the fbi wants to determine the effectiveness of their 10 most wanted list. to do so, they need to find out the fraction of people who appear on the list that are actually caught. step 1 of 2 : suppose a sample of 1016 suspected criminals is drawn. of these people, 406 were captured. using the data, estimate the proportion of people who were caught after being on the 10 most wanted list. enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer 1

Rounded to three decimal places, the estimated proportion is 0.400 or 4/10.

Define proportion

Proportion is a mathematical term that describes the relationship between two or more quantities that are related to each other in some way. A proportion is a statement that two ratios or fractions are equal. In other words, if a/b = c/d, then we say that a and b are in proportion to c and d.

The estimated proportion of people who were caught after being on the 10 most wanted list can be calculated as the ratio of the number of people who were caught to the total number of suspected criminals in the sample:

Proportion caught = Number caught / Total number in sample

Proportion caught = 406 / 1016

Proportion caught = 0.3996 (rounded to four decimal places)

Expressed as a fraction, this is 3996/10000.

Rounded to three decimal places, the estimated proportion is 0.400 or 4/10.

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Related Questions

A college bookstore marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $60.00, how much did the bookstore pay for this book?

Answers

The college bookstore paid $44.4 for the book

How to calculate the price paid for the book ?

A college store marks up the price it pays the publisher for a book by 35%

The selling price of the book is $60.00

Therefore the amount paid by the bookstore can be calculated as follows

( 35/100 + 1) x = 60

0.35+1x= 60

1.35x= 60

Divide both sides by the coefficient of x which is 1.35

x= 60/1.35

x= 44.4

Hence the book store will pay $44.4 for the book

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Please help with this math problem

Please help with this math problem

Answers

The angle x in the circle is 100 degrees.

How to find the angle in a circle?

The angle subtended by an arc of a circle at its centre is twice the angle it

subtends anywhere on the circle's circumference.

In other words, If two angles are in the same segment of a circle and one of

them is at the centre, the angle at the centre would be twice the other

angle.

Therefore, let's use the theorem to find the angle x in the circle as follows:

Therefore, x should be equals to two times 50.

Hence,

x = 2(50)

x = 100 degrees

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The probability of you getting accepted to your preferred college and receive a scholarship is 13/25, The probability that you get accepted to your preferred college is 18/25. What is the probability that you receive a scholarship, given that you are accepted to your preferred college?

Answers

Answer:

We can use the formula for conditional probability to solve this problem:

P(Scholarship | Accepted) = P(Scholarship and Accepted) / P(Accepted)

We know that P(Accepted) = 18/25 and P(Scholarship and Accepted) = 13/25 (from the given information). Therefore:

P(Scholarship | Accepted) = (13/25) / (18/25) = 13/18 or approximately 0.722

So the probability that you receive a scholarship, given that you are accepted to your preferred college, is about 0.722 or 72.2%.

Step-by-step explanation:

a lily pad is growing in a pond and it doubles in size every day. after 30 days it covers the entire pond. on what day does it cover half the pond?

Answers

The growth of the lily pad is in geometric progression, and it covers half the pond in 29 days.

In the question, we are given that the size of the lily pad doubles itself every day.

If we assume the size of the lily pad on the first day as a, then on the second day its size will be 2a, on the third day it will be 2(2a) = 4a, and on the fourth day, it will be 2(4a) = 8a, and so on.


This makes a geometric progression, with the first term as a, and the constant ratio as 2.

We are given that on the 30th day, the size of the lily pad, covers the entire pond.

The size on the 30th day can be shown as the 30th term of this geometric progression

Therefore, size of the  pond = a(2)³⁰⁻¹ = a.2²⁹. {Using the formula, aₙ = arⁿ⁻¹, where aₙ is the n-th term, a is the first term, and r is the constant ratio}.

We are asked the day on which the pond is half covered.

The size of the pond in this case = (a.2²⁹)/2 = a.2²⁸.

The day can be calculated as follows:

a.2ⁿ⁻¹ = a.2²⁸,

or, 2ⁿ/2 = 2²⁸,

or, 2ⁿ = 2²⁹,

or, n = 29.

Thus, the lily pad covers half the pond on the 29th day.

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Select ALL that apply.​

Select ALL that apply.

Answers

Answer:

your picture is not loading for me

The slope is -4 so A, B, D is not the answer
The answer is C and E

8. Maximize p=x+2y subject to 30x+20y
0.1x+0.4y
0.2x+0.3y
x≥0,y≥0

Answers

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

david has d books, which is 3 times as many as jeff and i as many as paula. how many books do the three of them have altogether, in terms of d?

Answers

David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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in general, the strictest standards with the lowest acceptable levels are the

Answers

Answer:

Step-by-step explanation:

are the what???

maximum contaminant levels

Please simplify these equations

Please simplify these equations

Answers

Answer:

a) 81

b) 16807

c) 1010000000

d) 390630

These are all correct. I checked.

