Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
Answer:

Step-by-step explanation:
given 
the factor (x - 3) can be cancelled from the numerator/ denominator leaving

Answer:
26
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
64+b = 90
Subtract 64 from each side
64-64 +b = 90-64
b = 26
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.
Answer:
35 People
Step-by-step explanation:
From the given information
- $125 was charged for the rental of the hall
- Each Meal costs $12
- Total Bill = $545
Let the number of people attending the banquet=x
Therefore:
Cost of Hall Rental + Total Meal Cost = Total Bill
125+12x=545
12x=545-125
12x=420
x=420/12=35
Since x=35, we conclude that 35 People attended the banquet.