Answer:
a
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 3 \ minutes = 180 \ seconds \)
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
Generally the sample mean is mathematically represented as
\(\= x = \frac{156 + 136 + \cdots + 181}{25}\)
=> \(\= x = 173.2 \)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }\)
=> \(\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }\)
=> \(\sigma = 24.261\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }\)
=> \(t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }\)
=> \( z = -1.40\)
Generally p-value is mathematically represented as
\(p-value = P(Z < z)\)
=> \(p-value = P(Z < -1.40)\)
From the z-table
\(P(Z < -1.40) = 0.080757\)
=> \(p-value = 0.080757 \)
From the obtained value we that \(p-value > \alpha\)
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
For more related questions on time spent:
https://brainly.com/question/28263820
#SPJ8
which graph of y= 3/4x-3
Answer:
Graph A
Step-by-step explanation:
We can plug the function into a graphing calculator and check to see which graph matches up.
QUESTION IN PIC
CORRECT ANSWER GETS BRAINEST
Answer: 0.8333
Step-by-step explanation:
your shift runs 8 hours. from the 8 hours, 30 minutes is allowed for lunch and 30 minutes for breaks. you must produce 78.0 units per shift. give the takt time in minutes.
The stated statement indicates that the takt time is 5.38 minutes for each section.
What is an example of takt time?Takt time is calculated as the amount of manufacturing time that is available divided by the volume of orders. Takt time, for instance, is two minutes if a factory makes widgets for 480 minutes a day and clients need 240 widgets per day. Similar to this, the takt time is one week if clients desire two new goods per month.
How does takt time change?Takt time depends on client demand and the amount of time that is available, and for many items, it is always changing as the demand from the market shifts. Takt time is unaffected by system changes, although cycle time is affected.
Briefing:Available hours are 7 * 60 minutes, which is 420 minutes.
No. of parts = 78 units
Available time for work / No of parts = Takt time
= 420/ 78
= 5.38 minutes per part
To know more about takt time visit:
https://brainly.com/question/15138591
#SPJ4
PLEASE HELP
The equation of a line in the point-slope form is show below.
5 - 9 = {* - 2)
What is the slope of this line?
OC 5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(y - 9 = \frac{1}{5} (x - 2) \\ \)
\(y - 9 = \frac{1}{5} x - \frac{2}{5} \\ \)
Add sides 9
\(y -9 + 9 = \frac{1}{5} x - 0.4 + 9 \\ \)
\(y = \frac{1}{5} x + 8.6 \\ \)
\(y = \frac{1}{5} x + \frac{43}{5} \\ \)
This is the slope-intercept form.
Remember from now on ,The coefficient of x is the slope of the line in slope-intercept form of the linear functions.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ,
Slope = 1 / 5
And the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
E
Step-by-step explanation:
Like and give 5 star rating
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.
To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:
Step 1: Determine the number of days covered in June.
Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.
Step 2: Calculate the daily rate.
To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:
Daily rate = 6,144 / 365
Step 3: Calculate the amount paid for June.
The amount paid for June can be found by multiplying the daily rate by the number of days covered:
Amount paid for June = Daily rate * Number of days covered in June
Step 4: Calculate the amount paid for the year.
To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):
Amount paid for the year = Daily rate * 365
Now let's perform the calculations:
Step 2: Daily rate
Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)
Step 3: Amount paid for June
Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)
Step 4: Amount paid for the year
Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)
For more such information on: amount
https://brainly.com/question/25720319
#SPJ8
I WILL AWARD BRAINLIEST PLEASE HELP!!!
All the students in an English class complete a 25-point extra-credit assignment to raise their test scores. The new test score is 25 points more than the original score. Let x = original score Let y = new score Which equation represents this situation? A. y = 25x B. y = x – 25 C. y = x ÷ 25 D. y = x + 25
Please help screenshot attached have 1 hr 30 mins
Answer:
$202.80
Step-by-step explanation:
y=0.08x+1/20
x=2520
y=0.08x+1.20
0.08*2520+1.20
201.6+1.20
$202.8
One quart is approximately equal to 0.95 liter. To convert quarts to liters, which operation should you use? Why?
A. addition; there is about 0.95 liter in 1 quart. Add when converting smaller units to larger units.
B. Division; there is about 0.95 liter in 1 quart. Divide when converting smaller units to larger units.
C. Multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units.
D. Subtraction; there is about 0.95 liter in 1 quart. Subtract when converting larger units to smaller units.
The operation you would use is multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units. (option C).
What is multiplication?Multiplication is the operation that is used to determine the product of two or more numbers. The sign that is used to denote multiplication is ×. Multiplication is one of the operations in maths. Other operations in mathematics ae addition, division and subtraction.
1 quart = 0.95 liters
In order to convert 100 quart to liters, multiply 100 by 0.95
0.95 x 100 = 95 liters
To learn more about multiplication, please check: https://brainly.com/question/13814687
#SPJ1
Electric circuit consisting of 20 lights, 25% of the lights did not work. How many lights did not work?
Answer:
5 Lights
Step-by-step explanation:
L = .25 * 20 = 5 Lights.
Answer:
20 X 1/4 (25%)=5
5 lights didn't work
Step-by-step explanation:
Explain the difference between [-3] and -3?
Answer:
0
Step-by-step explanation:
Assuming [-3] is the absolute value of -3 (which is 3), then you get 3-3, which is 0.
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers,
Express in exponential form.
logo0.001 =3
In order to write log10(0.001) = -3 in index form, we have \(10^{-3} = 0.001\).
Exponential form of logarithmThe logarithm of a number refers to the power to which a given base is raised to give the number. In this case, the base is 10 and the index is 3. Our task is to write log10(0.001) = -3 in index form.
Recall that;
\(a^{x}\) = PHence, to write log10(0.001) = -3 in index form we have to write, \(10^{-3} = 0.001\)
Learn more about logarithm: https://brainly.com/question/7302008
\(n^{5} = 1254\)
How am i supposed to solve this?
Answer:
Step-by-step explanation:
\(n^{5}= 1254\\n^{5} = 2.3.11.19\)
Therefore it is not possible that n is a perfect power of 5
it is approximately 4.16
Answer:
n ≈ 4.165
Step-by-step explanation:
To solve this, you need to take the 5th root of both sides:
\(n^5=1,254\)
\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)
On the lhs we're only left with n as n^5 and the 5th root cancel each other out.
On the right-hand side we need to calculate:
\(n\approx4.165\)
What is the value of n?
Answer:
your answer will be A.85°
Step-by-step explanation:
hope it helps you
have a great day!!!
What is the missing side length??
The length of the missing leg for the triangles are: x = 7.01, f = 5.4, and d = 15.1 using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
By Pythagoras rule we can evaluate for b as follows:
x = √(7.5² - 2.5²)
x = √50
x = x = 7.0711
f = √[(√78)² - 7²]
f = √(78 - 49)
f = √29
f = 5.3852
d = 2 × √(11² × 8²)
d = 2 × √53
d = 15.0996
Therefore, the length of the missing leg for the triangles are: x = 7.01, f = 5.4, and d = 15.1 using the Pythagoras rule.
Read more about Pythagoras here:https://brainly.com/question/343682
#SPJ1
In ACDE, m/C= (5x+18), m/D= (3x+2), and m/B= (2+16)°.
Angle (D) = m(D) = 50°, CDE provides the following: 3. angles
m=C=(5x+18), m=D=(3x+2), and m=E=(x+16)°.The total of the angles in a triangle is 180°What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.CDE provides the following: 3. angles
m<C=(5x+18),m<D=(3x+2), andm<E=(x+16)degree.The total of the angles in a triangle is 180 degrees, so:
"mC + mD + mE = 180°"(5x+18)° + (3x+2)° + (x+16)° = 180°5x + 18 + 3x + 2 + x + 16 = 180°5x + 3x + x + 18 + 2 + 16 = 180°9x +36= 180°From both sides, deduct 36 as follows:
9x + 36 - 36 = 180° - 36°9x = 144°x = 144°/9x = 16From the aforementioned query, we are requested to determine:
angular D (m<D)Hence:
m∠D=(3x+2)°m∠D=( 3 × 16 + 2)°m∠D=(48 + 2)°m∠D= 50°Therefore, angle (D) = m(D) = 50°, CDE provides the following: 3. angles
m=C=(5x+18), m=D=(3x+2), and m=E=(x+16)°.The total of the angles in a triangle is 180°To learn more about angles, refer to:
brainly.com/question/25716982
#SPJ13
Please help! No fake answers please.
