Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000
B. $300,000
C. $270,000
D. $239,400
Answer: D
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Solve the problem.The length of the diagonal of a box is given by D = where L, W, and H are the length, width, and height of the box. Find the length of the diagonal, D, of a box that is
long,
high, and
wide. Give the exact value.
A. 120 ft
B. 15 ft
C. 2 ft
D. ft
Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the length of the sides of the new triangle.
Fill in the blank(s) with the appropriate word(s).
Find the perimeter of (distance around) the given figure by adding the lengths of the sides.
A. 8.13 cm B. 22.35 cm C. 15.33 cm D. 15.15 cm
Determine whether the equation is a linear equation in two variables.x - 7y = 31.1
A. yes B. no