Simple Probability

Each black section takes up 1/4 of the wheel. If you land on that, you walk away with nothing. The blue section takes up 1/8 of the wheel. If you land on that, you get a small prize (a piece of... more

07/22/20

Another geometry question I don’t understand

Determine the exact total surface area of the hemisphere attached to the cylinder: from top to bottom, the cylinder is 30 cm, and the radius of the hemisphere is 4 cm.

07/22/20

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. Horizontal major axis of length 8, minor axis of length 3

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions.Horizontal major axis of length 8, minor axis of length 3

07/21/20

The sales of Universal Instruments in the first t years of its operation are approximated by the function

S(t)= t (squareroot) 0.02t^2+4where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?

07/21/20

Please Help me with this problem.

Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2theta). (Enter your answers as a comma-separated list.)sin(3theta) - sin(6theta) = 0

07/21/20

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 4. What was the size of the original rectangle?

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 4. What was the size of the original rectangle?

07/19/20

can someone please give the definition for i= √-1?

aka i2=-1. i know i is an imaginary number, and if the number inside the square root is negative then the result is an imaginary number.

07/19/20

Rate x Time = Distance Question!

Albany and New York are 150 miles apart. One car left Albany heading for New York averaging 40 km/h. At the same time another car left NY heading for Albany averaging 35 km/h. How far from Albany... more

07/19/20

Find the determinant of the matrix.

Find the determinant of the matrix.[a f g h0 b j k0 0 c m0 0 0 d]

07/18/20

Solving for x with ratios and shapes

Q: Consider an experiment in which a marble is tossed into a box whose base is shown in the figure. The probability that the marble will come to rest in the shaded portion of the box is equal to... more

07/17/20

The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial population was 60000.

What was the initial population at time t=0?Find the size of the bacterial population after 4 hours.

07/17/20

A bacteria culture initially contains 2000 bacteria and doubles every half hour.

Find the size of the bacterial population after 80 minutes.Find the size of the bacterial population after 6 hours.

07/17/20

A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.

How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.)

07/17/20

You go to the doctor and he gives you 12 milligrams of radioactive dye.

After 16 minutes, 4.75 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the... more

07/17/20

The frequency f of vibration of a string in stringed instrument varies inversely with the length l (in inches) of the string (as the string shrinks, the frequency grows)

A C string that is 12 inches long vibrates at 600Hz. If the D string is 9 inches long, what is the frequency of vibration?A) 450HzB) 800HzC) 900HzD) 1200Hz

What was his gross income (in dollars)?

Last year Mr. Rich paid $24,000 in income taxes because he was taxed at the rate of 38% of his gross income. What was his gross income (in dollars)?

how much (in dollars) will she actually pay for the car? (Assume simple interest.)

Janice borrowed $4,300 to buy a new car. If she pays the loan back in 1 year at 8.2% interest, how much (in dollars) will she actually pay for the car? (Assume simple interest.)

07/16/20

A bank offers two different retirement savings plans to its customers.

For the first offer, the bank will match every dollar deposited up to $450, at which point all funds in the account will collect 3% interest annually. The second offer has no price matching, but... more

07/15/20

What are the coefficients of the sum of 8x 3 − 4x 2 + 5x − 11 and −3x 3 + 6x 2 + 7x + 2?

What are the coefficients of the sum of 8x

07/15/20

Find a polar equation for the curve represented by the given Cartesian equation.

Find a polar equation for the curve represented by the given Cartesian equation.y=4Please show detailed solution. Thank you.

07/14/20

A real estate agent earned $5,600 commission on a property sale of $280,000. What is her rate of commission

A real estate agent earned $5,600 commission on a property sale of $280,000. What is her rate of commission

07/14/20

A rancher has 2600 feet of fence to enclose a rectangular region that lies along a straight river.

A rancher has 2600 feet of fence to enclose a rectangular region that lies along a straight river. If no fence is used along the river (see the figure), find the dimensions needed to... more

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