The probability that no one in the family of 4 will be hospitalized during a year is 0.52
Step-by-step explanation:
The probability for a person to be hospitalized during one year is

As a consequence, the probability for a person of NOT being hospitalized during one year is

If we have 4 people in the family, the probability of each of them of NOT being hospitalized during the year is independent from the probability of the others - therefore, these are independent events. This means that the total probability of the 4 people of not being hospitalized during a year is:

So, the probability that no one in the family of 4 will be hospitalized during a year is 0.52.
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<u>x₁ + x₂</u> <u>y</u>₁ + <u>y</u>₂<u>
</u> 2 = M 2 = M
<u>
x + 8</u> <u>y + -2</u><u>
</u> 2 = -4 2 =6
<u>multiply both sides by 2.
</u>x+8=-8 y - 2 = 12
<u>x = -16</u> <u>y = 14
</u>
Final Answer: (-16, 14)
Answer:
See the graph and explanation below.
Step-by-step explanation:
For this case we have the following function:

The domain for this function is given by:
since the natural log is not defined for negative numbers
, 
We can calculate some points in order to see the tendency of the graph, we can select a set of points for example
and we can calculate the values for f(x) like this
x=5.5

x=6

That represent the x intercept
x=7

x=8

x=9

x=10

And that represent the x intercept
And then we can see the plot on the figure attached.
27. You start off with 9, and since the range is 18, it's 9+18, which is 27. Hope I helped!!