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2 years ago

14

What is the inverse of the function f(x) = 3x – 2? f-1(x) =

1 answer:

Eddi Din [679]2 years ago

7 0

Answer:

$\frac{x + 2}{3}$

Step-by-step explanation:

Replace y with f(x).

$y = 3x - 2$

Swap x and y and solve for y

$x = 3y - 2$

$x + 2 = 3y$

$\frac{x + 2}{3} = y$

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Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

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.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

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

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

What is the ratio of 30 divided by 4:2

klasskru [66]

4:2 can represented as 4 / 2. Or also 2.

30 / 2 = 15

7 0

2 years ago

The diameter of a circle is 4 m. Find its area in terms of π

Firdavs [7]

Answer:

should be 12.56

Step-by-step explanation:

the formula to find the area of a circle is A= πr2

so what you do is mulitply 3.14 ( number of pi) times radius (half of what the diameter is) squared which is the radius times the radius

3.14 x 2 x 2 + 12.56

8 0

2 years ago

Write four numbers that round to 700,000 when rounded to the nearest hundred thousand?

lianna [129]

744,567. 714,634. 646,789. 655,555 hope it helps

3 0

2 years ago

Read 2 more answers

A plane leaves airport A and travels 570 miles to airport B on a bearing of Upper N 32 degrees Upper E. The plane later leaves a

Karolina [17]

Answer:

769.46 miles

Step-by-step explanation:

Please have a look at the photo attached in this answer

The missing part of the angle is 32 degrees, so the total angle of B is:

32 + 73 = 105 degrees.

Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:

$x^{2}$ = $570^{2} + 390^{2}$ - 2(570)(390)cos(105)

<=> $x^{2}$ = 592070

<=> x = $\sqrt{592070}$ = 769.46 miles

5 0

3 years ago