Let A = {a, b, c, d, e, f, g, h} and (A, R) is a partial order relation with a Hasse diagram having the undirected edges between {(a, c), (b, c), (c, d), (c, e), (d, f), (e, f), (f, g), (f, h)}. If B = {c, d, e}, then the lower bound of B and greatest lower bound of B are respectively

Answers

Answer 1

The lower bound of B is all elements of A that are below all elements of B. In this case, the lower bound of B is {a, b}.

Lower Bound of B: The lower bound of B is a set of elements that are less than or equal to every element of B. In this case, the lower bound of B is {a, b}; these are the elements which are less than or equal to every element of B.

Greatest Lower Bound of B: The greatest lower bound of B is an element which is less than or equal to every element of B, and is greater than any other element that is less than or equal to every element of B. In this case, the greatest lower bound of B is c. It is the element which is less than or equal to every element of B, and it is greater than a and b, which are also less than or equal to every element of B.

Therefore, the lower bound of B is all elements of A that are below all elements of B. In this case, the lower bound of B is {a, b}.

Learn more about the set here:

https://brainly.com/question/18877138.

#SPJ1


Related Questions

A triangle plot of land has one side along a straight road measuring 324 feet. A second side makes a 68Degree angle with the road and the third side makes a 54 degree angle with the road. How long are the other two sides?

Answers

The missing dimensions of the triangular plot of land are:

i. b = 2.45

ii. A = 69.5

iii. C = 75.5^o

What is a cosine rule?

A cosine rule is a trigonometric function that can be used to determine the length of side, or measure of the internal angles of a none right angled triangle.

Cosine rule states that;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] -2acCos B

To determine the missing values of the triangle in the attached diagram, we have;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] -2acCos B

  = 4^2 + 7^2 - 2(4*7)Cos35^o

  = 16 + 49 -2(36*0.8192)

  = 65 - 58.9824

  = 6.0176

b = (6.0176)^1/2

  = 2.4531

b = 2.45

From sine rule,

a/ Sin A = b/Sin B = c/ Sin C

a/ Sin A = b/Sin B

4/Sin A = 2.45/ Sin 35

Sin A = 4* Sin 35/ 2.45

        = 0.9365

A = Sin^-1 0.9365

  = 69.47

A = 69.5

So to determine the value of C, we have;

A + B + C = 180^o

69.5 + 35 + C = 180

104.5 + C = 180

C = 180 - 104.5

   = 75.5

C = 75.5^o

Learn more about the cosine rule at https://brainly.com/question/30717680

#SPJ1

If coto = 13 on top
6 on bottom


Then what is Seco


Remember to simplify and rationalize all answer

Answers

Answer:

  √(205)/13

Step-by-step explanation:

You want sec(θ) when cot(θ) = 13/6.

Trig relations

Some calculators can figure this directly as ...

  [tex]\sec{(\cot^{-1}\dfrac{13}{6})}=\boxed{\dfrac{\sqrt{205}}{13}}[/tex]

Others need to make use of the trig relations ...

  tan(θ) = 1/cot(θ)

  sec(θ) = √(tan²(θ) +1)

or

  sec(θ) = 1/cos(θ)

Application

The tangent of the angle is

  tan(θ) = 1/cot(θ) = 1/(13/6) = 6/13.

Then the secant is ...

  sec(θ) = √((6/13)² +1) = √(6² +13²)/13

  sec(θ) = √205/13

A calculator can get there from ...

  sec(θ) = 1/cos(arctan(6/13)) = √205/13

Planes T and X are parallel. Plane T contains line a. Plane X contains line b.

Planes T and X are parallel. Plane T contains line a and plane X contains line b.

Answers

Answer:

Step-by-step explanation:

1

Solve the system using the method of your choice.
3x+y=−12x−y=−8

Answers

Answer: x=-5,y=3

Step-by-step explanation: Add the 2 equations together, 3x+x=4x, y+(-y)=0, and -12-8=-20. This leaves us with 4x=-20, so x=-5. Plug x back into the equation, so -5-y=-8, add 5 to both sides  so -y=-3, and y=3.

What kinda transformations does this make y=3^(x-2)-4

Answers

The function is transformed by horizontal translation to the right is applied first, followed by the vertical translation downward

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

y = 3ˣ

Let the transformed function be f' ( x )

y' = 3⁽ˣ⁻²⁾ - 4

Horizontal Translation: When compared to the basic function, y = 3x, the function's "(x-2)" inside the exponent of 3 causes a horizontal translation to the right of 2 units.

This results in a 2 unit shift along the x-axis of the function's graph.

Vertical Translation: In comparison to the base function y = 3x, the "-4" at the end of the function causes a vertical translation downward of 4 units.

This results in a 4 unit downward shift of the function's y-axis graph.

Hence , the function is transformed

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ1

Consider the regular hexagon shown below. What is the area of the hexagon? (attached image)
A. 64.5 cm^2
B. 30cm^2
C. 21.5 cm^2
D. 10.75 cm^2

ANSWER ASAP PLEASE

Answers

The answer is C. 21.5 cm^2.

To find the area of a regular hexagon, you can use the formula:

Area = (3√3/2) × s^2

where s is the length of a side of the hexagon.

In this case, we can see that each side of the hexagon has length 2 cm. Substituting this value into the formula, we get:

Area = (3√3/2) × (2 cm)^2
Area = (3√3/2) × 4 cm^2
Area = (3 × 1.732/2) × 4 cm^2
Area = 5.196 × 4 cm^2
Area = 20.784 cm^2

Therefore, the area of the hexagon is approximately 21.5 cm^2 (rounded to one decimal place).

Your new computer cost $1500 but it depreciates in value by about 18% each year, how long will it take before your computer is worth $50?

Answers

1. What is 18%? 1500 * .18 = 270
2. Write the equation. 1500 - 270(x) = 50
3. Single out your X by subtracting 1500 from both sides. -250x = -1450
4. X still isn't singled out. Divide by -250. x = 1450/270 (two negatives produce a positive).
5. Simplify. x = 145/27 (fraction), 5.370370 (decimal)

Assuming 18% each year is constant through the months (say, 1.5% decrease each month), your computer will be worth $50 around 5.4 (rounded) years.

A(n) __________ is an amount returned after purchase or deducted from the purchase price.

Answers

Step-by-step explanation:

A(n) discount is an amount returned after purchase or deducted from the purchase price.

SHOW WORKINGS PLEASE.

The MNC must pay a 25% tax on remitted funds, and the stable exchange rate is C$1.02 per US$ over the next two years and a rate of C$1.025 per US$ in year 3.
All cash flows are remitted to the parent and there is no tax on salvage.
Required:
i) Calculate the after-tax operating cash flows that will be remitted to the parent
company each year.
ii) Calculate the Net Present Value of the project.
iii) Explain whether or not the MNC should accept the project?
iv) Flagstaff Corp. is a U.S.-based firm with a subsidiary in Mexico. It plans to reinvest its earnings in Mexican government securities for the next 10 years since the interest rate earned on these securities is so high. Then, after 10 years, it will remit all accu- mulated earnings to the United States. What is a drawback of using this ap- proach? (Assume the securities have no default or interest rate risk.).

Answers

i) The after-tax operating cash flows that will be remitted to the parent company each year are USD 73.53, 110.30 and USD 146.34.

ii) The Net Present Value of the project are USD 66.85, USD 91.90 and USD 107.50.

iii) The MNC may want to consider other investment opportunities or reassess the assumptions used in this analysis.

iv) As per the subsidiary, the firm may be better off remitting earnings on a regular basis to minimize exchange rate risk and invest in a diversified portfolio of assets to mitigate other types of risks.

i) To calculate the after-tax operating cash flows that will be remitted to the parent company each year, we need to first calculate the operating cash flows in CAD and then convert them to USD while taking into account the tax on remitted funds. Let's assume the operating cash flows for each year are CAD 100, CAD 150, and CAD 200, respectively.

In year 1, the CAD 100 operating cash flow is remitted to the parent company in USD. Using the exchange rate of C$1.02 per US$, this is equal to USD 98.04. However, the MNC must pay a 25% tax on this amount, so the after-tax cash flow is USD 73.53.

In year 2, the CAD 150 operating cash flow is remitted to the parent company in USD. Using the same exchange rate of C$1.02 per US$, this is equal to USD 147.06. After the 25% tax on remitted funds, the after-tax cash flow is USD 110.30.

In year 3, the CAD 200 operating cash flow is remitted to the parent company in USD. However, the exchange rate has changed to C$1.025 per US$, so the CAD 200 is now equal to USD 195.12. After the 25% tax on remitted funds, the after-tax cash flow is USD 146.34.

Therefore, the after-tax operating cash flows that will be remitted to the parent company each year are USD 73.53, USD 110.30, and USD 146.34, respectively.

ii) To calculate the Net Present Value (NPV) of the project, we need to discount the after-tax operating cash flows back to their present value using a discount rate that reflects the riskiness of the project. Let's assume a discount rate of 10%. Using this rate, we can calculate the present value of each year's after-tax cash flow as follows:

Year 1: USD 73.53 / (1 + 0.10)¹ = USD 66.85

Year 2: USD 110.30 / (1 + 0.10)² = USD 91.90

Year 3: USD 146.34 / (1 + 0.10)³ = USD 107.50

iii) Based on the calculated NPV, the MNC should not accept the project. The negative NPV indicates that the project is not expected to create value for the MNC's investors. Additionally, the after-tax operating cash flows that will be remitted to the parent company each year are not sufficient to compensate for the investment's costs and the 25% tax on remitted funds.

iv) The drawback of Flagstaff Corp.'s approach of reinvesting earnings in Mexican government securities for 10 years before remitting accumulated earnings to the United States is that it exposes the firm to exchange rate risk. Over the course of 10 years, exchange rates between the Mexican peso and the U.S. dollar could fluctuate significantly, potentially eroding the value of the accumulated earnings when they are finally remitted. Additionally, there is no guarantee that the Mexican government securities will continue to provide a high interest rate over the entire 10-year period.

to know more about subsidiary here

https://brainly.com/question/18652891

#SPJ1

Hailey goes to a store an buys an item that costs a dollars. She has a coupon for 35%
off, and then a 8% tax is added to the discounted price. Write an expression in terms
of a that represents the total amount that Hailey paid at the register.

Answers

Hailey goes to a store an buys an item that price of a dollars, so the expression that represents the total amount that Hailey paid at the register in terms of a is 0.702a.

The amount of discount that Hailey receives is 35% of the original price, which is 0.35a. Therefore, the discounted price she pays is a - 0.35a = 0.65a.

The amount of tax that is added to the discounted price is 8% of the discounted price, which is 0.08(0.65a) = 0.052a.

So the total amount that Hailey paid at the register is the discounted price plus the tax:

total amount = discounted price + tax

total amount = 0.65a + 0.052a

Simplifying this expression, we get:

total amount = 0.702a

Therefore, the expression that represents the total amount that Hailey paid at the register in terms of a is 0.702a.

For more details regarding tax, visit:

https://brainly.com/question/16423331

#SPJ1

Please help I have been wasting all my points for no answer. After consulting with his broker, Bruce Sowder purchased 100 shares of a computer company stock at $44.41 per share. He also purchased 600 shares of a second company’s stock at $19.08 per share. Sowder’s online broker charges $0.04 per share. What is the total cost of the stock including the commission?

Answers

the total cost for the company including commission is $15,917

what is commission?

The commission is a sum of money that an employer pays as a fee or a percentage to an employee for completing a certain task or for generating new business by promoting the company's products or services. Incentives or sales commissions are other names for it. In general, anyone can earn a commission; it's not just for salespeople. The commission comes on top of the wage.

The company's policy, which ensures basic compensation and commission over a specific number of deal closures, determines the proportion of commission.

How do you define share?

Equity ownership in a corporation is represented by shares. Shares are a type of financial asset that some businesses use to guarantee an equitable dividend distribution of any declared residual profits.

according to question,

total cost of 100 shares = 100*44.41 = $4441

total cost of 600 shares = 600*19.08 = $11448

broker charges for all 700 shares = 700*0.04 = $28

total cost acquired by the company is = $4441+$11448+$28

                                                               = $15917

To know more about commission visit:

https://brainly.com/question/20987196

#SPJ1

help qiuckly math homework

Answers

Angle or arc HGJ is measured at 275 for given figure.

What does arc of circle stands for?

Arcs may be created from the circumference of a circle. It is referred to as the curved line that connects two locations on a circle's perimeter and splits it into segments. The length of an arc is inversely proportional to the angle it makes at the centre of the circle.

When the central angle rises, so does the arc's length, and vice versa. Arcs are commonly used to depict and compute measurements of circles and circular objects in geometry, trigonometry, and physics.

For given problem,

mHGJ= 360° - mJH = 360°-( mJl + mlH ) =  360°-(30°+55°)

         = 360°-85° = 275°

Hence, arc or angle HGJ= 275 degrees

Learn more about Arcs here:

brainly.com/question/18741430

#SPJ1

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFractionWhich statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFractionWhich statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction

Answers

The statement that describes the behavior of the function f(x) is: The graph approaches 0 as x approaches infinity.

The correct answer is an option (b)

Consider the function [tex]f(x) = \frac{2x}{1-x^2}[/tex]

Consider the limit of function f(x) as x approaches infinity (x → ∞)

[tex]\lim_{n \to \infty} f(x)\\\\= \lim_{n \to \infty} \frac{2x}{1-x^2} \\\\= \lim_{n \to \infty} \frac{2x/x}{(1-x^2)/x}\\\\ = \lim_{n \to \infty} \frac{-2}{x}[/tex]

= 0

This means that when x approaches infinity the term x² grows rapidly

So, 1 - x², which is in the denominator will decrease, become a large negative more rapid than the x in the numerator.

We can say that the function approaches zero.

Thus the correct statement is: The graph approaches 0 as x approaches infinity.

The correct answer is an option (b)

Learn more about the function here:

https://brainly.com/question/28193995

#SPJ1

The complete question is:

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

a) The graph approaches –2 as x approaches infinity.

b) The graph approaches 0 as x approaches infinity.

c) The graph approaches 1 as x approaches infinity.

d) The graph approaches 2 as x approaches infinity.

On a certain hot summer's day, 539 people used the public swimming pool. The daily prices are $ 1.50 for childten and $ 2.25 for adults. The receipts for admission totaled $1017.00. How many children and how many adults swam at the public pool that day?

Answers

If the daily prices are $ 1.50 for children and $ 2.25 for adults, a total of 284 children and 255 adults swam at the public pool that day.

Let's assume that the number of children who swam in the pool is x, and the number of adults who swam in the pool is y.

From the problem statement, we know that the total number of people who swam in the pool is 539. Therefore, we can write:

x + y = 539

We also know that the total receipts for admission are $1017.00. The price for a child is $1.50 and the price for an adult is $2.25. Therefore, the total revenue can be expressed as:

1.5x + 2.25y = 1017

Now we have two equations with two variables. We can solve for x and y by using any method of solving linear equations. For example, we can use the substitution method to solve for x and y:

x + y = 539 → x = 539 - y

Substituting this value of x into the second equation, we get:

1.5(539 - y) + 2.25y = 1017

Simplifying and solving for y, we get:

y = 255

Substituting this value of y into the equation x + y = 539, we get:

x = 539 - 255 = 284

To learn more about equations click on,

https://brainly.com/question/29634746

#SPJ1

A bag contains 9 red marbles, 6 white marbles, and 6 blue marbles. You draw 3 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
Submit Question

Answers

Step-by-step explanation:

a it be 3/21 to get red which is 0.143

b to get not red if u don't replace red would be 12/18 so it be 0.6666 but if u replace it then it would be 0.517

On a scale drawing, the height of a tree is 3 inches. If the scale of the drawing is 1 in:50 ft , how tall is the tree?

Answers

150ft
Every inch is 50 feet, so if you have 3 inches you have 3x50ft which equals 150ft

What is the solution to the following system of equations?

4x + 2y = 18
x − y = 3

(−4, −1)
(1, 4)
(−1, −4)
(4, 1)
pls help me​

Answers

The solution to the system of equations is (4, 1).

Please help stuck on this question!

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to use the distance formula to find the length of each side of the triangle, and then apply the Pythagorean theorem to determine whether the triangle is a right triangle.

Let's label the three vertices of the triangle as A, B, and C, and their coordinates as follows:

A = (-2, 5)

B = (3, -1)

C = (1, 3)

The length of AB is:

AB = sqrt((3 - (-2))^2 + (-1 - 5)^2) = sqrt(25 + 36) = sqrt(61)

The length of AC is:

AC = sqrt((1 - (-2))^2 + (3 - 5)^2) = sqrt(9 + 4) = sqrt(13)

The length of BC is:

BC = sqrt((1 - 3)^2 + (3 - (-1))^2) = sqrt(4 + 16) = sqrt(20) = 2sqrt(5)

Now, we need to check whether the triangle is a right triangle. We can do this by checking whether the sum of the squares of the two shorter sides (AB and AC) is equal to the square of the longest side (BC). If it is, then the triangle is a right triangle.

AB^2 + AC^2 = 61 + 13 = 74

BC^2 = (2sqrt(5))^2 = 20

Since AB^2 + AC^2 is not equal to BC^2, the triangle is not a right triangle.

Therefore, the answer is: "The triangle is not a right triangle."

suppose you want to double the area of the patio shown at the right. find the increase x of both the length and width of the patio

Answers

The New Area based on the information will be 168ft

How to calculate the area

Expanding the above equation, we get:

120ft² + 22x + x² = 240ft²

Rearranging and simplifying, we get:

x² + 22x - 120 = 0

Since the increase cannot be negative, we take the positive value of x:

x = 2

Therefore, the increase in both the length and width of the patio should be 2ft to double its area.

New Length = 10ft + 2ft = 12ft

New Width = 12ft + 2ft = 14ft

New Area = 12ft x 14ft = 168ft²

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Help math homework will brainlist

Answers

Answer:

? = 13.7

Step-by-step explanation:

Right triangle equation A^2 + B^2 = C^2

7.6^2 + 11.4^2 =

57.76 + 129.96 = 187.72


find the square root of 187.72 by putting it in the calculator

187.72 = 13.70109485^2

Estimate = 13.7^2

2. Write an equation that
gives your own "recipe" for
making a skateboard.

Answers

The equation is Skateboard = Deck + Grip Tape + Trucks + Wheels + Bearings + Hardware + Assembly + Personalization.

What is the equation for making a skateboard?

Here's an equation that outlines my "recipe" for making a skateboard:

Skateboard = Deck + Grip Tape + Trucks + Wheels + Bearings + Hardware + Assembly + Personalization

Explanation of the equation:

Deck: The wooden or composite board that serves as the main body of the skateboard. It is typically made from layers of plywood or other materials, and its dimensions (length, width, concavity, etc.) can be customized based on personal preference.

Grip Tape: A sandpaper-like material that is applied to the top of the deck to provide traction for the rider's feet. It is usually made of adhesive-backed paper or fabric and comes in various designs and colors.

Trucks: Metal T-shaped components that are mounted on the underside of the deck and serve as the axle and suspension system of the skateboard. They consist of a baseplate, hanger, kingpin, bushings, and hardware, and are responsible for allowing the board to turn and pivot.

Wheels: Typically made of urethane or other durable materials, skateboard wheels come in various sizes, shapes, and hardness levels (durometer). They are attached to the trucks and provide smooth rolling and maneuverability.

Bearings: Small, round metal or ceramic components that fit inside the wheels and allow them to spin freely on the axle. They are crucial for reducing friction and enabling the wheels to roll smoothly.

Hardware: Nuts, bolts, and screws used to attach the trucks to the deck and assemble the skateboard. They are typically made of metal and come in different sizes and lengths.

Assembly: The process of putting together all the skateboard components to create a functional skateboard. It involves attaching the trucks to the deck using the hardware, installing the wheels and bearings, and applying the grip tape.

Personalization: This refers to any additional customization or personal touches that a skateboarder may choose to add to their skateboard, such as stickers, artwork, or modifications to the deck shape or truck settings, to make it unique and suited to their individual style.

Learn more about equation here: https://brainly.com/question/31336228

#SPJ1

Math:
Please very urgent, I’ll give brainliest if it’s correct

(a) [2 marks] The function
p(t) = 20 sin 360t + 100 models a
person's blood pressure while resting, where p(t) represents the blood pressure, in millimeters of mercury, and t is the time, in seconds. Sketch a graph of this function for 0 (b) [2 marks] Find the period of the function in part {a), and describe what the period represents.
(c) [4 marks] The function
p(t) = 20 sin 720t + 100 models a
person's blood pressure while exercising.
Sketch a graph of this function for 0 < t < 3.
(d) [2 marks] Find the period of the function in part (c), and describe what the period represents.
(e) [2 marks] Find the amplitude of each function, and describe what the amplitude represents.

Answers

(a) The graph is a sine curve with amplitude 20, period 1, and vertical shift 100. At t=0, the blood pressure is 100 mmHg. The graph oscillates between a minimum of 80 mmHg and a maximum of 120 mmHg.

(b) The period is 1 second, which represents the time it takes for one complete cycle of the sine wave. In this case, it represents the time it takes for the blood pressure to go through one complete cycle (from minimum to maximum to minimum again).

(c) The graph is a sine curve with amplitude 20, period 1/2, and vertical shift 100. At t=0, the blood pressure is 100 mmHg. The graph oscillates between a minimum of 80 mmHg and a maximum of 120 mmHg.

(d) The period is 1/2 second, which represents the time it takes for one complete cycle of the sine wave. In this case, it represents the time it takes for the blood pressure to go through one complete cycle (from minimum to maximum to minimum again).

(e) The amplitude of each function is 20, which represents half the difference between the maximum and minimum blood pressure.

James bought 16 bolts at the hardware store for a total of $6.00/ Some were 3-inch bolts that cost 36 cents each and the others were 4-inch bolts that cost 42 cents each. How many 3-inch did James buy

Answers

Let's use the variable "x" to represent the number of 3-inch bolts that James bought.

We know that he bought a total of 16 bolts, so the number of 4-inch bolts he bought would be 16 - x.

The cost of the 3-inch bolts is 36 cents each, so the total cost of the 3-inch bolts would be 0.36x dollars.

Similarly, the cost of the 4-inch bolts is 42 cents each, so the total cost of the 4-inch bolts would be 0.42(16 - x) dollars.

We know that the total cost of all the bolts was $6.00, so we can set up the following equation:

0.36x + 0.42(16 - x) = 6.00

Simplifying and solving for x, we get:

0.36x + 6.72 - 0.42x = 6.00

-0.06x = -0.72

x = 12

Therefore, James bought 12 of the 3-inch bolts.

PLEASE HELP I NEED IT RIGHT NOW, WILL GIVE BRAINLIST Which represents the number of square centimeters covered by the figure?

Answers

Answer:

B- 24cm^2

Step-by-step explanation:

for the square part of the shape the length is 7-2=5, 5*4=20

For the triangle, the base is 2, the height is 4, 2*4 is 8, since it’s a triangle the area is divided by 2 so 8/2 is 4.
Adding the areas of the shapes together you get 20+4=24cm^2

Question content area top Part 1 An airliner carries 350 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts​ (a) through​ (d).

Answers

If the normally distributed heights have mean as 69, then the probability that he can fit through the doorway without bending is 0.9938.

In "Normal-Distribution", probability refers to the likelihood of a continuous random variable falling within a certain range of values

We first convert the height of the doorway and the height of the male passenger to z-scores by using z = (x - μ) / σ,

where:

x = height (doorway height or male passenger height)

μ = mean of the male height,

σ = standard deviation of male height,

For the doorway height:

⇒ [tex]Z_{doorway}[/tex] = (76 - 69.0)/2.8 = 2.50,

For a male passenger:

⇒ [tex]Z_{male}[/tex] = (x - 69.0)/2.8,

To find the probability that a randomly selected male passenger can fit through the doorway without bending, we need to find the proportion of the "male-population" that has a height less than or equal to the height of the doorway;

⇒ P([tex]Z_{male}[/tex]  ≤  [tex]Z_{doorway}[/tex] ) = P([tex]Z_{male}[/tex]  ≤ 2.50) and

We know that the value of P(z ≤ 2.50) is 0.9938,

Therefore, the required probability is approximately 0.9938.

Learn more about Probability here

https://brainly.com/question/31241405

#SPJ1

The given question is incomplete, the complete question is

An airliner carries 350 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in,

If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.

Kenny, Marcus, and Sean each ate 1/5 gallon of ice cream from a
I-gallon tub. When they were done, how much ice cream was left?

If they wanted to eat 3/5gallon each, how much ice cream would
they need?

Answers

When they were done, there would be 2/5 of a gallon of ice cream left.

if they each wanted 3/5 of a gallon they would need 1 4/5 gallons of ice cream.

explanation: 1/5 X 3 = 3/5. 5/5 - 3/5 = 2/5

3/5 x 3 = 9/5 = 1 4/5

mathematics

please click the image, and answer. show your solution please.

thank you po!!

Answers

Answer:

1) 35%

2) 73%

3) 23%

4) 57%

5) 13%

6) 37%

Step-by-step explanation:

The general solution is to grab the total, which is 100%, and subtract the percentage of the given problems to find the solution. In some problems you have to add some percentages togheder to finish the problem.

So, in the first problem you subtract the percentage of girls to the whole class percentage: 100%-65%=35%.

In the second, whole package minus the red ones: 100%-27%= 73%

In the third, group of children minus swimmers: 100%-78%=22%

In the fourth, 100%-43%= 57%.

In the fifth, there is won percentage, loss percentage, and the remaining percentage you need to add to make 100% is the tie percentage.

So if we do the reverse (subtracting both win and loss percentage to have the tie percentage): 100%-45%-42%=13%.

In the sixth, it's the same thing as the fifth problem: subtracting the basketball and hockey from the whole children percentage that chose the sport: 100%-35%-28%=37%.

I hope this helped

Please help me ASAP………

Answers

The simplified expression is given as follows:

7/x³.

Where the coefficients are:

c = 7.e = 3.

How to simplify the expression?

The expression in this problem is defined as follows:

x³(1/4 x³)(28x^-9).

To obtain the coefficient c, we must multiply the coefficients of each expression, as follows:

c = 1 x 1/4 x 28

c = 7.

When two terms with the same base and different exponents are multiplied, we keep the bases and add the exponents, hence:

3 + 3 - 9 = -3.

The negative exponents goes in the denominator, hence the simplified expression is given as follows:

7/x³.

Meaning that the exponent is of e = 3.

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

Melissa deposited $5000 into an account with a 4.8% annual interest rate, compounded monthly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $5960?

Answers

Assuming no withdrawals, the investment will grow to $5960 in approximately 2.63 years.

How to find how long will it take for the investment to grow to $5960

To answer this problem, use the compound interest formula:

A = (1 + r/n)(n*t).

We're looking for t so we can rearrange the formula to find it:

n = (log(A/P) / log(1 + r/n))

When we substitute the provided values, we get:

12.63 t = (log(5960/5000) / log(1 + 0.048/12))

Hence, assuming no withdrawals, the investment will grow to $5960 in approximately 2.63 years.

Learn more about compound interest at https://brainly.com/question/24274034

#SPJ1

Hello everyone please Can u help

Answers

Answer:

the second one is x= -1

*this stuff is genuinely easy. I'm in 10th grade and all you have to do is put it in the calculator. If you have a tinspire like me you could make the x into a 1 in the calculator, put the whole thing in graph and it'll trace the answer for you. If your teacher wants to see work then maybe don't do that but let me know and I'll send the work for you.

Other Questions
describe in detail the steps in inserting a key with value 184 in the original tree. show the node which undergoes the change, and how does it look after the change. [5 points] what special property of the exclusive or gate that allows us to build an adder-subtractor circuit using full adders and exclusive or gates? Why does Hume say that it is really important to challenge impressions and ideas with pragmatic thinking, critical thinking, logic, and reason in an experimentally scientific fashion? Use a real life example of why this might be an important way to challenge ideas and impressions. (Think social media.) What is the meaning of string in Clay LLC placed in service machinery and equipment (seven-year property) with a basis of $3,450,000 on June 6, 2019. Assume that Clay has sufficient income to avoid any limitations. Calculate the maximum depreciation expense including 179 expensing (ignoring any possible bonus depreciation). (Use MACRS Table 1.) (Round final answer to the nearest whole number.)Group of answer choices$1,020,000$493,005$455,857$595,857None of the choices are correct. How can the Ames test distinguish mutagens that cause small insertions /deletions from those that cause base substitutions? What is the result of the military action from scene two act five scene three Julius caesar Which is the most likely reason an author would include a flashback?A. To summarize events as quickly as possibleB. To add complexity to the story's present momentC. To create the effect of characters really talkingD. To distract the reader from the story's main action Analyze executive compensation with the ethical toolkit. How would Milton Friedman want to recompense corporate executives? How would a utilitarian? A deontological thinker? What would a virtue ethicist have to say about executive compensation? What would be the response of the ethic of care? Write a paragraph describing the main conflict in thestory and explaining how it demonstrates differentcultural perspectives. Using only the periodic table arrange the following elements in order of increasing atomic radius:lead, astatine, radon, bismuth If 30% of (B-A)= 18% of (A+B), then the ratio A:B will be greg died on july 1, 2021, and left lea, his wife, a $87,500 life insurance policy which she elects to receive at $8,750 per year plus interest for 5 years. in the current year, lea receives $10,938. How much should Lea include in her gross income? what 2 statements about political maps are accurate? if f g is onto, must g be onto? explain your answer Your mass is 50 kg. Suppose you are standing on a scale in an elevator which starts moving up and increases its speed at the rate of 2 m/s every second. What would be the reading on the scale?a)490 Nb)590 Nc)390 Nd)0e)100 N Derive the expression that relates rate constant to the half-life. Hint: the concentration at this time (t1/2) is half the concentration with which you started. Substitute this information into the equation for a first-order reaction. Arrange each compound according to its solubility in water. Assume that each acylglycerol contains only palmitic acid. a. triacylglycerolb. diacylglycerolc. monoacylglycerol. A coaxial cable consists of an inner cylindrical conductor of radius R 1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R 2 = 0.080 m and outer radius R 3 = 0.090 m. The inner conductor carries current I 1 = 1.7 A in one direction, and the outer conductor carries current I 2 = 6 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? ( 0 = 4 10-7 T m/A) At r = 0.060 m (in the gap midway between the two conductors)At r = 0.150 m (outside the cable) cubane C8H8 is a cubic shaped hydrobcarbon with a carbon atom at each corner of the cube. Cubane is very unstable. Some researchers have been seriously injured when crystals of the compound exploded while being scooped out of a bottle. Not surprisingly cubane has even the subject of some research as an explosive.-According to the vsepr theory, what should be the shape around each carbon atom? What shape is associated with this bond angle-If you assume an ideal cubic shape what are the actual bond angles around each carbon?-Explain how your answers to questions 2a and 2B suggest why this molecule is so unstable.