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3 years ago

Plz solve this question mhanifa

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

Given:

f(x) = 1/ (x - 3)
g(x) = $\sqrt{x+5}$

The composite function f · g(x) is:

f(g(x)) = 1 / ( $\sqrt{x+5} - 3$ )

Restrictions are:

x + 5 ≥ 0 ⇒ x ≥ - 5

and

$\sqrt{x+5}$ ≠ 3 ⇒ x + 5 ≠ 9 ⇒ x ≠ 4

Combination of the above gives us the domain:

x ∈ [ - 5, 4) ∪ (4, +∞)

Correct choice is D

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Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that $p = 0.44$

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? 

This is P(X = 1) when n = 4. Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091$

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

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