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A 7-character password consists of three letters (from A to Z) followed by four numbers (from 1 to 9).
a) How many different passwords can be formed?
b) How many different passwords have no repeated number or letters?
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 234 in.^2. What are the length and width of the rectangle?
Evaluate the integral using a) the trapezoidal rule with four panels, b) Simpson's rule with four panels
Write the contrapositive of the following statement:
89 students found that 22% were in favor of raising tution to build a new math building. The standard deviation of this poll is 7%. What would be the standard deviation if the sample size were increased from 89 to 189?
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
if you make it 9 cm deep and give the sphere a radius of 16 cm. To be sure, you picture the wok as a solid of revolution, and calculate its volume with an integral. To the nearest cubic centimeter, what volume do you really get?
A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
Using the Quotient rule, find the gradient of the function:
The circumference of a sphere was measured to be 85.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
ABCD is a cross-section of a uniform rectangular block of mass 20kg. AB is 0.75m and BC is 1m. The block rests with A on rough horizontal ground with AB at 20 degrees to the horizontal.
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