Morse code uses "dots" and "dashes," which are known to occur in the proportion of 3:4. This means that for any given symbol, P(dot sent) = 3/7 and P(dash sent) = 4/7. Unfortunately, when coded messages are sent, there are sometimes errors in transmission. Suppose there is interference on the transmission line, and with probability 1/8 a dot is mistakenly received as a dash, and vice versa. a) What is the probability that the received symbol is a dot?

Answers

Answer 1

Answer: [tex]\dfrac{25}{56}[/tex]

Step-by-step explanation:

Given: P(dot sent) = [tex]\dfrac37[/tex]

and P(dash sent) = [tex]\dfrac47[/tex]

P(dot received) = P(dot received ∩ dot sent)

+ P(dot received ∩ dash sent)

= P(dot received | dot sent)P(dot sent)  + P(dash received | dash sent)P(dash sent)   [By conditional probability formula]

[tex]=\dfrac78\times\dfrac37+\dfrac18\times\dfrac47=\dfrac{25}{56}[/tex]

Hence, the probability that the received symbol is a dot = [tex]\dfrac{25}{56}[/tex]


Related Questions

How does the value of the digit 3 in the number 63,297 compared to the value of the digit 3 in the number 60,325?

Answers

Answer:

The value of digit 3 in 63,297 is in the thousands place while the digit 3 in the number 60,325 is in the hundreds place

Hope this helps!

f(x) = 32^2+ 5x - 14
Find f(-9)

Answers

I believe the answer would be 4 sorry if it’s wrong

Maryanne sells cruise vacations.
She makes a base salary of $2,500 per month plus 5% of the cost of each vacation. This month she sold $80,000 in cruises. What are her total monthly wages?
Enter the correct answer in the box.
$____

Answers

200 is your answer to the question

|-9-3| + (-16:4)
Evaluate the following expressions

Answers

Answer:

I got 12 + (-16 :4)

Step-by-step explanation:

if u could subscribe to my friend penny_pg3d, that would be great!

Which of the following will result in a rational number? Select all that apply.
A. 645+9√4

B. 645−5√7

C. 645×9√4

D. 645÷5√7


help me please

Answers

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. so i think B and D

The given numbers  645+9√4 and 645×9√4 are rational numbers.

Option A and C are correct.

Rational number :

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

The given options are,

A.  645+9√4 = 645 + (9*2) = 645 + 18 = 663

Since above number can be expressed as the ratio of the integers.

So that, given number is rational number.

C.  645×9√4 = 645 * 9 * 2 = 11,610

Since above number can be expressed as the ratio of the integers.

So that, given number is rational number.

Learn more about the rational number here:

https://brainly.com/question/12088221

Helppppp!!!!!!!!!!!!!!​

Answers

Answer:

pour the water out

Step-by-step explanation:

Answer:

the answer is 1.8

Step-by-step explanation:


Choose the best definition for the following term: substitution

Answers

Answer:

In Algebra "Substitution" means putting numbers where the letters are: When we have: x. −

Step-by-step explanation:

There are 1440 minutes in each day.
Choose the best approximation of the number of minutes in each day.

Answers

Answer:

1 * 10^3

Step-by-step explanation:

1440 can be rounded off to the nearest hundred as 1400.

1440 can be rounded off to the nearest thousand as 1000.

1000 = 1 * 10^3

Find the length of RS with endpoints R(4,5) and S(-1, – 4).

Answers

Answer:

[tex]d=\sqrt{106}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-1-4)^2+(-4-5)^2}[/tex]

[tex]d=\sqrt{(-5)^2+(-9)^2}[/tex]

[tex]d=\sqrt{25+81}[/tex]

[tex]d=\sqrt{106}[/tex]

solve for x 3/2 + 1/2 x = 2X

Answers

5-x>x+1
Thats the answer

Answer:

x=1

Step-by-step explanation:

3/2+ 1/2= 2x

2=2x

then u swap the sides

2x=2

divide both sides by 2

x=1

For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.

Answers

Answer:

Mark brainly then I will answer..

I need help!!!!with this math question ​

Answers

35x 15= 525 (how much she made a week)
525x 4= 2,100 (how much she made a month)
2,100 - (15x 6) = 2,010 (total minus the amount of necklaces refunded)
hope this helped! (:

find the coordinates of point S On QR such that the ratio of QS to SR is 1:3 Q(2,5) R(-2,-3)

Answers

Answer:

slope or what y2-y1/x2-x1 use the formula

The coordinate of point S such that QS to SR is 1:3 will be (1,3).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given the coordinate Q(2,5) and R(-2,-3)

The intersection ratio is 1 over 3

The coordinate of point S is given by

x = [1(-2) + 3(2)]/(1+3) ⇒ x = 1

y = [1(-3) + 3(5)]/(1+3) ⇒ y = 3

Hence "The coordinate of point S such that QS to SR is 1:3 will be (1,3)".

