In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.
(a): Yes, because there is not much of a trend in the data.
(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.
(c): chose a correct residual plot
In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x
As the number of labor hours increases, the residual values from the regression also tend to increase, suggesting that the labor input is a lurking variable.
To know more about the manufacturer of custom metal blanks:
https://brainly.com/question/13012170
#SPJ4
Which of the following are not the lengths of the sides of a 30°-60°-90° triangle?
A. 1/2, √3/2, 1
B. 5/2, 5√3/2, 10
C. √2, √6,2√2
D. 3,3√3,6
Answer:
C
Step-by-step explanation:
C. √2, √6,2√2 are not the lengths of the sides of a 30°-60°-90° triangle.
In a 30°-60°-90° triangle the ratio of the sides are always the same, the hypotenuse is twice the length of the shorter leg, and the longer leg is √3 times the length of the shorter leg.
A. 1/2, √3/2, 1 are the lengths of the sides of a 30°-60°-90° triangle. As the shorter leg is 1, the longer leg is 1√3=√3 and the hypotenuse is 12=2.
B. 5/2, 5√3/2, 10 are the lengths of the sides of a 30°-60°-90° triangle. As the shorter leg is 5/2, the longer leg is (5/2)*√3=5√3/2 and the hypotenuse is (5/2)*2=5
D. 3,3√3,6 are the lengths of the sides of a 30°-60°-90° triangle. As the shorter leg is 3, the longer leg is 3√3=3√3 and the hypotenuse is 32=6
So, option C is not the lengths of a 30°-60°-90° triangle.
-12y - 16 i dont understand this please explain to me with a good explanation
Answer: -4(3y+4)
Step-by-step explanation:
First I found the Great common divisor (-4) and took that number and divided -12y and -16 with it getting 3y and 4 and then I set it up as if I was trying to get -12y and -16 so the best way to do that is to use the distributive property so I put 3y and 4 in parentheses like this (3y+4) then I added the -4 on to get the answer of -4(3y+4)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-12y - 16}[/tex]
[tex]\large\text{Let us look for the GCF for each of your numbers because it can}\\\large\text{make this equation somewhat easier to solve.}[/tex]
[tex]\mathsf{-12x \rightarrow -1, -2, -3, -4, -6, -12, \ \& \ -x}\\\\\mathsf{-16 \rightarrow -1, -2, -4, -8, \& -16}\\\\\large\text{Thus, your GCF for both of your numbers is: \boxed{- 4 }}\large\checkmark[/tex]
[tex]\large\text{So, let us put }\rm{-4}\large\text{ in front of your parentheses because we had to factor}\\\large\text{out the common like term they shared together.}[/tex]
[tex]\large\text{Now simplify it furthermore}[/tex]
[tex]\huge\text{This leaves your answer as:}[/tex]
[tex]\huge\boxed{\mathsf{-4(3y + 4)}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Find domain and range of the relation: (-2,7), (-2,6), (-2,5), (-2,4).
Then determine whether the relation of a function (yes or no).
The domain and range of the relation are { -2 } and { 4, 5, 6, 7 } respectively. The relation is not a function.
Is the relation a function? What are the domain and range?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the relation in the question;
(-2,7), (-2,6), (-2,5), (-2,4)
For a relation to be a function, every x-value must have only one y-value mapped to it.
-2 appeared twice and its corresponding y-values are different.
Hence, the relation is Not a Function.
The Domains are the x-values and the Range are the y-values,
Domain: { -2 }
Range: { 4, 5, 6, 7 }
Learn more about functions here: brainly.com/question/2541698
#SPJ1
in a survey of 260 college students, the following data were obtained: 64 had taken a mathematics course, 94 had taken a computer science course, 58 had taken a business course, 28 had taken both a mathematics and a business course, 26 had taken both a mathematics and a computer science course, 22 had taken both a computer science and a business course, and 14 had taken all three types of courses.
There were 64 students who had taken a mathematics course. Of those 64, 28 had also taken a business course, and 26 had also taken a computer science course. This leaves 10 students who had taken only a mathematics course.
To calculate this, we start by subtracting the number of students who had taken all three courses (14) from the total number of students who had taken a mathematics course (64).
Then we subtract the number of students who had taken both a mathematics and a business course (28) and the number of students who had taken both a mathematics and a computer science course (26) from the result. This gives us 10 students who had taken only a mathematics course.
