A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition accuracy is 95% and trials are assumed to be independent. a. If the research team continues to run laboratory tests, what is the mean number of trials until failure? b. What is the probability that the first failure occurs on the tenth trial?

Answers

Answer 1

After considering the given data we conclude that a) the mean of the given trials is about 1.0526 trials before failing, b) the probability of first failure occurring in the tenth trial is  0.2%.

a. To evaluate the mean number of trials until failure, we can apply the geometric distribution, since the probability of success (i.e., correct recognition) is 0.95 and the trials are assumed to be independent.

The geometric distribution has a mean of 1/p,

Here

p = probability of success.

Then, the mean number of trials until failure is 1 / p

= 1/0.95

= 1.0526

So, the mean that the device will correctly recognize faces for about 1.0526 trials before failing.

b. To evaluate the probability that the first failure occurs on the tenth trial, we can apply the geometric distribution again.

The probability of the first failure talking place on the tenth trial is the probability of having nine successes followed by one failure.

Can be written as

P(X = 10) = (0.95)⁹ × (0.05)

= 0.02

Hence, the probability that the first failure occurs on the tenth trial is 0.002, or 0.2%.

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Related Questions

what is the volume of the cylinder?
5 yd
4 yd
cubic yards.
Volume

Answers

Answer:

volume=1yd x 1yd = q cubic yard

490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip

Answers

Answer:

If you add teacher plus students which is 490+10=500

you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!

Step-by-step explanation:

You call 5 friends, tomorrow they call 5 each. Write an equation.

Answers

Answer:

5+5=10

Step-by-step explanation:

5+5=10

hope this helps. plz mark me as brainliest.

A glass is formed by rotating the shaded region shown above about the y axis. The curve that forms the inside of the glass is the graph of y = x^4/2. Length units in the figure are cm.
(a) What is the volume of the glass? (That is, what is the volume of the solid formed when the shaded region is rotated about the y axis?)

Answers

To find the volume of the glass formed by rotating the shaded region about the y-axis, we can use the method of cylindrical shells.

The volume of a solid of revolution using cylindrical shells is given by the integral:

V = ∫[a,b] 2πx * f(x) * dx

In this case, the function representing the curve that forms the inside of the glass is y = x^4/2. We need to find the limits of integration, a and b, which correspond to the x-values where the shaded region begins and ends.

From the graph, it appears that the shaded region begins at x = -1 and ends at x = 1. So, the limits of integration are -1 to 1.

Now, we can calculate the volume of the glass using the integral formula:

V = ∫[-1,1] 2πx * [tex](x^4/2) * dx[/tex]

V = π * ∫[-1,1] [tex]x^5 dx[/tex]

Using the power rule of integration, we integrate x^5:

V = π * [x^6/6] from -1 to 1

V = π * [[tex](1^6/6) - (-1^6/6)][/tex]

V = π * [(1/6) - (1/6)]

V = π * 0

Therefore, the volume of the glass is 0 cubic units.

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a business woman bought a personal computer for $108000.calculate her selling price on the personal computer if she wants to make profit of 25%​

Answers

Answer:

$135,000

Step-by-step explanation:

108000*1.25

School: Your future depends on me
Me: Nahhhhh, I'll spend my time on Brianly making s.tupid questions

Answers

Answer:

lol same facts though

Step-by-step explanation:

Answer:

Your future doesn't really depend on school to be honest, but school is one of the options to a great future. Even college and etc dropouts become successful.

A swimming pool measures 25.8 meters by 11.9 meters. It is filled with water to a depth of 1.1 meters. The pool is emptied by a tube that emits 29.8 liters per second. Estimate the approximate time required to empty the pool

Answers

Answer:

11 Seconds

Step-by-step explanation:

Swimming pool volume:

25.8 × 11.9 × 1.1 = 337.722

Time to empty pool:

337.722 ÷ 29.8 = 11.3329530201 ≈ 11 seconds

⚠️⚠️⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️​

Answers

Answer:

u have it right it increases by 1:75 per time

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it is A because it is increasing by 1.75 each week

a whole number that is a factor of two or more numbers is called a

Answers

Answer: Common factor

common factor. a whole number that is a factor of two or more nonzero whole numbers

Step-by-step explanation:

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: common \: factor \: }}}}}[/tex]

a whole number that is a factor of two or more numbers is called a common factor.

Write the equation of the circle ?
Center (-1,0)
Radius:4

Answers

Answer:

(x+1)^2 + y ^2 = 16

Step-by-step explanation:

center: (-1,0)

radius=4

(x-h)^2 + (y-k)^2 = r^2

(h,k) = center

plug in the center

(x+1)^2 + (y+0) ^2 = r^2

r^2 = (4)^2

r^2=16

(x+1)^2 + y^2 = 16

which properties are being used to solve the question

Answers

Answer:

Both commutative and associative

Is rolling a 5 on a traditional number cube

1. Impossible
2. Unlikely
3. Likely
4. Certain

Answers

Answer:

3. Likely

Step-by-step explanation:

Yea 3 because it can be the other answers

help please :) A, B , C , or D?

Answers

Answer:

the answer is 120 degree

Answer:

(A) 30 degree

Step-by-step explanation:

Just subtract 180 with 120 = 60

then add 60 and 90 = 150

after that 180 - 50 = 30

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Have a great day, be safe and healthy  

Thank u  

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last one










Mosquitoes are just dirty used needles that can fly

Answers

yes. no literally. what is the point of mosquitoes.

An element with a mass of 840 grams decays by 22.9% per minute. To the nearest minute, how long will it be until there are 70 grams of the element remaining?

Answers

Answer:10

Step-by-step explanation:believe me bro

To the nearest minute, it will be 10 minutes until there are 70 grams of the element remaining.

How to find the time it took for an element to decay to a certain mass?

The time the element took to decay can be found by using the following formula:

[tex]F=P(1-r)^{t}[/tex]

Where:

F is the remaining mass.P is the original mass of the element.r is the rate at which the element is decaying.t is the time it took for the element to decay.

We can find the answer by substituting the values.

[tex]F=P(1-r)^{t}\\\Rightarrow 70=840(1-0.229)^{t}\\\Rightarrow \frac{70}{840} =(1-0.229)^{t}\\0.0833=(1-0.229)^{t}\\t=9.56\\\approx10 \text{ minutes}[/tex]

Therefore, we have found that the element will take around 10 minutes to have 70 grams remaining.

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A 30, Y-connected alternator is rated at 1,600KVA, 13.5KV. The armature effective AC resistance per phase is 1.50. The percentage regulation for a load of 1,280kW at unity power factor is 3.5%. Determine: (a) synchronous reactance of the alternator (b) %VR at full-load 0.8pf leading (c) What is the effect on %VR value if taken at half-load lagging pf? Justify and explain briefly your answer on one(1) sentence.

Answers

(a)  The synchronous reactance of the alternator is 0.001953125 Ω.

The synchronous reactance [tex]X_{s}[/tex] of the alternator can be calculated using the formula:

[tex]X_{s} = (Vt^2) / (3 * VL * S_{base})[/tex]

where [tex]V_{t}[/tex] is the rated line-to-line voltage of the alternator, VL is the rated line-to-neutral voltage of the alternator (which is the same as the rated voltage for a Y-connected alternator), and S_base is the apparent power rating of the alternator (which is equal to the rated power factor of the alternator times the rated apparent power). Substituting the given values, we get:

[tex]X_{s} = (13.5^2) / (3 * 13.5 * 1600) = 0.001953125[/tex] Ω

Therefore, the synchronous reactance of the alternator is 0.001953125 Ω.

(b) The percentage voltage regulation at full-load 0.8 power factor leading is 23.15%.

The percentage voltage regulation (%VR) at full-load 0.8 power factor leading can be calculated using the formula:

%VR = (E - Vl) / Vl * 100%

where E is the generated voltage of the alternator, and Vl is the terminal voltage of the alternator at full-load 0.8 power factor leading. We can assume that the armature resistance and inductance are negligible compared to Xs for this calculation. Using the given values, we first calculate the apparent power S of the load:

S = P / pf = 1280 / 0.8 = 1600 kVA

Since the load is at unity power factor, the current drawn from the alternator is also 1600 A. Therefore, the voltage drop across Xs is:

Vx = Xs * I = 0.001953125 * 1600 = 3.125 V

The generated voltage E is equal to the terminal voltage Vl plus the voltage drop across Xs:

E = Vl + Vx

The percentage voltage regulation is then:

%VR = (E - Vl) / Vl * 100% = (Vl + Vx - Vl) / Vl * 100% = Vx / Vl * 100%

Substituting the given values, we get:

%VR = 3.125 / 13.5 * 100% = 23.15%

Therefore, the percentage voltage regulation at full-load 0.8 power factor leading is 23.15%.

(c) If the %VR value is taken at half-load lagging power factor, it will be higher than the %VR value at full-load 0.8 power factor leading. This is because the load impedance at half-load lagging power factor has a lower magnitude than the load impedance at full-load 0.8 power factor leading, which means that the voltage drop across [tex]X_{s}[/tex] will be a larger fraction of the terminal voltage, resulting in a larger %VR value.

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One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another customer purchases 5 bags of cat food and 2 bags of dog food. The total weight of the purchase is 35 pounds.

A. You write the following system of linear equations to represent this
situation. Is your answer correct?
8x + 2y = 44
5x + 2y = 35

B. Your answer for the next step is 13 79, x = which is incorrect. Explain
the error.

Answers

Answer:

answer is x=3 and y=10

Step-by-step explanation:

Forgot to isolate y and x and simplify

please help its for a grade!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

2x+4y=56; 5x+2y=64adult: $10; child: $7budget is not high enough

Step-by-step explanation:

See the attached.

Find the value of x and y.

Answers

Answer:

Step-by-step explanation:

Jericho has m paintings and n drawings. He sold his paintings for $x each and drawings for $y each. His earnings for one day are
represented by the expression given below.

x(m) + y(m- 12)

Which statement best describes the term (m - 12)?

A. It is the number of paintings sold, which was 12 more than the number of drawings sold.
B. It is the number of drawings sold, which was 12 more than the number of paintings sold.
C. It is the number of paintings sold, which was 12 less than the number of drawings sold.
D. It is the number of drawings sold, which was 12 less than the number of paintings sold.

Answers

Answer:

b

Step-by-step explanation:

HELPPPPPPPPP
What is the value of x in the figure at the right?

Answers

Answer:

Answers is D

Step-by-step explanation:

2x = 60° because they are vertically opposite angles.

x=60÷2=30°

12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also

I can run 5 laps in 1 1/4 hours how many laps could I run in a day ​

Answers

Answer:

the second one is 20 i think

Step-by-step explanation:

The first one is 8 pumpkins will cost 8.40

Given a set of linear equalities in several variables, we know that we can find a satisfying assignment in polynomial time. For example, given the equalities 211X1 + 212X2+...+ almxm = 221X1 + a22x2+...+ a2mdm = C2 an1X1 + An2x2+...+ AnmIm = Cn we know that we can solve this (i.e. find a set of xis so that all the equalities are satisfied) in polynomial time in n and m. ?. Suppose we now have a set of linear inequalities 211X1 + 212X2+...+ alm&m < 221X1 + A2222+...+ a2mX m

Answers

Solving a set of linear inequalities in several variables is an NP-hard problem, meaning there is no known polynomial-time algorithm to find a satisfying assignment.

Unlike linear equalities, solving a set of linear inequalities in several variables is an NP-hard problem. This means that there is no known polynomial-time algorithm to find a satisfying assignment for all instances of such problems. The complexity arises from the fact that there are infinitely many potential solutions, making it challenging to determine whether a feasible assignment exists or not. To find a satisfying assignment for linear inequalities, algorithms typically use heuristics or approximation techniques that do not guarantee optimality or completeness. Various methods, such as linear programming or constraint satisfaction algorithms, can be employed, but they may have exponential time complexity in the worst case. Therefore, solving a set of linear inequalities generally requires more computational resources and time compared to solving linear equalities.

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Factor the expression completely. 12X+18

Answers

Answer:

6(2x+3)

Step-by-step explanation:

There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.

Hope this helped! :)




no The sum of two angles in a triangle is 150 degrees. What is the supplement of the third angle of the 2 of 4 triangle? (a) 150 (b) 10 (c) 30 (d) 85

Answers

The measure of the third angle, C, is 30 degrees. So, the correct answer is (c) 30.

Let's assume the three angles of the triangle are A, B, and C, where A, B, and C are measured in degrees.

We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write the equation:

A + B + C = 180

The obtain of two angles is 150 degrees, we can set up another equation:

A + B = 150

To obtain the measure of the third angle, which we'll call C, we can subtract the sum of the other two angles from 180:

C = 180 - (A + B)

Substituting the value of the sum of two angles (150 degrees), we have:

C = 180 - 150

C = 30

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a rational expression is undefined whenever its denominator is zero.T/F

Answers

True. A rational expression is undefined whenever its denominator is zero. This is because division by zero is not defined.

In mathematics, a rational expression is defined as the quotient of two polynomials, where the denominator represents the divisor. When the denominator of a rational expression becomes zero, it results in division by zero, which is undefined. Division by zero is not a valid operation in mathematics, and it leads to an undefined value. Therefore, to determine if a rational expression is undefined, we need to check if its denominator evaluates to zero. If the denominator is zero, the rational expression is undefined. Also there is division by zero, or related concepts in mathematics.

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2. Write a ratio expressing the slope of the line through each pair of points.
(-6, 1) and (-2, 0)

Answers

Answer:

Step-by-step explanation:

m = [tex]\frac{-1}{4}[/tex]

Which expression is equivalent to (-3)x+(3)(-12)?

Answers

Answer:

Step-by-step explanation:

(-3)x + (3)(-12)

= -3x -36

or -3(x + 12)

Answer:

Step-by-step explanation:

(-3)x + 3(-12) = (-3) (x + 12)

(-3) is both the two terms. So we can take (-3) as common

Tell whether the angles are complementary or supplementary. Then find the value of X.

Answers

Answer:

Complementary

x= 60

Step-by-step explanation:

Answer:

The angles are complementary.

X =  60

Step-by-step explanation:

Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 94 adults, the following data are collected:

Truck Car Total
Female 9 36
Male 18 31
Total 94

What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that he is a male? Are the events being male and buying a car independent? (1 point)

63%; they are dependent
46%; they are dependent
63%; they are independent
33%; they are independent

Answers

64% they are independent

I will come back to this question when it has been further clarified.

(Honestly I just really need to delete this answer since I misread the question but it doesn't give me an option to delete it).

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