the managers of a corporation were surveyed to determine the background that leads to a successful manager. each manager was rated as being either a good, fair, or poor manager by his/her boss. the manager's educational background was also noted. the data appear below. what is the probability that this manager has no college background, given that the manager is only a fair manager,?

Answer:

1. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40

1. 40 sayısının çarpanlarından: 1, 2, 4, 5, 8, 10, 20 and 40

Step-by-step explanation:

kaç tanesi tek sayıdır: 2

How many are odd numbers: 2

yanılıyor olabilirim eğer bir hata yaparsam lütfen söyleyin

I might be wrong so if I make any mistakes please tell me

Answer:

The slope of the perpendicular line  m =6

Step-by-step explanation:

Step(i):-

Given that the equation of the straight line

                                            2x + 12y =-192

                                        ⇒ 12 y = -192 -2x      

                                               \(y = \frac{-2x}{12}- \frac{192}{12}\)

                                              \(y = \frac{-x}{6} - 16\)

                                             y = m x +C

The slope of the given line\(m = \frac{-1}{6}\)

Step(ii):-

The slope of the perpendicular line

                                        \(\frac{-1}{m}\)

                                   = \(\frac{-1}{\frac{-1}{6} }\)

The slope of the perpendicular line m =6

Answer:

2(6) + 2(x + 10)

hope this helps <3

The algebraic expression to represent the rectangle's perimeter is (2x + 32)cm.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Length of rectangle = 6cm

Width of rectangle = (x + 10)cm

Perimeter of rectangle = 2(length + breadth) = 2(6 + x + 10) = (2x + 32)cm

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

z = 1

Step-by-step explanation:

-z + 7 = 6

    -7    -7

             -1    

So, basically add -7 on both side (or the kcf method) which cancels out on on the right side but makes -1 on then notice how the -z/-1 = a positive because a negative divided by a negative is a positive so its positive one.

How to check?

just replace -z with -1 and put -1 + 7 = 6 which makes this answer correct.

Graph 1 has n<14 inequalities, and graph 2 has n>14 inequalities.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

The two rules of inequality :

Rule 1: Adding or subtracting the same amount from both sides of an inequality does not change the inequality symbol. Rule 2: Multiplying or dividing both sides by a positive number does not change the inequality symbol.

Here graph 1 depicts

The line is extending to the left of the number 14, excluding 14.

So, the inequality will be;

n < 14.

The graph 2 depicts

The line, which includes the number 14, is moving to the right.

So, the inequality will be ;

n≥14

As a result, the inequalities are n14 and n14 of graphs 1 and 2, respectively.

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Answe

4h/5

Step-by-step explanation:

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

The sum of interiror angle is 900 degree.

The sum of interior angles of polygon is,

Here, n is number of sides.

Determine the number of side for sum of interior angle is 900.

So polygon has 7 sides.

Answer: 7 sides

Answer:

-9df^3 - 3f^3 - 7d^2 - 8d - 15625

Step-by-step explanation:

Answer: $20.83

Step-by-step explanation:

7.50 = P (.12) (3)

7.50 = .36p

___

.36 ____

.36

20.83=p

Answer:

44

Step-by-step explanation:

Answer:

0.1997 or 19.97%

Step-by-step explanation:

Have taken course online (H) = 23%

Have NOT taken course online (N) = 77%

Have taken course online and don't believe they provide same value (H&D) = 61%

Have NOT taken course online and don't believe they provide same value (N&D) = 73%

The probability that a student has taken a course online given that she does not believe that online courses provide the same educational value as one taken in person is;

\(P(H|D)=\frac{P(H)*P(H\&D)}{P(H)*P(H\&D)+P(N)*P(N\&D)}\\P(H|D)=\frac{0.23*0.61}{0.23*0.61+0.77*0.73}\\P(H|D)=0.1997\)

There is a 0.1997 or 19.97% chance that she has taken an online course before.

Answer:

$73.16  (nearest cent)

Step-by-step explanation:

Gross weekly income:

= pay per hour × hours worked per week

= $10 × 13

= $130

Total taxes:

= Federal + FICA + State

= 10% + 7.65% + 3%

= 20.65%

Therefore, total taxes to pay:

= percentage of gross weekly income

= 20.65% of $130

= 0.2065 × $130

= $26.845

Realized income:

= gross weekly income - taxes - retirement plan contribution

= $130 - $26.845 - $30

= $73.155

= $73.16  (nearest cent)

Answer:

14.8g

Step-by-step explanation:

1.8 x 6 + 4

Answer:

14.8 grams

Step-by-step explanation:`

Multiply 1.8 by 6 ( = 10.8 ), then just add the amount ( 4 grams ) to 10.8. Which gives you 14.8 grams in total for the bee humming bird and the nest.

Note:

Hope this helps! Good luck. :)

To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.

The correct option is B.

The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.

Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is  x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.

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Answer:

a. 4 (or maybe like 3.5)

b. 6

Step-by-step explanation:

a. Going from x = 0 to x = 8, it is obvious that y goes down 4 or 4.5 units during this stretch. This gives an approximate slope of -3/8. With this in mind, it can be easily calculated that going the remaining distance from x = 8 to x = 10, the value of y will be approximately 4 or so.

b. A dot literally is right next to (6, 6).

The range of feasible values for the multiple coefficients of correlation is from -1 to 1.

The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.

The multiple coefficients of correlation can take values between -1 and 1.

A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.

A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.

A value of 0 indicates no linear relationship between the variables.

Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.

The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.

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Answer:

quadrants 1 and 3

Step-by-step explanation:

the quadrants start at the top right and go counterclockwise. above the x axis x is positive and to the right of the y axis y is positive. so x and y are both positive in the top right: quadrant 1. by the same logic, x and y are both negative in the bottom left: quandrant 3.

The perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

The perimeter of a Norman window can be calculated by adding the lengths of all its sides. In this case, the perimeter is given as 24 ft.

Let's break down the components of the Norman window:

- The rectangular part has two equal sides and two equal widths. Let's call the width of the rectangle "x" ft.

- The semicircle on top has a diameter equal to the width of the rectangle, which is also "x" ft.

To find the perimeter, we need to consider the lengths of all sides of the rectangle and the semicircle.

The perimeter consists of:

- Two equal sides of the rectangle, each with a length of "x" ft. So, the total length for both sides of the rectangle is 2x ft.

- The width of the rectangle, which is also "x" ft.

- The curved part of the semicircle, which is half the circumference of a circle with a diameter of "x" ft. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. So, the circumference of the semicircle is (1/2)πx ft.

To summarize, the perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

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3.14 stays the same cuz 1 is in the tenths slot

and i think the answer is right

Step-by-step explanation:

If he ran 45 minutes each day, 5 days each week, for 12 weeks, Daniel's average rate in laps per hour was 40 laps.

To calculate the average rate in laps per hour, we need to convert all of the given time measurements to hours.

First, we know that Daniel ran 45 minutes per day, which is equivalent to 0.75 hours per day (45 ÷ 60 = 0.75).

Next, we know that he ran for 5 days each week for 12 weeks, so he ran for a total of 5 x 12 = 60 days.

Therefore, his total time spent running in hours is 60 x 0.75 = 45 hours.

Finally, we know that he ran 1,800 laps in that time. To find his average rate in laps per hour, we divide the total number of laps by the total time in hours:

1,800 laps ÷ 45 hours = 40 laps per hour

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The equation of the circle in standard form passing through point T(8, 5) with center (5.5, 2) and radius sqrt(15.25) is x^2 + y^2 - 11x - 4y + 19 = 0.

To find the equation of the circle in standard form, we need to use the general equation of a circle, which is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius.

We are given that the center of the circle is (5.5, 2), so we can substitute these values for h and k:

(x - 5.5)^2 + (y - 2)^2 = r^2

We are also given that the circle passes through the point T(8, 5). This means that the coordinates of point T satisfy the equation of the circle. So we can substitute these values for x and y:

(8 - 5.5)^2 + (5 - 2)^2 = r^2

Simplifying the equation, we get:

(2.5)^2 + (3)^2 = r^2

6.25 + 9 = r^2

15.25 = r^2

Now we can substitute this value of r^2 back into the equation of the circle:

(x - 5.5)^2 + (y - 2)^2 = 15.25

Expanding and rearranging, we get:

x^2 - 11x + 30.25 + y^2 - 4y + 4 = 15.25

x^2 + y^2 - 11x - 4y + 19 = 0

So the equation of the circle in standard form is:

x^2 + y^2 - 11x - 4y + 19 = 0

Therefore, the equation of the circle passing through point T(8, 5) with center (5.5, 2) and radius sqrt(15.25) is x^2 + y^2 - 11x - 4y + 19 = 0.

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According to the given condition, we can conclude that each show is 21 minutes long.

An expression is a combination of numbers, symbols, and/or variables that represent a quantity or a set of quantities. It may include mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Expressions can be simple or complex, and they are used to represent mathematical formulas, equations, and relationships between variables.

The problem asks to find out the length of each show, given that there are 60 minutes of television time, with 18 minutes of commercials and the rest of the time divided evenly between 2 shows.

First, we need to subtract the time for commercials from the total television time to get the actual content time, which is 60 - 18 = 42 minutes.

Next, since the time is divided equally between 2 shows, we can divide the actual content time by 2 to get the length of each show. Therefore, 42 / 2 = 21 minutes per show.

Therefore, according to the given condition, we can conclude that each show is 21 minutes long.

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Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.

The time it will be until the value of the car is 2700 dollars is, 14 years.

We have,

A new car is purchased for 15600 dollars. The value of the car depreciates at 12. 25% per year.

To find the time it will be until the value of the car is 2700 dollars , we used the formula,

A = P (1 - r%)ⁿ

Here, A = 2700 dollars

P = 15600 dollars

r = 12.25% = 0.1225

Substitute all the values, we get;

2700 = 15600 (1 - 0.1225)ⁿ

0.17 = (0.88)ⁿ

Take log both side,

log 0.17 = n log 0.88

- 0.77 = n x - 0.056

n = 0.77 / 0.056

n = 13.75

n = 14 years

Therefore, the time it will be until the value of the car is 2700 dollars is, 14 years.

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Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Answer:

im to lazy to do an equation

Step-by-step explanation: