1)90% of adult females hace height h (in feet) that satisfies the inequality  |h-5.35/0.21| ≤ 2 a)Solve the inequality.      b)Interpret the meaning of your answer to part (a) in the context of this problem.     c)Based on your answer to part (b), would it be unusual to encounter a female who was 5’9” tall?

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to - 6x +24x2- 2x 5) da…

A: The integral value of this function is 687.5.

Q: 1. A 13-m ladder is placed against a building to reach a window that is 5 m above the ground. How…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

Q: The triangle inequality theorem states that the sum the lengths of any two sides of a triangle is…

A: Triangle inequality theorem: The triangle inequality theorem states that the l sum of the any two…

Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: What is the largest possible area of a right triangle whose hypotenuse is 5 cm long?

A: according to question,  hypotenuse of a right triangle is 5 cm let the base be b=x and perpendicular…

Q: 1). What positive number exceeds its cube by the maximum amount?

A: You have to find maximum  difference between cube of  positive number and the number

Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is…

A:

Q: 4 4 4 3.7 A- 4 В

A:

Q: 7. Show (1) that the reverse triangle inequality |lal – |b|| < la –6| holds for all rcal numbers.…

A: We have, a = (a - b) + b  So, |a| = |(a-b) + b| ≤ |a-b| + |b|  So, |a| - |b| ≤ |a-b| .... (1)

Q: In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the…

A:

Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: We can see this problem can be modeled with an arithmetic sequence:   49, 46.5, 44, 41.5, 39, 36.5,…

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: 2. Two poles, one 12 ft high and the other 28 ft high, stand 30 ft apart. They are to be stayed by…

A: In the given question, the concept of maximization is applied. Optimization  Mathematical…

Q: In a clear discussion, what is simpson's 1/3 rule and how to solve

A: I am attaching image so that you understand each and every step.

Q: Will the ladder be long enough to reach the bottom of the window (the base of the ladder cannot be…

A: We have to find that if the length of ladder would be long enough to reach the bottom of the window.

Q: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is…

A:

Q: The sum of the length of the sides of a right-triangle is greater than the length of its hypotenuse.

A: To prove by contradiction that  The sum of the length of the sides of a right-triangle is greater…

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

Q: 1) A steel girder 27 m long is mmoved horizontally along a corridor 8m wide and around a corner into…

A:

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

A:

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: Show that if la - 51 &lt; ½ and lb - 81 &lt; ½, then we can conclude that l(a + b) - 131 &lt; 1.…

A:

Q: a plant is growing expotentially, inityially is 8cm tall and 4 days later it is 12 cm tall, how long…

A: Given, The initial height of the plant is 8cm 4 days later the plant height is 12cm How long it…

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when…

A: The length of the hypotenuse of a right triangle is 10.

Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

A:

Q: On a flat surface of land, geolo-gists drilled a borehole straight down and hit a mineral deposit at…

A:

Q: We wish to find the length of the shortest ladder that will reach from the ground over the fence to…

A:

Q: 1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear…

A: We need to use sprocket ratio to find speed of bike  Note : according to guidelines maximum 1…

Q: 5. Two posts, one 8 ft. high and the other 12 ft. high, stand 15 ft. apart from each other. They are…

A:

Q: 8. The Toronto Zoo wishes to construct an aquarium in the shape of a rectangular prism such that the…

A:

Q: How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the…

A: Here we have to find the distance from the base of the house to the base of the ladder such that the…

Q: 8. Two posts, one 15 feet high and the other 36 feet high, stand 32 feet apart. They are to be…

A: To find: The position of stake to be placed to use the least amount of wire. Concept used:…

Q: a. Compare the probable part cost from Machine A and Machine B, assuming that each will make the…

A: a First we will Find the total cost per part for machine A, CR…

Q: In a class of 50 students, 37 passed in French and 28 passed in English. 15 pupils passed I French…

A: In the class of 50 students, 37 passed in French and 28 passed in English. 15 pupils passed In…

Q: 2) A ladder is leaning against the side of a house. If the base of the ladder is 3 ft away from the…

A: We will use Pythagorean theorem to find answer to the question .

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by…

A: Consider the equation

Q: 4. A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a…

A:

Q: If the width of a rectangle is 2cm more than one-half of its length and its perimeter is 40 cm, what…

A: Let the length of the rectangle be x. And The width of the rectangle be y.

Q: Given the formula B VR, where statement B is true and statement R is False, the whole formula would…

A:

Q: 2. A ladder 12 m long is placed so that its front is 3 m from a building. How far must the foot of…

A: This question can be solved by applying the concept of Pythagoras theorem.

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: The tin can shown at the right has the indicated dimensions. Estimate --1% in. the number of square…

A: Tin can has shown the dimensions     We have to calculate the number of square inches of tin…

Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

Q: What is the height of the isosceles triangle with the greatest area that can be inscribed in a…

A: In order to solve the given question first we need to find a function in terms of a variable and…

Q: The length of a ladder is equal to the height of a wall. The ladder leans against the wall in such…

A: The length of a ladder is equal to the height of a wall. The ladder leans against the wall in such…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…