For more about coordinates,

brainly.com/question/7869125

#SPJ2

The elivation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1/2 of the elevation of city c. How do you represent the elevation, in feet, of city d?

Answers

Answer:

The elevation of city d is 6 feet

brainliest??

The formula 2y = 3x + 6 is used in chemistry. How can this formula be solved for Y?

Answers

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

The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley and Rises at a rate of 10 ft per second after 12 seconds balloon Captain lower the balloon 15 ft what is the altitude of a hot air balloon after being lowered

Answers

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon [tex]\times[/tex] Time

[tex]\Rightarrow 10 \times 12[/tex] = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = 177 ft below sea level

Which of the scatter plots below shows the most accurate line of best fit?


W.
X.

Y.
Z.
A.
X
B.
W
C.
Y
D.
Z

Answers

Answer:

W

Step-by-step explanation:

[tex]hii[/tex]

have a nice day ✌️✌️

hope this helps you ✌️✌️✌️

Which factor pair has a product of 75?
A) 25 and −3
B) −15 and 5
C) −75 and 1
D) −25 and −3

Answers

Pretty sure it’s D (I’m adding more to this because I have to add more words to submit this answer in Brainly)

Answer:

D)-25 and -3

Step-by-step explanation:

-25 × -3

25×3(minus,minus cut)

=75

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The table below shows Karen's distance during the
marathon. Between which hours does Karen run the fastest?

Answers

Answer:

Between 6 and 9 hours.

Reason: the slope increases during 6-9 hour period.

In between 6-9 hrs
Because the sloped increased

Solve each Algebraic Equation
x-27=56

y+14=83

k+53=124

a-27=90

q+67=118

35+x=44

58+p=16​

Answers

Answer:

x=83

y=69

k=71

a=117

q=51

x=9

p=-42

Step-by-step explanation:

The same vocabulary test with 50 questions is given to 600 students from 5th to 10th grade and the number of correct responses is collected for each student in this group. The interquartile range is 40 correct responses. What would a box plot look like for the results of the vocabulary test?

Answers

Answer:

Please find attached the required box plot, which is described in the following section

Step-by-step explanation:

The boxplot will have values, due to the age difference of the test takers, which can be presented as follows;

50, 49, 46, 44, 35, 24, 14, 7, 6, 5

Therefore, we have the following 5 values as shown here, as well as others calculated through Microsoft Excel;

The maximum value = 50

The minimum value = 5

The third quartile, Q₃ = 46.75

The median, Q₂ = 29.5

The first quartile, Q₁ = 6.75

The box plot for the test scores for the vocabulary test with 50 questions administered to 600 students from the 5th to the 10th grade is included with the above answer.

Which statement is true about parallel lines?
A. They intersect and are coplanar.
B. They intersect, but are not coplanar.
C. They do not intersect, but are coplanar.
D. They do not intersect and are not coplanar.

Answers

Answer:

C( They do not intersect, but are coplanar

Step-by-step explanation:

Parallel lines are coplanar (they lie in the same plane) and never intersect.

The statement that is true about parallel lines is that they do not intersect, but are coplanar: Option C is correct.

Lines are 2-dimensional figures that are used to connect two on more points in a xy-plane.

For two lines to be parallel, this means that the lines;

cannot meet each other i.e. they can not intersectThey can lie on the same plane i.e they can be coplanar

Hence we can conclude that the statement that is true about parallel lines is that they do not intersect, but are coplanar.

Learn more here: https://brainly.com/question/8410502

What is the answer to this?

Answers

The answer is B
I’m positive it’s b

51/8 times 17/4and simplified

Answers

Answer:

27 3/32

Step-by-step explanation:

Answer:

It's 30  27/28

Step-by-step explanation:

If you multiply 51*17 and 7*4 you get 867/28 which equals 30  27/28

What is the value of x?
.20
.35
.60
.70

Answers

Answer:

20

Step-by-step explanation:

2x=40 so once you divide both sides by 2 you get x=20

The value of X is 20.

Jill grew 5/8 of an inch last year. This year she has grown 1 1/4 inches. How much has she grown in all?

Answers

In all Jill has grown 1 7/8 inches

Answer:In all Jill has grown 1 7/8 inches

Step-by-step explanation:

Hana paid $1,200 for the carpet in her living room. The room has an area of 251.2 square feet. What was her unit cost of carpeting in dollars per square foot? Round to the nearest cent.

pls help i am really needing it god bless u if u help me

Answers

Step-by-step explanation:

$1,200 divided by 251.2

hope this helps

Lets break this down.

This is pretty easy, if you just think about it, all we have to do is............. DIVIDE!

So what IS, 1200 by 251.2??

the answer is to your question 4.8

Perform the indicated operation. (-3 + 5i) - (7 + 9i) -10 + 4i 4 - 4i -10 - 4i

Answers

Answer:

-26-8i does this help?

Step-by-step explanation:

I took what was in the parenthesis and put them together coming out with -10 and -4i. Then I took what was next and started putting the variables together and the numbers together.

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.

Answers

The maximum number of apples that she can buy is 7.75.

We are given that:

- Apples cost $2 each.

- Mangos cost $1.50 each.

- Mia has $20 to spend.

- Mia must buy no less than 9 apples and mangos altogether.

- Mia decided to buy 3 mangos.

Now,

we can write the following system of equations:

[tex]$\begin{cases}2a + 1.5m \leq 20\\a + m \geq 9\\m = 3\end{cases}$[/tex]

Substituting $m = 3$ into the second equation, we get:

[tex]$a + 3 \geq 9 \Rightarrow a \geq 6$[/tex]

So, Mia must buy at least 6 apples.

To determine the maximum number of apples that she could buy, we can substitute m = 3 into the first equation and solve for a:

[tex]$2a + 1.5(3) \leq 20 \Rightarrow a \leq \frac{20 - 4.5}{2} = 7.75$[/tex]

Therefore, by equation answer will be 7.75.

To learn more about equation visit;

brainly.com/question/16763389

#SPJ12

What is greater 5/8 or 60%

Answers

Answer: 5/8 :)

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

Using long division 5/8= 0.625. which as a percentage is 62.5%

62.5%>60%

Other Questions
Plz help i need help on my homework All of the species that live in this tree each use a different part of the tree. Ifthey didn't, they would compete and only one species could survive. This iscalled theA: competitive exclusion principle B: carrying capacity C: symbolismD: succession 7. What does the Constitution say is thesupreme law of the land?a. The Bill of Rightsb. State lawsc. The amendmentsd. U.S. or federal laws Which type of estuary can you find alongthe coast of Georgia? (hint, select 2)A. a coastal plainB. a fjordC. a bar-built estuaryD. a tectonic estuary Hii Please help this is so hard Please Help! Which terms describe the periwinkle snails? Select all that aply more than one answer!a. herbivoresb. heterotrophsc. secondary autotrophisd. members of the second trophic levele. carnivoresf. primary consumers 20 POINTS!!!!!!!!! PLS HELP!!!! BRAINLIEST TO FIRST PERSON WHO IS RIGHT!!!!!!!Which of the following was a cause of the Great Depression?a.too much debt incurred by credit buyingb.raising of the taxesc.war destroyed the economyd.people were afraid to spend money and the economy stalled examples of economic regions and why cant i keep a relationship?? The excerpt from Always Running and poem Race Politics describe the same central incident. How is the focus in the two versions different? What steps did the Incas take to unite empire ?!?can someone tell me how to solve for domain and range on a graph!!! Resumen de suenos de la buena vida John Maynard Keynes believed that to end the Great Depression, government should _____. what is this fraction in its simplest form? CAN SOMEBODY WRITE ME A SUMMARY OF CHARLES by Shirley JacksonWILL GIVE BRAINLIEST IF GOOD I NEED HELP ASAP Hamilton questionConsider King George's costume. It is the most detailed/accurate costume in the entire show. Why would they do this? How does it compare to the other costumes? The Declaration of Independence was a product of this organizationThe Second Continental CongressThe First Continental CongressThe Committee of CorrespondenceThe Sons and Daughters of Liberty. 20 points Please helppppppp!!!!!!!!!!!!!! If oxygen atoms are in low concentration outside of a cell, but the cell requires more oxygen, how will the cell move the oxygen inside the membrane? After visiting several automobile dealerships, Richard selects the used car he wants. He likes its $11,500 price, but financing through the dealer is no bargain. He has $1,500 cash for a down payment, so he needs an $10,000 loan. In shopping at several banks for an installment loan, he learns that interest on most automobile loans is quoted at add-on rates. That is, during the life of the loan, interest is paid on the full amount borrowed even though a portion of the principal has been paid back. Richard borrows $10,000 for a period of four years at an add-on interest rate of 11 percent.What is the total intetrest on Richard's loan?What is the total cost of the car?What is the monthly payment ?What is the annual percentage rate?