F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)

Answer:

a) 0.677

b) 0.0431

c) 0

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is correctly received, or it is erroneously received. Whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. This means that 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of all bits transmitted through a digital communication channel are erroneously

This means that [tex]p = 0.1[/tex]

Messages of 20 bits:

This means that [tex]n = 20[/tex]

a. What proportion of these messages will have at most 2 erroneously received bits?

This is [tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]

[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]

[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1216 + 0.2702 + 0.2852 = 0.677[/tex]

b. What proportion of these messages will have at least 5 erroneously received bits?

This is

[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]

In which

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]

[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]

[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]

[tex]P(X = 3) = C_{20,3}.(0.1)^{3}.(0.9)^{17} = 0.1901[/tex]

[tex]P(X = 4) = C_{20,4}.(0.1)^{4}.(0.9)^{16} = 0.0898[/tex]

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1216 + 0.2702 + 0.2852 + 0.1901 + 0.0898 = 0.9569[/tex]

Then

[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9569 = 0.0431[/tex]

c. For what proportion of these messages will more than half the bits be erroneously received?

This is [tex]P(X \geq 11)[/tex]

[tex]P(X = 11) = C_{20,11}.(0.1)^{11}.(0.9)^{9} \approx 0[/tex]

If 11 is approximately 0, the rest(11, 12, 13,...) will also be approximately 0. So this proportion is 0.

Answer:

the answer would be 85% bsjdjdmzmcnd

Answer:

75%

Step-by-step explanation:

Total Questions= 12

Answered Correctly= 9

%=9/12 x 100

%= 0.75 x 100

%= 75%

PLEASE MARK ME AS BRAINLIEST!!!!

Answer:

78.5 feet OR (25 x pi) feet

Step-by-step explanation:

You need to find the circumference.

C = 25 x 3.14

C = 78.5 feet

           OR

C = 25 x pi

Hope that helps!

Answer:

The answer is [tex]\frac{9}{40}[/tex] or 0.225

Answer:

well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444

Step-by-step explanation:

Hope that this has helped you out! :)

Answer:

The arc length  S = 11.304 cm

Step-by-step explanation:

Explanation:-

Given that the radius of the circle 'r' = 6 cm

Given that the central angle = [tex]\frac{3\pi }{5}[/tex]

The Arc length is defined by

                 S = r θ

                S = 6 × [tex]\frac{3\pi }{5}[/tex]

                [tex]S = \frac{18\pi }{5}[/tex]

               [tex]S = \frac{18(3.14) }{5}[/tex]      (∵ π = 3.14)

              S = 11.304 cm

The arc length  S = 11.304 cm

Answer:

18pi/5

Step-by-step explanation:

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

4,9, and 16 can make a perfect square.

it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to

Answer:

y = -12x - 43

Step-by-step explanation:

"slope-intercept form" looks like y = mx + b.

We are given m = -12 and a point on the line which is (4, -5).

Substituting 4 for x, -5 for y and -12 for m, we get:

-5 = -12(4) + b.  Then b = -43, and the desired equation is y = -12x - 43.

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

Answer:

48 dividido por 2897 the answer is 60.35 -

Step-by-step explanation:

__60.35-

48 √2897

__ 288__

- - 1 7

___ 0_

170

_ 144 __

-260

____ 240__

-20

Answer:

1/5

Step-by-step explanation:

Answer:

search it up on goggle lll

Answer:

3

Step-by-step explanation:

Answer:

0.00079

Step-by-step explanation:

Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.

Answer:

Step-by-step explanation:

acute angle

Answer:

40 degrees

Step-by-step explanation:

The way I did this (and it won't make much sense I know but its just my way of doing it), is to subtract the bigger angle on the tool by the smaller angle. For example, like in the image, one arrow is at 120 degrees and another at 80 degrees, so I would just do 120-80 which equals 40, and because we talk about angles in the hood its 40 degrees, not plain 40

hope you understand

Answer:

k=1

Step-by-step explanation:

⅓×9k+12 = 15

3k+12 = 15

3k = 3

k = 1

Answer:

125q^6p^3

Step-by-step explanation:

Answer:

i need the answer too

Step-by-step explanation:

We can observe that the function describing the graph is linear and so the equation is of linear nature:

[tex]y=mx+n[/tex]

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]

Now our line has an equation,

[tex]y=\frac{6}{5}x-1[/tex]

Hope this helps.

Answer:

Etymology

the study of the origin of words and the way in which their meanings have changed throughout history.

Step-by-step explanation:

Answer:

3/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

None of the choices is correct.

Circumference= 2πr = 30π cm

Answer:

The question that you have posed is rather interesting. However, it indicates a misunderstanding of the nature of civil/human rights as they are currently framed.

Step-by-step explanation:

The key thing to recall is that human and civil rights are, for the most part, individual rights, as opposed to group/societal rights. See, for example, the USA Bill of Rights, European Convention on Human Rights, Universal Declaration, and the International Covenant on Civil and Political Rights. Therefore, there is no greater societal sum equation to assess when looking at high rights. Indeed, individuals from minorities are often given special protections within human rights treaties/regimes.

However, it should not be forgotten that many rights are not inalienable, for example the right to family life, or freedom of expression. In these instances the right may be legitimately violated, if, on balance it is required to protect another individuals human right (note that it's individual as opposed to societal), or if it is deemed proportionate to violate that right (eg, to detain an individual because they have breached a provision of criminal law). But, it must be noted that this has nothing to do with minorities or majorities.

The often cited reason for this formulation is that the majority of the human rights treaties mentioned above emerged following the atrocities of the Second World War. In this regard, it must be recalled that one of the underlying philosophical beliefs of he Nazi regime related to the greater good of society, with it being perfectly permissible to violate the rights of one in order to further the welfare of others.

Answer:

[tex]\frac{26}{7}[/tex]

Step-by-step explanation:

Each person will get 3 packs of candy bars

The given parameters are:

Candy bars = 26 pack

People = 7

The number of pack each person will have is then calculated as:

Pack =Candy bars / People

So, we have:

[tex]Pack = \frac{26}{7}[/tex]

Divide 26 by 7 (remove the decimal or fractional parts)

[tex]Pack = 3[/tex]

Hence, each person will get 3 packs of candy bars

Read more about quotients at:

https://brainly.com/question/7068223

Answer:

She has to attend 6 or more classes

Step-by-step explanation:

Answer:

$7,200

Step-by-step explanation:

If 5400 is 75% then 5400/3 is 1800 or 25%. Add 5400 and 1800 and you get 7200. (Double-check to make sure I'm correct)

Answer: 53.5 seconds

Step-by-step explanation:

Answer:

i think its the third option

Answer:

la respuesta es +273 porque menos por menos es igual a +

Answer:

d (d^6-3)

the 6 is the exponent

Step-by-step explanation: