Addition is needed because of the subtraction sign.
Answer:
12
Step-by-step explanation:
Consider the list of multiples
multiples of 4 are 4, 8, 12, 16, 20, ....
multiples of 6 are 6, 12, 18, 24, ....
The least common multiple is 12
Answer:
5 feet tall
Step-by-step explanation:
12 x 5 =60
Answer:
The probability that the bulb will last more than 1,200 hours is 0.3012
Step-by-step explanation:
Let the random variable <em>X</em> = life of a light bulb .
The random variable
The probability distribution function of exponential distribution is:
The mean of the distribution is, Mean = 1000 hours.
The value of λ is:
Compute the probability that the bulb will last more than 1,200 hours as follows:
Thus, the probability that the bulb will last more than 1,200 hours is 0.3012.
Answer:
f(x) = + 8x² - 9
Step-by-step explanation:
Given the zeros of a polynomial say x = a and x = b, then
the corresponding factors are (x - a) and (x - b)
The polynomial is the the product of the factors
f(x) = (x - a)(x - b)
Given zeros x = 1, x = - 1, x = 3i and x = - 3i, then corresponding factors are
(x - 1), (x + 1), (x - 3i) and (x + 3i), then
f(x) = (x - 1)(x + 1)(x - 3i)(x + 3i) ← expand in pairs using FOIL
= (x² - 1)(x² - 9i²) → note i² = - 1, thus
= (x² - 1)(x² + 9) ← distribute
= + 9x² - x² - 9 ← collect like terms
= + 8x² - 9