Answer:
24 minutes
Step-by-step explanation:
5x6=30
4x6=24
question:
-12 = 24 + 4b
Answer:
b = -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-12 = 24 + 4b
-12 -24 = 4b
-36 / 4 = b
b = -9
Assume that the probability of error-free transmission of a message over a communication channel is p. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that: a) No retransmission is required. b) Exactly two retransmissions are required
This question is incomplete, the complete question is;
Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:
a) No retransmission is required.
b) Exactly two retransmissions are required
Answer:
a) probability that No retransmission is required is 0.90
b) the probability that exactly two retransmissions are required is 0.009
Step-by-step explanation:
Given the data in the question;
the probability of error-free transmission of a message over a communication channel is p = 0.9
a) probability that No retransmission is required will be;
Let x represent the error-free transmission of a message
Now, the P( error-free_transmission_of_a_message) = 0.90
so;
P( X=0 ) = 0.90( 1 - 0.90 )⁰
P( X=0 ) = 0.90( 0.1 )⁰
P( X=0 ) = 0.90( 1 )
P( X=0 ) = 0.90
Therefore, probability that No retransmission is required is 0.90
b) Probability that exactly two retransmissions are required will be;
P( X=2 ) = 0.90( 1 - 0.90 )²
P( X=2 ) = 0.90( 0.1 )²
P( X=2 ) = 0.90( 0.01)
P( X=2 ) = 0.009
Therefore, the probability that exactly two retransmissions are required is 0.009
Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.
A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.
Answer:
B
Step-by-step explanation:
I Had this
A group of friends wants to go to the amusement park. They have $363 to spend on parking and admission. Parking is $5.50, and tickets cost $35.75 per person, including tax. How many people can go to the amusement park?
Elena is selling tickets for an amusement park.
• She sells triple the number of student tickets as adult tickets.
• She sells 8 fewer senior tickets than adult tickets. If Elena sells 15 adult tickets, does she sell at least 100 total tickets?
Answer:
Adult Tickets 3a
Student Tickets = a
Senior Tickets a+8
Step-by-step explanation:
Answer:
a=students
3a=adults
3a+8=senior
Step-by-step explanation:
WILL GIVE BRAINEST!!! PLEASE HELP
Answer:
1.) The point (24,30) would not be on the line
2.) The point (12,13) would not be on the line either
4.) The slope is a fraction of 2/1
Bonus: y = (2/1)x - 2
Step-by-step explanation:
For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.
Let me know if you need more help!
:)
Mr. Williams is making wooden toy trucks for a craft show. He has 85 pieces of wood for the trucks
Each truck requires 6 pieces of wood.
Part A
How many toy trucks can Mr. Williams make? Enter your answer in the box.
00:00
Part B
How many pieces of wood will he have left? Enter your answer in the box.
Part A: He could make 14 toy trucks.
Divide 85 by 6.
85/6
14
(don't take any notice to the decimals)
Part B: He would have 1 piece of wood leftover.
6x14=84
Since Mr. Williams has 85 pieces of wood,
he would have 1 leftover.
Hope this helped!
Suppose that the length of research papers is uniformly distributed from 12 to 25 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
A.) Give the distribution of X. (round your standard deviation to two decimal places. X
∼ N (18.5, _____)
B.) Give the distribution of SumX. Round your standard deviation to two decimal places. SumX
∼ (1017.5, _____).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages. _____
Answer:
A.) X ~ N(18.5, 3.75)
B.) SumX ~ N(1017.5,27.8).
C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.
Step-by-step explanation:
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b.
The mean is given by:
[tex]M = \frac{a+b}{2}[/tex]
The standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The uniform distribution can be approximated to the normal, using its mean and its standard deviation.
Sum of n terms of a normally distributed variable:
The mean of the sum will be:
[tex]\mu_{s} = n\mu[/tex]
The standard deviation of the sum will be:
[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]
Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.
This means that [tex]a = 12, b = 25[/tex]
We survey a class in which 55 research papers were turned in to a professor.
This means that [tex]n = 55[/tex]
A.) Give the distribution of X.
The mean has already been given, and the standard deviation is:
[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]
So
X ~ N(18.5, 3.75)
B.) Give the distribution of SumX.
Sum of 55 papers, the standard deviation will be of:
[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]
So
SumX ~ N(1017.5,27.8).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages
This is 1 subtracted by the pvalue of Z when X = 1080. So
[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]
[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]
[tex]Z = 2.25[/tex]
[tex]Z = 2.25[/tex] has a pvalue of 0.9878
1 - 0.9878 = 0.0122
0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.
(FILL IN THE BLANK)
Analyze the graph of the exponential decay function.
The initial value is _____
The base, or rate of change is _____
The domain is _____
A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball? (V = 4/3(pi)r^3)
Make sure you do put the unit with this answer rounded to the tenth if necessary.
Answer:
The radius of the ball is of 6 feet.
Step-by-step explanation:
The radius of the ball in spheric format is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?
Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So
[tex]V = \frac{4\pi r^3}{3}[/tex]
[tex]904.32 = \frac{4\pi r^3}{3}[/tex]
[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]
[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]
[tex]r = 6[/tex]
The radius of the ball is of 6 feet.
Please help. And show your work or your content answer will be removed and your points will be taken away from the one's you get from me.Thank you!
Answer:
“It’s not hard to steal points”.........................................so thx for points....................................bye
Step-by-step explanation:
- Peter's bike bill is automatically
deducting $78 from his bank
account every month. If his bank
account balance is at $234, how
many months will it take for Pete to
run out of money?
PLEASE
what is the horizontal cross section of the figure shown helpppp ill give brainliest answer
Answer:
Square
Step-by-step explanation:
Probably square
can somebody help me please
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11plz help 52 points
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −108°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −4°C per hour.
-3t < -78
÷-3 ÷-3
_________
t > 26
78÷26=3
Answer:
If the current temperature is 0 degrees C then:
27 hours
Step-by-step explanation:
108 divided by 4=27 hours.
pleaseeeee help ill give brainliest answerrrrr
Answer:
A= 360
Step-by-step explanation:
360
Jake ran 6.8 miles yesterday and 10.4 miles today. How many more miles did he run today?
Answer:
3.6 more miles
Step-by-step explanation:
10.4 - 6.8 = 3.6
the square root of the sum of twice a number and 3 is 6. find the number
Answer in fraction form = 33/2
Answer in decimal form = 16.5
===========================================================
Work Shown:
n = some number
2n = twice that number
2n+3 = "sum of twice a number and 3"
[tex]\sqrt{2n+3}[/tex] = square root of the previous expression
The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]
We'll follow PEMDAS in reverse, undoing each operation, to isolate n
[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]
Answer:
[tex]\frac{33}{2}[/tex]
Step-by-step explanation:
In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:
Let x be the number:
[tex]\sqrt{2x+3 = 6 }[/tex]
In order to solve the problem:
[tex]\sqrt{2x+3}^2=6^2[/tex]
By squaring both sides to remove the exponent:
[tex]{2x + 3 = 36}[/tex]
Simplify:
[tex]{2x+3-3=36-3}[/tex]
Subtract 3 from both sides:
[tex]{2x = 33 }[/tex]
Then Simplifying further:
[tex]\frac{2x}{2} = \frac{33}{2}[/tex]
Divide both sides by 2 to remove 2 from the x.
[tex]{x = \frac{33}{2} }[/tex]
Thus, meaning the answer is [tex]\frac{33}{2}[/tex]
Hope this helps you.
two numbers have a sum of 527 and a difference of 195
Answer:
y+x = 527- 195
Step-by-step explanation:
correct me if im wrong pls anyone!
The sum of fifteen times a number and thirty is less than the difference of ten times a number and forty-five
Answer:
15x+30<10x-45
Step-by-step explanation:
The area of a parallelogram is 513cm² and the height is 19cm. Calculate the base length.
An examination class of 55% of pupil scored 70% , if 54% scored above 70%. how many scored above 70%.
Answer:
54
Step-by-step explanation:
Let us assume the examination class is of 100 students
Now 55% scored 70% so 55% of 100 is 55
And, the 54% scored above 70% so 54% of 100 is 54
Therefore there are 54 who scored above 70%
Hence, the same would be considered and relevant too
What is the volume of the following rectangular prism?
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
7. The prime factorization of which number is 2^5 x 5?
A) 50
B) 125
C) 160
D) 500
Harriet wants to buy items worth $248.50. She is using a store coupon for 25 percent off her purchases. She has to pay 5 percent sales tax. Calculate the total cost of the items.
A.
$195.70
B.
$186.38
C.
$177.06
Then determine the domain and range.
{(4,0), (3, 2), (3,0), (-3,-2), (4,-1)}
Can sb plz help ♂️
Answer:iscusses the domain and range of a function, and how to find the domain ... {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} ... If you find any duplicate x-values, then the different y-values mean that you do not have a function. ... I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}.
Step-by-step explanation:
how to find (a) and (b)?
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12
Step-by-step explanation:
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Put the items least to greatest based on the importance
Answer:
Hi
Step-by-step explanation:
A line has a slope of 7. One of the points on the line is (3,5). Which of the following could be
another point on the line?
A. (-1, -24)
B. (-2, -30)
C. (6, 24)
D. (10,55)
Answer:
c
Step-by-step explanation:
I think
The points that could be on the line
y = 7x - 16 are (-2, -30)
-30 = 7 X -2 - 16
-30 = -14 - 16
-30 = -30
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line has a slope = 7 and passes through the point (3, 5).
Now,
The equation of a line can be written as,
y = mx + c
m = 7
y = 3x + c
Now,
(3, 5) = (x, y)
5 = 7 x 3 + c
5 = 21 + x
5 - 21 = c
c = -16
The equation of the line.
y = 7x - 16
The points that could be on the line have to satisfy the equation.
y = 7x - 16
A.
(-1, -24)
y = 7 x -1 - 16 = -7 - 16 = -23
This is not true
B.
(-2, -30)
y = 7 x -2 - 16 = -14 - 16 = -30
This is true.
C.
(6, 24)
y = 7 x 6 - 16 = 42 - 16 = 26
This is not true.
D.
(10,55)
y = 7 x 10 - 16 = 70 - 16 = 54
This is not true.
Thus,
The points that could be on the line
y = 7x - 16 are (-2, -30)
-30 = 7 X -2 - 16
-30 = -14 - 16
-30 = -30
Option B is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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