To know more about mathematics here
https://brainly.com/question/27235369
#SPJ4
find the distance from to each of the following. (a) the -plane (b) the -plane (c) the -plane (d) the -axis (e) the -axis (f) the -axis
The distance between the xy, yz, and xz planes are 5, 3, and 7.
Multivariable Calculus
This question relates to multivariable calculus.
a) Distance of point (x, y, z) from the XY-plane
The |z co-ordinate of the point| = |z|
distance of the point (3, 7, -5) from xy plane
|-5|=5
b) Distance of point (x, y, z) from yz plane
The |x coordinate of the point| = |x|
Therefore, the distance of the point (3, 7, -5) from yz plane is
|3|=3
c) Distance of point (x, y, z) from xz plane
The |y coordinate of the point| = |y|.
The distance of the point (3, 7 -5) from the xz-plane is
|7|=7
d) Distance of point (x, y, z) from the x-axis
The distance of the points from the x-axis is
[tex]x^{2} =y^{2} +z^{2} \\\\x=\sqrt{y^{2} +z^{2} } \\\\x=\sqrt{7^{2}+(-5)^{2} } \\\\x=\sqrt{74}[/tex]
e) Distance of point (x, y, z) from the y-axis
[tex]y=\sqrt{x^{2} +z^{2} } \\\\y=\sqrt{3^{2}+(-5)^{2} } \\\\y=\sqrt{34}[/tex]
f) Distance of point (x, y, z) from the z-axis
[tex]z=\sqrt{x^{2} +y^{2} } \\\\z=\sqrt{3^{2}+7^{2} } \\\\z=\sqrt{58}[/tex]
From the calculations above,
The distance of (3, 7, -5) from the xy plane = 5The distance of (3, 7, -5) from the yz-plane = 3The distance of (3, 7, -5) from the xz-plane = 7The distance of (3, 7, -5) from the x-axis = √74The distance of (3, 7, -5) from the y-axis = √34The distance of (3, 7, -5) from the z-axis = √58To know more about the distance of a point:
https://brainly.com/question/14407559
#SPJ4
Lz + A= [; ; ;] 13 _ [ ( 2 3 ] c [: ;] 5 . [ '| E [,] Which of the 25 matrix products AA, AB, AC defined? Compute those products that are defined_ ED, EE are
we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
[tex]We\ have \ A=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\B=[1\ 2 \ 3]\\\\C=\left[\begin{array}{ccc}1&1\\1&1&\end{array}\right] \\\\D=\left[\begin{array}{ccc}1\\1\\1\end{array}\right] \\\\E=[3][/tex]
So ,we have to produced 25 matrix -
AA,AB,AC,AD,AE
BA,BB,BC,BD,BE
CA,CB,CC,CD,CE
DA,DB,DC,DD,DE
EA,EB,EC,ED,EE
To multiply two matrix column of first matrix equal to row of second matrix.
So we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
[tex]AA=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\AA=\left[\begin{array}{ccc}-2&-2&-2\\4&1&-2\\10&4&-2\end{array}\right] \\\\AD=\left[\begin{array}{ccc}0\\1\\6\end{array}\right] \\\\CC=\left[\begin{array}{ccc}2&2\\2&2\\\end{array}\right] \\\\EE=[9][/tex]
So we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
The complete question is :-
Let the matrices,
[tex]A=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\B=[1\ 2 \ 3]\\\\C=\left[\begin{array}{ccc}1&1\\1&1&\end{array}\right] \\\\D=\left[\begin{array}{ccc}1\\1\\1\end{array}\right] \\\\E=[3][/tex]
Which of the 25-matrix products AA, AB, AC ......EE are defined? Compute those products that are defined.
Learn more about matrix.
https://brainly.com/question/29132693
#SPJ4
PLEASE HELP...PLEASE
Answer:
(4,8) (0,2) (-6,-7)
Step-by-step explanation:
Perpendicular means it sort of makes a cross with 90º angle from the already existing line. Imagine it starts at (4,8) coordinate and comes falling to the left, passing through p(-4,-4) coordinate, the points it will go through will be (4,8) (0,2) and (-6,-7) respectively.
A sure way to do this is to mark every point that's on the table below and see which ones form a perpendicular line with the original.
An aquarium tank can hold 6300 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 84 minutes. The second pipe can fill the tank in 42 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
It will take 28 minutes for them to fill the tank.
What is work done?Work done is defined as the amount of force needed to move and object a certain distance. In essence, it is a measure of an energy transferred to or from an object which allows it to be moved.
Given that, an aquarium tank can hold 6300 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 84 minutes. The second pipe can fill the tank in 42 minutes by itself.
Work done by first pipe in 1 minute = 1/84
Work done by second pipe in 1 minute = 1/42
The time taken by both the pipes together =
1 / 84 + 1 / 42 = 3 / 84
= 1/28
Therefore, time taken by both the pipe = 28 minutes.
Hence, it will take 28 minutes for them to fill the tank.
Learn more about work done, click;
https://brainly.com/question/13662169
#SPJ1
7.) +9 – +16 = N
8.) +85 – +12 = N
9.) –6 –2 = N
10.) +13 – +12 = N Someone please need it right now
Arithmetic operations on the directed numbers gives;
7) -7
8) +73
9) - 8
10) + 1
What are directed numbers?Any given number which has either a positive or negative sign is a directed number. Thus all numbers are directed in one way or the other. Some examples are: 8, +2, - 8.35, 10, 520 etc.
Performing an arithmetic operations on the given question, we have;
7) +9 - + 16 = +9 -(+16)
applying the rule of signs
+9 - (+16) = + 9 - 16
= -7
8) +85 - + 12 = +85 - (+12)
applying the rule of signs
+85 - (+12) = +85 - 12
= +73
9) -6 - 2
applying the rule of signs
-6 -2 = -8
10) +13 - + 12 = +13 - (+12)
applying the rule of signs
+13 - (+12) = +13 - 12
= +1
Learn more about directed numbers at https://brainly.com/question/29257646
#SPJ1
How do you solve these step by step (circled problems)
To create a dot plot, we have to first choose an appropriate scale for the given number line, and then mark a dot over the given numbers.
What is a dot plot?Data points are represented as dots on a graph with an x- and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualization. These kinds of graphs are employed to visually represent particular data patterns or groups.
To create a dot plot, we have to first choose an appropriate scale for the given number line, and then mark a dot over the given numbers.
For the first question:
Scale on the number line from the first tick, 310 to 335.
For the second question:
Scale on the number line from the first tick, 18 to 31.
Learn more about dot plot here:
https://brainly.com/question/22746300
#SPJ1
Help
A machine that drills holes for wells drilled to a depth of−72 feet in one day (24 hours).
At this rate, how many hours will it take until the drill reaches its final depth of −132 feet?
At the same rate, a machine take 44 hours until the drill reaches its final depth of −132 feet.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
A machine that drills holes for wells drilled to a depth of−72 feet in one day (24 hours).
Now, Let a machine drill holes reaches its final depth of −132 feet in x hours.
Hence, By definition of proportion, we get;
⇒ 72 / 24 = 132 / x
⇒ x = 132 × 24 / 72
⇒ x = 3,168 / 72
⇒ x = 44 hours
Thus, It take 44 hours to reaches its final depth of −132 feet.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ1
Add or subtract. Write in simplest form. 6 1/3 + 1 2/3 + 5 5/9
a car dealer is deciding what kinds of vehicles he should order from the factory. he looks at his sales report for the preceding period. construct a pareto chart to help him decide. choose the vertical scale so that the relative frequencies are represented.
The vertical scales for each type of vehicle are:
Economy, 0.2Sports, 0.5Family, 0.35Luxury, 0.1Truck, 0.3The rationale is to choose a vertical scale that represents the relative frequencies, or the proportion of each type of vehicle sold compared to the total number of vehicles sold. The calculation for each type of vehicle is as follows:
Economy: 30 / 150 = 0.2 Sports: 7.5 / 150 = 0.05Family: 52.5 / 150 = 0.35 Luxury: 15 / 150 = 0.1 Truck: 45 / 150 = 0.3Here, the total number of vehicles sold (150) is calculated by adding up the sales for each type of vehicle. The relative frequency for each type of vehicle is then calculated by dividing the sales for that type of vehicle by the total number of vehicles sold.
This question should be provided as:
A car dealer is deciding what kind of vehicles he should order from the factory. he looks at his sales report for the preceding period. choose the vertical scale so that the relative frequencies are represented:
Vehicle : economy, sports, family, luxury, truck.Sales : 30, 7.5, 52.5, 15, 45.Learn more about vertical axes here: brainly.com/question/11485924
#SPJ4
Find all possible 2×2
matrices A that for any 2×2 matrix B, AB = BA.