Write the chemical formula for this molecule:
N—N
O
O

Answers

(NO)²

\(\huge\mathfrak\red{hope \: it \: helps}\)

Can someone plz help Me? :(

Can someone plz help Me? :(

Answers

the greatest common factor of 48 and 60 is D.) 12

Answer:

Answer: D or 12

Step-by-step explanation:

This one is fairly simple.

The Greatest Common Factor is the largest number that can go into both 48 and 60...

What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.

PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)

Answers

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12

Answers

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

\(y = A cos bx + c\)

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

What is the formula for the amplitude?

\(A = 1/2 (Xmax - Xmin)\)

\(12 - 2 / 2 = 10/2 = 5\)

\(b = 2 pi / 12 = pi/6\)

\(c = 1/2 (Xmax + Xmin)\)

\(12+2/2 = 7\)

Therefore, the an equation for water level in june for pensacola as a function of time (t)

\(f(t) = 5 cos pi/6 t + 7\)

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Is this triangle acute, right, or obtuse?

acute

right

obtuse

Is this triangle acute, right, or obtuse?acuterightobtuse

Answers

Answer: Heyaa!

A Triangle is actue! :)

Step-by-step explanation:

Hopefully this helps you!!

Answer:

it's a right triangle

Step-by-step explanation:

at the bottom left corner of the triangle, there's a square that tells u that it's a right triangle

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answers

Answer:

your mom

1234567891011

Match the following transportation characteristics with the appropriate mode of transportation Which mode of transportation has the most capability? Which mode of transportation provides the most accessibility? Which mode of transportation is the most reliable? Which mode of transportation is the fastest over a long distance? Which mode of transportation has the lowest per-unit cost? Water Air Rail 3PL Cross-Docking Truck Intermodal Pipeline 4 points Match the following descriptions with the appropriate transportation intermediary. What transportation intermediary consolidates LTL shipments into FTL shipments (i.e., they take small shipments from multiple companies and consolidate them into larger shipments)? What transportation intermediary is a nonprofit cooperative which arranges for members' shipments? What transportation intermediary brings shippers and carriers together? What transportation intermediary purchases blocks of rail capacity and sells it to shippers?

Answers

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful

Answers

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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Solving inequalities and graph it's solution

Solving inequalities and graph it's solution

Answers

Step-by-step explanation:

answer is 10 am i right plzz correct it

what is the best big-o function for the worst case scenario analysis of a linar search of a list of size n (counting the number of comparisons)?

Answers

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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An airplane is located at position (3,4,5) at noon and traveling with velocity 400i +500j-k kilometers per hour. The pilot spots an airport at position (23,29,0).
(a) At what time will the plane pass directly over the airport?
(b) How high above the airport will the plane be when it passes?

Answers

The difference is 5 kilometers. Therefore, the plane will be 5 kilometers above the ground level when it passes directly over the airport.

(a) The plane will pass directly over the airport at 5:00 PM.

The  time at which the plane passes directly over the airport can be determined by calculating the time it takes for the plane to reach the airport from its initial position. Since the distance between the two points is known and the velocity of the plane is given, the time can be calculated by dividing the distance by the velocity.

These involves calculating the distance between the initial position of the plane and the position of the airport. The distance formula in three-dimensional space is used, which is given by the square root of the sum of the squares of the differences in the x, y, and z coordinates. By substituting the values, we can calculate the distance between the two points.

Next, we divide the distance by the magnitude of the velocity vector to obtain the time it takes for the plane to travel from the initial position to the airport. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. By dividing the distance by the magnitude of the velocity, we obtain the time in hours.

Adding the time it takes to reach the airport (calculated from the initial position) to the time of noon, we can determine the time at which the plane will pass directly over the airport.

(b) The plane will be 20 kilometers above the airport when it passes.

The  height of the plane above the airport when it passes can be determined by subtracting the z-coordinate of the airport from the z-coordinate of the initial position of the plane.

These involves comparing the z-coordinate of the airport (which is 0) to the z-coordinate of the initial position of the plane (which is 5). By subtracting the z-coordinate of the airport from the z-coordinate of the initial position, we obtain the height of the plane above the airport.

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Tina buys 3 shirts and 4 pairs of pants for $63.50 and Mirna buys 2 shirts and 3 pants for $46.25. What's the sale price on shirts and pants?

Answers

Answer:

$6.25 for 1 shirt ,$11.75 for 1 pants

Step-by-step explanation:

3s +4p = 63.50

6s +8p = 127

2s+3p = 46.25

6s+9p = 138.75

9p-8p = 138.75-127

1p = 11.75

2s + 3(11.75) =46.25

2s= 12.5

1s= 6.25

The purpose of statistical inference is to make estimates or draw conclusions about a _____. a. population based upon information obtained from the sample b. mean of the sample based upon the mean of the population c. sample based upon information obtained from the population d. statistic based upon information obtained from the population

Answers

a)The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.

Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many ways to make inferences, including statistical modeling, data-driven strategies, and the explicit use of designs and randomization in analyses.

Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or population probability distribution.

First, a preliminary assumption is made about the parameter or distribution. This assumption is called the null hypothesis and is denoted H0.

An alternative hypothesis (denoted Ha) is then defined, which is the opposite of what is stated in the null hypothesis. The hypothesis testing procedure involves using sample data to determine whether or not H0 can be rejected. If H0 is rejected, the statistical conclusion is that the alternative hypothesis Ha is true.

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What is that rate of change for the equation y=2x+60?​

Answers

Answer:

2

Step-by-step explanation:

the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope

i’m pretty sure the rate of change is 2

NEED HELP ASAP! THANK YOU!
To get to Checkpoint C, Helena needs to run north 6 units, crawl through a 4-unit-long tube to the east, hopscotch south 3 units, jump 1 unit to the east, and run south 3 units.
1. Since she began at Checkpoint B, what are the coordinates for Checkpoint C?
2. What would be an easier way to get from Checkpoint B to Checkpoint C?
3. How might you be able to figure this out just by reading the description of the translations? (Hint: It may help you to plot these points on a graph or draw a picture.)

NEED HELP ASAP! THANK YOU!To get to Checkpoint C, Helena needs to run north 6 units, crawl through a

Answers

Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

(5, 0)5 units to the southAdding the motions based on their directions

How can the position of Helena be found?

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

\(6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i\)

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

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Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

Lala spent 13 hours and 34 minutes on math
homework and 25 hours and 25 minutes on
social studies homework. How much time did
Lala spend on homework?

Answers

Answer:

38hours59minutes

Step-by-step explanation:

Answer:

38 hours and 59 minutes

Hope this helps! Good luck! :)

Describe the transformation(s) of the parent function f(x)

k(x) = -2 f(-x)

Answers

We reflect it about the x axis and  stretch it  by -2 in the y direction

The vertex form of a quadratic equation is: y = a(x - h)² + k     where

a is the vertical stretch

-a is a reflection over the x-axis

(h, k) is the vertex

--> h is the horizontal shift (positive is RIGHT, negative is LEFT)

--> k is the vertical shift (positive is UP, negative is DOWN)

reflect it about the x axis and  stretch it  by 2 in the y direction

k(x) = -2 f(-x)

y = −f(x)  Reflects it about x-axis

y = Cf(x)  C > 1 stretches it in the y-direction

Therefore, we reflect it about the x axis and  stretch it  by -2 in the y direction

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a) side angle side
b) side side side
c) angle side angle
d) not congruent

a) side angle sideb) side side side c) angle side angled) not congruent

Answers

Answer:

a

Step-by-step explanation:

two sides one angle and agian two side has two of the same lengths

4) A drug test is considered 95% accurate. If 1 out of every 100 people actually use the drug, what is the probability that someone receives a false positive result. Show how you found this answer using a two-way frequency table

Answers

If 1 in 100 people genuinely use the drug, then the likelihood that someone will have a false positive test is 0.05, or 5%.

To solve this problem using a two-way frequency table, we can organize the information as follows:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |                 |                      |

----------------|-----------------|----------------------|

Negative result |                 |                      |

----------------|-----------------|----------------------|

We know that 1% of the population actually uses the drug, so we can fill in the first column:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |                1% |                      |

----------------|-----------------|----------------------|

Negative result |               99% |                      |

----------------|-----------------|----------------------|

We also know that the drug test is 95% accurate, which means that it correctly identifies drug users (true positives) 95% of the time, and it incorrectly identifies non-users as drug users (false positives) 5% of the time. We can fill in the first row based on this information:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |               95% |                    5%|

----------------|-----------------|----------------------|

Negative result |               99% |                   95%|

----------------|-----------------|----------------------|

To find the probability that someone receives a false positive result (i.e., they are not an actual drug user but the test indicates that they are), we need to look at the proportion of the population that is not an actual drug user and receives a positive result. This is given by the entry in the top right corner of the table, which is 5%. Therefore, the probability of a false positive result is 0.05 or 5%.

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can sum1 plzz help me

answer n check this
‐9 = 6m + 15

Answers

Answer: m = -4

Step-by-step explanation:

ok so -4 times 6 = -24 so -24 plus 15 would equal a negative 9

Answer:

m= -4

Step-by-step explanation:

step 1 : Subtract 15 from both sides

that would now be -24 = 6m

step 2 : divide both sides by 6 to get m alone

answer : m = -4

1.17-0.07a+(-3.92a) please help asap

Answers

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

Other Questions
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