A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000. What is the probability of employee reimbursements exceeding $12,000 next month?

0.6 = 60% probability of employee reimbursements exceeding $12,000 next month

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.

This means that, in thousands of dollars,

What is the probability of employee reimbursements exceeding $12,000 next month?

0.6 = 60% probability of employee reimbursements exceeding $12,000 next month

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

i need a picure

step-by-step explanation: