Answer:

Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
Answer:
subtract 7 from both sides
2x < 7- 7
subtract 7 from 7 to get 0
2x < 0
product of two numbers is < 0 if one is > 0 and the other is < 0. since 2> 0, must be < 0.
x < 0
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Explanation:</h2><h2>
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Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.
Remember that for any relation, we have a set
that matches the the domain (also called the set of inputs) of the function and the set
that contains the range (also called the set of outputs).
Suppose our relation is:

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

So in this context, the correct option is:
B) (-9,-8, -7, -6, -5}
Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9
Answer: 21.9 hours