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Step-by-step explanation:

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This question is incomplete, the complete question is;

Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:

a) No retransmission is required.

b) Exactly two retransmissions are required

Answer:

a) probability that No retransmission is required is  0.90

b) the probability that exactly two retransmissions are required is 0.009

Step-by-step explanation:

Given the data in the question;

the probability of error-free transmission of a message over a communication channel is p = 0.9

a) probability that No retransmission is required will be;

Let x represent the error-free transmission of a message

Now, the P( error-free_transmission_of_a_message) = 0.90

so;

P( X=0 ) = 0.90( 1 - 0.90 )⁰

P( X=0 ) = 0.90( 0.1 )⁰

P( X=0 ) = 0.90( 1 )

P( X=0 ) = 0.90

Therefore, probability that No retransmission is required is  0.90

b) Probability that exactly two retransmissions are required will be;

P( X=2 ) = 0.90( 1 - 0.90 )²

P( X=2 ) = 0.90( 0.1 )²

P( X=2 ) = 0.90( 0.01)

P( X=2 ) = 0.009

Therefore, the probability that exactly two retransmissions are required is 0.009

Answer:

Square

Step-by-step explanation:

Probably square

Answer:

15x+30<10x-45

Step-by-step explanation:

Given parameters :

To find :

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Total ages of three people = Sum of their ages

Answer:

A= 360

Step-by-step explanation:

360

Answer:

3.6 more miles

Step-by-step explanation:

10.4 - 6.8 = 3.6

Answer:

1.) The point (24,30) would not be on the line

2.) The point (12,13) would not be on the line either

4.) The slope is a fraction of 2/1

Bonus: y = (2/1)x - 2

Step-by-step explanation:

For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.

Let me know if you need more help!

:)

Answer:

Adult Tickets 3a

Student Tickets = a

Senior Tickets a+8

Step-by-step explanation:

Answer:

a=students

3a=adults

3a+8=senior

Step-by-step explanation:

Answer:

A.) X ~ N(18.5, 3.75)

B.) SumX ~ N(1017.5,27.8).

C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Step-by-step explanation:

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b.

The mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The standard deviation is given by:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The uniform distribution can be approximated to the normal, using its mean and its standard deviation.

Sum of n terms of a normally distributed variable:

The mean of the sum will be:

[tex]\mu_{s} = n\mu[/tex]

The standard deviation of the sum will be:

[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.

This means that [tex]a = 12, b = 25[/tex]

We survey a class in which 55 research papers were turned in to a professor.

This means that [tex]n = 55[/tex]

A.) Give the distribution of X.

The mean has already been given, and the standard deviation is:

[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]

So

X ~ N(18.5, 3.75)

B.) Give the distribution of SumX.

Sum of 55 papers, the standard deviation will be of:

[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]

So

SumX ~ N(1017.5,27.8).

C). Calculate the probability that the professor will need to read a total of more than 1080 pages

This is 1 subtracted by the pvalue of Z when X = 1080. So

[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]

[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

1 - 0.9878 = 0.0122

0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Answer:

“It’s not hard to steal points”.........................................so thx for points....................................bye

Step-by-step explanation:

Answer:

y+x = 527- 195

Step-by-step explanation:

correct me if im wrong pls anyone!

Answer:

Hi

Step-by-step explanation:

-3t < -78

÷-3      ÷-3

_________

t > 26

78÷26=3

Answer:

If the current temperature is 0 degrees C then:

27 hours

Step-by-step explanation:

108 divided by 4=27 hours.

Part A: He could make 14 toy trucks.

Divide 85 by 6.

85/6

14

(don't take any notice to the decimals)

Part B: He would have 1 piece of wood leftover.

6x14=84

Since Mr. Williams has 85 pieces of wood,

he would have 1 leftover.

Hope this helped!

Answer:

54

Step-by-step explanation:

Let us assume the examination class is of 100 students

Now 55% scored 70%  so 55% of 100 is 55

And, the 54% scored above 70% so 54% of 100 is 54

Therefore there are 54 who scored above 70%

Hence, the same would be considered and relevant too

Answer:iscusses the domain and range of a function, and how to find the domain ... {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} ... If you find any duplicate x-values, then the different y-values mean that you do not have a function. ... I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}.

Step-by-step explanation:

Answer:

A) Gradient = -3

B) 3y - x = 7

Step-by-step explanation:

The curve has the equation;

y = x³ - 6x² + 9x + 1

We are given the pints it passes through as;

A(2,3) and P(3, 1)

A) to find the gradient, we will find the derivative of the given equation.

Thus;

Gradient = y' = 3x² - 12x + 9

At point A, x = 2. Thus;

Gradient = 3(2²) - 12(2) + 9

Gradient = 12 - 24 + 9

Gradient = -3

B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3

Thus, equation of the normal to the curve at point A will be;

(y - 3) = ⅓(x - 2)

Multiply both sides by 3 to get;

3y - 9 = x - 2

3y - x = 9 - 2

3y - x = 7

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Answer:

b = -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-12 = 24 + 4b

-12 -24 = 4b

-36 / 4 = b

b = -9

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

Answer:

The radius of the ball is of 6 feet.

Step-by-step explanation:

The radius of the ball in spheric format is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?

Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]904.32 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]

[tex]r = 6[/tex]

The radius of the ball is of 6 feet.

Answer in fraction form = 33/2

Answer in decimal form = 16.5

===========================================================

Work Shown:

n = some number

2n = twice that number

2n+3 = "sum of twice a number and 3"

[tex]\sqrt{2n+3}[/tex] = square root of the previous expression

The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]

We'll follow PEMDAS in reverse, undoing each operation, to isolate n

[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]

Answer:

[tex]\frac{33}{2}[/tex]

Step-by-step explanation:

 In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:

Let x be the number:

[tex]\sqrt{2x+3 = 6 }[/tex]

In order to solve the problem:

[tex]\sqrt{2x+3}^2=6^2[/tex]

By squaring both sides to remove the exponent:

[tex]{2x + 3 = 36}[/tex]

Simplify:

[tex]{2x+3-3=36-3}[/tex]

Subtract 3 from both sides:

[tex]{2x = 33 }[/tex]

Then Simplifying further:

[tex]\frac{2x}{2} = \frac{33}{2}[/tex]

Divide both sides by 2 to remove 2 from the x.

[tex]{x = \frac{33}{2} }[/tex]

Thus, meaning the answer is [tex]\frac{33}{2}[/tex]

Hope this helps you.

Answer:

B

Step-by-step explanation:

I Had this