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3 years ago

How is domain of the function f(x)=sinx restricted so that its inverse function exists?

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

Correct answer: sin x ⇒D(x) : [- π/2, π/2] ; sin⁻¹x ⇒ CD(x) : [- π/2, π/2]

Step-by-step explanation:

In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) : [- π/2, π/2] and the range of sin⁻¹x is CD(x) : [- π/2, π/2].

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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the

ki77a [65]

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

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

$P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125$

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

3 0

2 years ago

Is this wrong?

sammy [17]

Step-by-step explanation:

The last step is a little wrong. Lemme show you:

x(x + 2) + (x + 2)

Imagine there is an invisible '1' infront of (x + 2) like this:

= x(x + 2) + 1(x + 2)

Now we can combine the like terms together:

= (x + 1)(x + 2)

This is the correct factorization.

4 0

3 years ago

Find the degree of the polynomial: a^3+3a^2−5a

emmainna [20.7K]

Answer:

The degree of the polynomial is 3

Step-by-step explanation:

Given:

$a^3+3a^2-5a$

To Find:

The degree of the polynomial= ?

Solution:

The degree of the polynomial is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial

Here in the given polynomial

$a^3+3a^2- 5a$

The terms are

$a^3$

$3a^2$

$5a$

The term $a^3$ has the largest exponent of 3

Note: The degree of the polynomial does not depend on coefficients of the terms

3 0

3 years ago

The hypothesis test of cost parameters indicates whether: a.the total cost is similar to that of the prior periods. b.the parame

maksim [4K]

Answer:

B. The Parameter are different from Zero

Step-by-step explanation:

3 0

3 years ago

The segments shown below could form a triangle ac=9. cb=8. ba=17

krek1111 [17]

The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.

Here 9+8=17 (not greater), so these segments do not form a triangle.

8 0

3 years ago

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