Question

A rectangular lot has
a correct area of two hectares. Its length is twice its width. If
the lengths of the sides were measured with a 50m tape that is
0.02m too short, determine the error in the area (m^{2}) of
the lot.

Write your answer in 3 decimal places. Round your answer to 4 decimal places.

Answer #1

#1. A rectangular airstrip measures 34.60 m by 280 m, with the
width measured more accurately than the length. Find the area (in
m2), taking into account significant figures.
#2. A rectangle has a length of (2.8 ± 0.1) m and a width of
(1.4 ± 0.2) m. Calculate the area and the perimeter of the
rectangle, and give the uncertainty in each value.
a. Calculate the area and give its uncertainty. (Enter your
answers in m2.)
b. Calculate the...

You want to form a rectangular pen of area, a = 60
ft2 (see the figure below). One side of the pen is to be
formed by an existing building and the other three sides by a
fence. If w is the width of the sides of the rectangle
perpendicular to the building, then the length of the side parallel
to the building is L = 60/w. The total amount of
fence required is the function F = 2w +...

The width of a sheet of plastic is 3.160 m and its length is
5.02 m. What is the nominal area, and what is the uncertainty in
the area? Express your answer in the form nominal +- error, as an
interval, and as a single number with the correct number of
significant digits.

A square loop and a rectangular loop are each made from the same
length of wire. Each loop contains a single turn, and carries the
same amount of current. The loops are placed in the same uniform
magnetic field. The long sides of the rectangle are four times as
long as its short sides. Determine the ratio of the maximum torque
on the square loop to the maximum torque on the rectangular loop.
(Enter your answer as a fraction, e.g.,...

A rectangular storage container with an open top is to have a
volume of 14 cubic meters. The length of its base is twice the
width. Material for the base costs 15 dollars per square meter.
Material for the sides costs 7 dollars per square meter. Find the
cost of materials for the cheapest such container. Round to the
nearest penny and include monetary units. For example, if your
answer is 1.095, enter $1.10 including the dollar sign and second...

A rectangular storage container with an open top is to have a
volume of 30 cubic meters. The length of its base is twice the
width. Material for the base costs 14 dollars per square meter.
Material for the sides costs 5 dollars per square meter. Find the
cost of materials for the cheapest such container.
Total cost = (Round to the nearest penny and include
monetary units. For example, if your answer is 1.095, enter $1.10
including the dollar sign...

1) A rectangular storage container with an open top is to have a
volume of 24 cubic meters. The length of its base is twice the
width. Material for the base costs 15 dollars per square meter.
Material for the sides costs 4 dollars per square meter. Find the
cost of materials for the cheapest such container.
Total cost =________________________ (Round to the nearest penny
and include monetary units. For example, if your answer is 1.095,
enter $1.10 including the...

2. [10 marks] A company wants the population mean length of
their product to be 5 inches. The company knows the population
standard deviation of the length of each product is 0.25 inches,
and that the lengths are normally distributed. A quality assurance
analyst wants to determine if the manufacturing process results in
products that are too short. The analyst gets a sample of 10 units
of product, and calculates a sample mean length of 4.75 inches.
Conduct a hypothesis...

(a) Find a z0 that has area 0.9525 to its
left. (Round your answer to two decimal places.)
z0 =
(b) Find a z0 that has area 0.05 to its left.
(Round your answer to two decimal places.)
z0 =
Find the following percentiles for the standard normal
random variable z. (Round your answers to two decimal
places.)
(a) 90th percentile
z =
(b) 95th percentile
z =
(c) 97th percentile
z =
(d) 99th percentile
z =
A normal random variable x has...

(a)
A light, rigid rod of length
ℓ = 1.00 m
joins two particles, with masses
m1 = 4.00 kg
and
m2 = 3.00 kg,
at its ends. The combination rotates in the xy-plane
about a pivot through the center of the rod (see figure below).
Determine the angular momentum of the system about the origin when
the speed of each particle is 4.80 m/s. (Enter the magnitude to at
least two decimal places in kg · m2/s.)
Two masses...

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