A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty

Answers

Answer 1

Answer:

0.475

Step-by-step explanation:

Given that :

We are to calculate the true positive :

True POSITIVE (TP) = 70% = 0.7

False POSITIVE (CP = 30% = 0.3

True Negative = 30% = 0.3

Number arrested = 4

(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)

= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)

= 0.175 / (0.175 + 0.225)

= 0.175 / 0.4

= 0.475


Related Questions

What is the range? The range is __

Answers

Answer:

8

Step-by-step explanation:

Take the biggest value and smallest value, and subtract the smallest value from the biggest value:

9-1=8

The range is 8

The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,

9 - 1, and your answer is 8

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+4)
41°
81°

Answers

81+41 + (6x+4) = 180
6x+4 = 58-4
6x=54
X=54/9
X=6

What is √9 (a very dum question)

Answers

Answer:

3 lol

Step-by-step explanation:

It’s not dum lol

Answer:

3

Step-by-step explanation:

yea

Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.

Answers

Answer:

They'll be on page 72

Step-by-step explanation:

Kaylee:

Current page = 24

Page per day = 16

Page, K, Kaylee is on at end of t days

K = current page + (page per day * Number of days)

K = 24 + 16t

Josiah:

Current page = 50

Page per day = 14

Page, J, Josiah is in at the end of t days

J = current page + (page per day * Number of days)

J = 50 + 14t

To be on the same page ;

K = J

24 + 16t = 50 + 14t

24 - 50 = 14t - 16t

- 26 = - 2t

t = 13

After 13 days, they'll be on same page :

K = 24 + 16(13)

K = 24 + 48

K =72

They'll be on page 72

A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?

Answers

3600/90= 40 x 6 =240
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.

pls pls pls help i’m so confused

Answers

Answer:

x=50

hope it helps........

Answer:

50°

Step-by-step explanation:

Thousands of years ago, a group of people called the Sumerians decided that, since a year is roughly 360 days, 360 was a nice number of parts to split a circle into (that, and it's a very easy number to divide up into smaller parts without dealing with

Rotate 90° counterclockwise about the origin.
M (3.2), N'(5,5), P'(4,5), Q'(2, 2)
M"1-2.3). N'(-5,5), P'(-5.4), (-2,2)
M(-2,-3). N'(-5.-5), P'(-5.-4). Q'-2,-2)
M*2.3). N'(5,5), P75,4), Q (2.2)

Answers

Answer:

it should be the second one

Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)

Answers

Answer:

A,E

Step-by-step explanation:

Edge 2021

The expressions that are equivalent to 7(-¾x - 3) are:

A. -5¼x - 21

E. 7(-¾x) -7(3)

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same values when evaluated or simplified.

Given:

7(-¾x - 3)

Open the bracket

7(-¾x) -7(3)

-5¼x - 21

Therefore, the expressions that are equivalent to 7(-¾x - 3) are:

A. -5¼x - 21

E. 7(-¾x) -7(3)

Learn more about equivalent expressions on:

https://brainly.com/question/22365614

Which theorem or postulate proves that △ABC and △DEF are similar?

The two triangles are similar by which postulate or theorem?


​SAS Similarity Theorem​

​SSS Similarity Theorem​

​AA Similarity Postulate

Answers

Answer:

AA Similarty

Step-by-step explanation: We are given that two angles are congruent so we use AA SImilarity. Stating that if  two angles are congruent, then the figures are similar.

The postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.

What is the ​AA Similarity Postulate?

The AA similarity postulate states that when two triangles have two pairs of corresponding angles that are congruent to each other, the two triangles are regarded as similar triangles.

Thus, triangles ABC and DEF have:

two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.

Therefore, the postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.

Learn more about the AA Similarity Postulate on:

https://brainly.com/question/2166570

7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8
mangoen and 7 oranges. How much did she pay in all for the Items?

working ​

Answers

Answer:

hi  hahahah

Step-by-step explanation:

First calculate the individual cost for each item

Mangoes: $4 / 5 = .8$

Oranges: $10.5 / 3 = $3.5

Now multiple the individual cost by the amount of each item that was bought

Mangoes: 8 x .8 = $6.4

Oranges: 7 x 3.5 = $24.5

Total cost = $30.90

Find the slope of the two coordinates:
(2, 4) and (4, 14)


Write the equation of the line in Point-Slope Form
using the first coordinate.

Answers

Answer:

3,6

Step-by-step explanation:

PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches

Answers

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

I believe it might be 18 have a great day!

3 ÷ 1/8 simplified dont use calculator the answer is not 24

Answers

Answer:

Step-by-step explanation:

Since we converted 3 1/8 to 25/8, this is actually (25/8)/100. This simplifies to: (25/8)/100 = 25/(8*100) = 1/8 * 25/100 = 1/8 * 1/4 or 1/(4*8) = 1/32. A simplest fraction is a fraction of the form a/b where a and b share no factors other than 1. And 1/32 is the simplest fraction you can get.

Answer: 24/1

Step-by-step explanation:

The answer is 24....maybe just add the 1 under it


find the value of x

Answers

if both sides are supposed to be equal, then x=59

Ales read 1/3 of a book Monday. 28 pages Tuesday . still has 1/3 left to read. how many pages in book

Answers

Answer:

there are 84 pages in the book.

Step-by-step explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

Answer:

The book has 84 pages

Step-by-step explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:

[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]

Multiplying by 3:

[tex]x+84+x=3x[/tex]

Simplifying:

x = 84

The book has 84 pages

Find the perimeter of the following shape:

Answers

Answer:

itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.

Step-by-step explanation:

The triangle with lines through it designates a no parking zone. What is the value of x?

2x

45°

+o

GO

Answers

Answer:

45°

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

All the three angles in a triangle add up to 180°.

From the question:

x + 2x + 45 = 180° (sum of angles in a triangle)

Adding alike terms:

3x + 45 = 180

Subtract 45 from both sides:

3x + 45 - 45 = 180 - 45

3x = 135

Divide both sides of the equation by 3 to find x:

3x / 3 = 135 / 3

x = 45°

Therefore:

The value of x is 45°

3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?


15

25

16

20

Answers

Answer:

25

Step-by-step explanation:

15=Girls

10=Boys

25 =The total of the number of students

Complete the following statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains  quarts of milk.

The milk jug contains  liters of milk.

Answers

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

1) All birds can fly. (2) Penguins are birds. Therefore, (3) Penguins can fly. Question 1 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.

Answers

Answer:

The correct Answer is - Fails the true premises test and passes the proper form test.

Step-by-step explanation:

Given,

The first premise is - All birds can fly

The second premise is - Penguins are birds

Conclusion - Penguins can fly

As we know that all birds cannot fly , so first premise is not true.

Penguins is a bird , it is true . So second premise is true.

As , to pass the true premise test, both premises has to be true

But here, in this question , one premise is not true

So, it Fails the true premises test.

As the argument is valid

If the premises is true , then the conclusion is valid

So, it passes the proper form test.

Can anyone help me pls

Answers

75%

Explain: count all the items in the list then count the caps and yo-yos together.
That’ll be 6/8 which is 75%
75% because there is 6/8 you will get the yo yo or the other one. so you put 6/8 = ?/100. you multiply 100 with 6 then divide 600 with 8

least common multiple of 35 and 15

Answers

The least common multiple for 35 and 15 would be 105
The least common multiple would be 105! Hope this helps <3

How do I find the correct Domain.

Answers

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

hope this helps a little

A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. To estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. The biologist checked for the following.

(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10

Which of the following conditions for inference was the biologist checking?

a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.

Answers

Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.

Step-by-step explanation:

(200) (0.06) >= 10

(200) (0.94) >=10

(197)(0.086) >=10

(197)(0.914) >= 10

We test the sample proportions of it is normal :

Deer population 1:

Sample size, n1 = 200

Proportion, p1 = 0.06

q = 1 - p = 1 - 0.06 = 0.94

n1 * p = 200 * 0.06 = 12

n1 * q = 200 * 0.94 = 188

Deer population 2:

Sample size, n2 = 197

Proportion, p = 0.086

q = 1 - p = 1 - 0.086 = 0.914

n2 * p = 197 * 0.086 = 16.94

n2 * q = 197 * 0.914 = 180.06

Since for samples and proportions ;

n*p and nq ≥ 10 ;

We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.

The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

Given :

A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. A random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region.

For dear population 1, the sample size is 200 and proportion is 0.06.

[tex]\rm q_1 = 1-p_1=1-0.06=0.94[/tex]

[tex]\rm n_1p_1=200\times 0.06=12\\[/tex]

[tex]\rm n_1q_1=200\times 0.94 = 188[/tex]

Now, for dear population 2, the sample size is 197 and the proportion is 0.086.

[tex]\rm q_2 = 1-p_2=1-0.086=0.914[/tex]

[tex]\rm n_2p_2=197\times 0.086=16.94[/tex]

[tex]\rm n_2q_2=197\times 0.914 = 180.06[/tex]

Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

So, the correct option is e).

For more information, refer to the link given below:

https://brainly.com/question/795909

Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent

Answers

Answer:

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).

Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.

Hence:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Using substitution property:

m∠1 + m∠2 = m∠2 + m∠3

subtracting m∠2 from both sides:

m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2

m∠1 = m∠3

∠1 and ∠2 are congruent

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

what are the factors of 15​

Answers

Factors of 15: 1, 3, 5, 15.

Answer:

[tex]factors \: of15 = 3 , 1\: and \: 5[/tex]

The occupancy of the room must be less than 437 people

a) p 437

c) p ≤ 437

d) p ≥ 437

Answers

it would be p < 437.

Given that P=x+y. Find P when: x=−5 and y=−3

Answers

Answer:

P = - 8

Step-by-step explanation:

Given

P = x + y ← substitute x = - 5 and y = - 3

P = - 5 + (- 3) = - 5 - 3 = - 8

Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. What percent of the students from the high school go on to college

Answers

Answer:

54% of the students from the high school go on to college

Step-by-step explanation:

We have these following percentages:

30% of the students from a high school face a disciplinary action of some kind before they graduate. Of those, 40% go on to college.

70% do not face action, and of those, 60% go to college.

What percent of the students from the high school go on to college?

Sum of 40% of 30%(face disciplinary action) and 70% of 60%(do not

face disciplinary action). So

[tex]0.4*0.3 + 0.7*0.6 = 0.12 + 0.42 = 0.54[/tex]

54% of the students from the high school go on to college

A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?​

Answers

Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

[tex]Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5[/tex]

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

[tex]Sale\ price= \$22-$5.5\\Sale\ price=\$16.5[/tex]

Thus, the sale price of a DVD is $16.5.

Learn more about Discount here:

https://brainly.com/question/5182397

#SPJ2

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