Answer:
The proportion of 1s received at the end of the channel is of 0.598.
Step-by-step explanation:
In this question:
60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.
For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.
a. What is the proportion of 1s received at the end of the channel?
99% of 60%(sent 1s, received 1).
1% of 40%(sent 0s, received 1). So
[tex]p = 0.99*0.6 + 0.01*0.4 = 0.598[/tex]
The proportion of 1s received at the end of the channel is of 0.598.
How do i get X? i cant quite figure it out
Answer:
x is 90° I hope it will help you please follow me
Answer:
My answer came 78°
Step-by-step explanation:
First, B and C are alternate angles so,
71°= y (let) + 29°
Y= 42°
Then, X + 42 + 60 = 180°
X = 180 - 102
X = 78 °
Hope this helps. :)
How many distinguishable permutations for the letters in the word "reassessed" are there?
"reassessed" has a total of 10 characters, one of which (e) occurs 3 times and another (s) which occurs 4 times.
Taking each character to be distinct, there would be a total of 10! permutations. But we don't want to do that, and instead want, for instance,
rEassessEd
and
rEassessEd
to count as the same permutation. So we divide the previous total by the number of ways we can permute each set of repeated characters. For example, 3 e's can be rearranged in 3! ways.
So the total number of distinguishable permutations would be
10!/(3! × 4!) = 25,200
what is the least number of apples that can be shared equally among either 6, 10 or 15 children
Find the least common multiple.
List the multiples of each number:
6, 12, 18, 24, 30, 36, 42
10, 20, 30, 40
15, 30, 45
The least common multiple is 30.
The answer is 30
What is the inverse of the function () 2x 10?
Answer:
I assume that we want to find the inverse of the function:
f(x) = 2*x + 10
Remember that the inverse of a function f(x), is a function g(x) such that:
f( g(x) ) = g( f(x) ) = x
Because f(x) is a linear function, we can assume that g(x) will also be a linear function:
g(x) = a*x + b
let's find the values of a and b.
We will have that:
f( g(x) ) = 2*g(x) + 10 = 2*(a*x + b) + 10
And that must be equal to x, then we need to solve:
2*(a*x + b) + 10 = x
2*a*x + 2*b + 10 = x
this must be true for all values of x, so we can separate it as:
(2*a*x) + (2*b + 10) = x + 0
2*a*x = x (one equation for the terms with x)
2*b + 10 = 0
Solving these two equations we get:
2*b = -10
b = -10/2 = -5
2*a*x = x
2*a = 1
a = 1/2
Then the inverse function is:
g(x) = (1/2)*x - 5
A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods above the cost price?
Answer: [tex]25.9\%[/tex]
Step-by-step explanation:
Given
Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%
Suppose the marked price is [tex]x[/tex]
So, the selling price is [tex](1-0.15)x=0.85x[/tex]
Suppose the cost price is [tex]y[/tex]
[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]
So, the percentage the shopkeeper marked his goods above cost price
[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]
Use your exponent rules to express as a single power, 94 ÷ 272
Answer:
3196 to the 8th power
Step-by-step explanation:
the difference is that -24 is just an integer and (-2)4 is asking you to multiply -2 by positive 4
Which of the following best describes a basic postulate of Euclidean
geometry?
A. All circles measure 360°
B. All right triangles are congruent.
C. A straight line segment has a midpoint.
D. A straight line segment can be drawn between any two points.
Answer:
D. A straight line segment can be drawn between any two points.
Step-by-step explanation:
Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.
One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.
Others include;
I. All right angles are congruent.
II. All straight line segment is indefinitely extendable in a straight line.
ERCISE Find the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
Answer:
7.393691004
Step-by-step explanation:
7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data set is 20, 25, 30, 36, 32, 43
Firstly we have to find the mean
Mean=20+25+30+36+32+43/6
=186/6
=31
The deviations from the mean are 20-31=-11
25-31=-6
30-31=-1
36-31=5
32-31=1
43-31=12
Using the definition of standard deviation (σ) , we have:
σ=√121+36+1+25+1+144/6
σ=√328/6
σ=√54.66=7.4
Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
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Can someone help me out please
Answer:
answer is
4ft * 5ft
= 20ft^2
Mr. White and Co. has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.
Answer: 17/28
Step-by-step explanation:
Since there is a total profit of 6/7 million dollars and the spinning department gave a profit of 1/4 million, then the profit gotten from other departments will be the fraction of profit from the spinning department subtracted from the total profit. This will be:
= 6/7 - 1/4
= 24/28 - 7/28
= 17/28
The fraction of profit from other department is 17/28.
if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2
Answer:
f the mean of this set is equal to 20, we can write down the below equation,
20 = (x1 + x2 +x3 + .... + x10)/10
x1 + x2 + x3 + ... x10 = 200
Then we can also write an equation for the mean of the given numbers as below,
Mean = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10
= (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10
Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200
Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10
= 420/10
= 42
If you remember Arithmetic Progressions you can simply add together the above number set.
If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40
Here we want the addition of 10 terms. So we can use,
Sn = n/2(a+l)
S10 = 10/2(4+40)
= 220
Then you can easily get the answer,
Mean = (200 + 220)/10
= 42
Instructions: Find the measure of the indicated angle to the nearest degree.
?
33
8
Answer:
14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side /adj side
tan theta = 8/33
taking the inverse tan of each side
tan^-1 (tan theta) =tan^-1 (8/33)
theta = tan ^-1 (8/33)
theta =13.62699486
To the nearest degree
theta = 14
Solve (−3) ⋅ 2
please help
Answer:
-6
Step-by-step explanation:
3*2=6
so the opposite of 6 is -6
Also a negetive times a positive is always a negetive number
The mass of 5 m' of copper is 44 800 kg. Work out
the density of copper.
Which expression is equivalent to _/8/x^6? Assume x > 0?
Answer:
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We have the following expression:
sqrt 8 / x ^ 6
Rewriting we have:
sqrt (8 / x ^ 6)
sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
(2 / (x * x * x)) sqrt (2)
(2 / x ^ 3) * sqrt (2)
Answer:
An equivalent expression is given by:
(2 / x ^ 3) * sqrt (2)
What are angles a,b and c
Answer:
A=38°
B=84°
C=68will use the property of an isosceles triangle to find the answer
solve the formula for a
(q&c in picture)
Answer:
C
Step-by-step explanation:
Subtract Vot from the given equation
s - Vo*t = 1/2 a t^2 Multiply by 2
2(s - Vo*t) = at^2 Divide by t^2
2(s - Vo*t) / t^2 = a
Looks like C is the answer.
Usando a propriedade distribuitiva, calcule as multiplicação
a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)
Answer:
[tex]a) \left(4c-a\right)\times\left(4c+a\right)[/tex]
[tex]=\left(4c\right)^2-a^2[/tex]
[tex]=16c^2-a^2[/tex]
-------------------
[tex]b) (4x-3)\times(6x+1)[/tex]
[tex]=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1[/tex]
[tex]=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1[/tex]
[tex]=24x^2-14x-3[/tex]
-------------------
[tex]c)(x-y)\times(x^2+5y)[/tex]
[tex]xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y[/tex]
[tex]=x^2x+5xy-x^2y-5yy[/tex]
[tex]=x^3+5xy-x^2y-5y^2[/tex]
OAmalOHopeO
find the value of the unknown.
Answer:
86.5
[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]
Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwood flooring cost $750. Which flooring is more expensive per square meter?
Answer: Hardwood flooring
Step-by-step explanation:
Given
Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]
For hardwood flooring [tex]17\ m^2[/tex] cost $750
So, cost per square meter for different floors are
[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]
[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]
Thus, the cost of the Hardwood flooring is more expensive.
choose the equation that satisfies the data in the table
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
option D is correctWrite a two colomn proof given cd||ab prove EAB=ECD thanksssss
Answer:
See below.
Step-by-step explanation:
Statements Reasons
1. CD || AB 1. Given
2. <A is congr. to <ECD 2. Corresponding <s of || lines
3. <B is congr. to <EDC 3. Corresponding <s of || lines
4. Tr. EAB ~ Tr. ECD 4. AA Similarity
Answer:
Step-by-step explanation:
Statement Reason
AB // CD Given
∠BAE ≅ ∠DCE Corresponding angles are congruent
∠ABE ≅ ∠CDE Corresponding angles are congruent
ΔEAB ~ ΔECD A A Similarity
Which of the following is a defined term?
Angle
Line
Point
Plane
Angle is a defined term.
What is defined term?
In geometry defined term, that have a formal definition and can be defined using other geometrical terms is called a defined term.
According to the given question
We have some terms
Angle, Line, Point and Plane
Now,
In geometry, we can define an angle using undefined term of a line. That is we define an angle as the corners that are created when two non-parallel lines intersect each other, so angle is a defined term.
In Geometry, we define a point as a location or size .
A line is defined as something that extends infinitely in either direction but has no width and is one dimensional.
While plane extends infinitely in two dimensions.
Hence, line, point and plane are undefined terms.
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A polynomial p has zeros when x = -2, x = 1/3, and x =3.
What could be the equation of p? Choose 1 answer:
a. p(x) = (x + 2)(x + 3)(3x + 1)
b. p(x) = (x + 2)(x + 3) (3x - 1)
C. p(x) = (x + 2)(x - 3)(3x - 1)
D. p(x) = (x - 2)(x + )(3x + 1)
Answer:
p(x) = ( x +2) (3x - 1) ( x-3)
Step-by-step explanation:
We know the equation for a polynomial with given zeros is
f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant
Since the zeros are x = -2, x = 1/3, and x =3.
p(x) = a( x - -2) (x - 1/3) ( x-3)
p(x) = a( x +2) (x - 1/3) ( x-3)
We can pick the value of a since we are not given a point on the function. Pick a=3
p(x) = 3( x +2) (x - 1/3) ( x-3)
Rewriting the second term
p(x) = ( x +2) (3x - 1) ( x-3)
Basic Cable Company A charges $30 per month plus a setup fee of $75. Basic Cable Company B charges $40 per month, but due to a special promotion is not currently charging a setup fee. Write an equation for each cable company modeling the total cost y for a subscription lasting x months. When is it more economical for a person to choose Basic Cable Company B over Basic Cable Company A
Answer:
Basic Cable Company A= 30x + 75
Basic Cable Company B= 40x
After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper
Step-by-step explanation:
What Kind of Triangle is shown?
A. Isosceles Triangle
B. Acute Triangle
C. Scalene Triangle
D. Equilateral Triangle
Answer:
C
Step-by-step explanation:
C because it has sides unequal in length.
Answer: C
Step-by-step explanation:
Isosceles: 2 sides equal
Acute: angles are less than 90 degrees
Scalene: All side lengths are different
Equilateral: All sides are equal
please help me for this
SOMEONE HELP ME PLEASE
Answer:
I D K u tell me
Step-by-step explanation:
this is what u answersed another he/she question repeating u
Answer:
SHEEESSHHHHHHHHHH
Step-by-step explanation: life goes around and around
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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