True Matrix organizations have a flexible structure that brings together specialists from different Areas.
Teams in a matrix organization report to several leaders inside the business. The matrix structure promotes open communication between teams and can assist businesses in producing more creative goods and services. By using this framework, teams are spared the hassle of constantly realigning themselves for new projects.
How can teams be empowered to work fast on challenging projects without being slowed down by reviews and approvals from stakeholders? The solution might lie in organizational structure. Most workplaces have established hierarchies of command so that everyone is aware of who has the final say.
There are two or more management reporting structures in matrix organizations. Team members often have a principal manager for their department, despite the fact that this may at first seem unclear.
Comparable to a traditional organizational structure is reporting to a department manager. For instance, team members in the IT department answer to the head of the department. The vice president of their division is responsible for overseeing the IT department. All reporting lines ultimately lead to the CEO.
In contrast, team members in a matrix organization also report to project managers. It is appropriate to choose a separate manager for each project because tasks associated with them frequently require assistance from employees from different areas, such as IT, marketing, and finance.
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A local theatre sells out for their show. They sell all 500 tickets for a total purse of $7,890.00. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?
Answer:the answer is 8070
Step-by-step explanation:
because it is
What is the probability of the spinner landing on a red?; What is the probability of the spinner landing on a 6?; What is the probability of the spinner landing on an odd number or a number between 4 and 15?; What is the probability of the spinner landing on A or E?
Answer:One fourth
Step-by-step explanation:
In Experiment 1 the probability of each outcome is always the same. The probability of landing on each color of the spinner is always one fourth.
Answer:
Step-by-step explanation:
25 PTS Professor Ivy’s students have a Mean grade of 69.5 and a Standard Deviation of 6.5.
If Johnny has an 82 in the class, what would the z-score for Johnny’s grade be? (round to the tenths place)
What percentile does Johnny’s score put him in? (round to the nearest whole number)
The z-score for Johnny’s grade is 1.92.
Johny's score falls into the 97.28 percentile
What is a normal distribution?
The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical representation of data around its mean value. It is represented graphically as the "bell curve."
Here, we have
mean = 69.5, std. deviation = 6.5 , x = 82
A. By normal distribution formula,
z = ( x - mean) / std. deviation
z = (82 - 69.5) / 6.5
= 1.92
Hence, the z-score for Johnny’s grade is 1.92.
B. P(z<1.92) = 0.9728
Hence, Johny's score fall into 97.28 percentile.
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Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises 11-14.
By combining the methods of row reduction and cofactor expansion the determinant of the given matrix is 1 .
In the question ,
it is given that ,
the matrix is [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex]
we need to compute the determinant using the row reduction that means using the row values [0 4 1 ] to find the determinant .
using the row [0 4 1] , the signs on the values on the first row will be +0, -4 and +1
the by applying the cofactor expansion , determinant will be equal to
= 0 -4[5×1 - 0] + 1[5×3 + 3×2]
= -4(5) + (15 + 6)
= -20 + 21
= 1
Therefore , the determinant is 1 .
The given question is incomplete , the complete question is
Combine the methods of row reduction and cofactor expansion to compute the determinant of the matrix [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex] .
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A panda bear at the zoo weighs 162 pounds. A polar bear weighs 6 times as much as the panda bear weighs.
Find the 10% trimmed mean of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
MLB Batting Averages 0.278 0.285 0.299 0.304 0.306 0.306 0.306 0.308 0.309 0.310 0.313 0.313 0.315 0.317 0.317 0.318 0.322 0.322 0.324 0.326
10% trimmed mean of the given data is xbar20 = 0.3269
In between the mean and the median, the trimmed means have some of the advantages of both without some of the disadvantages.
The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%, etc.
The 10% trimmed means omits 0.278 and 0.326 and yields
xbar10 = 0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 20
= 5.885 / 20
= 0.29
xbar = 1.29 and xbar = 1
Trimmed means are examples of robust statistics (resistant to gross error).