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
a. 0.06%
b. 0.4%
c. 6%
d. 40%
Answer: D
Step-by-step explanation: you just got coconut malled send this to a friend to totally coconut mall them (D is correct)
Answer:
d, 40% !
Step-by-step explanation:
this one, you can use long division ! since the faction of apple to all fruit is 6/15, you divide 6 by 15. you would get the decimal 0.4
in order to make that a percentage, you'd just move the decimal two places to the right, then add a % !! so it's 40% !!
i really hope this helped!
Convert the measurement!
72 inches = { } feet
Can someone please g
find the length X.
Answer:
x = 7
Step-by-step explanation:
the 2 is doubled so the 3.5 has to be doubled as well
Is the inverse of the following conditional true?
If t<5, then t>6.
The inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6" is not always true but true for some values of t.
What is a function?An expression, rule, or law that defines a relationship between one variable and another variable.
Let's first consider the original statement: "If t<5, then t>6."
This statement is saying that if t is less than 5, then it must be greater than 6, which is impossible since no number can be less than 5 and greater than 6 at the same time.
So the original statement is always false, no matter what value of t we choose.
So, the inverse of "If t<5, then t>6" is "If t≥5, then t≤6".
This statement is saying that if t is greater than or equal to 5, then it must be less than or equal to 6.
This statement is true for any value of t that is greater than or equal to 5 and less than or equal to 6.
Hence, the inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6" is not always true but true for some values of t.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ9
Functions f(x) and g(x) are composed to form h (x) = StartRoot x cubed minus 2 EndRoot. If f (x) = StartRoot x + 2 EndRoot and g (x) = x cubed + a, what is the value of a?
0
–1
–2
–4
Answer:
-4
Step-by-step explaition
Answer:
-4
Step-by-step explanation:
edge 2020
What is the slope, y-intercept and equation, marking Brainly .
Answer:
m=slope = 5
b=y intercept=-4
Step-by-step explanation:
Answer:
Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5
Step-by-step explanation:
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
An engineer was supposed to draw a line exactly 27/32 inch long. An error was made,and he drew the line 31/32 inch.how much longer was the line that the engineer drew?)
Answer:
1/8 of an inch
Step-by-step explanation:
Since the denominator is the same, we only need to subtract the numerator
31 - 27 = 8.
Now we have to simplify 8/32.
Divide both sides by 8, and you get 1/8
The engineer drew the line 1/8 of an inch longer than needed.
What is the area of the figure below?
A.96 square units
B.61 square units
C.40 square units
D.28 square units
a department store sells a pair of shoes with an 87% markup, if the store bought the pair of shoes for 55.25, what is the selling price to the nearest dollar?
Answer:
$103
so 87% of $55.25 is 48.0675
48.0675+55.25 is 103.3175
103.3175 rounded to the nearest dollar is 103.
A square pyramid has a base edge of 1 meter. The height of each triangular face is 1 meter. What is the pyramid's surface area?
Answer:
A square pyramid has 5 faces: 1 square base and 4 triangular faces.
The area of the base is:
A = s^2
where s is the length of the base edge.
In this case, s = 1 m, so:
A = 1^2 = 1 m^2
The area of each triangular face is:
A = 1/2 * b * h
where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).
In this case, b = 1 m and h = 1 m, so:
A = 1/2 * 1 * 1 = 0.5 m^2
The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:
SA = A_base + 4 * A_triangles
SA = 1 + 4(0.5)
SA = 1 + 2
SA = 3 m^2
Therefore, the surface area of the pyramid is 3 square meters.
High school sports team has eight seniors, five juniors and 12 sophomores what percent is the seniors
Answer:
32%
Step-by-step explanation: