9514 1404 393
Answer:
see attached
Step-by-step explanation:
The cycle time of 1.5 minutes tells us that each workstation has 1.5 minutes to complete its assigned tasks. We assign tasks as follows.
Starting from a list of eligible tasks—those with no unworked preceding tasks—the selection criterion says we must choose the one with the longest task time. We continue in this way until the time remaining on the workstation is less than the time required for the longest eligible task. At that point, we open a new workstation and repeat the process.
__
Comments on the solution
The numbers highlighted in red are the idle time for the workstation. Ideally, they are all positive, so as to be able to absorb any delays in executing the tasks. Here, we find that workstation 3 has no idle time, so any delay there will be a delay in required production of pumps.
The flow we have arranged is from Workstation 1 → Workstation 2 → Workstation 3. If flow back and forth between workstations were allowed, then we could assign task H to workstation 2 and tasks D and G to workstation 3 to create an idle time of 0.1 minutes at each workstation. Such an assignment would not strictly adhere to the "longest task first" criterion.
The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet
9514 1404 393
Answer:
D. 53 feet
Step-by-step explanation:
The value of the expression when x=0 is ...
3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53
The initial height of the ball is 53 feet.
Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want
the length to be 9 feet longer than the width, w. What are the dimensions of the flower garden?
Define your variables, write an equation, and solve. (Hint: Draw a rectangle and label all the sides).
What's the width of the rectangle?
And what's the length?
Answer:
Answer is 9 feet = 9 fe 2t
w= 9fe 2t
Step-by-step explanation:
This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?
Answer:
[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]
Answer:
105
Step-by-step explanation:
its right trust me
but make sure this is the question that you are doing
Someone please help me. I will mark brainliest. I really need help ASAP.
Answer: 38.8
Step-by-step explanation:
use formula C = π * D
Diameter = 6
C = π * 6
C = 18.8495559215 = 18.8
18.8 + 10 + 10 = 38.8
What is 8 minus a number
8-n
8/n
8n
N/8
Which one
Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x
A study examined the effectiveness of an ear-molding technique used to correct ear deformities in newborns without the need for surgery. A plastic mold was placed around the deformed ear shortly after birth for about two weeks. The study reports that 152 of 158 procedures were successful. We would like to estimate with 95% confidence the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction. We can use
Answer:
The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The study reports that 152 of 158 procedures were successful.
This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]
The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).
The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)
We want to find confidence interval and the formula is;
CI = p^ ± z√(p^(1 - p^)/n)
We are told that the study reports that 152 of 158 procedures were successful. Thus;
n = 158
p^ = 152/158
p^ = 0.962
Now, we want to find the confidence interval at a 95% confidence level.
The critical z value for 95% confidence level is;
z = 1.96
Thus;
CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)
CI = 0.962 ± 0.0298
CI = (0.962 - 0.0298), (0.962 + 0.0298)
CI = (0.9322, 0.9918)
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1÷-½ aswer please!!
Answer:
[tex]( - 2)[/tex]
Step-by-step explanation:
[tex]1 \div - \frac{1}{2} \\ 1 \times - \frac{2}{1} \\( - 2)[/tex]
Hope this helps you.
have a nice day!
find the correct results.
remember the maths is exact .
1+4=5
2+5=12
3+6=21
5+8=...
9514 1404 393
Answer:
5 + 8 = 45
Step-by-step explanation:
We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.
Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.
Following this pattern, we have ...
4 + 7 = 32
5 + 8 = 45
_____
Additional comment
Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...
f(1, 4) = 5
f(2, 5) = 12
f(3, 6) = 21
and asked to predict the value of f(5, 8).
f may be any of a variety of functions. A couple of them are ...
f(x, y) = x^2 +4y -12
f(x, y) = y^2 -2x -9
or ...
f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)
HELP ME PLEASE I AM CRYING
Answer:
I thinks is the 4th or the last
(8 – 10i) – (-16 + 2i)
Answer:
8-10i - -16+2i= 236
Step-by-step explanation:
I am brainliest
Answer:
-16
Step-by-step explanation:
(8-10i) - (-16+2i)
2i - (-14i)
-16
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
The difference between two numbers is 3. What is the larger number if the smaller number is -4? *
Answer:-1
Step-by-step explanation:
Subtract plus 3
Answer:
-1
Step-by-step explanation:
x-y=3
x—Larger number
y—smaller number
x-(-4)=3
x+4=3
x=–1
he volume of a cylinder varies jointly with the base (area) and the height. The volume is 40inches^3 when the base (area) is 6inches^2 and the height is 20inches. Find the volume of the cylinder (after finding the variation constant) when the base (area) is 8inches^2 and the height is 12inches.
