# Roll 1 2 3 4 5 6 Probability 1/4 1/6 1/6

Get college assignment help at uniessay writers Roll 1 2 3 4 5 6 Probability 1/4 1/6 1/6 1/6 1/6 1/12 Find the expected value (don t forget the coin toss). In order to make a little profit in the long run , what should your minimum charge be for the privilege of playing this game

## The circumference of a sphere was measured to be 72000 cm

The circumference of a sphere was measured to be 72000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

## 2. Use the given two-column proof to write a paragraph proof.

2. Use the given two-column proof to write a paragraph proof. Given: ÐJKL is a right angle. Prove: Ð1 and Ð2 are complementary angles. Two-Column Proof: Statements Reasons 1. ÐJKL is a right angle. 1. Given 2. mÐJKL = 90° 2. Definition of right angle 3. mÐJKL = mÐ1 mÐ2 3. Angle Addition Postulate 4. 90° = mÐ1 mÐ2 4. Substitution 5. Ð1 and Ð2 are complementary angles. 5. Definition of complementary angles

## The circumference of a sphere was measured to be 77 cm

The circumference of a sphere was measured to be 77 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

## If 10,800 cm2 of material is available to make a box

If 10,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

## The circumference of a sphere was measured to be 83000 cm

The circumference of a sphere was measured to be 83000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

## a car traveling at 40ft per second decelerates at a constant

a car traveling at 40ft per second decelerates at a constant 8ft per second squared. How many feet does the car travel before coming to a complete stop?

## n a 6 acre apple orchard, it is decided to plant

n a 6 acre apple orchard, it is decided to plant 20 or more trees per acre. If 20 trees are planted per acre then each mature tree will yield 300 apples per year. For each additional tree planted per acre, the number of apples produced by each tree decreases by 12 per year. Express the total number of apples A produced per year in terms of the number n of trees per acre.

## At this rate, what fraction of its mass would Io lose

At this rate, what fraction of its mass would Io lose in 2.5 billion,years? Suppose sulfur dioxide currently makes up 1 % of Io’s mass. When will Io run out of this gas at the current loss rate?

## DQ 92: Dental Services. The national cost C in billions of

DQ 92: Dental Services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n 30.52. Where n is the number of years since 1990 (HealthCare Financing Administration, www.hcfa.gov). a) Find and interpret the c-intercept for the line b) Find and interpret the n-intercept for the line c) Graph the line for n ranging from 0-20

## The altitude of a triangle is increasing at a rate of

Get college assignment help at uniessay writers The altitude of a triangle is increasing at a rate of 1500 centimeters/minute while the area of the triangle is increasing at a rate of 5000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 12000 centimeters and the area is 100000 square centimeters?

## 53. A box with an open top is to be constructed

53. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

## (1 pt) A survey team is trying to estimate the height

(1 pt) A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 29 ^circ. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 33 ^circ. How high (in feet) is the mountain?

## The figure below shows a Norman window, which consists of a

The figure below shows a Norman window, which consists of a rectangle capped by a semicircular region. Find the value of x such that the perimeter of the window will be 11 feet and the area will be as large as possible.

## Question 1: The figure below shows a Norman window, which consists

Question 1: The figure below shows a Norman window, which consists of a rectangle capped by a semicircular region. Find the value of x such that the perimeter of the window will be 11 feet and the area will be as large as possible. Question 2: Let f(x) be a function satisfying the differential equation [d(f(x) x)]/dx = 2(f(x) x). 1. Let g(x)=f(x) x, what equation does g(x) satisfy. 2. Solve the differential equation you obtained from the part 1. 3. Find all solutions of the differential equation d(f(x) x)/dx = 2(f(x) x).

## a farmer has a triangular garden, with two sides at right

a farmer has a triangular garden, with two sides at right angles and the thrid side measuring 380 ft long. find the perimeter of the garden if the angle between the shortest side and the longest side is 52* 10′

## ) Lengths of pregnancies are normally distributed with a mean of

) Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more than 250 days. (b) Find the probability of a pregnancy lasting more than 280 days. Draw the diagram for each and discuss the part of the solution that would be different to finding the requested probabilities.

## A spherical tank of radius 3m is half full of oil

A spherical tank of radius 3m is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of a spout which extends 1.5m past the top of the sphere. (Use 9.8 for g and 3.14 for . Round your answer to three significant digits.)

## slope 5/2, passes through(0,2)

slope 5/2, passes through(0,2)

## A model rocket is fired vertically upward from rest. Its acceleration

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 60t at which time the fuel is exhausted and it becomes a freely “falling” body. Fourteen seconds later, the rocket’s parachute opens, and the (downward) velocity slows linearly to -18 ft/s in 5 s. The rocket then “floats” to the ground at that rate.

## a number decreased by 1/4 of itself

a number decreased by 1/4 of itself

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