands). Let the hour hand be at the point (0,0) and let the minute hand be at the point (x,y).
The distance between the two points is given by:
[tex]d(t) = \sqrt{(x^2 + y^2)}[/tex]
To find x and y, we use the formulas:
x(t) = r cos θ(t)y(t) = r sin θ(t)
where r is the length of each hand. At exactly 2:00:
[tex]r = 4 cmx(t) = 4 cos 60 = 2 my(t) = 4 sin 60 = 2\sqrt{(3) m}[/tex]
Therefore: [tex]d(t) = \sqrt{(x^2 + y^2)} = \sqrt{(2 m)^2 + (2sqrt(3) m)^2)} = 2\sqrt{(13) m}[/tex]
Finally, we differentiate with respect to time t to find the rate of change of [tex]d(t):d'(t) = 2\sqrt{13}[/tex] cm/min
for such more question on distance
https://brainly.com/question/17273444
#SPJ11
Pease help!!
Question below!
Answer: Line PQ is parallel to line LM
Step-by-step explanation:
We can check if they are of equal distance apart by checking if the ratios of the given lines are equal...in other words we must check if LP/PN=MQ/QN
We know that triangle PNQ is inscribed inside triangle LNM
Using the information we have we see that side LP is 18 units, PN is 16 units, MQ is 27, and QN is 24. With this information we can write out LP/PN=MQ/QN and see if it's true.
LP= 18, PN= 16, 18/16= 1.125
MQ= 27, QN=24, 27/24= 1.125
therefore, LP/PN=MQ/QN is true. Making line PQ and line LM parallel.
X=4 ?
X=28 ?
How to solve?
The value of x in the given linear equation of 4x = 28 is determined as 7.
What is the value of x in the linear equation?
To find the value of x in the linear equation 4x = 28, we need to isolate x on one side of the equation.
We can do this by dividing both sides of the equation by 4:
4x/4 = 28/4
Simplifying:
x = 7
Thus, identify the equation and the variable: In this case, the equation is 4x = 28, and the variable we want to solve for is x. Also simplify the linear equation by dividing both sides by 4, we get x = 7, which is the solution.
Learn more about linear equation here: https://brainly.com/question/28732353
#SPJ1
The complete question is below:
4x = 28
find the value of x
55 divided by 11 * 7 x (2 + 14)
560
1) PEMDAS so 2+14=16
2)55/11=5
3)5x7=35
4)35(16)=560
simple smoothing time period actual series forecast series forecast error 1 100 100 0 2 110 3 115 if a smoothing constant of .3 is used, what is the exponentially smoothed forecast for period 4? multiple choice 106.6. 103.0. 115.0. 104.4. 112.6.
The exponentially smoothed forecast for period 4 is 106.6.
As per given information,
Time period Actual series Forecast series Forecast error 1 100 100 0 2 110 3 115
Smoothing constant α=0.3
For calculating exponentially smoothed forecast for period 4,
First, we need to calculate exponentially smoothed forecast for period 2.
Smoothed forecast for period 2 = α (Actual demand for period 1) + (1-α) (Smoothed forecast for period 1)
= 0.3 (100) + (0.7) (100)= 30 + 70= 100
Next, we can calculate exponentially smoothed forecast for period 3.
Smoothed forecast for period 3 = α (Actual demand for period 2) + (1-α) (Smoothed forecast for period 2)
= 0.3 (110) + (0.7) (100)
= 33 + 70
= 103
Now, we can calculate exponentially smoothed forecast for period 4.
Smoothed forecast for period 4 = α (Actual demand for period 3) + (1-α) (Smoothed forecast for period 3)
= 0.3 (115) + (0.7) (103)= 34.5 + 72.1
= 106.6
For similar question on exponentially smoothed
https://brainly.com/question/16914603
#SPJ11
(1) if the number of bacteria in a culture is 5 million at the end of 6 hours and 8 million at the end of 9 hours, how many were present initially?
There were initially 4 million bacteria in the culture.
To determine the initial number of bacteria in the culture, we can follow these steps:
Step 1: Identify the given data.
At the end of 6 hours, there are 5 million bacteria.
At the end of 9 hours, there are 8 million bacteria.
Step 2: Find the rate of bacterial growth.
Since the number of bacteria increased by 3 million (8 million - 5 million) over 3 hours (9 hours - 6 hours), the rate of bacterial growth is 1 million per hour (3 million ÷ 3 hours).
Step 3: Calculate the initial number of bacteria.
The number of bacteria increased by 5 million over the 6 hours. Therefore, if we divide this number by the rate of growth, we can determine the initial number of bacteria. Divide 5 million by 1 million per hour, which results in 5 hours.
Step 4: Subtract the time from the initial time.
Since we know that the culture was growing for 5 hours before reaching 5 million, we can subtract 5 hours from 6 hours, which equals 1 hour.
Step 5: Calculate the initial number of bacteria at 1 hour.
Since the bacteria grow at a rate of 1 million per hour, at the end of the 1st hour, there would be 1 million bacteria. Subtracting this number from the 5 million at the end of 6 hours will give us the initial number of bacteria: 5 million - 1 million = 4 million bacteria.
So, there were initially 4 million bacteria in the culture.
To know more about bacteria refer here:
https://brainly.com/question/8008968#
#SPJ11
54 is what percent of 90? Question 9 options: 60% 65% 55% 52%
Answer:
The answer to your problem is, A. 60%
Step-by-step explanation:
54 of 90 can be written as: [tex]\frac{54}{90}[/tex]
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
[tex]\frac{54}{90} * \frac{100}{100}[/tex]
= [tex]\frac{( 54 * 100)}{90} * \frac{1}{100} = \frac{60}{100}[/tex]
Thus the answer to your problem is, A. 60%
Learn more here:
https://brainly.com/question/20802915
Answer:
x = 60%
Step-by-step explanation:
Let the unknown percentage be x.
We can make an expression using the given information.
[tex]\sf90*\frac{x}{100} =54[/tex]
Solve for x to find the percentage.
[tex]\sf\frac{90x}{100} =54\\90x=54*100\\\\90x=5400\\\\\frac{90x}{90}=\frac{5400}{90}\\\\ x=60[/tex]
h + i3 where i = 1 and h = 19 caculate
Answer:22
Step-by-step explanation:
h + i3 = ?
19 + 1X3 = 22
Answer:
h + i3 = 22
Step-by-step explanation:
Given expression,
→ h + i3
→ h + 3(i)
Now we have to use,
→ i = 1
→ h = 19
Let's simplify the expression,
→ h + 3(i)
→ 19 + 3(1)
→ 19 + 3
→ 22 => {final answer}
Hence, the solution is 22.
Solve for x helpp again x^7= 84
Answer:
x = 7 square root 84
OR
x = 1.88320258...
Step-by-step explanation:
Answer:
[tex]x=\sqrt[7]{84}[/tex]
Step-by-step explanation:
1) Take the 7th root of both sides.
[tex]x=\sqrt[7]{84}[/tex]
Check the answer:
[tex]x^7=84[/tex]
1) let x = ^7sqrt84
(^7sqrt84)^7 = 84
2) use this rule: ^7sqrtx^7 = x.
84=84
You are given 0.10 g samples of Na, Y. Go, and Mn. List the samples in order of the amount (moles) from smallest to largest OY
Therefore, the order of the samples from smallest to largest amount (moles) of OY is: Go, Y, Na, Mn.
In order to list the samples in order of the amount (moles) from smallest to largest OY, we need to calculate the number of moles of each element. Let's start with the given samples:Na -[tex]0.10 gY - 0.10 gGo - 0.10 gMn - 0.10 g[/tex]
Now, let's find the number of moles of each element:Na: The molar mass of Na is 22.99 g/mol.Number of moles of Na = mass of Na/molar mass of Na= 0.10 g/22.99 g/mol= 0.00435 molY: The molar mass of Y is 88.91 g/mol.Number of moles of Y = mass of Y/molar mass of Y= 0.10 g/88.91 g/mol= 0.00112 molGo: The molar mass of Go is 118.71 g/mol.Number of moles of Go = mass of Go/molar mass of Go= 0.10 g/118.71 g/mol= 0.00084 molMn: The molar mass of Mn is 54.94 g/mol.
