At a large corporation, 25% of a random sample of male employees have an average salary of $75,000 or higher. A random sample of female employees shows that 20% have an average salary of $75,000 or higher. A representative for the Equal Pay Act wants to determine whether there is evidence of a difference in salaries between males and females. What would she write as the null and alternative hypotheses for this situation? (2 points) H0:p1 − p2 = 0 and Ha:p1 − p2 > 0

H0:p1 − p2 = 0 and Ha:p1 − p2 < 0

H0:p1 − p2 = 0 and Ha:p1 − p2 ≠ 0

H0:p1 − p2 > 0 and Ha:p1 − p2 = 0

H0:p1 − p2 > 0 and Ha:p1 − p2 ≠ 0

Find the lateral surface area plzzz

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.