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mathstatistics and probabilitystatistics and probability questions and answerschristmas lights are often designed with a series circuit. this means that when one light burns out, the entire string of lights goes black. suppose the lights are designed so that the probability a bulb will last 2 years is 0.995. the success or failure of a bulb is independent of the success or failure of the other bulbs. a) what is the probability that
Question: Christmas Lights Are Often Designed With A Series Circuit. This Means That When One Light Burns Out, The Entire String Of Lights Goes Black. Suppose The Lights Are Designed So That The Probability A Bulb Will Last 2 Years Is 0.995. The Success Or Failure Of A Bulb Is Independent Of The Success Or Failure Of The Other Bulbs. A) What Is The Probability That
Christmas lights are often designed with a series circuit. This means that when one light burns out, the entire string of lights goes black. Suppose the lights are designed so that the probability a bulb will last 2 years is 0.995. The success or failure of a bulb is independent of the success or failure of the other bulbs.
A) What is the probability that in a string of 100 lights all 100 will last 2 years?
B) What is the probability at least one bulb will burn out in 2 years?
Answers
A) The probability that all 100 lights will last 2 years is 0.9048.
B) The probability that at least one bulb will burn out in 2 years is 0.0952.
What is the probability?A) To find the probability that all 100 lights will last 2 years, we assume that the success or failure of each bulb is independent.
The probability of a single bulb lasting 2 years is 0.995, so the probability of all 100 bulbs lasting 2 years is:
P(all 100 bulbs last 2 years) is (0.995)¹⁰⁰ ≈ 0.9048
B) The probability that at least one bulb will burn out in 2 years is determined using the complement rule.
P(at least one bulb burns out) = 1 - P(no bulbs burn out)
Since the probability of a single bulb lasting 2 years is 0.995, the probability of a single bulb burning out in 2 years is 1 - 0.995 = 0.005.
The probability of at least one bulb burning out in 2 years is:
P(at least one bulb burns out) = 1 - P(no bulbs burn out)
P(at least one bulb burns out) = 1 - 0.9048
P(at least one bulb burns out) ≈ 0.0952
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Related Questions
Solve for x. Leave your answer in simplest radical form.
*sooo I got 14/5..... I don’t think that’s the right answer
Answers
Answer:
Square root of 35 or 5.9160797831
Step-by-step explanation:
Enter the number that goes beneath the radical symbol
Answers
Answer:
185
Step-by-step explanation:
It seems like you're using the Pythagorean theorem, which would mean that b is equal to \(\sqrt{11^2 -8^2}\), which is equal to \(\sqrt{185}\). The number beneath the radical symbol is 185.
Can somebody help me out pleaseeee ??
Answers
Answer:
67.5cm^2
Step-by-step explanation:
area of a triangle is 0.5xaxb
answer : 54cm^2
pythagorus’ theorum : a^2 + b^2 = c^2
so 9^2 + x^2 = 15^2, x being the missing length
work out x ...
81 + x^2 = 225
x^2 = 144
x = 12
area of a triangle : 0.5 x base x height
so 0.5 x 9 x 12 = 54
How do you find the slope of a perpendicular line with an equation and point?
Answers
First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.
By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
1. Sovannon works as an electrician and earns $36.50/hr. If it takes her 25 hours
to completely wire a basement, how much will she earn?
Answers
Answer:912.50
Step-by-step explanation:
the graph of a function is a parabola that has a minimum at (-1,-2) and goes through the point (0,1) what is the equation of the function in the standard form
Answers
Given:
Vertex at (-1,-2)
Goes through point (0,1)
The vertex form of a quadratic equation is defined as
\(\begin{gathered} y=a(x-h)^2+k \\ \text{where} \\ (h,k)\text{ is the vertex of the equation} \end{gathered}\)Substitute (h,k) with the vertex (-1,-2)
\(\begin{gathered} y=a(x-h)^2+k \\ y=a(x-(-1))^2+(-2) \\ y=a(x+1)^2-2 \end{gathered}\)Now we solve for a, by substituting (x,y) with (0,1) to the vertex form of the previous equation.
\(\begin{gathered} y=a(x+1)^2-2 \\ 1=a(0+1)^2-2_{} \\ 1=a(1)^2-2 \\ 1=a(1)-2 \\ 1=a-2 \\ 1+2=a \\ a=3 \end{gathered}\)Putting it together with the vertex form we have
\(y=3(x+1)^2-2\)Expand the equation, and change it into standard form
\(\begin{gathered} y=3(x+1)^2-2 \\ y=3(x^2+2x+1)-2 \\ y=3x^2+6x+3-2 \end{gathered}\)Simplify further, and the equation of the parabola in standard form is
\(y=3x^2+6x+1\)Determine the magnitude of the final velocity of A just after collision. Express your answer to three significant figures and include the appropriate units. Two smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. The coefficient of restitution is e 0.55. Suppose that (vA)7 m/s, (vB) 4 m/s Figure 1) (vA)2-Value Units Figure 1 of1 Submit Request Answer Part B Determine the angle between the axis and the final velocity of A just after the collision, measured counterclockwise from the positive axis. Express your answer using three significant figures. vec (VB)I
Answers
a. The magnitude of the final velocity of disk A just after the collision is 1.85 m/s.
b. The angle between the axis and the final velocity of A just after the collision is 90 degrees.
a. Using conservation of momentum and the coefficient of restitution, we can find the final velocities of the disks after the collision. The momentum of the system before the collision is:
p = mAvA + mBvB
where mA and mB are the masses of disks A and B, and vA and vB are their velocities before the collision. Subscript A refers to disk A and subscript B refers to disk B.
The momentum of the system after the collision is:
p' = mAv'A + mBv'B
where v'A and v'B are the velocities of the disks after the collision.
Conservation of momentum requires that p = p', so we have:
mAvA + mBvB = mAv'A + mBv'B
Solving for v'A, we get:
v'A = (mA vA + mB vB + e mB (vB - vA)) / (mA + mB)
where e is the coefficient of restitution.
Substituting the given values, we get:
v'A = (0.5 kg)(7 m/s) + (0.5 kg)(4 m/s) + 0.55(0.5 kg)(4 m/s - 7 m/s) / (0.5 kg + 0.5 kg)
v'A = 1.85 m/s
Therefore, the magnitude of the final velocity of disk A just after the collision is 1.85 m/s.
b. To find the angle between the axis and the final velocity of A just after the collision, we can use the fact that the final velocity vector makes an angle θ with the positive x-axis, where:
tan(θ) = v'Ay / v'Ax
where v'Ay and v'Ax are the y- and x-components of the final velocity vector, respectively.
Since disk B is moving only in the y-direction, we know that the final velocity vector of disk A must also lie in the y-z plane, and therefore its x-component is zero. Thus, we have:
tan(θ) = v'Ay / 0
tan(θ) = undefined
This means that the angle θ is 90 degrees, or π/2 radians, counterclockwise from the positive x-axis. Therefore, the angle between the axis and the final velocity of A just after the collision is 90 degrees.
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Topic: Probability
Only complete question 6.
Answers
Answer:
see below
Step-by-step explanation:
a) see attached chart
b) sum is 10
There are 3 that total to 10 (4,6) (5,5) and (6,4) and there are 36 possible outcomes
P(10) = number of outcomes that sum to 10 / total number of outcomes
=3/36
= 1/12
c) identical numbers There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
d product a multiple of 10 ( 5,2) (5,4) (5,6) (2,5) (4,5) (6,5) are the only ones with a product multiple of 10
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
What is the answer to
Graph y=−x−2.
Answers
this is the answer is -10 not sure tho
Assessment Example: How will the graph of the function f(x) = 3^x translate when the function is changed to f(x) = 3^(x-2) a. Shift 2 units up b. Shift 2 units down c. Shift 2 units left d. Shift 2 units right
Answers
We know it won’t be up or down because the 2 would have to be on the outside. It must be to the right because it will go the opposite of the sign in the parentheses (in this case -2). So instead of going left you’d go right!
Answer:
d
Step-by-step explanation:
One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.
answer choices
- Observational Study
- Experiment
Answers
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
What is Observation and Experiment ?The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.
Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.
An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
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4. What is the product of the polynomials shown below? (2x - 5)(x + 7)
Answers
Hope it help you ^^
Answer:
2x^2+9x-35
Step-by-step explanation:
(2x-5)(x+7)
=2xx + 2x x 7 + (-5)x + (-5) x 7
=2xx + 2 x 7x - 5x - 5 x 7
=2x^2+9x-35
A square tile mesures 20 cm by 20cm a rectangular tile is 3 cm longer and 2 cm narrower. What is the different in area between the two tiles?
Answers
Answer:
Rectangular tile has 14 cm² larger area-----------------
Find each area and then find their difference.
A(square) = 20² = 400 cm²A(rectangle) = (20 + 3)(20 - 2) = 23*18 = 414 cm²The difference is:
414 - 400 = 14 cm²A train travels at a constant speed during a portion of its cross county route the table shows the distance the train traveled over different intervals of time at this speed.
what is the Speed of the train in Miles per hour?
Answers
The Speed of the train in Miles per hour will be 105 miles per hour.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.
The slope represents the speed of the train. Then we have
m = (157.5 - 131.25) / (1.50 - 1.25)
m = 26.25 / 0.25
m = 105 miles per hour
The Speed of the train in Miles per hour will be 105 miles per hour.
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PLEASEE HELP!!! find the area
(look at the picture)
Answers
Answer: Area= 60The Area is 60
Step-by-step explanation: Multiply 5 and 12 and you get 60!! I hope it helped!
please help me answer this question asap
Answers
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
April works as an emergency medical technician (EMT) and is a photographer. As an EMT she earns $19 per hour. Last week she worked t hours as an EMT and her friend paid her $100 for a photoshoot. Write an expression to represent the total amount April earned last week.
Answers
The expression that represents the total amount earned last week $100 + $19t.
What is the expression?
The expression is a function of the amount her friend paid for the photoshoot, the hours worked and the wages per hour.
Total pay = (amount earned per hour x total hours worked) + amount paid for photoshoot
($19 x t) + $100
$19t + $100
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The population of Nigeria can be approximated by the function P(t)=130.5-(1.024) where t is the number of years since the beginning of 2002 and P is the population in millions. a) What was the population of Nigeria at the beginning of 2002? b) What was the population of Nigeria at the beginning of 2008? c) (Solve graphically; include a screen shot.) During which year should we expect the population of Nigeria to reach 250 million?
Answers
We can conclude that the population of Nigeria will not reach 250 million within a reasonable time frame. Here is step by step solution :
a) The population of Nigeria at the beginning of 2002 was 130.5 million. The population is given by the formula
P(t) = 130.5 - 1.024t.
Since t is the number of years since the beginning of 2002, we can find P(0) to get the population at the beginning of 2002. So,
P(0) = 130.5 - 1.024(0)
= 130.5 million.
b) The beginning of 2008 is 6 years after the beginning of 2002, so we can find P(6) to get the population at that time.
P(6) = 130.5 - 1.024(6)
= 124.3 million.
So, the population of Nigeria at the beginning of 2008 was 124.3 million. c) To find when the population of Nigeria will reach 250 million, we can set P(t) = 250 and solve for t. So,
250 = 130.5 - 1.024t
t = -119.5/(-1.024) ≈ 116.6 years after the beginning of 2002. This is not a realistic answer, as it implies that the population will decrease before reaching 250 million. Alternatively, we can graph
P(t) = 130.5 - 1.024t and the horizontal line
y = 250 and find where they intersect.
However, this is not a realistic answer, as it implies that the population will decrease before reaching 250 million. Therefore, we can conclude that the population of Nigeria will not reach 250 million within a reasonable time frame.
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WILL GIVE BRAINLEST FOR THE FIRST AND CORRECT ANSWER!!!!!!!!!! PLEASE ANSWER ASAP!!!!!
The equation y = 1.5x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether (1.5, 1) is a point on the graph of this proportional relationship.
