Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens. All taxis in Athens are blue or green. You swear, under oath, that the taxi was blue. Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable (i.e., if the taxi was green, it appears green to you 75% of the time, and blue otherwise; similarly, if the taxi was blue, it appears blue to you 75% of the time, and green otherwise).

Required:
a. Is it possible to calculate the most likely color for the taxi? (Hint: distinguish carefully between the proposition that the taxi is blue and the proposition that it appears blue.)
b. What if you know that 9 out of 10 Athenian taxis are green?

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

[tex]12=2\times 2\times 3[/tex]

[tex]21=3\times 7[/tex]

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

Answer:

theres the answers. hope this helps!

Step-by-step explanation:

Answer:

What are the dimensions, a, b, and c, of the net?

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15  cm

Step-by-step explanation:

I took it!

Answer:

statistic

Step-by-step explanation:

because its calculated

Answer:

parameter

Step-by-step explanation:

i got 100

Answer:

this is all on you i cant do thatXD

Step-by-step explanation:

Answer:

D. 211

Step-by-step explanation:

180-19=161

161+50=211

19+(211(x)-50)=180

211° is the value of x since if u substitute it u will get your answer note that angle on a straight line is 180°

Answer:

i havent did this in years BUt i will try the top would be the same as the bottom

Step-by-step explanation:

Answer:

Length × breadth × height

20×22×2= 880m cube

Answer: 48.9

Step-by-step explanation:

i just did it on delta math

Answer:

Show the whole pic

Step-by-step explanation:

Answer:

For the first group we have the pairs:

year           population

0                20

1                 80

2                320

3                 1,280

4                 5,120

5                 20,480

Here we can see that the population quadruples each year

(4*20 = 80, 80*4 = 320, 320*4 = 1,280, etc...)

then the population equation is:

P(0) = 20

P(1) = 20*4

P(2) = (20*4)*4 = 20*4^2

We already can see the pattern, then we can write this relationship as:

P(t) = A*(4)^(t)

Where:

t represents time in years, and A is the initial population, that we know it is 20, then:

P(t) = 20*(4)^t

This is the function that represents the table.

B) Now we have a group of 20 squirrels and the population triples each year, with the same reasoning than before we can write the equation that models this situation as:

Q(t) = 20*(3)^t

C) Now, if the initial population of the second group is 40, the equation becomes:

Q(t) = 40*(3)^t

The population by year 3 is given by replacing t by 3, then:

Q(3) = 40*(3)^3 = 1080

And the population of the other group in year 3 is seen in the table, it is 1,280, then the population of the first group is bigger by year 3, and it is greater by:

1,280 - 1,080 = 200

So the first group is larger by 200 squirrels.

Answer:

The answer should be 120.512821\%

Step-by-step explanation:

1 To convert the fraction to a decimal, divide the numerator by the denominator.

235÷195

2 Use long division.

1.205128

3 To convert to a percent, multiply the decimal by 100.

1.205128×100=120.512821

4 Add the percent sign.

120.512821%

Answer:

Point form: (1,-2)

Equation form: x=1 y= -2

Step-by-step explanation:

Hope it helps

Answer:

HEYOOO

The answer must be that it has a MAX

Step-by-step explanation:

Its because the graph has a MAXIMUM "peak" of the line--the maximum point on the graph of which it reaches!

HOPE THIS HELPS!

Answer:

Step-by-step explanation:

π/2 < 4π/5 < π

4π/5 is in Quadrant II

sin(4π/5) = y-coordinate of A

The coordinates is equal to sin(4π/5) = y-coordinate of A.

We need to find the coordinates is equal to sin (4pi/5).

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.

In second quadrant(π/2 < θ < π), only sin and cosec are positive.

In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.

In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

Then, we have π/2 < 4π/5 < π

So, 4π/5 is in Quadrant II

Hence,  the coordinates is equal to sin(4π/5) = y-coordinate of A.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

Answer:

B

Step-by-step explanation:

A is not correct because 1 does not equal 1/4 +1/4.

B is correct because 1/4*1 does equal 1/5. (and all the other ones)

C is not correct because 1 does not equal 1/4*1/4

D is not correct because 1/4 does not equal 1-1/4

Answer:

B

Step-by-step explanation:

Answer:

90 cm

Step-by-step explanation:

15 x 6 = 90

Answer:

c. (4,3)

Step-by-step explanation:

If you look at all the rest of the coordinates, compared to (4,3). None of them are in the red area. They are either in the blue, or the orange. To be a solution it has to be in both areas, (the red). Hope this helps!

Answer:

h=141/t

Step-by-step explanation:

Answer:

The best answer would be C. $1880.48

Step-by-step explanation:

Hope this helps

Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

15 total miles each hour

Step-by-step explanation:

for this situation and the information given in the question, all we have to do is divide the total amount by 3 (since its 1/3) to get the amount of total miles they drove at, wich is the speed they drove in this case

(sidenote: kinda slow if ya ask me but ok XD)

hope this helps you :D

Answer:

63

Step-by-step explanation:

A triangle always has a total of 180 degrees

Since we know two we can solve for x

76+41+x=180

x=63

Answer:

63

Step-by-step explanation:

Basically there is 180 degrees in every triangle. So all you do is

180-76=104

104-41= 63

so your answer is 63 degrees.

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Answer:

70 stones

Step-by-step explanation:

since there are 40 seashells represented by 4 in the ratio

you can do 7 times 10 and that equals 70.

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

Answer:

Pretty sure the answer would be 1

Step-by-step explanation:

Answer:

i think 2.7

Step-by-step explanation:

Answer:

a= 38°

b=52°

c=40°

Step-by-step explanation:

hope it helped:)))))))))))))))))))

Answer:

An obtuse angle is more than 90°. We know that a 90° angle, also known as a right angle, is in the shape of an "L".

So, an obtuse angle looks wider than an "L".

Hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

20.75 Absolute change

Step-by-step explanation: