Solve the following problems using MATLAB script (write one .m file per problem): Create two variables...

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Solve the following problems using MATLAB script (write one .m file per problem): Create two variables x and y and store numbers in them. Write an expression that would be true if the value of x is greater than 5 or if the value of y is less than 10, but not if both of those are true. 1. 2. An environmental engineer has determined that the cost C of a containment tank will be based on the radius r of the tank: 32430 I Create a variable for the radius, and then for the cost. C = +428TI The geometric mean g of n numbers x is defined as the nth root of the product of X: Xi g = X1 X2 X3...Xn (This is useful, e.g., in finding the average rate of return for an investment, which is something you'd do in engineering economics.) If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)/3). Compute this. 3. 4. 5. A sphere has a radius of 24 cm. A rectangular prism has sides of a, a/2, and a/4. (a) Determine a of a prism that has the same volume as the sphere. (b) Determine a of a prism that has the same surface area as the sphere. n! r!(n-r)! a/2 The number of combinations C,, of taking r objects out of objects is given by: a/4 C6, 2C43, 4 C49,6 (Use the built-in function factorial.) Cnr (a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that are drawn out of 49. (b) Using the following formula, determine the probability of guessing two out of the six drawn numbers. Solve the following problems using MATLAB script (write one .m file per problem): Create two variables x and y and store numbers in them. Write an expression that would be true if the value of x is greater than 5 or if the value of y is less than 10, but not if both of those are true. 1. 2. An environmental engineer has determined that the cost C of a containment tank will be based on the radius r of the tank: 32430 I Create a variable for the radius, and then for the cost. C = +428TI The geometric mean g of n numbers x is defined as the nth root of the product of X: Xi g = X1 X2 X3...Xn (This is useful, e.g., in finding the average rate of return for an investment, which is something you'd do in engineering economics.) If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)/3). Compute this. 3. 4. 5. A sphere has a radius of 24 cm. A rectangular prism has sides of a, a/2, and a/4. (a) Determine a of a prism that has the same volume as the sphere. (b) Determine a of a prism that has the same surface area as the sphere. n! r!(n-r)! a/2 The number of combinations C,, of taking r objects out of objects is given by: a/4 C6, 2C43, 4 C49,6 (Use the built-in function factorial.) Cnr (a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that are drawn out of 49. (b) Using the following formula, determine the probability of guessing two out of the six drawn numbers.