Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
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:
17.09 has 2 decimal places, so we put the decimal digits of 17.09, 09, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 09 = 09/100. We add 17 as 1700/100 and get: 17.09 as decimal fraction = 1709/100
<h3>
Answer: (1, -2)</h3>
Explanation:
Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together
So we have (x,y) = (1, -2) as the point on the f(x) curve.