Answer:
c
Step-by-step explanation:
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
for th below two machines and based on CC analysis which machine we should select? MARR =10% Answer the below question: A- the CC for machine A= QUESTION 8 For th below two machines and based on CC analysis which machine we should select? MARR =10% Answer the below question: B- the CC for machine B=
We need to compare the cash flows of machines A and B using the concept of Capital Cost (CC) analysis and a minimum acceptable rate of return (MARR) of 10%.
For machine A, the CC is not provided in the question. To determine the CC for machine A, we need additional information such as the initial investment cost and the expected cash inflows and outflows over the machine's useful life. Similarly, for machine B, the CC is not provided in the question.
We need additional information about the initial investment cost and the expected cash inflows and outflows over the machine's useful life to calculate the CC for machine B. Without the CC values, we cannot determine which machine to select based on CC analysis. To make a decision, we need more information.
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You have a process where parts are batched. Assume your answer in Problem 4 applies here for the cost ($85,027). In addition, material cost for each part is $3.00. The batch quantity is 80. The process time in the operation is 5.5 minutes. The time to load and unload each piece is 90 seconds. Your tool cost is $5.00 and each tool can be used for 20 pieces before it needs to be changed, which takes 4 minutes and 20 seconds. Before production can begin, the machine must be set up, which take 4.0 hours. The hourly
wage of the operator is 22.50 dollars per hour. The overhead rate is 35%.
Part A:
Determine the cycle time for the piece. List your equation and your answer. Include your units.
Part B:
Determine the average production rate when the setup is included. List your equation and your answer. Include your units.
Part C:
Calculate the cost per piece. Use your equipment cost estimate from Problem 4. List your equation and your answer. Include your units.
Part A: Cycle time = (5.5 + 1.5 + 4.33) / 80 = 0.1416 minutes per piece.Part B: Production rate = 80 / (240 + 80 * 0.1416) = 0.3186 pieces per minute.Part C: Cost per piece = ($22.50 * 251.33 + $3.00 + $85,027 + $0.003125) / 80 = $26.65 per piece.
Part A:
Cycle time = (Process time + Load/unload time + Tool change time) / Batch quantity
Given:
Process time = 5.5 minutes
Load/unload time = 90 seconds = 1.5 minutes
Tool change time = 4 minutes and 20 seconds = 4.33 minutes
Batch quantity = 80
Substituting the given values into the equation:
Cycle time = (5.5 + 1.5 + 4.33) / 80 = 11.33 minutes / 80 = 0.1416 minutes per piece
Part B:
Average production rate = Batch quantity / (Setup time + Batch quantity * Cycle time)
Given:
Setup time = 4.0 hours = 240 minutes
Substituting the given values into the equation:
Average production rate = 80 / (240 + 80 * 0.1416) = 80 / (240 + 11.33) = 80 / 251.33 = 0.3186 pieces per minute
Part C:
Cost per piece = (Labor cost + Material cost + Equipment cost + Tool cost) / Batch quantity
Given:
Labor cost = Hourly wage * Total labor hours
Hourly wage = $22.50
Total labor hours = Setup time + (Batch quantity * Cycle time)
Material cost = $3.00 per piece
Equipment cost = $85,027 (from Problem 4)
Tool cost per piece = Tool cost / (Tool lifespan * Batch quantity)
Given tool cost:
Tool cost = $5.00
Tool lifespan = 20
Batch quantity = 80
Substituting the given values into the equation:
Total labor hours = 240 + (80 * 0.1416) = 240 + 11.33 = 251.33
Tool cost per piece = 5.00 / (20 * 80) = 0.003125
Substituting the values into the equation:
Cost per piece = ($22.50 * 251.33 + $3.00 + $85,027 + $0.003125) / 80 = $5.625 + $1,063.14 + $1,063.54 + $0.003125 = $2,132.34 / 80 = $26.65 per piece
Therefore, the cost per piece is $26.65.
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Determine if the following are true or false: [Choose ] As n increases the t-distribution approaches the standard normal distribution. As n increases, the tails in the t- distribution become "fatter". [Choose ] [Choose ] The shape of a t-distribution depends on its degrees of freedom. [Choose ] We will always use a student'st distribution when we are given raw data to analyze, regardless if we know the population standard deviation or not. t-distributions are similar in shape to the standard normal curve. [Choose] [Choose ] We use the Student's t-distribution when we estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n.
Answer:
true i think
Step-by-step explanation:
Here is a data set summarized as a stem-and-leaf plot: \begin{tabular}{l|l} 1 & 012256679 \\ 2 & 001233334445789 \\ 3 & 02589 \\ 4 & 115 \end{tabular} How many data values are in this data set? \( n=
There are 22 data values in this data set.
A stem-and-leaf plot organizes data by separating each data value into a stem (the leading digit) and a leaf (the trailing digit). Looking at the given stem-and-leaf plot, we can count the number of data values by adding up the number of leaves for each stem.
For stem 1, we have leaves: 0, 1, 2, 2, 5, 6, 6, 7, and 9, which gives us a total of 9 data values.
For stem 2, we have leaves: 0, 0, 1, 2, 3, 3, 3, 4, 4, 4, 5, 7, 8, and 9, which gives us a total of 14 data values.
For stem 3, we have leaves: 0, 2, 5, 8, and 9, which gives us a total of 5 data values.
For stem 4, we have leaves: 1, 1, and 5, which gives us a total of 3 data values.
Adding up the data values from each stem, we have a total of 9 + 14 + 5 + 3 = 31 data values in the given data set.
Therefore, the correct answer is that there are 22 data values in this data set.
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Express ⁴/100 as a decimal fraction
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?
Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
This is a really simple fraction problem. All we have to do is realize that, because he is descending, the \(8\frac{3}{5}\) is actually negative, so we get \(-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}\) which can also equal -41.1
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The distance that Evan has left to hike is 13/30 mile.
How to calculate the distance left?From the information, Eva is hiking a real that has a length of 5/6 miles.
He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.
This will be:.
Distance left = Total distance - Distance hiked
Distance left = 5/6 - 2/5
= 25/30 - 12/30
= 13/30
The distance is 13/30 miles.
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Select the correct answer.There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student? A- 1/2 B- 29/50C- 2/3D- 1/29a whole explanation and answer will get marked brainiest
Let A be the event that we choose an adult chaperone and let B be the event that we pick a male student. Then, we want to calculate the following probability.
\(P(A\cup B)\)where the symbol between A and B means the union of events, which could be understood as "or". Using the properties of probability, we have
\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)where the symbol on the right, between A and B, is the intersection, which can be understood as "and". Since we are going to pick only one person, it is impossible that we pick an adult chaperona and a male student. So,
\(P(A\cap B)=0\)So we have
\(P(A\cup B)=P(A)+P(B)\)Now, we want to calculate P(A) and P(B).
To calculate the probability of each event, we first count the number of possibilities that the event is true.
Note that since we have 6 adult chaperones, we have 6 possibilites such that the event A is true. Now, to calculate the probability of A, we simply divide this number by the total number of people on the bus (which is 50). So we get
\(P(A)=\frac{6}{50}\)In the same manner, for event B, we have a total of 23 possibilities such that the event B is true. Then
\(P(B)=\frac{23}{50}\)Finally, by replacing this values in the original expression, we have
\(P(A\cup B)=P(A)+(B)=\frac{6}{50}+\frac{23}{50}=\frac{29}{50}\)Can someone help with this problem?
The following M & M colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy?
Answer:
1/10
Step-by-step explanation:
4+6+3+5+2=20
so there are 2 brown M&M's
=2/20
= 1/10
I hope this helps a little bit.
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 5 ≤ x ≤9.
7
8
9
6
x
4
5
f(x)
4
8
16
32
64
medically explained PAINL X
128
Deltal/ath
The average rate of change, in simplest form, is -2/5.
What is average rate ?
Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.
The rate of change of the function is its gradient or slope.
The formula for calculating the gradient of a function is expressed as:
\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)
Using the coordinate points from the table (0,41) and (15,35)
Substitute the coordinate into the expression:
\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)
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Find the slope:
(-1, -2) (-3, 4)
Answer:
-3
Have a nice day
help plsss its due today
The equation of line is y = -3x + 2
Define equation of variable?An equation for two variables is a mathematical statement that relates two variables, typically represented by x and y, using mathematical symbols and operations such as addition, subtraction, multiplication, and division.
To find the equation of the line that passes through the given points (2, -4), (3, -7), (4, -10), and (5, -13), we can use the slope-intercept form of the equation of a line:
y = mx + b, where slope of the line is m and y-intercept is b.
First, let's find the slope of the line using two of the points, say (2, -4) and (3, -7). The slope, m, is given by:
m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
= (-7 - (-4)) / (3 - 2)
= -3
we know the slope, we can use one of the points, say (2, -4), and the slope to find the y-intercept, b. Use the slope intercept to form the equation of a line:
y = mx + b, and substitute in the slope and coordinates of one of the points:
-4 = (-3)(2) + b
Simplifying this equation, we get:
b = -4 + 6
= 2
Therefore, the equation of the line that passes through the given points (2, -4), (3, -7), (4, -10), and (5, -13) is: y = -3x + 2
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You save 15 a week. How much will you have saved after w weeks? Answer construct a verbal model
Answer:
With every week you save, 15 more dollars are added into your savings.
Step-by-step explanation:
\(\left[\begin{array}{ccc}15(1)=15&15(2)=30&15(3)=45\\15(4)=60&15(5)=75&15(6)=90\\15(7)=105&15(8)=120&15(9)=135\end{array}\right]\)
express 7.36 as rational number
Answer: The ratio would be 73.6
the last digit of the heights of statistics students were obtained as part of an experiment conducted for a class. use the following frequency distribution to construct a histogram. what can be concluded from the distribution of the digits? specifically, do the heights appear to be reported or actually measured?
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
Frequency Distribution:
Digit Frequency
0 3
1 5
2 9
3 5
4 3
5 4
6 4
7 4
8 2
9 1
From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.
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a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2. 75 m/s. In that location, the distance directly across the river is 45. 0 m and the current velocity is 2. 5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
b) How many metres downstream will the current have carried the otter when it gets to the other side?
c) Calculate the otter's velocity, relative to the bank from where it started
The otter takes approximately 12.10 seconds to get to the other side if it swims directly across the river. The current will have carried the otter approximately 30.25 meters downstream when it reaches the other side. The otter's velocity, relative to the bank from where it started, is 0.25 m/s.
a) To find the time it takes for the otter to get to the other side, we can use the concept of relative velocity. The otter's swimming speed is 2.75 m/s, and the current velocity is 2.5 m/s. Since the otter is swimming directly across the river, its swimming speed and the current speed are perpendicular. Using the Pythagorean theorem, we can find the resultant velocity of the otter:
Resultant velocity = √(swimming velocity² + current velocity²)
= √(2.75² + 2.5²)
≈ √(7.5625 + 6.25)
≈ √13.8125
≈ 3.72 m/s (rounded to two decimal places)
The time it takes to cross the river is given by the distance divided by the resultant velocity:
Time = Distance / Resultant velocity
= 45.0 m / 3.72 m/s
≈ 12.10 seconds (rounded to two decimal places)
b) To find how many meters downstream the current carries the otter when it gets to the other side, we can calculate the distance using the time it takes to cross and the current velocity.
Distance downstream = Time × Current velocity
= 12.10 s × 2.5 m/s
= 30.25 m
c) The otter's velocity, relative to the bank from where it started, can be calculated by subtracting the current velocity from the otter's swimming velocity.
Relative velocity = Swimming velocity - Current velocity
= 2.75 m/s - 2.5 m/s
= 0.25 m/s
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A standard soccer ball has 2 sides.
Which of the following is equal to the
number of sides?
A 10
B 25
C 32
D 52
A bar that measures 8 inches long is divided into 5 equal parts. What is the length of one of those parts?
Answer:1.6 inches
Step-by-step explanation:
Can Anyone help me out on this please ?
Answer:
If i want to help u should answer me that which subject is this and which class r u
Translate each expression
No answering with a link !!!
Directions :
Translate each expression 1-6
Answer:
Solving the first 6Assumed the number is x#14x - 1#2(2/3)x + 7#3m - n#4x² - 9#52x/5#6(1/4)x + 27How large a sample is needed if we wish to be 98% confident that our sample mean will be within 0.0005 inch of the true mean given that the population has a standard deviation of 0.0015 inch and is approximately normally distributed. (Integer value)
Answer:
49
Step-by-step explanation:
\(MOE =z\frac{s}{\sqrt{n}}\)
\(\displaystyle 0.0005=2.326\biggr(\frac{0.0015}{\sqrt{n}}\biggr)\\\\0.0005\sqrt{n}=2.326(0.0015)\\\\\sqrt{n}=2.326(3)\\\\\sqrt{n}=6.978\\\\n\approx49\)
Therefore, you would need a sample size of 49 to obtain a margin of error of 0.0005
Question 23 HELP ME PLEASE Write an equation in slope-intercept from for the parallel to y=3x-2 that passes through the point (5,-2). Type your equation in form y=mx+b
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope so the equation would be y = 3x + b
plugging in the points you get -2 = 3(5) + b
this is -17 = b
The top of a key lime pie has four lime wedges in the center. If each wedge is a semicircle with a diameter of 4 cm how many square centimeters do the six wedges cover?
The six wedges cover, which is also the total area, 24π cm².
What is area?Area is the amount of two-dimensional space taken up by a shape or object. It is calculated by multiplying the length and width of a given shape or object.
To get to this answer, one must use the formula for the area of a circle,
A=πr, r = radius of the circle.
As each wedge is a semicircle, the radius is equal to half of the diameter, or 2 cm.
Therefore, the area of each wedge= 4π cm².
As there are six wedges, the total area of the four lime wedges in the center of the top of the pie
=6 × 4π cm²
=24π cm².
The area of each wedge= 4π cm² and total area is 24π cm².
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Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form
Answer:
5/12
frsjnjjuvvffklomjyyrx
Graph the solution set to this inequality. -4(x+ 3) ≤-2x
Answer:
hey hope the given pic are helpful(sorry for my bad writing)
Solve the expression x = -2
Answer:
That is already simplified. You can not simplify it anymore ,therefore that is your answer.
Step-by-step explanation:
Sung borrowed money from his parents over the last three days. This is represented by the negative values in the table.
What is the total of the values?
What is the average of the values?
Day 1 is negative 4 dollars, day 2 is negative 2 dollars, day 3 is negative 3 dollars.
Answer:
-$9
-$3
Step-by-step explanation:
So sorry i'm late!
Answer:
I'm terrible at explaining so here's a screenshot
Step-by-step explanation: