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Aleksandr [31]
3 years ago
10

A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. the slots 0 and 00 are colored green, 18 of the others are red, and

18 are black. the dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. the wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. gamblers can bet on various combinations of numbers and colors. what is the probability that the ball will land in any one slot? give your answer to 2 decimal places. fill in the blank: the probability that the ball will land in any one slot is
Mathematics
1 answer:
sammy [17]3 years ago
6 0
There are 38 slots  so P(any 1 slot) = 1/38
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Salina, Tamara, and Uma are working on their homework together. Salina tells her friends that she got θ=52∘θ=52∘ for the inverse
svlad2 [7]

Answer:

The values reported by Uma, Salina, and Tamara are all possible values for inverse cosine

Step-by-step explanation:

Solution:-

- The solution to the inverse "cosine" problem would have a general form:

                                    θ = cos^-1 ( a )

Where,  a: Any arbitrary constant, - 1 < a < 1

- The value of θ = 52° was reported by Salina suggests that the answer lies in the first quadrant of a cartesian plane where ( sin (θ) , cos (θ) , tan (θ) ) have positive values for "a".

Hence,                            0 < a < 1 , θ = 52°

- The value of θ = 128° was reported by Tamara suggests that the answer lies in the second quadrant of a cartesian plane where ( sin (θ) ) have positive values for "a" and (cos (θ) , tan (θ) have negative values for "a". So for cos (128):

Hence,                           -1 < a < 0 , θ = 128°

- The value of θ = 308° was reported by Uma suggests that the answer lies in the fourth quadrant of a cartesian plane where ( cos (θ) ) have positive values for "a" and (sin (θ) , tan (θ) have negative values for "a". So for cos (308):

Hence,                           0 < a < 1 , θ = 308°

- The angle θ reported by Uma and Salina are similar solution because of property law of complementary angles:

                                     cos (θ) = cos ( 360 - θ )

Where, θ = 52°,            cos (52°) = cos( 308°)  .. Uma and Salina conform

However,                      cos ( 180 - θ ) = - cos (θ)  

                                     cos(128) = - cos ( 52 ) .... Uma and Tamara conform.

5 0
3 years ago
The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? E
WARRIOR [948]
The picture in the attached figure

Part 1) <span>What is the total area of the swimming pool?
</span>
we know that
<span>area of the swimming pool=area rectangle-area semi circle

area rectangle=20*36-----> 720 ft</span>²

area semicircle=pi*r²/2
r=18/2----> 9 ft
area semicircle=pi*9²/2----> 127.17 ft²

area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²

the answer Part 1) is
The area of the swimming pool is 592.83 ft²

Part 2) <span>What is the perimeter of the swimming pool?
</span>
perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle
perimeter of rectangle=2*[20+36]---> 112 ft

perimeter semi circle=2*pi*r/2----> pi*r
r=9  ft
perimeter semi circle=pi*9----> 28.26 ft
 so
perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft

the answer Part 2) is
122.26 ft

6 0
3 years ago
Supposed out of every 20 students are absent from school less than 5 days a year. Predict how many students would be absent from
Mademuasel [1]
15,000 ????????????????
7 0
3 years ago
Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
AURORKA [14]
A suitable solver will tell you instantly that the measure of b is 179.18 ft.

_____
If you want to do it yourself (meaning also with the aid of a calculator), you can use the Law of Sines. The given side is side "c", so you need the measure of angle C. That will be
  180° -33° -63° = 84°
Then side "b" can be found from
  b/sin(B) = c/sin(C)
  b = c*sin(B)/sin(C)
  b = (200 ft)*sin(63°)/sin(84°) ≈ 179.183 ft

7 0
3 years ago
Read 2 more answers
Factor: 120u² + 125u + 30.
NemiM [27]

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

6 0
2 years ago
Read 2 more answers
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