Answer:
The expected value of X is 2 with a standard deviation of 1.34.
Step-by-step explanation:
For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Stereo speakers are manufactured with a probability of 0.1 of being defective
This means that 
Twenty speakers are randomly selected.
This means that 
Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.
The expected value of X is 2 with a standard deviation of 1.34.
A rectangle is a parallelogram with four right angles.
That's why in order to prove that LMNP is rectangle you have to show that LP is perpendicular to PN.
Solution:
The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then
.
Find the dot product:
.
Since the dot product of two vectors is equal to zero, these vectors are perpendicular.
LMNP is a parallelogarm, then
.
You show that all angles are right, this means that parallelogram LMNP is a rectangle.
Answer: correct choice is D.
Answer:
The probability that a randomly selected student prefers dogs or is female is 1.08
Step-by-step explanation:
Number of females = 52
Number of dogs = 56
Total no. of preferences = 100
Probability of selecting a dog =
Probability of selecting a female =
The probability that a randomly selected student prefers dogs or is female = 
Hence the probability that a randomly selected student prefers dogs or is female is 1.08
Answer:
z =2.76
Step-by-step explanation:
z - 2.3 = 0.46
Add 2.3 to each side
z - 2.3+2.3 = 0.46+2.3
z =2.76
I believe y=-4/3x +3 is the correct answer