A. yes
B.no
Answers
Answer:
yes... PERIODT
Step-by-step explanation: i promise you its yes
Answer:
Yes
Step-by-step explanation:
Ixl please help please
Answers
The ordering of the topics from broader to narrowest are given as follows:
The influence of popular media on elections.The influence of television programs on elections.The influence of televised debates on elections.What are broad and narrow topics?Broad topics are topics that affect a larger amount of the population than narrower topics affect.
In the context of this problem, we have that the television is a subset of the popular media, hence the popular media is broader than the television.
Televised debates are one program on the television, that is, it is a subset of the television, hence television programs are broader than television debated.
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Liz flips a coin 60 times. The coin lands heads up 42 times and tails up 18 times. Complete eachstatement.The theoretical probability of the coin landing heads up is [%.
Answers
Given:
The number of times coin flipped is N = 60.
The number of heads is n(H) = 42.
The number of tails is n(T) = 18.
The objective is to find the theoretical probability of coin landing heads up.
Explanation:
The general probability of coin landing heads is,
\(P(H)=\frac{n(H)}{N}\text{ . . . . . .(1)}\)On plugging the given values in equation (1),
\(P(H)=\frac{42}{60}=0.7\)To obtain the percentage of probability,
\(\begin{gathered} P(H)=0.7\times100 \\ =70\text{ \%} \end{gathered}\)Hence, the probability of the coin landing heads up is 70%.
6,000 people attended the opening of a new grocery store. 3, 832 of the people were men. How many woman attended the opening?
Answers
Answer:2,168
Step-by-step explanation:
6000-3832=2168
How many students received Ds or Fs?
Answers
Answer:
15% of the students got d's, and 5% got f's.
Answer:
15% Of Students!
Hope that this helps!!! :)
what is the solution to this problem? 2 | x+5 | =4
Answers
Answer:
x = -7
x = -3
Step-by-step explanation:
Given the following question:
\(2\left|x+5\right|=4\)
To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.
\(2\left|x+5\right|=4\)
\(\frac{2\left|x+5\right|}{2}=\frac{4}{2}\)
\(\left|x+5\right|=2\)
Apply absolute value:
\(x+5=-2\)
\(x+5=2\)
Solve each equation:
\(x+5=-2\)
\(5-5=0\)
\(-2-5=-7\)
\(x=-7\)
\(x+5=2\)
\(5-5=0\)
\(2-5=-3\)
\(x=-3\)
Your answers are "x = -3 and x = -7."
Hope this helps.
Answer:
x = -3
x= -7
Step-by-step explanation:
l x + 5 l = 4/2
(x + 5) = 2 or - (x + 5) = 2
- (x + 5) - 5 = 2 - 5
x = -3
- x - 5 = 2
- x - 5 + 5 = 2 + 5
-x = 7
x = -7
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answers
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
Answers
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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algebra 2-2
solve \(\sqrt{x}+3=-6\)
√x+3=-6
Answers
The solution of equation is x=-3
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given
The equation;√x+3=-6
Now,
√x=-6-3
√x=-9
x=-3
Therefore the answer of the given equation will be -3
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FILL IN THE BLANK. ___ is the ratio of the number of transactions that include all items in the consequent as well as the antecedent to the number of transactions that include all items in the antecedent.
Answers
Confidence is the ratio of the number of transactions that include all items in the consequent, as well as the antecedent (the support) to the number of transactions.
What are association rule antecedents and consequents?
A precursor is an element in the data. The consequent is an element found in combination with the antecedent. Association rules are created by searching data for common if-then patterns and using support and confidence criteria to identify the most important relationships.
What is Advance Support?Support indicates previous support. H. Percentage of IDs for which the previous event is true, based on training data. For example, if 50% of your training data involves buying bread, the Bread -> Cheese rule has 50% pre-support.
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Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
2/3
Step-by-step explanation:
There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.
22 divided by a number s in algebraic expressions
Answers
Answer:
22 divided by a number s
Step-by-step explanation:
\( \frac{22}{s} \)