Answer:
b
the points make a sad face on the graph and if you do the vertical line test you can see that its a function
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
The probability of getting exactly 6 girls in 8 births is 0.1093
Step-by-step explanation:
Given : 6 girls in 8 births.
To find : The probability of getting exactly 6 girls in 8 births.
Solution :
The probability of getting girl is 
The probability of getting 6 girl is 
Since we have 6 girls,
We also need to find the probability of getting 2 boys, which is
There are 
ways to get 6 girls in 8 births
i.e, 
There are 28 ways to get 6 girls in 8 births.
The probability of getting exactly 6 girls in 8 births.
Therefore, The probability of getting exactly 6 girls in 8 births is 0.1093
15 * 25 = 375 <=== simple multiplication
