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Airida [17]
3 years ago
7

There are two spinners containing only white and green slices. Spinner A has 4 white slices and 1 green slice. All the slices ar

e the same size. Spinner B has 3 white slices and 9 green slices. All the slices are the same size. Each spinner is spun. List these events from least likely to most likely. Event : Spinner B lands on a green slice. Event : Spinner A lands on a white or green slice. Event : Spinner A lands on a white slice. Event : Spinner B lands on a yellow slice.
Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Ok, lets list the important things

  • only green and white slices
  • all slices same size
  • spinner A has 4/5 white slices and 1/5 green slices
  • spinner B has 3/12 white slices and 9/12 green slices

The 4 options are:

  • spinner B lands on a green slice
  • spinner A lands on a white or green slice
  • spinner A lands on a white slice
  • spinner B lands on a yellow slice

We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.

the chance of option 1 happening is 9/12 which is 3/4 which is 75%

the chance of option 3 of happening 4/5 which is 80%

option 1 has a 75% chance

option 2 has a 100% chance

option 3 has an 80% chance

option 4 has a 0% chance

this means that the order is:

1. option 4

2. option 3

3. option 1

4. option 2

because it is least likely to most likely.

hope this helped you out and if you need any questions feel free to ask

good luck in maths!

-cheesetoasty

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Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles

Similarly

\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

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Step-by-step explanation:

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Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

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Decompose the numbers in prime factors

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Multiply common and uncommon numbers with their greatest exponent

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How can I find the prime factorization of a number with an easy explanation?
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Answer:

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