The 20% trimmed mean excludes the 2 smallest and 2 largest values in the sample above, and
xbar20 = 0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 18
xbar20 = 0.3269
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what fraction is equivalent to 3/4; what fraction is equivalent to 1/3; what fraction is equivalent to 2/3; what fraction is equivalent to 2/5; what fraction is equivalent to 1/4; what fraction is equivalent to 2/6; equivalent fractions; what fraction is equivalent to 2/4
6/8 is an equivalent fraction to 3/4; 2/6 is equivalent to 1/3; 6/9 is equivalent to 2/3; 10/25 is equivalent to 2/5; 4/16 is equivalent to 1/4; the fraction of 1/3 is equivalent to 2/6; 8/16 is an equivalent fraction to 2/4.
A fraction can be referred to or considered as a divisional representation of a whole number or a percentage, usually represented as a bigger numerical. A fraction denotes the representation of a number in such a way that the meaning or the accuracy of the number is not disturbed, but is shown differently. The fractions equivalent to each other have been mentioned above.
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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 1 + (y â 4)2, x = 2
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis.
y = x3, y = 8, x = 0; about x = 7
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis.
y = 6x â x2, y = 5; about x = 1
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the graphs of the given equations about the x-axis.
y = x3â2, y = 8, x = 0
The volume of the solid obtained by rotating the region bounded by the given curves about the X-axis is 340978 vu.
Given curve is,
y = [tex]x^{3}[/tex] , y = 8, x = 0 about x = 7
we know the formula for cylindrical shell is
V = πR²h
where R² = f(x)₂-f(x)₁ ,
h = dx
here f(x)₂ = 8 and f(x)₁ = x³
⇒ V = π(8 - x³)²h
V = π(64 - 16x³+x⁶)dx
integrating on both sides,
[tex]\int dV[/tex] =π [tex]\int ({64 - 16 x^{2} + x^{6} }) \, dx[/tex]
= [tex]64 \int dx - 16 \int {x^{3} } \, dx + \int\ {x^{6} } \, dx[/tex]
V = π(64x - 4x⁴+[tex]\frac{x^{7} }{7}[/tex])
V = π(64 × 7 - 4(7)⁴ + [tex]\frac{7^{7} }{7}[/tex])
= π(448 - 9604 + 117649 )
= [tex]\frac{22}{7}[/tex](108493)
V = 340978 vu
Therefore volume of the cylindrical shells to the region y = x³, y = 8, x = 0 about x = 7 is 340978 vu.
Cylindrical shells are essential structural elements in offshore structures, submarines, and airspace crafts. They are often subjected to combined compressive stress and external pressure, and therefore must be designed to meet strength requirements.
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0.800 divided by 10
Please help meeee
Answer:
.0800
Step-by-step explanation:
Dividing by ten will just move the decimal point one position further to the left
For y=|x|, explain why the range of the graph is not all real numbers.
The range is the set of all possible y-values that could come from the equation y = |x|.
Since the absolute value only results in 0 or positive numbers, the range cannot include any negative real numbers.
|3| = 3
|0| = 0
|-3| = 3
Therefore the range is not all real numbers, since all negative real numbers are excluded from the range.
The range is y ≥ 0.
Which absolute value equation represents the graph?
Answer:
............................
Answer:
Step-by-step explanation:
PLEASE HELP ASAP
Let m, n, p, and q represent distinct positive numbers. If the equation below is true, which variable represents the greatest number?
1/2m = 1/3n = 1/4p = 1/5q
A. m
B. n
C. p
D. q
E. This cannot be determined with the given information.
The equation illustrates that the variable that represents the greatest number is E. This cannot be determined with the given information.
Which variable represents the greatest number?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
From the information, the variable is given as 1/2m = 1/3n = 1/4p = 1/5q.
It should be noted that the greatest variable cannot be determined based on the information. In conclusion, the correct option is E.
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Question 10(Multiple Choice Worth 5 points)
(Proportional Relationships LC)
Does the graph represent a proportional relationship?
graph with a line from 0 comma 0 and going through 25 comma 8
No, it is not proportional because the line does not go through (0, 0).
No, it is not proportional because the graph is curved.
Yes, it is proportional because it is a line that goes through (0, 0).
Yes, it is proportional because the x-axis and y-axis are numbered correctly.
Since the graph has a line from 0 comma 0 and going through 25 comma 8, C. Yes, it is proportional because it is a line that goes through (0, 0).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it starts from the origin (0, 0) and as such, it is proportional.
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Give the equation of the circle centered at the origin and passing through the point (-11, 0)
Answer:
Step-by-step explanation:
Since we know the general circle equation is in the form
x^2 + y^2 = r^2, where r is radius
Now we are given the information that circle has the origin (0,0) and pass through point (-11,0), which mean the radius is 11 units.
Now we can write the circle equation as
x^2 + y^2 = 11^2
Answer:
the equation for the circle is:
X² +Y² = 11² = 121
4 time the sum of 8 and 1 is divided by six. Make expression and simplity.
Answer:
[tex]\frac{4(8-1)}{6}[/tex]
6
Step-by-step explanation:
[tex]\frac{4(8 + 1) }{6}[/tex]
[tex]\frac{4(9)}{6}[/tex]
[tex]\frac{36}{6}[/tex]
6
Answer:
The expression is:
4(8+1)/6
Simplify:
= 6
Step-by-step explanation:
The expression is:
4(8+1)/6
Simplify:
= 4(9) / 6
= 36/6
= 6
Researchers randomly selected 1700 people from Canada who had never suffered a heart attack and rated the happiness of each person. Ten years later, the researchers followed up with each person and found that people who were initially rated as happy were less likely to have a heart problem. Which of the following is the most appropriate conclusion based on this study?
Happier people in the study were less likely to have heart problems.
The correct answer is People in Canada who are happier are less likely to suffer cardiac problems.
We have been given four options from which we have to select the correct one.
a. Happiness causes better heart health for all people.
b. Happiness causes better heart health for Canadians.
c. Happiness causes better heart health for the people in the study.
d. Happier people in Canada are less likely to have heart problems.
e. Happier people in the study were less likely to have heart problems.
The researchers followed up with each person 10 times later and discovered that those who had been deemed pleased at the start were no longer so. People in Canada who are happier are less likely to suffer cardiac problems.
Therefore, the conclusion is people in Canada who are happier are less likely to suffer cardiac problems.
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A couple just had a baby. How much should they invest now at 5.5% compounded weekly in order
to have $40,000 for the child’s education 17 years from now? Compute the answer to the nearest
dollar. (Assume there are 52 weeks in a year.)
Answer:
To find the amount that the couple needs to invest now, we can use the following formula:
investment = education cost * (1 + interest rate / number of compounding periods per year) ^ (number of years * number of compounding periods per year)
Plugging in the given values, we get:
investment = $40,000 * (1 + 0.055 / 52) ^ (17 * 52)
Solving this equation, we find that the couple needs to invest $11,226.31 now to have $40,000 for the child's education in 17 years. Rounded to the nearest dollar, this is $11,226.
Step-by-step explanation:
as the cubes increased in size, describe what happened to the surface area to volume ratio. explain mathematically why this happened in terms of the formula for each.
As the cube size increases, the surface -area - to - volume ratio decreases .
Given :
as the cubes increased in size, describe what happened to the surface area to volume ratio, mathematically why this happened in terms of the formula for each.
Volume :
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Volume of cube = a^3
Surface area :
Surface area is the amount of space covering the outside of a three - dimensional shape.
Surface area of cube = 6a^2
suppose side length = 1
1^3 : 6 * 1^2
= 6 * 1 : 1
= 6 : 1
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general: what is represented on the x and y axis in this graph? what does the black observed line represent in each graph?
The given question is incomplete as the graph is missing.
But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:
X-Axis Y-Axis
Year Population
Time Number of employees hired
Identical items purchased Total cost in dollars
What does the blank observed line represent in each graph?
The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The coordinates of point B are (4, 0)
How to determine the coordinates of point B?From the question, we have the following parameters that can be used in our computation:
A = (6, 10)
Midpoint = (5, 5)
The midpoint of a line from its endpoints is calculated using the following equation
Midpoint = (x₂ + x₁)/2 + (y₂ + y₁)/2
Substitute the known values in the above equation, so, we have the following representation
(5, 5) = (6 + x₁)/2 + (10 + y₁)/2
Multiply by 2
(10, 10) = (6 + x₁) + (10 + y₁)
By comparison, we have
x + 6 = 10
y + 10 = 10
Evaluate
x = 4
y - 0
Hence, the point is (4, 0)
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Simplify: (-6 + 10) + [ 14+ ( -7 ) ]+ (-10)
Answer:
1
Step-by-step explanation:
Bc I have calculator
The sum of two numbers is 21. Trice the larger number minus twice the smaller number is 18. find the numbers
Answer:
15, 6
Step-by-step explanation:
x = large number
y = small number
1) x + y = 21
2) x = 21 - y
3) 2x - 2y = 18
substitute equation 2 into equation 3 so you have an expression all in terms of y, then you can solve for y.
2(21-y) - 2y = 18
42 - 2y - 2y = 18
-4y = -24
y = -24/-4 = 6
Now you can solve for x, plug y=6 into equation 1 :
x + 6 = 21
x = 21 - 6 = 15
If F1 + F2 = 100 and F1 - F2 = 20 then how F1 = 60 ?? I need the solution
To find the value of F1, we can start by writing out the given equations in a more standard form.
First, we can rewrite the equation "F1 + F2 = 100" as "F1 = 100 - F2".
Then, we can rewrite the equation "F1 - F2 = 20" as "F1 = 20 + F2".
If we set these two equations equal to each other, we get "100 - F2 = 20 + F2".
If we simplify this equation, we get "80 = 2 * F2".
If we divide both sides of the equation by 2, we get "40 = F2".
Substituting this value back into either of the original equations, we can find that "F1 = 100 - F2" or "F1 = 100 - 40" which gives us "F1 = 60".
Therefore, the value of F1 is 60.
A rectangular paperboard measuring 20 in long and 12 in wide has a semicircle cut out of it, as shown below. Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer
The area of the remaining paperboard is 246.91 in²
How to we calculate cut out area?A shape can be cut-out of another shape. For example a circle cut off a rectangle. The area of the remaining part of the shape can be calculated as area of original shape - area of cut-out shape
The area of a rectangle = l×w
= 20×21 = 420in²
a semi circle is the shape cut-out, therefore the area of the semi circle= ½πr²
= ½×3.14× 10.5²= 173.09in²
Therefore the area of the remaining part of the paperboard is 420-173.09= 246.91 in²
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Suppose Y is a dichotomous dependent variable, and the data-generating process for Y can be expressed as: Yi=0.1+0.03X1i−0.02X2i+Ui, Interpret the coefficients on X1 and X2
The coefficient of x1 = 0.03 and the coefficient of x2 = - 0.02.
The coefficient of x1 is positive we can say there is a positive relationship between x1 and y as the x1 value increases, the y value also increases
If the x1 value increases as 1 unit then the y value increases as 0.03 unit while x2 keeps constant.
The coefficient of x2 is negative we can say there is a negative relationship between x2 and y as the x2 value increases y value decreases.
If the x2 value increases as 1 unit then the y value decreases as 0.02 unit while x1 keeps constant.
A dichotomous variable is one that takes on one of just two potential qualities when noticed or estimated. The worth is most frequently a portrayal of a deliberate variable (e.g., mature: under 65/65 and over) or a quality (e.g., orientation: male/female).
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Assume that you want to test the claim that the paired sample data come from population for which the mean difference is Kd = 0. Compute the value of the test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. Subject Before 168 180 157 132 202 124 190 210 171 After 162 178 145 125 171 126 180 195 163 0 A 0.351 .052 3.156 9.468
The test statistic value for the given sample data with population mean difference is equal to optic C. 3.156.
As given in the question,
Given population mean difference μd = 0
sample size 'n' = 9
Sample data is:
x y [tex]d_{i}[/tex] ( x - y) [tex]( d_{i} - \bar{d} )^{2}[/tex]
168 162 6 15.21
180 178 2 62.41
157 145 12 4.41
132 125 7 8.41
202 171 31 445.21
124 126 -2 141.61
190 180 10 0.01
210 195 15 26.01
171 163 8 3.61
∑[tex]d_{i}[/tex] = 89 ∑ [tex]( d_{i} - \bar{d} )^{2}[/tex] = 706.89
[tex]\bar{d}[/tex] = ( 1/ n ) ∑[tex]d_{i}[/tex]
= (1/9) (89)
= 9.889
= 9.9
Standard deviation of the mean difference '[tex]S_{d}[/tex]'
= √[1 / (n - 1)]( ∑ [tex]( d_{i} - \bar{d} )^{2}[/tex] )
= √706.89/ 8
=√88.361
= 9.4
test statistic
t = ( [tex]\bar{d}[/tex] - μd)/ ( [tex]s_{d} /\sqrt{n}[/tex] )
= ( 9.9 - 0) / ( 9.4 / √9)
= 9.9/ 3.133
= 3.156
Therefore, the test statistic value for the given sample data is equal to option C. 3.156
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13. So far, two-thirds of the seniors bought prom
tickets. If they need a minimum of 250 people
to attend in order to keep the venue, how
many students must be in the senior class to
ensure they sold enough tickets? Please write out the equation
Answer:
[tex]\dfrac{2}{3}x \geq 250[/tex]
Step-by-step explanation:
Let x be the number of students in the senior class.
If two-thirds of the seniors bought prom tickets and a minimum number of 250 tickets needs to be sold, the inequality that models this scenario is:
[tex]\boxed{\dfrac{2}{3}x \geq 250}[/tex]
Solving the inequality:
[tex]\implies \dfrac{2}{3}x \geq 250[/tex]
[tex]\implies 2x \geq 250 \cdot 3[/tex]
[tex]\implies 2x \geq 750[/tex]
[tex]\implies x \geq 750 \div 2[/tex]
[tex]\implies x \geq 375[/tex]
Therefore, there must be at least 375 students in the senior class to ensure they sold enough tickets to keep the venue.
alpha can produce either 18 oranges or 9 apples an hour, while beta can produce either 16 oranges or 4 apples an hour. which of the following statements is true?
If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement
Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.
The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.
According to the stated information,
Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.
so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade
Hence, option C is true
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How to multiple fractions with different denominators?
Please explain step by step to get picked brainliest!!
To multiply fractions with multiple denominators, you have to change the fraction to get the same denominator.
For example, if you have 1/3 * 1/2, you will have to find the least common multiple of 3 and 2, which is 6. Then, multiply the numerator by the same number that you multiplied the denominator to get 6.
1/3 * 1/2
LCM = 6
[tex]\frac{1*2}{3*2} *\frac{1*3}{2*3} =\frac{2}{6} *\frac{3}{6}[/tex]
Then, multiply across the numerator
[tex]\frac{2}{3}*\frac{3}{6} =\frac{6}{6}=1[/tex]
4. Carla has already written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. a. Write an equation to find the total number of pages P written after any number of months m. b. Graph the equation on the grid b 10 + 15 X = P. c. Find the total number of pages written after 5 months. b. Pages Written a. P 100 80 60 40 20 Carla's Novel 0 1 2 3 4 5 Months C. 6 m
a. The equation is, P = 15m + 10
b. The graph of P = 15m + 10 can be seen in the image attached below.
c. The total number of pages written in 5 months, is, 85.
How to Write a Linear Equation?A linear equation is a straight line graph, which can be expressed in slope-intercept form as y = kx + b, where;
k is the unit rate or slope of the graph.b is the initial value or y-intercept of the graph.a. To write the equation for the total number of pages P written after any number of months m, we have the following defined variables:
Unit rate or slope (k) = 15
Initial value or y-intercept (b) = 10
Number of pages, y = P
Number of months, m = x.
Substitute k = 15 and b = 10 into P = km + b:
P = 15m + 10
b. The graph of the P = 15m + 10 is shown below.
c. Substitute m = 5 into the equation, P = 15m + 10:
P = 15(5) + 10
P = 85
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