Answer:
f(x)=3 g(x)=8
Step-by-step explanation:
Answer:
a) Binomial distribution, with n=20 and p=0.10.
b) P(x>1) = 0.6082
c) P(3≤X≤5) = 0.3118
d) E(X) = 2
e) σ=1.34
Step-by-step explanation:
a) As we have a constant "defective" rate for each unit, and we take a random sample of fixed size, the appropiate distribution to model this variable X is the binomial distribution.
The parameters of the binomial distribution for X are n=20 and p=0.10.
b) The probability of k defective surge protectors is calculated as:
In this case, we want to know the probability that more than one unit is defective: P(x>1). This can be calculated as:
c) We have to calculate the probability that the number of defective surge protectors is between three and five: P(3≤X≤5).
d) The expected number of defective surge protectors can be calculated from the mean of the binomial distribution:
e) The standard deviation of this binomial distribution is:
For this case, the first thing we must do is determine the number of tables that 2 people sit.
For this, we use the following rule of three:
50 tables -----------------> 100%
x ----------------------------> 40%
Clearing x we have:
Then, the number of tables that 4 people feel is given by:
We are now looking for the number of chairs:
Table for 2:
Table for 4:
Total seats:
Answer:
there are 160 seats in the restaurant
Answer:
Step-by-step explanation:
1. Perfect square trinomials, are 2nd degree polynomials, of the form so that , which can be written as perfect squares.
2. For example
3. Thus are perfect square trinomials.
4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}
Answer:
90 degrees
Step-by-step explanation:
Imagine you cut out that little part and switch it into a upward position, it will look like a right angle, so a right angle is equal to 90 degrees.