A professor is expected to cover 16 chapters in an operations management text each semester. The class is scheduled to meet for one hour three times a week for 15 weeks. One semester the professor dismisses class 30 minutes early every Monday and Friday and is able to cover only 12 chapters. What is the professor's efficiency?

Answer:

It's 18.

Step-by-step explanation:

17 plus 18 plus 19 equals 54, and the middle number is 18.

Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

0.1001 is the probability that all nine bets lose.

Here, we have,

given that,

If you choose just one number, your probability of winning is 20/80, or 0.25. Lester plays one number eight times as he sits in a bar.

we need to find the probability that all eight bets lose

now, we have,

Probability of winning in one bet = 0.25

So, we get,

Probability of losing in 1 bet = 1 - 0.25 = 0.75

So, we have,

Probability of losing in 8 bets = 0.75⁸ = 0.1001

Hence, 0.1001 is the probability that all nine bets lose.

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Answer:

1.    11,700

2.   65,700

3.   495

4.   12400

The square root of open paren x negative 3 close paren squared =

3 negative x​  negative x times the absolute value of x is greater than 0.

Let the equation be: |x−3|=3−x|x−3|=3−x

When x>3x>3, then RHS is negative, but LHS (absolute value) is never negative, hence in this case equations doesn't hold true.

When x≤3x≤3, then LHS=|x−3|=−x+3=3−x=RHSLHS=|x−3|=−x+3=3−x=RHS

x≠3x≠3

Thus,

−x|x|>0−x|x|>0, this inequality implies that x<0x<0, hence x<3x<3.

Hence option b becomes the correct option i.e, negative x times the absolute value of x is greater than 0.

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.

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Answer:

Step-by-step explanation: There are 6 equilateral triangles in a regular hexagon by connecting the opposite vertices of a regular hexagon.

Answer:

Origin is applicable for coordinate system. Distances are measured from origin and at a particular point distances are expressed in the form of coordinates.

Step-by-step explanation:

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

1/49

Step-by-step explanation:

\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} \)

Answer:

B.

Step-by-step explanation:

Answer:

AB=2 ft

ED=4.5 ft

BD=9 ft

m∠ABC=105°

m∠BCD=105°

m∠ADC=75°

Step-by-step explanation:

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

Step-by-step explanation:

7?

Answer:

3 days and 8 hours

Step-by-step explanation:

80 ÷ 24 = 3.3333333333 (you get what i mean)

3 days and .3333333333 more of a day

24 ÷ 3 = 8

8 hours

3 days and eight hours

HOPE THIS HELPS

PLZZ MARK BRAINLIEST  

Answer:

3 dozen cookies

Step-by-step explanation:

Let x = dozen of cookies using .75 cups of sugar

Equation is \(\frac{1.25}{5} = \frac{.75}{x}\)

1.25x = 5(.75)

1.25x = 3.75

x = 3 dozen cookies

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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First find the 15% of $5,200 to know how money they spend on clothing.

(15*5,200)/ 100 = $780

They budget 25% of the 15% budget amount for Evan's clothing

(25*780)/100 = 195 for each month

195*6 = $1,170 for the six-month period

The estimated totals for the six-month period is

$1,278 + $75 +$70 = $1,423

Make the subtraction between the six month period and the estimated totals for the six-month period:

$1,170 - $1,423 =-253

$253.00 is the amount that Evan have to paoy out of his own pocket.

Answer:

a = 4, p = 2, q = - 1

Step-by-step explanation:

Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.

a(x - p)² + q ← expand (x - p)² using FOIL

= a(x² - 2px + p²) + q  ← distribute parenthesis

= ax² - 2apx + ap² + q

Compare coefficients of x² term

a = 4

Compare coefficients of x- term

- 2ap = - 16, that is

- 2(4)p = - 16

- 8p = - 16 ( divide both sides by - 8 )

p = 2

Compare constant terms

ap² + q = 15 , that is

4(2)² + q = 15

16 + q = 15 ( subtract 16 from both sides )

q = - 1

Thus a = 4, p = 2, q = - 1

Answer:

y = ½x - 4

Step-by-step explanation:

Given the linear equation in point-slope form, y + 2 = ½(x - 4):

To transform the equation into its slope-intercept form, y = mx + b:

y + 2 = ½(x - 4)

Distribute ½ into the parenthesis:

y + 2 = ½x - 2

Subtract 2 from both sides:

y + 2 - 2 = ½x - 2 - 2

y = ½x - 4 ← This is the slope-intercept form.

Answer:

y=8x

Step-by-step explanation:

One way to get the answer is to divide all the y's by the x's. So:

32 divided by 4 = 8

72 divided by 9 = 8

112 divided by 14= 8

So: in order to get y we must multiply the x by 8

Hope this helps!

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

f(25)= 3

f(-66)= -4

right ^^^^

The value of f(25) and f(-66) are 3 and -4 respectively

Given the function below:

\(f(x) = \sqrt[3]{x+2}\)

To get the value of f(25), we will substitute x = 25 into the function to have:

\(f(25) = \sqrt[3]{25+2}\\f(25) = \sqrt[3]{27}\\f(25) = 3\)

Similarly for f(-66)

\(f(-66) = \sqrt[3]{-66+2}\\f(-66) = \sqrt[3]{-66}\\f(-66) = -4\)

Hence the value of f(25) and f(-66) are 3 and -4 respectively

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Answer: l=\(\frac{1}{2}\) p−w

Step-by-step explanation: Step 1: Flip the equation.

2l+2w=p

Step 2: Add -2w to both sides.

2l+2w+−2w=p+−2w

2l=p−2w

Step 3: Divide both sides by 2.

\(\frac{2l}{2}\) = \(\frac{p−2w}{2}\)

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

A. x= 13/12, y = -3/4

Explanation:

Given the system of equations:

First, the two linear functions are graphed using a calculator:

The solution to the system of equations is the point where the two lines intersect.

From the graph, the point where the two lines intersect is:

Thus, the solution to the system is:

Option A is correct.

Answer:

8/21

Step-by-step explanation:

Area of a rectangle is L*W so for only the shaded bits of the rectangle the length (1/7*4) would be 4/7 and the width would be (1/3*2) so 2/3. then you would multiply them togehter by finding multiplying the bottoms togther  and the tops together (4*2)/(7*3) this gives 8/21. Hope this helps!!

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

Answer:

\(-33c+22d\)

Step-by-step explanation:

\(-11(3c-2d)\\\\(-11)(3c)+(-11)(-2d)\\\\-33c+22d\)

The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.

What is equation of straight line ?

Equation of straight line can be as follows, y = mx +b

where m is a slope of line.

Given,

To find , The cost, C, in dollars for advertising on a social networking website is proportional to the number n] of clicks on the advertisement.

When a business is charged $108.50 for 310 clicks on its advertisements.

The cost, C, and number of clicks, n, are related by the equation

C = k * n, where k is the constant of proportionality.

From the given information, we know that C = $108.50 when n = 310. We can use this information to find the value of k:

$108.50 = k * 310

Solving for k:

k = $108.50 / 310

k = $0.35

So, the equation for the relationship between cost and clicks is:

C = $0.35 * n

Therefore, The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.

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Answer:

Step-by-step explanation:

lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!

#keep learning!!

Answer:

Here is your Answer : )

Step-by-step explanation:

1. experiment

2. survey

3.  Interview

4. observation

5. questionnaire

6. Data collection

7. Schedule

8. Manager

9. primary data

10. Primary data

Plz mark as brainiest this took long time

Hope U like it : )