Select the correct answer from each drop-down menu.
Trapezoids 1 and 2 are plotted on the coordinate plane. Are they similar?
-8 -6
Trapezoid 1
8
6
2-
-4-20
2-
N
6
X
similar to trapezoid 2 because trapezoid 1
cannot be
Res can be
mapped onto trapezoid 2 by a series of transformations.
Text

The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).

Given the expression in the question:

q² - 4

To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.

The difference of squares formula states that :

a² - b² can be factored as (a + b)(a - b).

Given that:

q² - 4

Replace 4 with 2²
q² - 2²

From this expression, let a = x and b = 2

a² - b² =  (a + b)(a - b)

q² - 2² = (q + 2)(q - 2)

Therefore, the factored form is (q + 2)(q - 2).

Learn more about the difference of squares here: https://brainly.com/question/30186712

#SPJ1

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

Learn more about manufacturing efficiency here:

https://brainly.com/question/29645032

#SPJ1

A) The   probability of being shortlisted for interviews  -  1/5

B) The probability of being shortlisted for interviews and employed as the managing director  -  1/10

C) The probability of being employed as managing director, given that the applicant has been shortlisted  -  1/10

D) The probability of being shortlisted and not employed as managing director  -  9/10

E) The probability of not being shortlisted for interviews  -  4/5

A. Shortlisted for interviews

The probability that an applicant selected at random will be shortlisted for interviews is 10/50 = 1/5.

B. Shortlisted for interviews and employed as the managing director

There is only one managing director position, and 10 applicants were shortlisted for interviews.

So, the probability that an applicant selected at random will be shortlisted for interviews and employed as the managing director is 1/10.

C. Employed as managing director, given that he has been shortlisted for interviews

By definition of conditional probability,

p(M|S) = p(M\cap S)/p(S)

=(1/50)/(1/5)

=1/10.

D. Shortlisted and not employed as managing director

The probability that an applicant selected at random will be shortlisted and not employed as managing director is 9/10.

This is because there are 9 applicants who were shortlisted for interviews but not employed as managing director.

E. Not shortlisted for interviews

The probability that an applicant selected at random will not be shortlisted for interviews is

40/50 = 4/5.

This is because 40   applicants were not shortlistedfor interviews.

Learn more about probability at:

https://brainly.com/question/24756209

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

A company advertised for a position of managing director the number of applications for position were 50 ,out which 10 were shortlisted for interview,. Determine the probability that an applicant selected at random will be :

A, shortlisted for interviews

B, shortlisted for interviews and employed as the managing director

C , employed as managing director, given that he has been shortlisted for interviews

D, shortlisted and not employed as managing director

E, not shortlisted for interviews.

The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:

sin(0) = √3/2

cos(0) = -1/2

tan(0) = -√3

csc(0) = 2/√3

sec(0) = -2

cot(0) = -1/√3

To sketch an angle in standard position, we start by placing the initial side along the positive x-axis. Since we want the angle with the least possible positive measure, we choose the smallest positive angle, which is 0 degrees or 0 radians.

Next, we plot the point (-2, √3) on the terminal side of the angle. This point lies in the third quadrant of the coordinate plane. We draw a line segment from the origin to this point, representing the terminal side of the angle.

To find the values of the trigonometric functions, we can use the coordinates of the point (-2, √3) to determine the side lengths of a right triangle. The x-coordinate (-2) represents the length of the adjacent side, and the y-coordinate (√3) represents the length of the opposite side. The hypotenuse can be found using the Pythagorean theorem.

Using the values of the sides, we can calculate the trigonometric functions:

sin(0) = opposite/hypotenuse = √3/2

cos(0) = adjacent/hypotenuse = -1/2

tan(0) = opposite/adjacent = -√3

csc(0) = 1/sin(0) = 2/√3

sec(0) = 1/cos(0) = -2

cot(0) = 1/tan(0) = -1/√3

The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:

sin(0) = √3/2

cos(0) = -1/2

tan(0) = -√3

csc(0) = 2/√3

sec(0) = -2

cot(0) = -1/√3

For more such questions on trigonometric functions

https://brainly.com/question/1143565

#SPJ8

The accurate description of the scatterplot would be: "Lower high school GPAs correlate to lower college GPAs, with one exception of a low high school GPA and high college GPA."

The correct answer is D.

For such more questions on scatterplot

https://brainly.com/question/29366075

#SPJ8

The universal set for sets A, B, and C is {0, 1, 2, 3, 4, 5, 6, 8}.

The universal set is the set that contains all the elements under consideration. In this case, we have three sets: A, B, and C. To determine the universal set for all three sets, we need to identify the set that includes all the unique elements from each of the individual sets.

Set A contains the elements {1, 3, 5}, Set B contains the elements {2, 4, 6}, and Set C contains the elements {0, 2, 4, 6, 8}. To form the universal set, we need to combine all these elements without any repetition.

By observing the elements in Sets A, B, and C, we can see that the universal set would be the set that includes all the unique elements from these sets. Therefore, the universal set for all three sets is the set that contains {0, 1, 2, 3, 4, 5, 6, 8}.

This means that any element that is present in at least one of the sets A, B, or C is included in the universal set. It covers all the possible elements that can be found in these sets.

for such more question on universal set

https://brainly.com/question/14532771

#SPJ8

Question

If set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then write the universal set for all three sets.

The following are the solutions to the given problem:A. Cost of Equity Capital:Given,Beta of the firm = 1.00Risk-Free Rate (Rf) = 3.5%Equity Risk Premium = 6%Cost of Equity (Re) = Rf + Beta*(Equity Risk Premium)Re = 3.5% + 1.00(6%)Re = 9.5%B. After-Tax Cost of Debt:Given,

Pre-tax cost of debt = 4.5%Tax rate = 40%

After-tax cost of debt (Rd) = Pre-tax cost of debt x (1 - Tax Rate)Rd = 4.5% x (1 - 0.40)Rd = 2.7%C. Weighted Average Cost of Capital (WACC):Given,

Weightage of Equity (We) = 100 million shares / 100 million shares + 250 million of debtWe = 28.57%Weightage of Debt (Wd) = 250 million of debt / 100 million shares + 250 million of debt

Wd = 71.43%WACC = (We x Re) + (Wd x Rd)WACC = (28.57% x 9.5%) + (71.43% x 2.7%)WACC = 3.91%D. Cost of Equity after Restructuring:Given,New Default Spread = 3 x Old Default SpreadOld Default Spread = 2.7% - 3.5%Old Default Spread = -0.8%New Default Spread = 3 x -0.8%

New Default Spread = -2.4%New After-tax Cost of Debt (Rd) = 2.7% + (-2.4%)Rd = 0.3%New Weightage of Debt (Wd) = 750 million of debt / 100 million shares + 750 million of debt

Wd = 88.24%New Weightage of Equity (We) = 100 million shares / 100 million shares + 750 million of debtWe = 11.76%New Cost of Equity (Re) = 9.5%Re = 9.5%New WACC

= (We x Re) + (Wd x Rd)New WACC = (11.76% x 9.5%) + (88.24% x 0.3%)New WACC = 0.53%E. After-tax Cost of Debt after Restructuring:Given,

New After-tax Cost of Debt (Rd) = 0.3%F. WACC after Restructuring:New WACC = 0.53%G. Value (Price) per Share for the Remaining Shareholders in the Company:Given,

New Shares = 500 million / $11 per share = 45,454,545 shares New Equity Shares = 100 million shares + 45,454,545 shares = 145,454,545 shares Value of Equity = 145,454,545

shares x $11 per shareValue of Equity = $1,600,000,000Value per Share for the Remaining Shareholders in the Company = $1,600,000,000 / 100 million sharesValue per Share for the Remaining Shareholders in the Company = $16.00 per share.

for such more question on Equity

https://brainly.com/question/30397975

#SPJ8

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

Learn more on insurance :https://brainly.com/question/30291521

#SPJ1

Let the time spent practicing math be x minutes. Since Pam spends 20 minutes longer practicing dance than math, she spends (x + 20) minutes practicing dance. Therefore, the total time spent practicing math and dance is

:x + (x + 20) = 2x + 20

Since she spends 80 minutes every day practicing math and dance, we can create an equation as follows:2x + 20 = 80To find the value of x, we need to solve the equation

.2x + 20 = 80

Subtract 20 from both sides of the equation

:2x = 60

Divide both sides by

2:x = 30

Therefore, Pam spends 30 minutes practicing math every day.Part B: Pam spends 30 minutes practicing math every day. To find the total time she spends practicing dance, we can use the fact that she spends 20 minutes longer practicing dance than math. Therefore, she spends:

30 + 20 = 50 minutes

practicing dance every day.Part C: It is not possible for Pam to have spent 60 minutes practicing dance if she practices for a total of exactly 80 minutes and dances for 20 minutes longer than she works on her math. If Pam spends 30 minutes practicing math every day, then she spends 50 minutes practicing dance. Therefore, the total time she spends practicing math and dance is

:30 + 50 = 80

Since the total time spent practicing math and dance is exactly 80 minutes, it is not possible for Pam to have spent 60 minutes practicing dance.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

The slope of AB is given by:(0 - (-1/2x - 5/2)) / (0 - x)= 1/2

Given that the slope of BC is -1/2. We need to find the slope of AB.

Slope of a line can be defined as the ratio of the change in y-coordinate to the change in x-coordinate between any two distinct points on the line.

Let us consider the coordinates of point B as (x, y)Coordinates of point C can be obtained by moving 3 units to the right from point B.

Therefore, coordinates of point C are (x+3, y+1).Since the slope of BC is -1/2, we can say that:(y+1 - y) / (x+3 - x) = -1/2y + 1 = -1/2(x + 3)y = -1/2x - 5/2Therefore, the coordinates of point B are (x, -1/2x - 5/2).

Point A lies on the x-axis. Therefore, its y-coordinate is zero. Therefore, the slope of AB is given by:(0 - (-1/2x - 5/2)) / (0 - x)= 1/2

For more such questions on slope of AB

https://brainly.com/question/19000112

#SPJ8

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

a) The operating costs can be computed using multiplication and addition as follows:

Depreciation costs = $590

Repairs & Maintenance = $230

Gas & Oil = $280

Insurance = $230

Federal and State Taxes and Levies = $110

Total operating costs = $1,440

b) The depreciation for this vehicle using method 2 will be $590.

The operating costs and depreciation are computed using the mathematical operations of multiplication and addition.

The depreciation cent per mile = 5.9 cents = 0.059 (5.9/100)

The miles driven = 10,000

Year driven = third

Depreciation costs = $590 ($0.059 x 10,000)

Repairs & Maintenance = $230 ($0.023 x 10,000)

Gas & Oil = $280 ($0.028 x 10,000)

Insurance = $230 ($0.023 x 10,000)

Federal and State Taxes and Levies = $110 ($0.011 x 10,000)

Total operating costs = $1,440 ($0.144 x 10,000)

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

The other number is 4, 658

Algebraic expressions are described as expressions that are made up of terms, variables, constants and factors.

These algebraic expressions are also made up of arithmetic operations such as;

From the information given, we have that;

sum of 2 number is 34,678

If one of the number is x and the other is 30, 020

Then, we have that;

x + 30,020 =34, 678

collect the like terms, we have;

x = 34, 678 - 30, 020

x = 4, 658

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

probability : 4/7 ≈ 0.57

Step-by-step explanation:

b₁ = 3 + 4 + 3 = 10

b₂ = 4

h² = 5² - 3² = 4²

⇒ h = 4

Ar of trapezium = [tex]\frac{b_1 + b_2}{2}h[/tex]

[tex]\frac{10 + 4}{2} 4\\\\= 14*2\\\\= 28[/tex]

Ar of shaded region = h² = 4² = 16

Probability that the point lies on the shaded region = [tex]\frac{Ar \;of \;shaded \;region }{Ar\; of\; total \;region }[/tex]

= 16/28

= 4/7

≈ 0.57

Answer:

Whats the question?

The statement for the function of random variable "The density of Y can be found by differentiating the CDF of Y" is false.

The density of a random variable can be found by differentiating its CDF, but only if the random variable is continuous. The random variable X in this case is discrete, so its density cannot be found by differentiating its CDF.

The CDF of a discrete random variable is a step function, which means that it has a jump discontinuity at each point where the value of the random variable changes.

The derivative of a step function is a Dirac delta function, which is a mathematical object that represents a point mass at a specific value. The density of a discrete random variable is the sum of the Dirac delta functions at each point where the value of the random variable changes.

In this case, the CDF of Y is a step function, so its derivative is a Dirac delta function. The density of Y is the sum of the Dirac delta functions at each point where the value of Y changes. However, the value of Y can only change at integer values, so the density of Y is a discrete function, not a continuous function.

Find more exercises on random variables;

https://brainly.com/question/33533844

#SPJ1

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

Learn more about angle bisector here: brainly.com/question/28565813

#SPJ1

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ8

The function with the steepest slope is [tex]y = 7x - 3[/tex].

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

[tex]y = -8x + 5[/tex]

Slope: -8

[tex]y - 9 = -2(x + 1)[/tex]

Simplifying, we get [tex]y - 9 = -2x - 2[/tex]

Rearranging, we have [tex]y = -2x + 7[/tex]

Slope: -2

[tex]y = 7x - 3[/tex]

Slope: 7

[tex]y + 2 = 6(x + 10)[/tex]

Simplifying, we get [tex]y + 2 = 6x + 60[/tex]

Rearranging, we have [tex]y = 6x + 58[/tex]

Slope: 6

Therefore, the steepest slope is the [tex]y = 7x - 3[/tex].

For such more questions on steepest slope

https://brainly.com/question/10726891

#SPJ8

The equivalent expression is [tex]X^5 * Y^{(-4)} - 2.[/tex]

The expression can be simplified as follows:

[tex]X^(-4) * Y / (X^{(-9)} * Y^5) - 2[/tex]

To simplify this expression, we can use the properties of exponents. When dividing terms with the same base, we subtract the exponents:

[tex]X^{(-4)} / X^{(-9)} = X^{(-4 - (-9))} = X^5[/tex]

Similarly, when dividing terms with the same base, we subtract the exponents:

[tex]Y^1 / Y^5 = Y^{(1 - 5)} = Y^{(-4)}[/tex]

Substituting these simplifications back into the expression:

[tex]X^5 * Y^{(-4)} - 2[/tex]

So, the equivalent expression is [tex]X^5 * Y^{(-4)} - 2.[/tex]

Learn more about expression at https://brainly.com/question/1859113

#SPJ1

Answer:74

Step-by-step explanation:

DCB arc's degree is equal to 2*<DAB so,

arc DCB=106*2=212 degrees

cicle is 360 degrees total, so,

360-212=148 degrees

and it is arc DAB which is arc for <DCB and same rule applies here:

arc DAB=2*<DCB

<DCB=DAB/2=148/2=74

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

for such more question on Texan forces

https://brainly.com/question/11457190

#SPJ8

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Therefore, the length of the photo after the enlargement is 9 inches.

The initial length of the photo is given as 4 inches. After the enlargement, the length becomes 5 more inches. To find the final length, we can add 5 inches to the initial length.

Initial length of the photo: 4 inches

Additional length after enlargement: 5 inches

Final length = Initial length + Additional length

Final length = 4 inches + 5 inches

Final length = 9 inches

For such more question on enlargement

https://brainly.com/question/30241242

#SPJ8

Answer: Triangle C only

Step-by-step explanation: using the formula to find out if the triangle are right angle (a^2+b^2=c^2) the legs are supposed to equal to the hypotenuse. A and B arentaren't equal to the hypotenuse