Hint: AB = BA must hold for all B. Try matrices B that have lots of zero entries.
Answer:
Step-by-step explanation:
Consider the following four matrices:
(1000),(0010),(0100),(0001).
See what happens when you solve the equation AB=BA
for each of those four (let B
be each one of those four). To facilitate it, write A=(acbd)
You will get a set of equations for the entries of a
which are easily solved. This trick is quite general.
12
Solve for x.
9
X+4
2x
will give brainliest
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
What is the quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, that can be written in the form of ax^2 + bx + c = 0 where x is the variable, a,b,c are constant and a is not equal to zero.
To solve for x in the equation 9/(x+4) = 2x, we can first clear the fractions by multiplying both sides of the equation by (x+4). This gives us:
9 = 2x*(x+4)
Then we can simplify the right side of the equation:
9 = 2x^2 + 8x
Next, we can move all the x terms to one side of the equation and all the constants to the other side:
2x^2 + 8x - 9 = 0
Now we can use the quadratic formula to solve for x:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 8, and c = -9
So we have:
x = (-8 +/- sqrt(8^2 - 42-9)) / 2*2
x = (-8 +/- sqrt(64 + 72)) / 4
x = (-8 +/- sqrt(136)) / 4
x = (-8 +/- 4*sqrt(17)) / 4
x = (-2 +/- sqrt(17))
So the solutions for x are x = -2 + sqrt(17) and x = -2 - sqrt(17)
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
To learn more about quadratic equation, Visit
https://brainly.com/question/1214333
#SPJ1
The figure below is a square find the length of size x in simplest radical form with a rational denominator
x² + x² = 4
2x² = 4
x² = 2
x=√2
hope it helps
in four football games, antoine carried the ball for 98, 146, 84, and 105 yards. how many total yards did antoine have for the four games?
Answer: she had 433 yards
Step-by-step explanation:
It is said that one of the keys to becoming money savvy is to learn how to separate "needs" from "wants". Please explain why this is true. (EXTRA POINTS UR OWN WORDS!!!!!
Answer:
absolutely
Step-by-step explanation:
Needs are for survival in life like food, rent or mortgage, utilities, and other expenses. Transportation costs, insurance coverage, and any clothing and tools you need for work are included in this part of your budget. A want includes expenses that you can comfortably live without and is not essential for survival.
Lana picked the number of apples somebody illustration out of these apples 2/3 are green apples how many apples are green
Noah had 151 stamps. He had has 42 more stamps than Jonas. How many stamps did Jonas have? How many stamps must Noah give to Jonas so that they each have the same number of stamps?
=109
No. of stamps that Noah should give to Jona to get equal no. of stamps = 151 -31=130 and 109+31=130 So now they get an equal share.this week lee got a promotion at work that came with a 5% pay increase. if now his monthly salary is 1732.5, how much was he making before the raise
Answer:
1650
Step-by-step explanation:
1732.5 / (1+5%) = 1732.5 / 1.05 = 1650
Assume that the duration of human pregnancies can be described by a Normal model with mean 265 days and standard deviation 17 days.
a) What percentage of pregnancies should last between 269 and 282 days?
b) At least how many days should the longest 10% of all pregnancies last?
c) Suppose a certain obstetrician is currently providing prenatal care to 67 pregnant patients. Let y represent the mean length of their pregnancies. According to the
Central Limit Theorem, what is the distribution of this sample mean, y? Specify the model, mean, and standard deviation.
d) What's the probability that the mean duration of these patients' pregnancies will be less than 258 days?
a) The percentage of pregnancies should last between 269 and 282 days is 18%
b) The days should the longest 10% of all pregnancies last is 291 days.
c) According to the Central Limit Theorem, the distribution of this sample mean is 265. The model is a Normal model, and standard deviation is 17/(√(67)).
d) The probability that the mean duration of these patients' pregnancies will be less than 258 days is 0.03 or 3%
How do we determine the values?a) To find the percentage of pregnancies that should last between 269 and 282 days, we need to find the proportion of the area under the normal distribution curve that falls between those two values. This can be done using a standard normal table or calculator. Using a calculator, we find that the proportion of the area under the curve between 269 and 282 days is approximately 0.18 (or 18%).
b) To find the longest 10% of all pregnancies, we need to find the duration that corresponds to the 90th percentile. We can use the standard normal table or calculator to find that the duration that corresponds to the 90th percentile is approximately 291 days.
c) According to the Central Limit Theorem, the distribution of the sample mean, y, is a normal distribution with a mean of 265 days (the population mean) and a standard deviation of 17/(√(67)) days. So the model is a Normal model with mean 265 and standard deviation 17/(√(67))
d) To find the probability that the mean duration of these patients' pregnancies will be less than 258 days, we need to find the proportion of the area under the normal distribution curve that falls to the left of 258 days. Using a calculator, we can find that the proportion of the area under the curve to the left of 258 days is approximately 0.03 (or 3%).
Therefore, the correct answers are as given above
learn more about central limit theorem: https://brainly.com/question/17092136
#SPJ1
Yushio is borrowing $3,525 from Houghtonville National Bank for 2 years at 12.6%
simple interest. How much will he need to repay the loan?
Answer:
3000
Step-by-step explanation:
Answer:
Answer:
$1,392
Step-by-step explanation:
1,200(0.08)(2) = 192
1,200 + 192 = $1,392
Step-by-step explanation:
3 > y-2 graph the solution
Answer:
12345678901234567890
peter's international barbershop is a popular haircutting and styling saloon near the campus of the brooklyn college. one barber is available to work full time and spend an average of 4 minutes on each customer. customers arrive all day long at an average rate of 5 minutes arrivals tend to follow the poisson distribution, and service times are exponentially distributed. explain your results. [5 points]
If we assume that the average rate of arrivals is 5 minutes, then this means that the Poisson distribution will have a mean of 5 customers/minutesThis means that the probability that a customer arrives in the next minute is 0.2 (1/5).
The exponential distribution will have a mean of 4 minutes, meaning that the probability that the customer is served in the next minute is 0.25 (1/4).
Therefore, the expected number of customers that the barber can serve in an hour is 15 (5*4). The expected number of customers served in a given minute is 0.2 (1/5) * 0.25 (1/4) = 0.05. This means that the barber can expect to serve an average of 3 customers per hour.
To know more about average rate here
https://brainly.com/question/12395856
#SPJ4
29. Candice and Leila arrived at a birthday party at 5:20 p.m. The party lasted for 3 hours. They then took 20 minutes to arrive home. What time did they arrive home?
solve the equation: x2+7x=0
Answer: X=
Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get
and
as your answers, then enter 4,-2/3 in the box.
The solution to the given equation x² + 7x = 0 is x = 0, -7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given in the question, as follows:
x² + 7x = 0
We have to determine the solution to the given equation.
As per the question, we have
x² + 7x = 0
x(x + 7) = 0
Equating factors to zero, we get
x = 0 and (x + 7) = 0
x = 0 and x = -7
Thus, the solution to the given equation is x = 0, -7.
Learn more about the quadratic function here:
brainly.com/question/14083225
#SPJ1
A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be​consistent? Illustrate your answer with a specific system of three equations in two unknowns.​ chosse from the below option.
a)Yes, overdetermined systems can be consistent. For​ example, the system of equations below is consistent because it has the solution
Answer: (Type an ordered​ pair here _____)
x1=2, x2=4, x1+x2=6
(A). Yes, overdetermined systems can be consistent.
As, the system of equations below is consistent because it has a solution
x1 = 2 , x2 = 4 , x1 + x2 = 6.
We have,
'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.
If we have m equations and n variables where m>n (more equations than variables), then system can be consistent if last m−n equations are linear combinations of previous ones.
For e.g. Let us consider the system,
x + y = 1
x - y = 1
3x + y = 3
solving these equations, we can see
The only intersection point is (1,0). Thus, x= 1 and y= 0 is the solution of this system.
Thus, over-determined system can be consistent.
According to the options,
Hence, option A is correct.
Learn more about overdetermined systems here :
https://brainly.com/question/13161359
#SPJ4
Help me pls!!!!!!!! I NEED HELPPP
non-decreasing function over r is continuous at any point except on a countable set using g delta set
A discontinuity the left and right limits still need to exist but are different.
Since bounded, growing sequences of numbers have limits, a non-decreasing function can only have leap discontinuities, which means that at
Every leap indicates that one interval is missing from the function's range, and these intervals are all disconnected (since the function is non-decreasing, the skipped intervals march up the y-axis).
Since there are only a finite number of discontinuous intervals, there can only be a finite number of discontinuity sites (to see this last bit, just pick a rational number in each interval).
Know more about discontinuity
https://brainly.com/question/9837678
#SPJ4