The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 8.2% daily failure rate.
a. What is the probability that the student's alarm clock will not work on the morning of an important final exam?.
b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam?
c. What is the probability of not being awakened if the student uses three independent alarm clocks?
The solution to the probabilities in this principle of redundancy are:
a) 0.082b). 0.006724c.) 0.000551How to solve for the probabilityA. The probability that the alarm clock of this student would not work on the morning of an important exam is
= 8.2%
= 0.082
b. The probability that the 2 alarms would fail on the morning of an important exam is
p(alarm 1 failing) x p(alarm 2 failing)
= 0.082 x 0.082
= 0.006724
c. The probability that the student would not wake with the use of 3 independent alarms
= p(alarm 1 failing) x p(alarm 2 failing) x p(alarm 3 failing)
= 0.082 x 0.082 x 0.082
= 0.000551
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Please please help me i need help with explanation please see picture
Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?
Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?
The selling price of the car is [tex]\[/tex]20400.
Given that,
Willa receives a commission of $1,020 for selling a car.
If the commission is 5% of the selling price.
What is the selling price of the car?
Let us take selling price of the car= x
We can write selling price of the car as
$1,020 =5%x
1020=[tex]\frac{x}{20}[/tex]
[tex]x=1020\times20[/tex]
[tex]x=20400[/tex].
Therefore, The selling price of the car is [tex]\[/tex]20400.
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Is the following relation a function? x y (1 4 )(−1 −2 )(3 10)( 5 16) a Yes b No
The relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
What is function?
A function is relation between a dependent [x] and independent [y] variable . The value of the dependent variable [y] depends upon the value of the independent variable [x].
Given is a relation defined by the following set of coordinates -
(1, 4) , (−1, −2 ) , (3, 10) , (5, 16).
For a given relation, defined by the given set of coordinates to be a function, there should be a unique value of y-coordinate for a unique value of x-coordinate. However, the value of y-coordinate can be same for different values of x-coordinates. From the relation given, we can see that - for every value of x, there are unique values of y. Hence, the given relation is a function.
Therefore, the relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
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Using your answer in number two what is 60% of 800
Students
Answer:
480
Step-by-step explanation:
first convert 60% into a decimal which is 0.6, then 800 x 0.6 which you would get 480.
A barge (flat bottomed freight boat) moving with a speed of 1.00 m/s increases speed uniformly, so that in 30.0 seconds it has traveled 60.2 m. What is the magnitude of the barge's acceleration?
Answer:(a) Choose the initial point where the pilot reduces the throttle and the final point where the boat passes the buoy: X
i
=0,X
f
=100m,
V
xi
=30m/s,V
xf
=?,a
x
=−3.5m/s
2
,andt=?
X
f
=X
i
+V
xi
t+
2
1
a
x
t
2
100m=0+(30m/s)t+
2
1
(−3.5m/s
2
)t
2
(1.75m/s
2
)t
2
−(30m/s)t+100m=0
We use the quadratic formula:
t=
2a
−b±
b
2
−4ac
t=
2(1.75m/s
2
)
30m/s±
900m
2
/s
2
−4(1.75m/s
2
)(100m)
=
3.5m/s
2
30m/s±14.1m/s
=12.6s or 4.53s
The smaller value is the physical answer. If the boat kept moving with the same acceleration, it would stop and move backward, then gain speed, and pass the buoy again at 12.6s.
(b) V
xf
=V
xi
+a
x
t=30m/s−(3.5m/s
2
)4.53s=14.1m/s
Step-by-step explanation:
\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}
The value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25
How to evaluate the expression?The expression is given as
\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}
Rewrite properly as
[tex]\frac{6\div \frac{3}{8} \times 0.5}{1.44\div 4.5}[/tex]
This implies that
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5]
Express the quotient as product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [6 x 8/3 x 0.5]/[1.44 ÷ 4.5]
Evaluate the product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [8]/[1.44 ÷ 4.5]
Evaluate the quotient
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8/(8/25)
Express the quotient as product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8 x 25/8
Evaluate
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 25
Hence, the value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25
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2. 2x + 7 = 1, because x = -3.0
If then
Answer:
x = -3
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+7=1
Step 1: Subtract 7 from both sides.
2x+7−7=1−7
2x=−6
Step 2: Divide both sides by 2.
2x/2 = −6/2
x=−3
Which equation matches the graph of the greatest integer function given
below?
The correct is option B. y = [x] + 3; for the given graph of the greatest integer function.
What is defined as the greatest integer function?The greatest integer function returns the largest integer that is less than or equal to x; x represents this function.The greatest integer function is one that returns an integer that is closer to the given real number. It is also known as the step function. This function will return the nearest integer to the given number.Let g(x) be the given graph's function.
The parent function for which is,
f(x) = [x]
In which case, f(x) = 0 in the range [0, 1].
However, according to the graph,
g(x) = 3 in the interval [0,1].
F(x) is moved vertically upward.
→ g(x) = f(x) + 3
→ g(x) = [x] + 3
Thus, the graph for greatest integer function if for equation: y = [x] + 3.
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|3x| ≤ 12 please help
Answer: 7
Step-by-step explanation: ‘Sup guys, My name is Quandale Dingle. I am breaking out of prison on may 14, 2023. I am currently imprisoned in southern Saudi Arabia for various felonies.
Whats the domain of the graph ?
1
2
3
4
Answer:
A
Step-by-step explanation:
The less than signs are not less than or equal to when there is open circles. In this situation, there is no open circles, so it is A.
Solve (2x - 4) <8.
x= <5
x=<2
x=<6
x=4
Answer:
X = <6
Step-by-step explanation:
(2x - 4) < 8
2x - 4 + 4 < 8 + 4
2x < 12
2x/2 < 12/2
x < 6
Hope this helps! :)
As the tax assessor for Indian Creek County, you have been informed that due to budgetary demands, a tax increase will be necessary next year. The total market value of the property in the county is $400,000,000. Currently, the assessment rate is 35% and the tax rate is 30 mills. The county commission increases the assessment rate to 55% and the tax rate to 35 mills.
(a)
How much property tax (in $) was collected under the old rates?
$
(b)
How much more tax (in $) revenue will be collected under the new rates?
$
The amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.
(a) Take a look at the information provided.
$400,000,000 is the fair market value, and the assessment rate is 35%.
Thus, 35% = 35/100 = 0.35
Since fair market value x assessment rate equals assessment value
400,000,000 x 0.3 = 140,000,000
30-mill old property tax rate
To convert the tax rate from mills to decimal, multiply it by 0.001.
30x 0.001 = 0.03
Then, multiply the old tax rate by the previous assessment value of the property to determine the amount of property tax owed: 140,000,000 x 0.03 = 4,200,000.
Therefore, the amount of property tax that was collected at the previous rates was $4,200,000.
(b) The price at fair market is $400,000,000.
The evaluation rate is 45%.
45% = 45/100 = 0.45
As, or in other words,
assessment value = fair market value multiplied by the assessment rate.
As a result,
400000000 x 0.45 = 180000000
30 mills is the old property tax rate.
To compute the tax rate in decimal notation, multiply the millage rate by 0.001.
30 x 0.001 = 0.03
Calculate the property tax owing by multiplying the old tax rate by the previous assessment of the property: 180000000 x 0.03 = 5400000.
Therefore, the amount of property tax that was gathered at the new rates is 5,400,000.
Hence, the amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.
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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. The actual book is blank inches
The size of the actual book is 9 inches. The actual book is 18 inches long and is blank inside.
What is an inch?The inch is used as a unit of length in both the British imperial and American customary measurement systems. It is the same as one-twelfth of a foot or one-third of a yard.
What is meant by measuring?The characteristics of an object or event are measured and quantified so that they can be contrasted with those of similar objects or occurrences. Therefore, measurement is the process of determining the size or smallness of a physical quantity in relation to a primary reference quantity of a similar kind.
based on the available facts;
we use formula, wide/tall
wide=1.5inches
tall = 3inches
wide/tall=1.5/3=9/x
(equal ratio)
1.5x=9*3
x=27/1.5
x=18
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2(x-3) + 5x less than or equal to 9x - 14
Answer: It would most llikely be more than, but im not sure.
y cubed plus 11 y to the power of 4 plus 10 y squared plus y to the power of 4 plus 6 y cubed
The simplified form of the given expression is [tex]10y^{2}+7y^{3}+12y^{4}[/tex].
The given expression is [tex]y^{3}+11y^{4}+10y^{2}+y^{4}+6y^{3}[/tex].
We need to simplify the given expression.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
To simplify any algebraic expression, the following are the basic rules and steps:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.Use the exponent rule to remove grouping if the terms are containing exponents.Combine the like terms by addition or subtraction.Combine the constants.Now, [tex]y^{3}+11y^{4}+10y^{2}+y^{4}+6y^{3}[/tex]
= [tex]10y^{2}+7y^{3}+12y^{4}[/tex]
Therefore, the simplified form of the given expression is [tex]10y^{2}+7y^{3}+12y^{4}[/tex].
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Match the solution to its expression.
In an experiment D and T are both measured correct to 2 significant figures. When D = 8.5 and T = 0.32. Find the lower bound of S. Write the result to 3 decimal places.
The lower bound of S is 26.412 .
Lower bound: The value below each element in the dataset. Upper bound: The value greater than or equal to each element in the dataset. Upper and lower bounds are the maximum and minimum values a number could have before it was rounded. They are also called precision limits. Upper and lower bounds can be written in terms of error intervalsIt is given that D = 8.5 and T = 0.32 and a relation between S and D which is given by [tex]S=\frac{D}{T}[/tex] . Putting value of D and T we get
[tex]S=\frac{8.5}{0.32} \\\\S=26.562[/tex]
The place value of the degree of accuracy is 0.3.
Divide this place value by 2 , we get
[tex]\frac{0.3}{2} =0.15[/tex]
To find the lower bound , we will subtract this amount from the given value , we get
[tex]26.562-0.15=26.412[/tex]
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The complete question mention below :
S=D/T
In an experiment D and T are both measured correct to 2 significant figures.
When D= 8.5 and T=0.32, find the lower bound for S.Write the result to 3 decimal places.
Tom has one hundred forty-four blue marbles. Tom has eighteen times more blue marbles than Mike. How many blue marbles does Mike have?
Answer:
18 Blue Marbles
Step-by-step explanation:
Let M be the number of blue marbles that Mike has.
From the information from the question, we can deduce:
18M = 144 blue marbles
Now we solve for M to find the number of blue marbles that Mark has.
M = 144 ÷ 18
= 8 Blue Marbles
What is the slope of the line that contains the points (4, 3) and (2, 7)?
The area of a square poster is 38 in.². Find the length of one side of the poster to the nearest tenth of an inch.
The length of one side of the poster is
(Round to the nearest tenth as needed.)
in.
Answer:
6.1 inches
Step-by-step explanation:
You need to find the square root of 38 which is 6.1 when rounded to the nearest ten
Steven has a rope that is 6 ft long. He cuts it into 9 pieces, as shown in the model.
Which number will make the equation true 7+2 = 16 - _
Answer:
7
Step-by-step explanation: they want you to get 9 in order to get 9 the answer will 7 and it will subtract 16 which will equal 9 so the answer it 7.
trust ur guts
Please answer the question in the picture, I will mark brainliest
Answer options are:
A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6
Answer:
B
Step-by-step explanation:
My mom is a teacher lol
A sequence of translations maps triangle ABC to triangle A'B'C'.
triangle ABC has vertices at A(-8,2), B(13,2), C(-2,10)
coordinates for A' are (-1,-3)
What are the coordinates for B'? (use parenthesis around the point)
Answer:
Down Below Is the answer!
Step-by-step explanation:
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. Euclid2 In the right triangle ABC with a right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle.
Benny received an amount of money on Monday. Every subsequent day, the amount of money he received was twice as much as that received the previous day. On the fifth day, he received $112. How much money did he receive on Monday?
Answer:
He received $7
Step-by-step explanation:
$7 - Monday {first day}
$7 × 2 = $14 Tuesday {second day}
$14 × 2 = $28 Wednesday {third day}
$28 × 2 = $56 Thursday{ fourth day}
$56 × 2 = $112 friday {fifth day}
What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.
On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
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Determine what type of functions the following are and explain how you know:
1. f(x) = 3^(-2x)
2. f(x) = 3x^2
(The options are quadratic or exponential function)
Answer:
1. exponential
2. quadratic
Step-by-step explanation:
2. because the variable has the power two and such functions are regarded as quadratic functions
Nina can buy a video game console for $78, and rent a game for $8.95 per week. Or she can rent a console and game for $24.99 per week. Which
inequality can be used to find the number of weeks after which it would be cheaper to buy the console than to rent it?
A.78-8.95z, < 24.99
B.78+8,952 < 24.99z
C.78-8.95z> 24.99z
D.78+8.95z> 24.99z
The inequality that can be used to find the number of weeks after which it would be cheaper to buy the console than to rent it is B.78 + 8.95z, < 24.99z
How to calculate the inequality?From the information, Nina can buy a video game console for $78, and rent a game for $8.95 per week or she can rent a console and game for $24.99 per week.
The appropriate inequality will be:
= 78 + (8.95 × z) < 24.99 × z
= 78 + 8.95z, < 24.99z
Therefore, the correct option is B.
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help me w math pls thx
Answer:
Step-by-step explanation:
