the following six jobs are to be scheduled on a single machine: job 1 2 3 4 5 6 processing time (min.) 70 140 200 120 160 100 suppose the jobs are processed in fcfs numerical order. compute the makespan, flow time for each job, and overall average flow time. round your answers to the nearest whole number.

Answer:

1. 1/25 cm^2

2. 9/49 u^2

3. 121/64 in^2

4. 0.01 m^2

5. 12.25 cm^2

Step-by-step explanation:

Take each of the values and square them

EXAMPLE:

(1/5)^2 = 1^2/5^2=1/25

Also, INCLUDE UNITS

Answer:

x= 0.41

Step-by-step explanation:

tan 9° =\(\frac{x}{2.6}\)

x= 2.6 tan9°  (cross multiply)

x= 0.41          (solve trignomatic function)

Answer:

  x = 9

Step-by-step explanation:

You want the length of the hypotenuse in the right triangle with one hypotenuse segment of length 4 and altitude to the hypotenuse of length 2√5.

The altitude of the triangle is the geometric mean of the segments of the hypotenuse:

  2√5 = √(4·(x-4))

  4·5 = 4·(x -4) . . . . . . square both sides

  5 = x -4 . . . . . . . divide by 4

  9 = x . . . . . . . add 4

The length of x is 9 units.

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Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

\(y =x+3\) and \(-1<x<5\)

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

\(\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}\)

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The correct statements regarding whether the set of measures can represent a triangle are given as follows:

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

Then the lengths in this problem are classified as follows:

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Answer:

20

Step-by-step explanation:

4(4)+3(4)-2(4)=20

the derivative of y = -\(x^2\) + 5x + 2 is  dy/dx = -2x + 5. . For y = 2\(x^2\) - 8x + 10 the  dy/dx = 4x - 8. for y = -2\(x^2\)+ 9x - 1 the  dy/dx = -4x + 9, after differentiation.

a. To find the derivative of y = -\(x^2\) + 5x + 2, we differentiate each term with respect to x. The power rule states that for a term of the form \(x^n,\) the derivative is n*\(x^(n-1)\). Applying this rule, we get:

dy/dx = -2x + 5

b. For y = 2\(x^2\)- 8x + 10, we again differentiate each term using the power rule:

dy/dx = 4x - 8

c. Lastly, for y = -2\(x^2\)+ 9x - 1, we differentiate each term:

dy/dx = -4x + 9

In each case, we obtain the derivative of y with respect to x. The resulting derivatives represent the instantaneous rate of change of y with respect to x at any given point on the curve. They also indicate the slope of the tangent line to the curve at that point. By finding the derivatives, we gain insight into the behavior and characteristics of the functions, such as the direction of increasing or decreasing values and the presence of maximum or minimum points.

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8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

What is permutation and combination?
A permutation is an orderly arrangement of things or numbers.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
The amount of two-letter words that can be created using the letters in a word, like GREAT, is an illustration of permutations: ⁵P₂ = 5!/(5-2)!
How many different ways we may write the words utilizing the vowels in the word GREAT is an example of a combination: ⁵C₂ = 5!/[2! × (5-2)!]

Given, the letters that can be used to create the required three letter word in question: a, b, c, d, e.
Total number of letters that can be used = 5
Total number of vowels in the available letters to be used = 2 ('a' and 'e')
Total number of consonants in the available letters to be used = 3 ('b', 'c' and 'd')
Case 1: A three letter word having all vowels where letters can be repeated
Here, since two letters are to put in three empty positions, the total number of ways to form this word = 2³ = 2 × 2 × 2 = 8
Case 2: A three letter word having all consonants where letters can be repeated
Here, since three letters are to put in three empty positions, the total number of ways to form this word = 3³ = 3 × 3 × 3 = 27
Thus, 8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

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Answer:

0.0035

Step-by-step explanation:

In front of the decimal point is the ones place. After that is the tenths place, hundredths place, and then thousandths place.

The following statements are true regarding the margin of error: Being more confident (increasing confidence level) will yield a larger margin of error and selecting a larger SRS from the population will yield a smaller margin of error.

A margin of error (MOE) is the degree of inaccuracy in estimating a population's true proportion or mean by analyzing a sample dataset. It represents the uncertainty or confidence level of a poll's findings. It is a critical element in political polls, scientific studies, and marketing research. The accuracy of the findings is expressed in the margin of error, which is given as a percentage. The standard deviation of the sampling distribution, not the standard deviation of the population, determines the margin of error. As a result, selecting a larger sample size, the standard deviation decreases, and the margin of error decreases. Therefore, selecting a larger SRS from the population will yield a smaller margin of error. Confidence intervals are used to determine the margin of error, and increasing the confidence level will result in a larger margin of error. As a result, being more confident (increasing confidence level) will yield a larger margin of error.

Thus, the correct options are (B) and (D). Option (A) is incorrect because a large confidence level requires a large value of 2*. Option (C) is incorrect because the margin of error is influenced by the standard deviation of the sampling distribution.

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Answer:

3 + n = 2n - 5

Step-by-step explanation:

let 'n' equal 'a number'

'more than' implies 'addition', so 3 + n

'is' in math implies 'equals', so 3 + n =

'double the number' means to multiply it by 2

'less than' implies 'subtraction'

So final result is:

3 + n = 2n - 5

Part A

\(C=175(13)+3500=\boxed{\$5775}\)

Part B

\(7875=175n+3500 \\ \\ 4375=175n \\ \\ n=\boxed{25}\)

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

12 bags of cookies.

Step-by-step explanation:

Since you already start out with $24, you will have a y-intercept of 24. Your slope will be 3, since each bag sells for $3.