Answer:
Variation factor k = 1/3
New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3
Step-by-step explanation:
As we know,
The volume of cylinder (V) is given by πr²h
Here πr² = base area and h is the height of the cylinder
V ∞ πr²h
V = kπr²h
Substituting the given values, we get
40 = 6 x 20 x k
40 = 120k and
k = ⁴⁰/₁₂₀
= ¹/₃.
Volume when base area = 8in² and h = 12 inch
V = 8 x 12 x ¹/₃
V = 32in³
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 45%
Step-by-step explanation:
Need help fast please,
Answer:
with?
Step-by-step explanation:
Answer:
I can help you really fast, if you give me something to work on
Step-by-step explanation:
also, my life is blank like this question
I need help!
Question 1 and 2 have the same questions so HELP!!
Answer:
21.99 or just round to 22
Step-by-step explanation:
Radius is 3.5
Diameter is 7
Circumference is 21.99
Answer:
1st Circle
Radius = 3.5
Diameter = 7
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3.5 = 21.98
2nd Circle
Radius = 9
Diameter = 18
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52
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Answer please which number line shows 1/3 and it’s opposite
Answer:
D
Step-by-step explanation:
the first of three parts is what 1/3 is
What is the sum?
46 mins left please help!!!!!
I will give the BRAINEST
State how many solutions each equation has.
x2
-100
5x2
1
6x2 + 17 = 11
7 (x² + 6)
42
Answer:
-100x4xx=17xStep-by-step explanation:
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If the volume of two similar spheres are 128m^3 and 1458m^3.
1. What is their scale factor? (in a ratio)
2. What is the ratio of their surface areas?
Answer:
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Step-by-step explanation:
Scale factor is 11.39 and ratio is 729:64
what is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
volume of two similar spheres are 128m³ and 1458m³.
Scale factor= volume of sphere 1/ volume of sphere 2
= 1458/128
= 729/64
= 11.39
and the ratio = 729 : 64
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An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown, derive a sampling plan using Procedure 1 from MIL STD 414.
Answer:
use inspection level 4 ( IV ) to perform a normal inspection or tightened inspection to derive a sampling plan procedure from MIL STD 414
Step-by-step explanation:
Having an AQL of 1.55
assuming lots size of 7000
Std = unknown
To derive a sampling plan
use inspection level 4 ( IV ) where the sample size is denoted as M ( i.e. sample size n = 14) which will reciprocate an acceptable quality level of 1.5%. on a normal inspection the value of K will be = 1.4 but if we employ a tightened inspection the value of K will become 1.54 in value
note that : both the normal and tightened inspection can be performed using the same table
Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
Answer:
a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
Step-by-step explanation:
Probabilities of independent events happening together:
The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.
In this question:
0.23 probability that a student is taking a high-level English class.
0.36 probability that a student has been bullied.
1/3 = 0.3333 probability that a student is in music class.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
0.23*0.36 = 0.0828
0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
0.36*1/3 = 0.12
0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
0.23*0.36*1/3 = 0.23*0.12 = 0.0276
0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
In January 2008, the temperature in parts of Minnesota fell from 46 (Fahrenheit) to -14(Fahrenheit) over a 24-hour period. What was the average temperature change per hour?
Answer:
the answer is -0.4.
Step-by-step explanation:
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A round stained-glass window has a diameter of 12 inches. What is the circumference to the nearest inch? No links.
Answer:
37.68 inches OR about 38 inches
Step-by-step explanation:
To find the circumference from the diameter, you need to multiply the diameter by pie (3.14)
Is (1,2) (1,3) (1,4) a function?
Answer:
yes
Step-by-step explanation:
On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.
Answer:
First, compute the z-score:
z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5
Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/). The percentile, p(z=1.5), is the percent of people who scored 650 or less. The percent who scored more than 650 is 1-p(z=1.5). Multiply that by the 1200 students to get the number who scored more than 650. Round to the nearest whole number (because you can't have a fraction of a person).
For the given data the value of the z score will be 1.5
What is the standard deviation?It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ stands for the standard deviation
x is the value from the data set
X is the data set mean
n is the number of observations
It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.
The Z-score of a person who scored 140 on the exam is as,
z = (x-μ)/σ
z = (650-500)/100
z = 150/100
z = 1.5
Thus, the value of the z score will be 1.5
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The length of a rectangle is 4y inches. The with of a rectangle is (y+2) Find the perimeter of the rectangle in terms of y
Answer:
10y+4
Step-by-step explanation:
perimeter=2(l+b)
2(4y+(y+2))
2(4y+y+2)
2(5y+2)
10y+4
Fill in the missing number 87, 84, 81 —, —-
Answer:
87 , 84, 81, 78, 75
Step-by-step explanation:
it goes down each time by threes
2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY
Answer:
Marie Skłodowska-Curie
Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.
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