1. 4 million how many zeros.

The probability of two fingerprints matching is extremely low.

Fingerprints are unique to each individual due to the complex patterns and ridges present on the skin's surface. The study of fingerprints, known as fingerprint identification or fingerprint analysis, has been extensively researched and utilized in forensic science and criminal investigations.

The uniqueness of fingerprints is attributed to several factors, including the intricate and random patterns formed by ridges, the presence of minutiae points (e.g., ridge endings, bifurcations), and the variability in the number and arrangement of ridges. These characteristics make it highly improbable for two individuals to have identical fingerprints.

Statistical analyses have shown that the probability of two fingerprints matching by chance is extremely low, often estimated to be in the range of 1 in billions or even trillions. This level of uniqueness and individuality makes fingerprints a reliable and widely accepted biometric identifier.

The study of fingerprints and their uniqueness plays a crucial role in forensic science, law enforcement, and identity verification systems. By comparing fingerprints found at crime scenes with known prints in databases, investigators can establish connections, identify suspects, and support criminal investigations. The high degree of uniqueness in fingerprints provides a valuable tool for accurate identification and serves as a foundation for fingerprint-based authentication systems used in various applications, such as access control and personal devices.

In summary, the uniqueness of fingerprints is well-established, and the probability of two fingerprints matching by chance is extremely low. This characteristic forms the basis of fingerprint identification and has significant implications in forensic science and biometric applications.

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the volume of the prism is

V=L*W*H

we have

L=2

W=1 1/2=1+1/2=3/2

H=1 1/2=1+1/2=3/2

substitute

V=(2)(3/2)(3/2)

V=9/2 units3

V=8/2+1/2=4+1/2=4 1/2 units3

PQ is bisected by line L.

so the answer is C

PQ=14

Step-by-step explanation:

5x-3=11-2x

5x+2x=11+3

7x=14

x=2

replace X in any of the given distance equation then multiply by 2 since the distance Pm=Qm

PQ=2(11-2x)

2(11-2(2))

2(7)

Therefore PQ=14

Answer:

B

Step-by-step explanation:

The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1.

To construct a schedule using the Earliest Deadline First (EDF) scheduling algorithm, we need to consider the execution time, period, and deadline of each task and assign them priorities based on their deadlines. The task with the earliest deadline will be scheduled first. Let's create a schedule for the given task set:

Task T1: Execution time (e) = 2 ns, Period (P) = 5 ns, Deadline (D) = 5 ns

Task T2: Execution time (e) = 4 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

Task T3: Execution time (e) = 7 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

We have a period of 22 ns, and we need to schedule these tasks within that period. Let's start with the task with the earliest deadline:

At time 0 ns: Execute T1 (2 ns)

At time 2 ns: Execute T2 (4 ns)

At time 6 ns: Execute T1 (2 ns)

At time 8 ns: Execute T3 (7 ns)

At time 15 ns: Execute T1 (2 ns)

At time 17 ns: Execute T2 (4 ns)

At time 21 ns: Execute T1 (2 ns)

This completes the execution of all tasks within the given period of 22 ns. The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1

In this schedule, we have followed the EDF algorithm by selecting tasks based on their deadlines. The task with the earliest deadline is always scheduled first to meet the timing requirements of the system.

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Remi purchased approximately 150 pounds of pumpkins.

To find the number of pounds of pumpkins purchased by Remi, we can divide the total amount spent by the price per pound.

Let's assume that x represents the number of pounds of pumpkins purchased.

The total amount spent, $73.50, can be expressed as the product of the price per pound, $0.49, and the number of pounds purchased, x:

$73.50 = $0.49 × x

To solve for x, we divide both sides of the equation by $0.49:

x = $73.50 / $0.49 ≈ 150

Therefore, Remi purchased approximately 150 pounds of pumpkins.

By dividing the total amount spent by the price per pound, we found the quantity of pumpkins purchased.

In this case, Remi spent $73.50 and the price per pound was $0.49, resulting in the purchase of approximately 150 pounds of pumpkins. This information can be useful for budgeting, inventory management, and understanding consumer behavior at the local farm.

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Step-by-step explanation:

\( {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i\)

Answer:

27 dollars

Step-by-step explanation:

9 dollars per hour and you multiply that by 3 hours to get 27 dollars.

Answer:

Daityn would of paid 27 dollars. This is because you can do 3*9

Step-by-step explanation:

Hope This Helps

Have A Great Day

An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.

Let the value of x be 5.

3x-8y=54

3(5)-8y =54

15-8y = 54

-8y = 54 - 15

-8y = 39

y = -4.875

Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

y=-5x-7

Step-by-step explanation:

5x-4y=28

-4y=-5x+28

y=-5x-7

Answer:

B

Step-by-step explanation:

An integer is a whole number (not including 0).  An integer's opposite can be found by adding a negative sign to the front of it.  A negative integer's opposite would be positive, while a positive integer's opposite would be negative.  

Check the picture below.

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.

Thus temperature in

Answer:

0.451

Step-by-step explanation:

When you do cos^-1 0.9 ~ .451

You can’t add pi because you have an interval.

Hope this helps :)

Answer:

Area = ab

Step-by-step explanation:

Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.

A = a×b

A = ab

Answer:

-1

Step-by-step explanation:

if the input is 4 you just go through the cycles

4 then subtract 7

4-7

-3

Then divide by 3

-3/3

-1

Hopes this helps please mark brainliest

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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a. For the two-server system, the probability of no one being in line is 0.975 while for the one-server system, it is 0.99.

b. For the two-server system, the average number of customers in the system is 2/3 while for the one-server system, it is 3/5.

c.  For the two-server system, the total wait time in the system is 80/3 minutes while for the one-server system, it is 60 minutes.

Based on the given metrics, the one-server system with automated drink filling appears to be better in terms of the probability of no one being in line, total wait time in the system, and potentially providing a better customer experience.

a. Probability that no one is in line:

For the two-server system:

λ = 1 person per minute

μ = 40 customers per hour (per server)

ρ = λ/μ = 1/40 = 0.025

Using the M/M/2 queuing model, the probability of no one being in line is given by:

P(0) = 1 - ρ = 1 - 0.025 = 0.975

For the one-server system:

μ = 100 customers per hour

ρ = λ/μ = 1/100 = 0.01

The probability of no one being in line is:

P(0) = 1 - ρ = 1 - 0.01 = 0.99

Comparing the probabilities, the one-server system has a higher probability of no one being in line, indicating better performance in terms of avoiding queues.

b. Total number of people in the system:

For the two-server system,  the M/M/2 queuing model is used to calculate the average number of customers in the system.

L = λ / (2μ - λ)

L = (1/40) / (2 * (40/60) - 1/40) = 2/3

For the one-server system, the M/M/1 queuing model is used to calculate the average number of customers in the system.

L = λ / (μ - λ)

L = (1/100) / (100/60 - 1/100) = 3/5

Comparing the average number of customers in the system, the two-server system has a higher value, indicating a higher number of customers on average.

c. Total wait time in the system:

The total wait time in the system can be calculated using Little's Law.

For the two-server system:

W = L / λ

W = (2/3) / (1/40) = 80/3 minutes

For the one-server system:

W = L / λ

W = (3/5) / (1/100) = 60 minutes

Comparing the total wait times, the one-server system has a lower wait time on average, indicating faster service.

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Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

114

Step-by-step explanation:

g(10) = 10² - 2 + 2 x 10 = 118

h(g(10)) = g(10) -4 = 118 -4 = 114

Answer:

g (10)=(10^2)-2+2(10)= 118

h(g(10))=118-4=114

answer is 114

Step-by-step explanation:

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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Answer:

v2(v+7)(v+2)(v−2)

Step-by-step explanation:

Answer:

Subtract 11 both sides to isolate the variable and it's cooeficient.

Step-by-step explanation:

Given equation:

The main goal to determine the solution of the equation is to isolate the variable that is present in the equation.

(1) Subtract 11 both sides to isolate the variable and it's cooeficient.

(2) Simplify if possible.

(3) Divide the cooeficient (-3) both sides to remove the cooeficient from the variable.

Once the variable has been isolated, the opposite side of the variable will be the solution to the variable.

Step-1: Subtract 11 both sides

Step-2: Simplify (if possible)

Step-3: Divide the cooeficient of x (-3) both sides

Therefore, the first step in simplifying the expression (11 - 3x = 44) is to subtract 11 both sides to isolate the variable and it's cooeficient. When the expression is simplified, we get the solution x = -11.

Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option " e" Is correct.



To calculate the accumulated amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the accumulated amount

P = the principal amount (initial investment)

r = annual interest rate (in decimal form)

n = number of times the interest is compounded per year

t = number of years

In this case, the principal amount (P) is $100,000, and Slats plans to invest an additional $50,000 per year for 10 years. The interest rate (r) is 5.25%, which is equivalent to 0.0525 in decimal form. The interest is compounded once per year (n = 1), and the total investment period is 15 years (t = 15).

First, let's calculate the accumulated amount from the additional investments:

Additional Investments = $50,000 × 10 = $500,000

Next, let's calculate the accumulated amount for the initial investment and the additional investments:

Accumulated Amount = $100,000 + $500,000 = $600,000

Now, we can use the compound interest formula:

A = $600,000 × (1 + 0.0525/1)^(1 × 15)

A = $600,000 × (1 + 0.0525)^15

A = $600,000 × (1.0525)^15

A = $600,000 × 1.94753

A ≈ $1,168,518

Therefore, Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option "e" is correct.

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