Step-by-step explanation:
3/4=9/12 CORRECT
2/3=6/12 FALSE
Step-by-step explanation:
What is done to top of the fraction must be done to the bottom as well in order for the renaming to be true.
3*3 = 9
4*3 = 12
Therefore proven to be true
However,
2*3 = 6
but 3*3 = 9
The second fractions is renamed incorrectly and should be either 2/4=6/12 or 2/3=2/9
Hope this helps!
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
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
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
Plz help with this ok
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.
What are the 10 perfect cubes ?
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
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.
calculate the perimeter of a quarter circle 2mm use pi=3.14
Answer:
Step-by-step explanation:
If the radius of the circle is 2mm, the circumference is 4π mm.
Arc length of the quarter circle = π mm.
Perimeter of the quarter circle = arc length + 2 radii = 4π + 4 mm = 16.56 mm
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!
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:
[tex]1/5(6+3+1)^{2}[/tex]
what is 2 3/4 as a improper fraction
Answer:
11/4
Step-by-step explanation:
2x4=8
3+8=11
11/4
help!!!!!!!!!!!!!!!!
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:
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Can someone please give me the answer
Answer:
it’s 3x+4 your adding the x to the 2x
Answer:
6x+8
Step-by-step explanation:
2x*2+(x+4)*2
=4x+2x+8
=6x+8
what is the complementary angle of 90
It is when two Angles add up to 90 degrees
for example 30 + 60
The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10
Answer:
Step-by-step explanation:
a/b=7/5
a=7b/5
a+b=36, using 7b/5 for a we have
7b/5+b=36
7b/5+5b/5=36
12b/5=36
12b=180
b=15, and since a=7b/5
a=7(15)/5
a=21
So the numbers are 21 and 15
Answer:
C is the correct answer please like for more
20 points | If you're good at math, please help me with this 9th grade math, thank you <3 kinda running out of time here
Answer:
y = x^2 + 15x + 56
Step-by-step explanation:
The solutions (where the trinomial = 0) is the factors that will turn the trinomial into 010.
(x + 7)(x + 8) = 0
This means that either -7 will turn the trinomial into 0 or - 8 will.
The trinomial is
x^2 + 8x + 7x + 56 will turn the trinomial to 0.
y = x^2 + 15x + 56 when either - 7 or - 8 is put in for x.
y = (-7)^2 + 15(-7) + 56
y = 49 - 105 + 56
49 + 56 = 105
y = 105 - 105 = 0
y = (-8)^2 - 15(-8) + 56
y = 64 - 120 + 56
y = 120 - 120= 0
No other number will turn the trinomial into 0.
The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins
Answer:
brainliest
Step-by-step explanation:
she needs altogether 2 2/4.
that is 2 wholes and 2/4 fraction.
if we consider using 1/4 cup, 1 whole is made of four quarter cups.
Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.
1/4 + 1/4 = 2/4. therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe.
10 of 1/4 cups are needed
What is 3/4 divided by 1/4
Answer:
3
Step-by-step explanation:
PLS ANSWER A B AND C
Answer:
B if im wrong pls correct me
Step-by-step explanation:
plzz somone i need help plss help me
Answer:
Maybe try the last one because
Step-by-step explanation:
it is explaining about how many students does she have meaning you can easily graph this out
A quality-assurance worker wants to systematically sample 120 glass jars each day from a conveyor belt in a factory that puts out 3,600 jars each day. If the worker will select every kth jar, what is the best value of k for the worker to use? Enter a whole number.
Answer:
The best value of k for the worker to use is 30.
Step-by-step explanation:
Sample of 120 jars from a set of 3,600.
If the worker will select every kth jar, what is the best value of k for the worker to use?
The best case would be starting at 0 and ending at 3600, finding 120 values, which means that k is given by the division of 3600 by 120. So
[tex]k = \frac{3600}{120} = \frac{360}{12} = 30[/tex]
The best value of k for the worker to use is 30.
Evaluate the expression.
3×2⁴
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
Which expressions is equivalent to 50c - 25? (There is more than one answer)
5 (10c-10)
5 (10c - 5)
25 (2c-1)
5 (10-5)
Answer:
C
Step-by-step explanation:
25 (2c-1)
(25 x 2c) - (25 x 1)
50c - 25
a group of friends go to the movies and want to order popcorn. a large bucket of popcorn is $0.50 more than a small bucket. the group of friends ordered 3 large buckets and 2 small buckets of popcorn for a total of $23.95 how much was the cost of a small bucket of popcorn and large bucket of popcorn
Answer: $4.56 for the small one and &5.06 for the large
Step-by-step explanation:
$23.95-(3x$0.05)=$22.80
$22.80/5=4.56
Martin needs 3.25 gallons of paint for his small barn and 1.25 gallons of paint for his shed. he spends $81 on paint, how much does the paint cost per gallon?
Answer:
$24.92, $65
Step-by-step explanation:
1. $81 divided by 3.25 = 24.9230769231 = $24.92
2. $81 divided by 1.25 = $64.8, rounded could be $65.
sorry if I'm wrong :).
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: