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2 years ago

If f(x) = 2x, then f -(x) = Please help

Mathematics

1 answer:

Sonja [21]2 years ago

5 0

Answer:

$f^{-1}(x)= \frac{1}{2}x$

Step-by-step explanation:

Given

$f(x) = 2x$

Required:

Find $f^{-1}(x)$

$f(x) = 2x$

Replace f(x) with y

$y = 2x$

Swap both variables

$x = 2y$

$2y = x$

Make y the subject

$y= \frac{1}{2}x$

Replace y with f-1(x)

$f^{-1}(x)= \frac{1}{2}x$

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Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that

masha68 [24]

Answer:

This procedure does not result in a binomial distribution because in each trial there are more than two possible outcomes, that is, this problem cannot be simplified as a yes or no question.

Step-by-step explanation:

For the binomial probability distribution being satisfied, two things are necessary:

1) The answer can only be two outcomes, two possibilities, for example, yes/no questions.

2) The probability of a success(an answer) on each trial must be the same. That is, if we are going to survey 100 people if they are Buffalo Bills fans, they will answer yes or no, and each of those 100 people will have the same probability of being a Buffalo Bills fans.

In this problem, we have that:

Surveying 20 college students and recording their favorite TV show.

There is infinite possibilities for each answer. One can answer Narcos, other Monday Night Football, other Sportscentre, and so it goes.

So this procedure does not result in a binomial distribution because in each trial there are more than two possible answers, that is, this problem cannot be simplified as a yes or no question.

If for example, we asked the 20 students if Monday Night Football was their favorite show, then they could answer only yes or no, so it would be a binomial procedure.

3 0

2 years ago

Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account aft

noname [10]

The value of this account in 10 years is given by the formula:

FV = P*(1+r)^t

where FV is the future value in the account after 10 years(to be calculated)

P is the principal invested at the beginning

r is the interest rate and

t is the time horizon in years

Given, Invested Amount (P) = 20,000

Interest rate (r) = 5.5% = 0.055

Time horizon (t) = 10 years = 10

Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 = 34,162.89

The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)

7 0

2 years ago

2(x−23)=0 plz answer

Veronika [31]

Don’t get it what r the options

5 0

3 years ago

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x)

telo118 [61]

The decay factor of the exponential function given in the table is of $\frac{2}{3}$ .

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:

$1 - r = \frac{1}{3}$

$r = 1 - \frac{1}{3}$

$r = \frac{2}{3}$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

6 0

1 year ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 f

marysya [2.9K]

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44

5 0

2 years ago