POINTS PLZ HELP
A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?
F $20,780
G $12,800
H $28,800
J $20,760

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:

Etymology

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

Step-by-step explanation:

Answer:

search it up on goggle lll

Answer:

3

Step-by-step explanation:

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:

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:

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: 53.5 seconds

Step-by-step explanation:

Answer:

Uh queen or hearts or diamonds?

Step-by-step explanation:

Answer: We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

X°+145°=180° because there supplementary angles.

X°=35° because 180-145=35°.

Answer:

solution

1060/100=10.6

20x10.6=212

1060-212=848

1500-848=652

(652/848)x100=76.886%

Answer:

d (d^6-3)

the 6 is the exponent

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:

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:

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:

k=1

Step-by-step explanation:

⅓×9k+12 = 15

3k+12 = 15

3k = 3

k = 1

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:

125q^6p^3

Step-by-step explanation:

Answer:

i think its the third option

Answer:

for the first box it would be pairs

1,5

2,8

3,11

4,14

5,17

for the second box it would be pairs

1,2

2,5

3,8

4,11

5,14

Step-by-step explanation:

Answer:

i need the answer too

Step-by-step explanation:

Answer:

3/12

Step-by-step explanation:

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:

4--2/4--4

6/8=3/4

y=3/4 x +c

4=3/4(4)+c

4=3+c

4-3=c

1=c

y=3/4x+1

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:

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:

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