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uranmaximum [27]
1 year ago
14

Consider the functions f(x) = -2(x-3)² + 2 which is represented by the graph

Mathematics
1 answer:
ehidna [41]1 year ago
6 0

The intervals of the function on the graph are:

  • Domain = (-∝, ∝)
  • Range = (-∝, 2]
  • Increases (-∝, 3]
  • Decreases [3, ∝)

<h3>The key features of the function?</h3>

The function is given as:

f(x) = -2(x-3)² + 2

See attachment for the graph.

From the graph, we have;

Domain = (-∝, ∝)

Because it takes all real values as its input

Range = (-∝, 2]

Because it has a vertex of (3, 2) and the vertex is a maximum

Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)

Read more about function interval at:

brainly.com/question/27831985

#SPJ1

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Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan
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Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

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                                                                                                       k= 2,3..........10For option B:

P(X=k | X \geq 2 ) =  \sum^{10}_{i=2}  \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}

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A class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class
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given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class  and says that the five students are being selected at random

Here selecting any 5 students from the group of total 24 students is combination because order does not matter.

Total no of ways of selecting any 5 from total 24 = 24C5\\=42504

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a) the probability be that all five students

selected are girls=\frac{792}{42504} \\=0.01863

b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random.  Hence the teacher had a preference for girls.

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