Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
Answer:
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Step-by-step explanation:
Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.
First six not defective, each with 0.98 probability.
7th defective, with 0.02 probability. So
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
Find the expected number and variance of the number of components tested before a defective component is found.
Inverse binomial distribution, with 
Expected number before 1 defective(n = 1). So
Variance is:
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Answer:
V = 408 SA = 378
Step-by-step explanation:
To find the volume, you need to first find out the area and multiply it by overall length.
A = 1/2 (6)(8)
= 24
Volume = 24 x 17
= 408
Surface Area
SA = Front and Back + Right Side + Left Side + Bottom
= 2 [1/2 (6) (8)] + (17 x 10) + (3 x 8) + (17 x 8)
= 2 (24) + 170 + 24 + 136
= 48 + 170 + 24 + 136
= 378
Answer:
Answer is a continuous random variable x the height of the function named the probability density function f(x)
Step-by-step explanation:
A continuous random variable takes infinite number of possible values.
example include height , weight amount of sugar in an orange time required to run a mile.
Continues random variable named probability function f(x).
Answer:
2.56 * 10^11 L
Step-by-step explanation:
1 body has 40 L
Thus, the amount in 6.4 billion would be;
40 * 6.4 * 10^9
= 256 * 10^9
= 2.56 * 10^2 * 10^9
= 2.56 * 10^11 L
