Atire company has developed a new type of steel-belted radial tire. extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 40,000 miles and a standard deviation of 4,000 miles. the company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased qualify the guarantee mileage. what should the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage? (2 points)

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.

Q1 how many whole numbers less than 1000 can be written as a product of 3 consecutive whole numbers? a)10 b)11 c)15 d)21 q2 how many whole numbers between 5000 and 6000 consist of four different digits that decrease from left to right? a)3 b)10 c)69 d)120