Simplify 8 2(10 – r). a. 7r – 18 b. –2r – 18 c. –2r – 9 d. 28 – 2r
1 answer:
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Answer:
P(a junior or a senior)=1
Step-by-step explanation:
The formula of the probability is given by:
Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.
In this case, N is the total number of the students of statistics class.
N=18+10=28
The probability of the union of two mutually exclusive events is given by:
Therefore:
P(a junior or a senior) =P(a junior)+P(a senior)
Because a student is a junior or a senior, not both.
n(a junior)=18
n(a senior)=10
P(a junior)=18/28
P(a senior) = 10/28
P(a junior or a senior) = 18/28 + 10/28
Solving the sum of the fractions:
P(a junior or a senior) = 28/28 = 1
Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by and using distributive propierty:
Substract from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for
Add 4 to both sides:
Solving for
Collect in terms of x and add to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for
If we evaluate in the original equation:
Which is correct, therefore the solution is: