There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give speeches, what is the probability that joey with be first, chloe will be second, and zoe will be third?A: 1/1320 B: 1/4 C: 1/48 D: 1/220
Answers
The probability of choosing Joey first is 1/12 .
If that happens, the probability of choosing Chloe next is 1/11 .
Then, the probability of choosing Zoe after that is 1/10 .
The probability of all these things happening is
(1/12) x (1/11) x (1/10)
= 1/1320 = 0.00076 = 0.076 percent
Related Questions
A traditional western pack of playing cards consists of four suits. Each suit has 13cards. Find the fraction of the playing cards are:a)red. B)diamondsc)face cards. D)black and face cards
Tammy mixes the letters s, c, h, o, o, and l thoroughly. without looking, allen draws one letter. expressed as a fraction, decimal, and percentage, what is the probability that allen will not select a consonant? (1 point)
Mr Smith class has 45 students 23 of the students are men and the rest are women what is the fraction best represent the number of women on the class
An equilateral triangle has an altitude length of 27 feet. Determined the length of a side of the triangle
Answers
Answer:
Answers
Answer:
m = (- 3, 3 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is
M = ( ,
) ← midpoint formula
let (x₁, y₁ ) = g (8, - 6 ) and (x₂, y₂ ) = h (- 14, 12 ) , them midpoint m is
m = ( ,
) = (
,
) = (- 3, 3 )
Answers
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
Answers
Answer:
-3 ≤y≤6
Step-by-step explanation:
The range is the output values or the y values
The y values go from -3 to 6 including these values
-3 ≤y≤6
Part 2: How far does the tip of the minute hand travel during that time?
Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?
Part 4: What is the coordinate point associated with this radian measure?
Answers
35/60=.58333
360×.58333 =210 DEGREES
210*pi/180 = 3.665 RADIANS
PART 2: (pi) x 2r x .58333
3.14 x 12 x .58333 = 21.98 in
PART 3: 5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians
PART 4: 2.618 radians * 180/pi = 150°
x coordinate = 6(cos 150°) = -5.196
y coordinate = 6(sin 150°) = 3
the coordinates would be (-5.196, 2)
Answer:
Part 1:
In order to find how many radians the minute hand moves from 1:20 to 1:55, we need to remember that there are 60 minutes in an hour (clock) and there are 360 degrees in the clock since the clock is a circle. After dividing 360 by 60, we find that each minute is equal to 6 degrees. After that, we can subtract the times, which tells us that there are 35 minutes between 1:20 and 1:55. Using this we can just multiply this out, to get 35 times 6, which is equal to 210 degrees. We can get our final answer by converting this into degrees. Since one 1 degree is about 0.0174, we can set up a proportion. After solving, we will get that the minutes hand moves 3.555 radians in total.
Part 2:
In order to find how much the minute hand moves, we must find the circumference, so we get c= pi times diameter. Once plugging in the 12, we see that c=37.68. 37.68 is the circumference of the entire clock and since we only need the circumference/length/distance of 35 minutes, we can set up the proportion of 37.68 in./60=x/35 and solve to get 21.98, which means 21.98 is how far the minute hand travels in 35 minutes.
Answers
-21+1 = -20