Answer:
0.7738 = 77.38% probability that an incorrect message is received.
Step-by-step explanation:
For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used 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.
5% probability a bit is sent incorrectly:
This means that [tex]p = 0.05[/tex]
Message of length 5
This means that [tex]n = 5[/tex]
What is the probability that an incorrect message is received?
This is the probability of at least one incorrect bit, which is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738[/tex]
0.7738 = 77.38% probability that an incorrect message is received.
Helpppppppp thank u so much
Answer:
acute triangle
Step-by-step explanation:
First find the other angle
The sum of the angles is 180
x+65+60 = 180
x + 125 = 180
x = 180-125
x = 55
All three angles are different so all three side lengths are different
All the angles are less than 90 so all the angles are acute
This is an acute scalene triangle
Answer:
im is 55 so the only correct option is c
Step-by-step explanation:
hope this helps! have a great day!!
I know the answer I just need a step by step explain. The answer is $1000
sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)
Pls do this for me I am getting annoyed with this
Answer:
x = 1.7
Step-by-step explanation:
In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
Answer:
C. L LAM = L LBM
Step-by-step explanation:
__________
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
pls help
when is better to use the unit circle vs. right triangles vs. trigonometric identities? Give an example of each and explain why.
The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.
Understanding when to use Unit circle, right triangles and trigonometryEach tool has its own strengths and weaknesses and is better suited for certain types of problems.
Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.
A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.
Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.
If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.
Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.
For example, we can use the identity:
sin²(x) + cos²(x) = 1
to simplify the expression
sin²(x) - cos²(x).
We can rewrite this expression as:
sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)
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ANYONE KNOW THE ANSWER????
9514 1404 393
Answer:
(c) x = 10
Step-by-step explanation:
The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.
90 = 10x -10
100 = 10x . . . . . add 10
10 = x . . . . . . . . divide by 10
The value of x is 10.
Cho hàm ẩn z=z(x,y) xác định từ phương trình x+y+xz+yz2−1=0. Tính vi phân toàn phần dz(1,0).
Answer:
please write the question in english than I may help you
What type of connection can you make between markups and tips or taxes?
Answer:
Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts.Step-by-step explanation:
Which option shows the graph of 3y+18>5x
Hi, I'm so sorry I can't answer that. but I have something you can answer that. Search in browser or anything searcher that you have "Quickmath" or "Cymath" all your equations,problems can solved
Step-by-step explanation:
i hope it helps
How many dimensions does a plane have?
O
A. Three
о
B. Zero
O C. Two
D. One
A Plane does not have one dimensions.
What is Plane?A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.
A plane doesn't only have one dimension, though. The two dimensions of a plane.
A plane is a flat, infinitesimally long two-dimensional surface.
The plane can occasionally be extended into three dimensions.
Consequently, a plane has more than one dimension.
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o perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one, two, or three steps. The second procedure requires either one or two steps. Answer the first and second questions using this information.List the experimental outcomes associated with performing the blood analysis. (Hint: The first procedure has three possible outcomes (steps needed), the second procedure has two possible outcomes (steps needed)).(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2)
Answer:
11, 12, 13, 21, 22 and 23
Step-by-step explanation:
Given
[tex]Procedures = 2[/tex]
[tex]1 \to[/tex] Step 1
[tex]2 \to[/tex] Step 2
[tex]3 \to[/tex] Step 3
Required
List all possible experimental outcomes
From the question, we understand that:
[tex]Procedure\ 1 = 3\ steps[/tex]
[tex]Procedure\ 2 = 2\ steps[/tex]
So, the total possible steps (n) are:
[tex]n=Procedure\ 1 * Procedure\ 2[/tex]
[tex]n = 3 * 2[/tex]
[tex]n = 6\ steps[/tex]
Such that the 2nd steps cannot take the value of 3.
So, the outcomes are: 11, 12, 13, 21, 22 and 23
An electrician needs 4 7/10 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 9 2/5 rolls of wire?
Answer:
2 rooms
Step-by-step explanation:
Let; 4 7/10 = 47/10
9 2/5=47/5
So; if each room(1) = 47/10
47/5 should be x rooms
Equation form47/10 = 1
47/5 = x
cross multiplying
47/10x = 47/5
L.C.M = 10
10×47/10x = 10× 47/5
47x = 47 × 2
x = 47 × 2/47
x = 2
Therefore x being 9 2/5 rolls of wire will wire 2 rooms
a cylindrical barrel (drum) contains 42 gallons of oil. the diameter of this barrel is 18 inches
determine the radius of a barrel (drum) in centimetre.
Answer: 1.345714286
Step-by-step explanation:
This is the full answer, if you want to round it up. Then your welcome to do so.
A. 11.1
B. 6.7
C. 13
D. 4.1
Answer:
C. 13Line AE & Line AD have the same in measurement.what is the value of 3 3/8+1/2 ÷ 4/5 × 2
Answer:
ans: 37/ 32
Step-by-step explanation:
(33/8 + 1/2 ) / ( 4/5 ×2)
= { ( 33 + 4) / 8} / ( 8 / 2)
= 37/ (4×8)
= 37 / 32
hat is TR(N)* 2 calculated?
Question 10 (1 point) Find the volume of the figure. 2.5 ft 3 ft 2 ft 6 ft. What is the volume of the figure?
Answer:
I don’t know what type of figure you are talking about. But if there is supposed to be a picture attached, we see nothing
Step-by-step explanation:
You could repost this question though, I’ll be glad to help on that other question!
1. A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide, how long is it?
234 inches
294 inches
181.5 inches
412.5 inches
.
Answer:
294 in
Step-by-step explanation:
set a ratio w/l
11/14
set it equal to 231/x
x = length
[tex]\frac{11}{14}[/tex] = [tex]\frac{231}{x}[/tex]
cross multiply
11x = 3234
divide by 11
x = 294
Which of the following is true regarding the sequence graphed below?
an
35
30
25
• (5, 25)
20
15-
• (4. 16)
10 -
• (3,9)
5
• (2, 4)
1 2 3
4
5 6
7 8
9
n
The sequence is arithmetic because the terms have a common difference.
O The sequence is arithmetic because the terms do not have a common difference
Answer:
I think the answer is the sequence is arithmetic because the term have a common difference
The correct option is The sequence is not arithmetic because the terms do not have a common difference.
What is an arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.
Given is graph, we need to conclude the true about the graph,
Finding the common difference,
4-1 = 3
9-4 = 5
16-9 = 7
25-16 = 9
Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:
y=f(n)=n² where n=1,2,3,4,5,.....
That mean, the following sequence is not an arithmetic sequence as the common difference is different.
Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.
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Hello, I need help with this math question please
Option B:- x = -3/2 or x = 2
A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.
Answer:
$325.50, mentioned methods below.
Step-by-step explanation:
55% means it increases by 55%. an increase of 50% is basically taking half of the original amount . So a 50% increase of 4 would be 4 + .5*4 = 4+2 = 6
So for 210 that's 210 + .55*210 = 325.50
You could also factor to make it a little simpler.
210 + .55*210 = 325.50
210(1 + .55) = 325.50
210*1.55 = 325.50
.55 = 55/100 = 11/20
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.7.
Independently, she then decides whether or not to buy a CD, with a probability of 0.6 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
The probability that she buys fruit or buys a CD is 1.3.
The probability that she buys fruit and buys a CD is 0.42.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that she buys fruit or buys a CD = 0.7 + 0.6 = 1.3
The probability that she buys fruit and buys a CD = 0.7 X 0.6 = 0.42
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I need help on this question
Which of the following expressions is equivalent to 4 to the negative 3rd power
?
Answer:
[tex]4 ^{-3}[/tex]
or
[tex]\frac{1}{4^3}[/tex]
or
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
four to the negative power of 3 is = 4⁻³
Step-by-step explanation:
The answer is A (the first one). 4 to the negative 3rd power is 4^-3
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. You may use technology to compute your answers. 20–30 30–40 40–50 50–60 Total Private Practice 16 40 38 94 Hospital 8 44 59 111 Total 24 84 97 205
Answer:
1. The correct option is:
B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
2. The test statistic is -0.97.
3. The correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
Step-by-step explanation:
Note: This question is not complete and it contains some inconsistency errors in thee data. The correct complete question is therefore provided before answering the question. See the attached pdf for the correct complete question.
The explanation of the answer is now provided as follows:
1. State the null and alternative hypotheses.
Since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is:
B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
2. What is the test statistic?
Note: See the attached excel file for the calculation of total of (f1 * x), total of (f2 * x), total of (f1 * x^2) and total of (f2 * x^2).
From the attached excel file, we have:
N2 = Total of f2 = Sample size of Hospital = 150
M1 = Mean of Private-Practice = Total of (f1 * x) / N1 = 38.40
M2 = Mean of Hospital = Total of (f2 * x) / N2 = 43.60
S1^2 = Variance of Private-Practice = Total of (f1 * x^2) / N1 = 1,541.00
S2^2 = Variance of Hospital = Total of (f2 * x^2) / N2 = 1,975.67
Therefore, we have:
t = (M1 - M2) / ((S1^2 / N1) + (S2^2 / N2))^0.5 = (38.40 - 43.60) / ((1,541 / 100) + (1,975.67 / 150))^0.5 = -0.97
Therefore, the test statistic is -0.97.
3. What can you conclude at the 5% significance level?
At 5% significance level, the test statistic from the Z distribution table known as t-tab is 1.96.
Since our calculated test statistic is -0.9727 is less than 1.96, this implies that we fail to reject the null hypothesis (H0).
Again, since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
7 + 8/5-2
Could someone help me with this?
Answer:
hope it's helpful for you
Solve the inequality 4x – 7 < 5
Answer:
x < 3
Step-by-step explanation:
Given
4x - 7 < 5 ( add 7 to both sides )
4x < 12 ( divide both sides by 4 )
x < 3
How to learn tables 11 to 15
For 12 years old easyliy please tell guys
Answer:
For eleven, it had the same two numbers. For twelve, it continues up by even numbers. For thirteen, it's the same as twelve but by odd numbers. For fourteen, it's a little difficult but they have a pattern for every five multiples of fourteen. For fifteen, the numbers add by five but also counting up.
Step-by-step explanation:
Examples for the table of eleven would be: 11 × 3 = 33 or 11 × 6 = 66.
Table twelve would be (as examples): 12 × 2 = 24 and 12 × 3 = 36.
Table thirteen have numbers/answers like: 13 × 7 = 91 and 13 × 8 = 104.
Table fourteen as examples: 14 × 3 = 42 or 14 × 4 = 56.
Table fifteen would be like: 15 × 6 = 90 and 15 × 7 = 105.
20. What is the next term in the following sequence:
Please hurry
9514 1404 393
Answer:
(a) -1215/32
Step-by-step explanation:
The sequence is apparently geometric. The common ratio is ...
(-135/2)/90 = -135/180 = -3/4
Then the next term is ...
(405/8)(-3/4) = -1215/32
Answer:
abcdefg omlllfffg
Step-by-step explanation:
