can someone help ???

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

The measure that would most correctly answer this question is standard deviation.

What is standard deviation?

The standard deviation is measure of how spread out data from mean.

Step-by-step explanation:

Average age of respondents in a survey is \(49\) years. Researcher interested in finding out if most respondents are close to \(49\) years or not.

Hence here measures of dispersion fact will be used.

Measures of dispersion are range and standard deviation.

Range is nothing but the difference between maximum and minimum values of the data.

Standard deviation gives proper idea about how far the data values are scattered from the mean point \(49\) years.

Therefore the correct option is standard deviation.

To know more about standard deviation from given link,

https://brainly.com/question/12402189

#SPJ4

Answer:

x = 7, -2

Step-by-step explanation:

==========================================

Work Shown:

x^2 - 5x = 14

x^2 - 5x - 14 = 0

(x-7)(x+2) = 0 .... this step is further explained below

x-7 = 0 or x+2 = 0

x = 7 or x = -2

The order of the solutions does not matter.

-------------------------

To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.

After a bit of guess work, you should find that -7 and 2 are the two values we're after

-7 + 2 = -5

-7 * 2 = -14

This is why x^2-5x-14 = (x-7)(x+2)

Point D is between points C and F as the diagram shows. Without using a visual aid, you can tell based on how CD and DF are ordered. Note how the "D"s in CD and DF are adjacent when you place them together

CD DF ---> CF

That is one way to think about it. Although, for me, a visual guide is better.

---------------

Point C is at location 20 on the number line. We move 3 spots over to get to point D, so D is at 20+3 = 23 on the number line. Then we move another 5 units to the right to get to point F which is at 23+5 = 28

C = 20

D = 23

F = 28

28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

The length of the arc with a central angle of 45 degrees and radius 6 cm is 4.71 cm

From the question, we have the following parameters that can be used in our computation:

Central angle = 45 degrees

Radius = 6 cm

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 45/360 * 2 * 3.14 * 6

Evaluate

Length of arc = 4.71

Hence, the length of the arc is 4.71 cm

Read more about arc lengths at

brainly.com/question/16552139

#SPJ1

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

Learn more about outcomes here:

https://brainly.com/question/17238771

#SPJ11

Answer:

-3.2

Step-by-step explanation:

If the number is smaller than the number it's being subtracted by it will be a negative

Answer:

4/9 of sales are veggie 5/9 are turkey

4/(4+5)=4/9

5/(4+5)= 5/9

4/9 x 27 = 12

5/9 x 27 = 15

12 veggie subs sold and

15 turkey subs sold

12+15=27 total sold

Step-by-step explanation:

Answer:

he bought 3 gallons of water

Answer:

3.4 gal

Step-by-step explanation:

12-3.50=8.50

8.50/2.50=3.40

Answer:

1 5/12

Step-by-step explanation:

9514 1404 393

Answer:

  t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

  t + c ≤ 25

The power series representation for the function f(x) = ln(9 + x²) is:

ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ)

How can we express the function f(x) = ln(9 + x²) as a power series?

To derive the power series representation for the function f(x) = ln(9 + x²), we start with the Taylor series expansion for ln(1 + t), where t = x² - 9:

ln(1 + t) = ∑ from n=1 to ∞ (-1)ⁿ * (tⁿ / n).

We substitute t = x² - 9 into the above equation:

ln(9 + x²) = ∑ from n=1 to ∞ (-1)ⁿ * ((x² - 9)ⁿ / n).

This gives us the power series representation for f(x) = ln(9 + x²). However, it's worth noting that this power series converges only within a certain interval of x values.

The radius of convergence can be determined using techniques such as the ratio test or the interval of convergence of the original function.

Therefore, the answer is ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ), but the convergence of the power series needs to be considered based on the interval of convergence.

To know more about function, refer here:

https://brainly.com/question/10500042#

#SPJ4

Answer:

(A) Acute Angle

Step-by-step explanation:

An acute angle is any angle less than 90 degrees,

an obtuse angle is any angle more than 90 degrees,

a right angle is exactly 90 degrees,

and a straight angle is 180 degrees.

I hope this helps!

The change in speed equals 2m/s and Magnitude of acceleration = 2.

What is meant by zero acceleration is the rate of change in speed. Thus, the rate of change in speed is zero while the car is moving at a constant pace. As a result, there is no acceleration. Magnitude is the length of any vector that points in the direction of the vector and is denoted by its unit. As a result, the acceleration's magnitude is equal to the acceleration vector's length and is directed in the same direction. For any vector quantity, this is true.

the sense, or the direction the vector is moving (left/right, up/down); the orientation, or the angle(s) governing the vector's alignment (transversal, longitudinal); and

The "strength" of the function is represented by the magnitude, or the value derived from the scalar quantities.

Change in speed = 5 m/s - 3m/s = 2m/s

As acceleration = rate of change in speed

Magnitude of acceleration = 2

To learn more about  acceleration to refer:

brainly.com/question/2303856

#SPJ1

Answer:

48

Step-by-step explanation:

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

Point K is located at -6.

Step-by-step explanation:

-15+9=-6

Point K is located at -6.

Answer:

10a: △ABC is an Equilateral triangle with all acute angles.

10b: △BCD is A scalene triangle with all acute angles.

10c: △BDE is An Isosceles triangle with one obtuse angle.

Step-by-step explanation:

10) Looking at the diagram at the bottom left;

- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.

Thus, we can classify it as; Equilateral triangle with all acute angles.

- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.

We can classify it as;

A scalene triangle with all acute angles

- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.

Thus, we can classify it as;

- An Isosceles triangle with one obtuse angle.

Note that the most appropriate measure of center in this case is the median, as it is less affected by extreme values. The value of the median is 6.4.

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

The median is the value in the center of a set of data. First, arrange and sort the data in ascending order from smallest to largest.

Divide the number of observations by two to obtain the midway value. If there are an odd number of observations, round that number up to the next whole number, and the value in that location is the median.

Learn more about median at:

https://brainly.com/question/30059

#SPJ1

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(–2, 6) and H(5, –3)

The slope is

m = -3 - 6 / 5 -- 2 = - 9 /7

Hope this helps you

Answer:

Cab B charged more

It charged $(30-x) more

Step-by-step explanation:

Here, we want to know which of two cabs charged more for a ride from the airport to the mall.

To know the cab that charged more, we shall be substituting any same value of x in both of the fees

Let’s say x is 10

Thus 5x + 20 becomes 5(10) + 20 = 50 + 20 = 70

while 4x + 50 becomes 4(10) + 50 = 40 + 50 = 90

Clearly we can see that 4x + 50 is greater then 5x + 20, so we can conclude that 4x + 50 is a greater fee

Now since we know the one that’s higher, we can now know the value by which it is higher

That would be (4x + 50)-(5x + 20)

= 4x + 50 -5x -20

= 4x-5x + 50-20

= -x + 30 or simply 30-x

The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

To know more about guy wire here

https://brainly.com/question/15504383

#SPJ4

Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

Answer:

49.4 liters

Step-by-step explanation:

we have the basic ratio between liters of petrol (gasoline) and distance driven :

19/50

now, the same ratio has to apply, when we talk about 130 km instead of just 50.

so,

19/50 = x/130

x = 130×19/50 = 13×19/5 = 49.4 liters

if I may add, this is a very bad or at least very, very big car based on today's standards ...