Engineers at a tire manufacturing company investigated the effect of a new rubber compound on the tire life of a certain brand of tires. From a sample of 16 tires, the engineers constructed a 99 percent confidence interval for the mean tire life, in miles, as 62,550±2,026. Suppose the company intends to claim a maximum tire life for advertising purposes. Based on the interval, of the following, which is the maximum plausible value for the mean tire life, in miles?

64,576 miles.

Explanation:

When the companies advertise their new products they want to present the product in the best possible light as possible. This is due to edging out the competition as in many products small details make a huge difference. The same is the case with the tires and their endurance. The longer way a set of tires takes you the better, since they are expensive product so changing them less often is very beneficial.

In this case, the interval for the mean tire life varies by 2,026 from 62,550, both up and down. The minimum will be 60,524 miles, while the maximum a tire can pass is 64,576. The company will of course go for the maximum value to make the product look as attractive and as good as possible to the customers.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

so i don't know what video you're talking about, but here's some stuff steve jobs gave as advice.

- love what you do.

- the worst thing that could happen might turn out to be the best thing that could happen.

- follow your heart and trust it knows where it's going.