In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad.
5.
a.
b.
Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal,
October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between
8.5 and 12 hours.
Give a mathematical expression for the probability density function of battery life.
What is the probability that the battery life for an iPad Mini will be 10 hours or less?
What is the probability that the battery life for an iPad Mini will be at least 11 hours?
What is the probability that the battery life for an iPad Mini will be between 9.5 and
In a shipment of 100 iPad Minis, how many should have a battery life of at least
9 hours?
c.
d.
11.5 hours?
e.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

25% is the answer

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.