Number of moles of Mn = mass of Mn/molar mass of Mn= 0.10 g/54.94 g/mol= 0.00182 molNow, we can list the samples in order of the amount (moles) from smallest to largest OY:Go (0.00084 mol) < Y (0.00112 mol) < Na (0.00435 mol) < Mn (0.00182 mol)
for such more questions on list the samples
https://brainly.com/question/30319285
#SPJ11
A salesperson earns a commission of $448 for selling $2800 in merchandise. Find the commission rate. Write your answer as a percentage.
Answer:
16%
Step-by-step explanation:
translation
x% times 2800 = 448
x% = 448 divided by 2800
x% = 0.16 = move decimal 2 spaces to the right = 16%
To find the commission rate we just have to divide the total commission by the total amount of merchandise sold. The commission was $448 and the amount of merchandise sold was $2800.
[tex]\dfrac{448}{2800}=0.16[/tex]
Then, to rewrite a decimal as a percentage, we just need to multiply the number by 100.
[tex]0.16=\dfrac{0.16\times100}{100} =\dfrac{16}{100} =16\%[/tex]
The commission rate is 16%.
Write one-hundred-two-and-eighty-one-hundredths in standard form.
Step-by-step explanation:
One-hundred-two-and-eighty-one-hundredths can be written as 102.81 in standard form.
I WILL MARK BRAINLIEST
Answer: If Ava sells a $365 laptop, then she will make $91.25 in commissions.
Step-by-step explanation: 25% of 365 is 91.25
Selling price=7950and gain =6% what is the cost price
The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.
In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:
Cost price = Selling price / (1 + Gain%)
Substituting the given values, we get:
Cost price = 7950 / (1 + 0.06)
Cost price = 7500
Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.
To know more about cost price:
https://brainly.com/question/23064489
#SPJ4
pls help me with both of them
The year that saw 164 billion dollars being spent on advertising, given the function for the advertising would be c. 1994
The dimensions of the rectangle, given the area of the rectangle would be:
Length : 12. 8 meters Width : 6.9 meters How to find the year ?The function is given by y = 0.93x² + 2.2x + 130, where y is the amount of money spent (in billions of dollars) and x is the number of years since 1990. We need to find the value of x when y = 164.
164 = 0.93x² + 2.2x + 130
0.93x² + 2.2x + 130 - 164 = 0
0.93x² + 2.2x - 34 = 0
x = 2.5
Now, we'll find the year by adding the value of x to 1990:
Year = 1990 + 2.5 = 1992.5
= 1994 which is the closest year in options
How to find the dimensions of the rectangle ?The area of the rectangle is given by:
Area = width × length
91 = (x + 2)(2x + 3)
91 = 2x² + 3x + 4x + 6
91 = 2x² + 7x + 6
2x² + 7x - 85 = 0
When solved differently:
x = 4.9
x = -3.5
Using the positive values:
Width = x + 2 ≈ 4.9 + 2 = 6.9 meters
Length = 2x + 3 ≈ 2(4.9) + 3 ≈ 9.8 + 3 = 12.8 meters
Find out more on rectangles at https://brainly.com/question/28107004
#SPJ1
How can I solve this? ASAP
The surface area of the triangular prism is 544 square inches.
What is a prism?A prism is a three-dimensional structure with two bases that are parallel and congruent and joined by lateral faces, which are a series of parallelograms or rectangles. All of the angles between the lateral faces and the bases are equal, and they are perpendicular to one another. The name of the prism is determined by the shape of the bases, such as triangular bases for a triangular prism, rectangular bases for a rectangular prism, and hexagonal bases for a hexagonal prism.
The surface area of the triangular prism is given by the formula:
SA = bh + (b1 + b2 + b3)l
Here, b = 12, h = 8, b1 = 10 + b2 = 10, b3 = 12 and l = 14.
Substituting the values we have:
SA = (12)(8) + (10 + 10 + 12)(14)
SA = 96 + (32)(14)
SA = 544 square inches.
Hence, the surface area of the triangular prism is 544 square inches.
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ1
BRAINLIEST! HURRY! What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
_ cm³
Answer:
331/2
Step-by-step explanation:
5 1/2= 11/2
3 1/2 = 7/2
11/2x7/2x6=115 1/2 = 331/2
Answer:
115.5 cm^3
Step-by-step explanation:
Volume=LengthxWidthxHeight
The values from the diagram are 3.5, 6, and 5.5
Multiply!
3.5x6x5.5=115.5
PLEASE HELP!!
Write a function that represents the situation: A population of 5 fruit flies increases by 12.5% each day.
P(t) = 5(1 + 0.125)^t
where P(t) is the population of fruit flies after t days.
Help please Hurry
Brenda throws a dart at this square shaped target: Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)
The probability of hitting the black circle is closer to 0 and the probability of hitting the white portion of the target is closer to 1.
What is probability?
Probability refers to the numerical measure of the likelihood or possibility of a specific event taking place. It is a mathematical concept that involves calculating the ratio of the number of desired outcomes to the total number of possible outcomes. Probability ranges from 0 (representing an impossible event) to 1 (representing a certain event), with values in between indicating the degree of likelihood. Probability is widely used in various fields, including mathematics, statistics, science, engineering, finance, and social sciences, to make predictions, analyze data, and make decisions under uncertainty.
Explanation of the given questions :
Part A: The black circle has a radius of 1 unit and its center is the same as that of the square. Therefore, its diameter is 2 units, which is much smaller than the side length of the square, which is 11 units. This means that the area of the circle is much smaller than the area of the square.
Therefore, the probability of hitting the black circle is closer to 0.
Part B: The white portion of the target is the area of the square minus the area of the black circle. The area of the square is [tex]11 x 11 = 121[/tex] square units.
The area of the circle is [tex]\pi \times r^2 = \pi\times 1^2 = \pi[/tex] square units, which is approximately 3.14 square units. Therefore, the area of the white portion of the target is [tex]121 - 3.14 = 117.86[/tex] square units.
Since this is much larger than the area of the black circle, the probability of hitting the white portion of the target is closer to 1.
To know more about probability visit:
brainly.com/question/14016657
#SPJ1
for a school project, 10 students are working on a skit that has 2 different roles. each role can be played by anyone, and no student can play more than one role. how many different casts are possible?
Every student may take on any part, and no student may take on more than one role. Hence, it is feasible to have 45 different casts.
In contrast, there are various techniques to select r things from a set of n objects and arrange these r objects in permutations.
The permutations formula itself states that selection should come first (nCr), followed by arrangement (r).
the given :
10 students are working on a skit,
2 different roles. each role can be played by anyone
n = 10
r = 2
nPr = nCr x r!
nCr = n!/r!(n-r)!
so,
nCr = 10!/2!(10-2)!
nCr = 10x9/2x1
nCr = 45
so, the 45 different casts are possible
To know more about permutations, click the below link
https://brainly.com/question/30649574
#SPJ4
are the following statements true or false? if false, correct the statement. a. the precision of your answer is determined by the largest place of significance when adding and subtracting.
The statement "the precision of your answer is determined by the largest place of significance when adding and subtracting" is False because The precision of your answer is determined by the number of decimal places when adding and subtracting.
For example, if one number is given to the nearest hundredth and the other is given to the nearest tenth, then the result should be given to the nearest tenth. This is because the tenths place is the largest place of significance in this case.
When adding and subtracting, it is important to take into account the precision of each number before adding or subtracting.
If one number is given to the nearest tenth and the other is given to the nearest hundredth, then the result should be given to the nearest hundredth, as the hundredths place is the largest place of significance.
The same applies for any other number of decimal places.
To know more about decimal places click on below link:
https://brainly.com/question/50455#
#SPJ11
if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%). radio button unchecked false radio button unchecked true submit
The given statement "if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%)" is false.
The probability that a sample mean is equal to the population mean is actually zero, since any given sample will differ slightly from the population mean due to sampling error. However, as the sample size increases, the sample mean is likely to be close to the population mean, and the probability of it being equal approaches 1 (i.e., 100%).
To explain further, the population mean is the mean of the entire population and is calculated by adding up all the values of the population and dividing them by the total number of individuals in the population. A sample mean, on the other hand, is the mean of a sample taken from the population and can be calculated by adding up the values of the sample and dividing them by the total number of individuals in the sample. Since the sample size is usually smaller than the population size, the sample mean is likely to be slightly different from the population mean due to sampling error.
For more such questions on Probability.
https://brainly.com/question/30653447#
#SPJ11