Your equation will be y = 3c + 24.

Your sister does not start out with money, so she will have a y-intercept of 0. Her slope will be 5, as each bag sells for $5.

Her equation will be y = 5c.

Since y = y, you can set the two equations equal to each other.

3c + 24 = 5c

5c = 3c + 24

Subtract 3c from both sides

2c = 24

Divide both sides by 2

c = 12

So, they must sell 12 bags of cookies to raise the same amount of money, $60. Yum!

Hope this helps!

Answer:

Step-by-step explanation:

8y²+6y+1

=8y²+4y+2y+1

=4y(2y+1)+1(2y+1)

=(2y+1)(8y+1)

Answer:

146 units

Step-by-step explanation:

midpoint which means both lengths equal each other

GH=FG

14x+25=73-2x

12x=48

x=4

FH would therefore= both lines added together

14(4)+25+73-2(4)

=146 units

The likelihood of striking a 6 on the this unbalanced die is therefore 1, or 100%.

A reasonable transaction result in money, products, or services. 2.: The monetary value of anything. 3.: value, usefulness, or significance in relation to anything else

As the die has only 6 sides, the probability of rolling a 6 is denoted by P(6). Let's use the formula of expected value to find P(6).

The expected value of the die is given by:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 21/6 = 3.5

We know that the expected value of the entire die is 4. Therefore, the expected value of the additional bonus for rolling a 6 is:

E(Y) = 4 - E(X) = 4 - 3.5 = 0.5

Since the bonus value can only be obtained by rolling a 6, the probability of getting a 6 is equal to the probability of obtaining the bonus value of 0.5. Hence, we have:

P(6) = P(Y = 0.5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Since the numbers 1-5 are equally likely to occur, we have:

P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = P(X = 5) = 1/5

Therefore,

P(6) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 5/5 = 1

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I'm going to assume you meant to say

\(\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}\)

Factorize the denominator to reveal a removable discontinuity in the limand:

\(\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}\)

In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with

\(\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}\)

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 502, \sigma = 115\)

The proportion of students between 400 and 590 is the p-value of Z when X = 590 subtracted by the p-value of Z when X = 400, hence:

X = 590:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{590 - 502}{115}\)

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{400 - 502}{115}\)

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

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Answer:

22

Step-by-step explanation:

The 309.3333 is the base amount of seniors that graduate each year, the x is the number of years, so the 21.8571 is the number of students they increase by. This answer is 100% I took the final and got it right. Hope this helps!!  :)

Answer:

22

Step-by-step explanation:

EXPLANATION

Let's see the facts:

%Earns= 13% commission/week

Last week sold = $7,500

In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:

$Earns = 0.13 (decimal form)*$7,500

Earns = $975

Last week, he made $975 in commission.

If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year

Answer:

from what I know he paid.$ 22.50

explanation

2 shirts cost $ 15.00

what about one shirt $ 1500

2

one shirt costs $750

what about 3 shirts $750x3= $2250

total was $ 2250 so he paid $750 since one shirt costs $750

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).

Students remaining after volleyball

  = Total number of students - Number of students who play volleyball

  = 48 - 24 = 24

Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).

Students remaining after basketball

  = Total number of students - Number of students who shoot basketball

  = 24 - (4x5)

  = 24 - 20 = 4

Further, the remaining students go for climbing the rock wall.

Hence, the number of students who climbs the rock wall is 4.

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The probability of making a basket on the sixth shot is 0.075. The probability that the first and second baskets occur on the fourth and eighth shots is 0.031.

For the first shot to be on the sixth trial, five earlier shots must have failed.

The probability of a missed basket is 1 - 0.45 = 0.55.

The probability of five missed baskets in a row is (0.55)5 = 0.166.

The probability of making a basket on the sixth shot is 0.45.

Hence, the probability of making a basket on the sixth shot is 0.45 * 0.166 = 0.075.
There are a few possible ways to get the first and second baskets to happen on the fourth and eighth shots, respectively.

In the end, either of the following two paths will work:
4 failures, then 2 successes, then 2 failures
3 failures, then 1 success, then 1 failure, then 1 success, then 2 failures
Using the multiplication rule, we get the following probabilities for each course:
P(4 failures, 2 successes, 2 failures) = (0.55)4 * (0.45)2 * (0.55)2

= 0.018
P(3 failures, 1 success, 1 failure, 1 success, 2 failures) = (0.55)3 * (0.45) * (0.55) * (0.45) * (0.55)2

= 0.013
The probabilities of the two possible routes must be summed up to arrive at the answer.
Hence, the probability that the first and second baskets occur on the fourth and eighth shots, respectively, is 0.018 + 0.013 = 0.031.

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Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Jamal has a greater test average than Natalia. Natalia has more consistent test scores than Jamal.

To find the test average, you add up all the test scores and divide by the number of test scores.

Jamal's average: (84+88+92+94) / 4 = 89.50

Natalia's average: (86+88+90+92) / 4 = 89

Jamal has a greater test average.

To find the consistency of test scores, you can use the range, which is the difference between the highest and lowest scores.

Jamal's range: 94-84=10

Natalia's range: 92-86 = 6

Natalia has the most consistent test scores, as the range of her scores is smaller than Jamal's.

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Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

How does this occur?

from a company real estate broker's office. The competitor's sales were equal to the average number of sales 8 months before jured began gathering data and again 2 and 6 months after he began gathering data. The relative minimum number of sales was lower than the relative minimum number of sales of Jared's office.

Use the sliders for a, b, c, and d to create a graph that could model the competitor's number of sales.

Graph is given below in Image.

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Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...