Answer:
Step-by-step explanation:
The x intercepts are obtained by equating the factors to zero.
2x - 1 = 0
2x = 1
x = 1/2
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2 or 2.5
The graph of f(x) = (2x -1)*(2x - 5) is given below. The x intercepts are labeled.
Answer:
the last one
Step-by-step explanation:
I checked
Answer:
a)
And then we have our probability distribution like this:
X | 0 | 1 | 2 |
P(X) | 0.7921 | 0.1958 | 0.0121|
b) 
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:

Solution for the problem
Part a
On this case since we select a sample size of n =2 we have the following values for the number of left handed X=0,1,2. We can find the probabilities for each case since we know that p=0.11.
And then we have our probability distribution like this:
X | 0 | 1 | 2 |
P(X) | 0.7921 | 0.1958 | 0.0121|
Part b
For this case we want this probability:

Do oz so oz. Top oz so off.
Supplementary angles is when 2 angles add up to 180 degrees.
We will name the smaller angle a and the bigger angle b.
therefore:
b - 172.6 = a
a + b = 180
Now we substitute:
a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3
To find a:
a + b = 180
a + 176.3 = 180
a = 3.7
Therefore,
angle a = 3.7 degrees
angle b = 176.3 degrees.
Hope it helps and have a great day ahead