Answer: See below
Step-by-step explanation:
1. x²-y²=55 or (x+y)(x-y)=55
2. x-y=5
Solution (1) (x+y)5=55
______ (2) x+y=55/5
______ (3) x+y=11
______ (4) x+y+x-y=11+5 The equation we got before we can use now
______ (5) 2x+y-y=16 see this y-y=0
______ (6) 2x=16 2x+0=16 that's mean 2x=16
______ (7) x=8 Got the answer
Hope that help
80)
The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car
travels. A car gets 11 miles per gallon at 42 mph. How many miles per gallon will it get at 61 mph? Round to the
nearest tenth if necessary. A) 16 miles per gallon B)7.6 miles per gallon C)0.13 miles per gallon D)0.06 miles per gallon
Answer:
The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph.
Step-by-step explanation:
hope this helps you :)
Helppppppppp?!!??please
Answer:
[tex]7.00[/tex]
Step-by-step explanation:
[tex]7.00+.48=7.48[/tex]
Answer:
The answer to the question is B) 7.00
Step-by-step explanation:
It says that
[tex]7.00 + 0.48=6.48[/tex]
But, That is wrong
So the correct version would be
[tex]7.00+0.48=7.48[/tex]
Hope this helps
For each menu item at a fast food restaurant, fat content (in grams) and number of calories were recorded. A scatterplot of these data is given:
sparta the restaurant decides to add six new high-calorie, low-fat pasta dishes to its menu.
What is a plausible value for the new correlation coefficient describing the relationship between fat and calories?
A plausible value for the correlation between fat content and calories is:__________.
A. +0.2.
B. –0.9.
C. +0.9.
D. –1.0
Answer:
Step-by-step explanation:
Hello!
Given the variables
Y-axis: X₁: Calories of a fast food menu.
X-axis: X₂: Fat of a fast food menu (grams)
The coefficient of correlation (r)
This coefficient shows the degree of correlation between the variables and its range of values is between -1 and 1
If r = 0 then there is no linear correlation between X₁ and X₂ Graphically, the slope is zero
If r < 0 then there is a negative association between X₁ and X₂ (i.e. when one variable increases the other one decreases) In a graphic, the slope of the line is negative.
If r > 0 then there is a positive association between X₁ and X₂ (i.e. Both variables increase and decrease together)
The closer to 1 or -1 the coefficient is, the stronger the association between variables. Using the absolute value of the correlation coefficients you can compare them, the greater the value, the stronger is the association between variables.
Looking at the scatter plot you can see that the number of calories grows with the fat content of the menu forming an approximately straight line, which means that there must be a strong positive correlation between these two variables. (using for example one of the options +0.90)
Meaning: To ↑x₁ corresponds ↑x₂ and to ↓x₁ corresponds ↓x₂
Now if the restaurant adds n=6 new menus with high calories (↑x₁) and low fat content (↓x₂) these new me nus won't follow a direct relationship, but an indirect one (negative correlation), so you'd expect the value of the correlation coefficient to drop (get closer to zero)
The coefficient won't get close to -1 since that would be a complete negative correlation (all foods having low fat and high calories), which could happen if the restaurant changed all menus.
Since they are only adding new ones, the new possible values for the coefficient of correlation could be A. +0.2 or D -0.1
I hope this helps!
In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 113. What is the probability that the sample proportion will be at most 2 percent more than the population proportion
Answer:
what
Step-by-step explanation:
what is the solution to linear system x-y=4 and x+y=2
Answer:
Step-by-step explanation:
x - y = 4
x + y = 2
2x = 6
x = 3
3 + y = 2
y = -1
(3, -1)
Use the Law of Cosines to determine the length of the third side of the triangle.
4.1 cm
350
6.7 cm
a 1 = 4.9cm
b. 1 = 5.3cm
C.
1 = 5.5cm
d. 1 = 4.1cm
Corrected Question
Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of [tex]35^\circ[/tex]. Use the Law of Cosines to determine the length of the third side of the triangle.
Answer:
(D) 4.1cm
Step-by-step explanation:
Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of [tex]35^\circ[/tex].
Using Law of Cosines
[tex]a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm[/tex]
The correct option is D.
Function c(x) = 5x
If your input was 2, what is your output?
(Bonus) A rectangular box has its edges changing length as time passes. At a par-ticular instant, the sides have lengthsa= 150 feet,b= 80 feet, andc= 50 feet.At that instant,ais increasing at 100 feet/sec,bis decreasing 20 feet/sec, andcisincreasing at 5 feet/sec. Determine if the volume of the box is increasing, decreasing,or not changing at all, at that instant.
Answer:
the volume of the box is increasing
dV = +310,000 ft^3/s
Step-by-step explanation:
Volume of a rectangular box with side a,b and c can be expressed as;
V = abc
The change in volume dV can be expressed as;
dV = d(abc)/da + d(abc)/db + d(abc)/dc
dV = bc.da + ac.db + ab.dc ......1
Given:
a= 150 feet,
b= 80 feet, and
c= 50 feet
ais increasing at 100 feet/sec,bis decreasing 20 feet/sec, andcisincreasing at 5 feet/sec
da = +100 feet/s
db = -20 feet/s
dc = +5 feet/s
Substituting the values into the equation 1;
dV = (80×50×+100) + (150×50×-20) + (150×80×+5)
dV = +400000 - 150000 + 60000 ft^3/s
dV = +310,000 ft^3/s
Since dV is positive, the volume of the box is increasing at that instant.
Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
£472.92
Step-by-step explanation:
£2100(0.78)^6
John Calipari, head basketball coach for the national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of million (USA Today, March 29, 2012). The following sample shows the head basketball coach's salary for a sample of schools playing NCAA Division basketball. Salary data are in millions of dollars.
University Coach's Salary University Coach's Salary
Indian 2.2 Syracuse 1.5
Xavier .5 Murry State .2
Texas 2.4 Florida State 1.1
Connecticut 2.7 South Dekota State .1
West Virginia 2.0 Vermont .2
A. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball (to 2 decimal).
B. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).
C. what is the 95% confidence interval for the population variance (to 2 decimals)?
D. what is the 95% confidence interval for the population standard deviation (to 2 decimals)?
Answer:
A) sample mean = $1.36 million
B) standard deviation = $0.9189 million
C) variance confidence interval = ($0.40 million, $2.81 million)
D) standard deviation confidence interval = ($1.93 million , $0.79 million)
*since the sample size is very small, the confidence interval is not valid.
Step-by-step explanation:
samples:
$2.7 million$2.4 million$2.2 million$2 million$1.5 million$1.5 million$0.5 million$0.5 million$0.2 million$0.1 millionsample mean = $1.36 million
the standard deviation:
$2.7 million - $1.36 million = 1.34² = 1.7956$2.4 million - $1.36 million = 1.04² = 1.0816$2.2 million - $1.36 million = 0.84² = 0.7056$2 million - $1.36 million = 0.64² = 0.4096$1.5 million - $1.36 million = 0.14² = 0.0196$1.5 million - $1.36 million = 0.14² = 0.0196$0.5 million - $1.36 million = -0.86² = 0.7396$0.5 million - $1.36 million = -0.86² = 0.7396$0.2 million - $1.36 million = -1.16² = 1.3456$0.1 million - $1.36 million = -1.26² = 1.5876total $8.444 million / 10 = $0.8444 millionvariance 0.8444
standard deviation = √0.8444 = 0.9189
in order to calculate the confidence interval for the population variance we are going to use a chi-square distribution with 2.5% on each tail ⇒ table values 2.7004 and 19.023 enclose 95% of the distribution.
[(n - 1) x variance] / 2.7004 = (9 x 0.8444) / 2.7004 = 2.81
[(n - 1) x variance] / 19.023 = (9 x 0.8444) / 19.023 = 0.40
95% confidence interval = mean +/- 1.96 standard deviations/√n:
$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million
$1.36 million - $0.57 million = $0.79 million
Find the slope of a line perpendicular to the graph of the equation. y = –8
Answer:
undefined
Step-by-step explanation:
y = -8 is a horizontal line with a slope of zero
A line that is perpendicular is a vertical line, which has a slope of undefined
find the next two terms in this sequence. 5,-5,10,-10,15,?,?
Answer:
I think the answer is -15
The National Health Statistics Reports dated Oct. 22, 2008, stated that for a sample size of 277 18-year-old American males, the sample mean waist circumference was 86.3 cm. A somewhat complicated method was used to estimate various population percentiles, resulting in the following values.5th 10th 25th 50th 75th 90th 95th69.6 70.9 75.2 81.3 95.4 107.1 116.4(a)Is it plausible that the waist size distribution is at least approximately normal? Explain your reasoning.
Answer:
It isn't plausible enough to at least say that the distribution is approximately normal because the percentiles given, when plotted on a number line aren't in any way symmetric about the mean as is required for a normal distribution.
Step-by-step explanation:
To investigate whether these values given for the distribution are plausible enough to at least say that the distribution is approximately normal, we will plot the given percentiles on a number line and indicate the median and mean too on that number line.
The spread of the other percentiles about the mean especially and to an extent, the median will show if the distribution is symmetric/ almost symmetric about the mean and the median.
The plot of these percentiles and the mean is presented in the attached image to this answer. The percentiles are indicated with deep dots and the mean is shown with a light square.
The plot shows that the distribution isn't symmetric about the mean and the median. The distribution appears to be skewed to the right.
Hence, it isn't plausible enough to at least say that the distribution is approximately normal because the percentiles given, when plotted on a number line aren't in any way symmetric about the mean as is required for a normal distribution.
Hope this Helps!!!
It isn't plausible that the waist size distribution is at least approximately normal.
What is the distribution of the mean?The distribution of the mean is determined by taking random samples from data and calculating the mean individually.
The given data
5th 10th 25th 50th 75th 90th 95th
69.6 70.9 75.2 81.3 95.4 107.1 116.4
To determine whether these values given for the distribution are plausible enough for the distribution to be approximately normal, we will plot the given percentiles on a number line and indicate the median and mean.
The plot of these percentiles and the mean shows percentiles that are indicated with deep dots and the mean is shown with a light square.
The plot shows that the distribution isn't symmetric between the mean and the median. The distribution appears to be skewed to the right.
Hence, It isn't plausible that the waist size distribution is at least approximately normal.
Learn more about mean;
https://brainly.com/question/794921
Which set of ordered pairs represents a function?
A {(2, 7), (2, 8), (3, 8)}
B {(3, 2), (3, 3), (3, 4)}
C {(4, 1), (5, 1), (4,4)}
D {(5, 6), (8, 6), (9, 6)}
does anyone know the answer
Answer:
Its D
Step-by-step explanation:
becasue the X is not repeating. the other are.
State whether the growth (or decay) is linear or exponential, and answer the associated question.
The value of a house is increasing by $1500 per year. If it is worth $120,000 today, what will it be worth in three
years?
Answer:
The growth is linear.
It will be worth $124,500 in three years.
Step-by-step explanation:
The value of a house is increasing by $1500 per year.
Fixed increase, that is, each year the value increases the same. So the growth is linear.
Value after t years:
The equation has the following format:
[tex]V(t) = V(0) + a*t[/tex]
In which V(0) is the current value and a is the yearly increase.
The value of a house is increasing by $1500 per year. It is worth $120,000 today.
Then [tex]V(0) = 120000, a = 1500[/tex]
So
[tex]V(t) = V(0) + a*t[/tex]
[tex]V(t) = 120000 + 1500*t[/tex]
What will it be worth in three years?
This is V(3).
[tex]V(t) = 120000 + 1500*t[/tex]
[tex]V(3) = 120000 + 1500*3[/tex]
[tex]V(3) = 124500[/tex]
It will be worth $124,500 in three years.
The growth is linear. The worth of the house after 3 years from now will be $124500.
Given information:
The value of a house is increasing by $1500 per year.
It is worth $120000 today.
The value of the house increases at a fixed rate of $1500 per year. So, it is a linear growth function.
Let the worth of the house after t years be V. The given situation can be written in equation form as,
[tex]V=V_0+rt\\V=120000+1500t[/tex]
Above equation represents the worth of house after t years.
So, the worth of the house after 3 years will be calculated as,
[tex]V=120000+1500t\\V(3)=120000+1500\times 3\\V(3)=120000+4500\\V(3)=124500[/tex]
Therefore, the worth of the house after 3 years from now will be $124500.
For more details, refer to the link:
https://brainly.com/question/24972665
8. (03.02 MC)
Given the function f(x) = 2(x + 10), find x if f(x) = 24. (1 point)
68
7
17
Answer:
x=2
Step-by-step explanation:
We know that
f(x)=2(x+10)
and
f(x)=24
Therefore, by substitution, we can set the 2 expressions equal to each other.
2(x+10)=24
Now, we need to solve for x. Perform the opposite of what is being done to the equation, and remember to perform everything to both sides.
2 and x+10 are being multiplied. The opposite of multiplication is division, so divide both sides by 2.
2(x+10)/2=24/2
x+10=24/2
x+10=12
10 is being added to x. The opposite of addition is subtraction. Subtract 10 from both sides.
x+10-10=12-10
x=12-20
x=2
Answer:
x=2
Step-by-step explanation:
....................................................
Evaluate 3(x - 1) + 2 when x= 5.
O A. 14
OB. 16
O c. 4
O D. 18
Answer:
A
Step-by-step explanation:
[tex]3(x-1)+2= \\\\3((5)-1)+2= \\\\3(4)+2= \\\\ 12+2=\\\\14[/tex]
Hope this helps!
Answer:
[tex]14[/tex]
Step-by-step explanation:
[tex]3(x - 1) + 2[/tex]
[tex]x= 5[/tex]
[tex]3(5 - 1) + 2[/tex]
[tex]3(4) + 2[/tex]
[tex]12 + 2[/tex]
[tex]=14[/tex]
A board of directors consists of 10 people, in how many ways can a chief executive officer, director, a treasurer, and a secretary be selected?
Answer:
The correct answer to the following question will be "5040".
Step-by-step explanation:
Given:
The number of directors,
n = 10
and they select on 4 peoples, then
Number of ways will be:
⇒ [tex]10_{P}_{4}[/tex]
⇒ [tex]\frac{10!}{10-4!}[/tex]
⇒ [tex]\frac{10!}{6!}[/tex]
⇒ [tex]\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}[/tex]
⇒ [tex]5040[/tex]
PLEASE HELP!!! Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Solution Step 1: Find the slope of the line 4x−5y=−10. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12). m= _____ What would the perpendicular slope be? m= _____ Step 2: Use the slope to find the y-intercept of the perpendicular line. b= ____ Step 3: Write the equation of the line that passes through the point (6,3) that is perpendicular to the line 4x−5y=−10 y= ____ x+ Answer
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-interceptPerpendicular lines have slopes that are negative reciprocals.
Example: 2 and -1/2Example: 3/4 and -4/3SolutionWe're given:
Perpendicular to [tex]4x-5y=-10[/tex]Passes through (6,3)1) Determine the slope
Let's first rearrange this equation into slope-intercept form:
[tex]4x-5y=-10\\-5y=-4x-10\\\\y=\dfrac{4}{5}x+2[/tex]
Notice how [tex]\dfrac{4}{5}[/tex] is in the place of m in y = mx + b. This is the slope of the give line.
Since perpendicular lines are negative reciprocals, we know the slope of the other line is [tex]-\dfrac{5}{4}[/tex]. Plug this into y = mx + b:
[tex]y=-\dfrac{5}{4}x+b[/tex]
2) Determine the y-intercept
We're also given that the line passes through (6,3). Plug this point into our equation and solve for b:
[tex]y=-\dfrac{5}{4}x+b\\\\3=-\dfrac{5}{4}(6)+b\\\\b=3+\dfrac{5}{4}(6)\\\\b=\dfrac{21}{2}[/tex]
Plug this back into our original equation:
[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]
Answer[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]
is y= 1/2x - 4 equal to 3x - 6y = 24
Answer:
[tex]\fbox{\begin{minipage}{4em}Yes, it is\end{minipage}}[/tex]
Step-by-step explanation:
3x - 6y = 24
Divide both sides by 6:
(3/6)x - (6/6)y = 24/6
Simplify:
(1/2)x - y = 4
Move y to the right side, 4 to the left side, and change sign of y and 4:
(1/2)x - 4 = y
Rearrange both sides:
y= (1/2)x - 4
Hope this helps!
:)
A trip took you 5 hours and you traveled 283.5 miles. If you averaged 49 mph
for the first part of the trip and 60 mph for the 2nd part, how long did you drive
at each rate?
Answer:
1.5 hr and 3.5 hr
Step-by-step explanation:
Time in the first part= x
Time in the second part= 5 - x
49x+60(5-x)=283.549x+300-60x=283.511x=300-283.511x= 16.5x= 16.5/11x= 1.5 hrand5-x= 5-1.5= 3.5 hrJustin and Hayley conducted a mission to a new planet, Planet X, to study arm length. They took a random sample of 100 Planet X residents. Then they calculated a 95% confidence interval for the mean arm length.
Answer:
The correct answer is I am 95% sure that this interval includes the population mean arm length.
Note: Kindly find an attached image or copy of the complete question to this solution below:
Sources: The complete question was researched from Quizlet and Course hero sites.
Step-by-step explanation:
Solution
From the given question, i will say that I am 95 % confident interval that this interval include the population mean arm length is correct because using sample mean and confidence level we can obtain an interval which gives us the certain level of confidence that population mean is within this interval and here we are 95% confident that population mean is within this interval.
if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!
Answer: 42) 2, 3 43) 144
Step-by-step explanation:
42)
1. n(P) = 8 + 5 = 13 (not 8) This statement is False.
2. n(Q but not P) = 9 This statement is True!
3. n(neither P nor Q) = 2 This statement is True!
4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8) This statement is False.
5. P ∪ Q = 8 + 9 - 5 = 12 (not 5) This statement is False.
43)
Fill in the Venn Diagram as follows (from left to right):
M only = 55 --> 89 - (17 + 4 + 13) = 55
M ∩ E = 17 --> 30 - 13 = 17
E only = 5 --> 46 - (17 + 13 + 11) = 5
B ∩ M = 4 --> 17 - 13 = 4
M ∩ E ∩ B = 13 --> given
B ∩ E = 11 --> 24 - 13 = 11
E only = 35 --> 63 - (13 + 4 + 11) = 35
(M ∪ E ∪ B)' = 4 --> given
Total = 144
a caj register contains $10 and $50 with a total value of$1080. If there are 28 bills total, then how many if each does the register contain?
Answer:
Step-by-step explanation:
We can solve by means of a system of equations:
let x register $ 10
let y register $ 50
Now, we have:
10 * x + 50 * y = 1080
x + y = 28 => <x = 28 - y
replacing:
10 * (28 - y) + 50 * y = 1080
280 - 10 * y + 50 * y = 1080
40 * y = 1080 - 280
y = 800/40
y = 20
now for x:
x = 28 - 20
x = 8
which means that in total there are 8 register of $ 10 and 20 register of $ 50
Find the focus and directrix of the parabola y = {(x + 2)2 – 3.
Answer:
focus: (-2, -2.75)directrix: y = -3.25Step-by-step explanation:
For focus-to-vertex distance "p", the equation of a parabola with vertex (h, k) can be written as ...
y = 1/(4p)(x -h)^2 +k
Comparing this to your equation, we see that ...
1/(4p) = 1
h = -2
k = -3
Solving for p, we find ...
1/(4p) = 1
1/4 = p . . . . . multiply by p
The parabola opens upward, so this means the focus is 1/4 unit above the vertex, and the directrix is 1/4 unit below the vertex.
focus: (-2, -2.75)directrix: y = -3.25Answer:
The focus is at (–2,–212) and the directrix is at y = –312.
Step-by-step explanation:
Find the focus and directrix of the parabola y=12(x+2)2−3.
got the answer right in the test.
Which expression is equivalent to (x - 5)(4x2 – 3x + 8)?
Answer:
(x - 5) (x (4 x - 3) + 8)
Step-by-step explanation:
4 x^3 - 23 x^2 + 23 x - 40
x (x (4 x - 23) + 23) - 40
(x - 5) (x (4 x - 3) + 8)
Adrian is training for a 5K race. She
ran 5.5 miles the first week, 7.25
miles the second week and 10 miles
the third week. On the average, how
many miles did she run per week?
Round to the nearest hundredth.
PLZ HELP PLZ!!!!!
To get this we divide the total miles she ran for the weeks by the no of weeks she ran.
Total miles =5.5 +7.25+10= 22.25 miles altogether.
no of weeks =3.
Average miles = 22.75 /3=7.583333≅7.58(nearest hundredth)
In a village
The number of houses and the number of flats are in the ratio 9:5
The number of flats and the number of bungalows are in the ratio 10:3
There are 30 bungalows in the village.
How many houses are there in the village?
Note: please make sure your final answer clear by writing ... houses
The number of houses are 180, and the number of flats are 100.
It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.
It is required to find the number of houses in the village if the number of bungalows is 30.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The ratio of the number of houses and the number of flats:
= 9:5 and
The ratio of the number of flats and the number of bungalows :
=10:3
It means we can write the ratio of the number of houses and the number of flats = 18:10
And the ratio of the number of:
Houses : Flats : Bungalows = 18:10:3
But the number of bungalows are 30.
Then the ratios are:
180:100:30
Thus, the number of houses are 180, and the number of flats are 100.
Learn more about the fraction here:
brainly.com/question/1301963
Given that the area of a rectangle is 36 square cm and its length is 12 cm. Find the
width of the rectangle.
Answer:
is 3
Step-by-step explanation:
because to find the area for a ractangle you have to multiply LxW and 12x3=36
QUESTION 23 What does a BER of 10-5 mean? a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above
Answer:
c. there is a probability of one error for every 100,000 bits transmitted
Step-by-step explanation:
What does a BER of 10-5 mean?
a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above
BER is an abbreviation for bit error rate.
BER is the percentage of bits with errors divided by the total number of bits that have been transmitted, received or processed over a given time period.
The rate is typically expressed as 10 to the negative power.
BER is the digital equivalent to signal-to-noise ratio in an analog system.
In this case [tex]10^{-5}[/tex] is the same as writing [tex]1 \times10^{-5}[/tex] which means there is a probability of 1 error for every 100,000 bits transmitted.