Answer: i THINK it might be c
Step-by-step explanation: dont hold me to it tho. its just a guess. typed all of the equations in desmos but none of them came out exact. sorry love
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
how could i find the value of this expression?
Answer:
you plug in the numbers
Step-by-step explanation:
Please mark brainliest!!
Answer:
√x⁴-y²
x²-y²
(x+y)(x-y)
when
x=3
y=-6
√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer
There were 48 blue, 48 green, and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest number of identical sets can be made of these crayons and pictures?
Answer:
24
Step-by-step explanation:
For this problem, you need to find the greatest common factor because you need to divide all of the materials equally into identical sets.
If you factor out the numbers 48, 72, and 120, (same # of blue, green, and yellow crayons) you'll get the GCF of 24.
48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
72 - 1, 2, 3, 4, 18, 6, 8, 9, 12, 24, 36, 72
120 - 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The greatest common factor in all of these lists is 24.
Therefore, the largest number of identical sets is 24.
(2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, 5 colored pictures)
Answer:
24
Step-by-step explanation:
Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts?
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
That's the answer.
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?
Answer:
3 x 5 = 15
Step-by-step explanation:
To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!
can somebody help me
If US $1.00 is equivalent to EC $ 2.70, how much in US would one get from EC 297.00?
Which is the graph of the inequality: y is less than (1/2x - 2)^3
Answer:
A
Step-by-step explanation:
what is the measure of angle 1?
a. 36
b. 86
c. 89
d. 94
Answer:
D, 94
Step-by-step explanation:
Angles of a triangle add up to 180 degrees. 180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees. 86 = 2 180 - 86 = 94 94 = 1
Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D
Nora made 15 gallons of lemonade for a community picnic. She served 100 pints to the people. How many pints are leftover? Please help!
Answer:
There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.
Brainliest please?
What is g(x)?
A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x
WILL MARK BRAINIEST!!
Step-by-step explanation:
g(x) = -X^2
which isn't an option.
Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
6yd,3yd,7yd,
Answer:
the volume is 42 yds
Step-by-step explanation:
multiply 6x3x7=126
divide 126 by 3
126/3=42
if you don't know the answer to one of the problems you can just answer how every many you know and btw ill mark you!!
Answer:
#2 is correct.
#3 is correct, mammals are vertebrates, which means cows counts, also frogs, since they have to jump a lot, they have 10 vertebrae. Also, hawks, since they're vertebrates, and all vertebrates have backbones.
$4 is correct.
If you like my answer, please mark me brainliest.
3 * n + 2 = ?
2 * n + 7 = ?
Answer:
1.3n+2
2.2n+7
Step-by-step explanation:
for number 1.you are multiplying 3 and n which gives you 3n but 2 you cant because it dosent have a variable to times with it says plus instead of times.
and for number 2 it the same thing 2 times n equals 2n + 7 is 2n + 7 .
If this doesnt help then im sorry but this is how i know and yeah have a wonderful day.
What is the volume of this cube?
Answer:
50
Step-by-step explanation:
im not that sure sorry
Answer:
The answer is 0.125.
Step-by-step explanation:
The forumla to find volume of a cube is a3. (Let a repersent 0.5) 0.5x0.5x0.5 is 0.125
Anyone help?
.....hgzgxhlflhf
Answer:
it should be 152, can i please get brainliest
Step-by-step explanation:
Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks
Answer:
vertex (-4,-18)
Step-by-step explanation:
f(x)=2(x+1)(x+7)
f(x)=2(x^2+8x+7)
f(x)=2x^2+16x+14
f(x)=2(x^2+8x)+14
f(x)=2(x^2+8x+4^2-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)-18
f(x)=2(x+4)^2-18
vertex form:
f(x)=a(x-h)^2+k
h=-4
k=-18
vertex (-4,-18)
[tex]1/5(6+3+1)^{2}[/tex]
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
A flag pole casts a shadow that is 10 feet long. A nearby windmill casts a shadow that is 18 feet long. If the flag pole is 18 feet tall, how tall is the windmill, to the nearest tenth of a foot?
Answer:
26
Step-by-step explanation:
i need my points
Answer:
26?
Step-by-step explanation:
I have a few question:
Calculate the following (compound annually): $62,500 at 3.4% for 3 years, calculate the following (compounded annually): $5,000 at 1.5% for 4 years, Calculate the following using simple interest:$2,000 at 7.8% for 15 years, and lastly, Calculate the following at 1.8% for 8 years. (please show me how you did it step-by-step)
Step-by-step explanation:
simple interest
I=prt
I= 2000×(7.8/100)×15
I=2340
A cone has a volume of 350 cubic meters. The area of the baseis
70 square meters. What is the height of the cone?
Answer:
The height is 15
Name a straight triangle.
Answer:
A triangle
Step-by-step explanation:
The angles of a triangles are straight
therefore the triangle is a straight triangular shape
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answer:
A
Step-by-step explanation:
yyjvgyujjjjuyrcjkoiffffgy
Evaluate the expression.
3×2⁴
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
edit question_ stats
Joe ran 1 1/4 laps in 2 minutes. How many laps did Joe run on average per minute?
Answer
2.5/4
Step-by-step explanation:
If you do 1 1/4 divided by 2 that would equal 2.5/4 I hope that helps!
On Monday in Minneapolis,Minnesota it’s was 0°F outside. On Tuesday it’s was 15 degrees colder. What was the temperature and Tuesday?
Answer:
-15º F.
Step-by-step explanation:
Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:
0 - 15 = X
-15 = X
Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.