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iogann1982 [59]
3 years ago
5

You roll two six-sided dice. Match each event with its probability.

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

A) probability the sum is 8 or 11= 4/21

B) probability that sum is 12 or less than 10 = 6/7

C) Probability that the sum is 3 or less than 3 = 2/21

D) Probability that the sum is 2 or 10 = 1/7

Step-by-step explanation:

Since we have the same probability of each event in each dice, the answer would be just to check the different outcomes, two dices, each with 1 to 6;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)

Thus, there are 21 possible outcomes.

Now,

A) probability that the sum is 8 or 11;

From the outcomes above, the number of outcomes that have a sum as 8 or 11 are;

(2,6) ; (3,5) ; (4,4) ; (5,6)

So,probability = 4/21

B) From the outcomes above, the number of outcomes that are 12 or less than 10 are;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(6,6).

There are 18 possible outcomes.

So, probability that sum is 12 or less than 10 = 18/21 = 6/7

C)From the initial 21 outcomes, the number of outcomes that the sum is 3 or less than 3 are;(1,1);(1,2)

Thus,

Probability that the sum is 3 or less than 3 = 2/21

D) From the initial 21 outcomes, the number of outcomes that the sum is 2 or 10 are;

(1,1); (4,6) ; (5,5)

Thus,

Probability that the sum is 2 or 10 = 3/21 = 1/7

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Question attached! Please explain how you got them :)
zhannawk [14.2K]
A) Mean - add numbers of animals,  and then divide by the number of students.

numbers of animals =1*20+2*11+3*18+4*10+5*3 +6*18 = 259
number of students = 20+20+11+18+10+3+18 = 100
mean=numbers of animals /number of students = 259 / 100=2.59

b) median
You can write 20 zeroes, 20 ones, 11 twos and so on. and the remove from left and right equal amount of number, when you get in the middle,it is going to be median
<u>20  "0", 20  "1", 11  "2"</u>,          <u>18  "3", 10 "4", 5  "3", 18 "6"
</u>      51 place                                       51 place
 From the left 20+20+11=51 places
18+5+10+18=51 places 
We can see that no single middle number. In the middle is going to be two numbers 2 and 3, and divide them by 2.     
(2+3)/2=2.5  median

3) (127/151)*100%≈ 84.11%


8 0
3 years ago
ABC
aev [14]

Answer:

A

Step-by-step explanation:

If 50 is the diameter that thr radius is 25 and the equation to find the area of a circle is pi(r^2). So you would do pi(25^2) and that is 1963

4 0
2 years ago
Write a real-life word problem that corresponds to the equation below.
ella [17]

The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"

<h3>How to solve the equation</h3>

A real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?

In this case, the length of the garden will be the square root of 144. This will be calculated thus:

x² = 144

x = ✓144

x = 12

Therefore, the length of the garden is 12 feet.

Learn more about equations on:

brainly.com/question/13763238

7 0
3 years ago
Select the equation that is equivalent to the equation y-3 = 2(x + 5).
kakasveta [241]

Answer:y=2x+13

Step-by-step explanation:You would distribute the 2 to get y-3=2x+10. Then add the three over to get your final answer.

4 0
3 years ago
Please solve for me it's urgent. A rectangle has 10 and 6cm each. find the area of a square with the same perimeter as that of t
elena55 [62]

Answer:

64 cm²

Step-by-step explanation:

Firstly,let us lay down the clues;

So, we have been given the Length and Width of the rectangle.

Rectangle;

<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>

<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>

We know that

Perimeter= 2L + 2W

Perimeter= 10+10+6+6

Perimeter =32 cm

In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.

So,

Perimeter of square =32 cm

Length of one side of the square =32÷4

=8 cm

Area= L × W

Area= 8 cm× 8 cm

Area= 64 cm²

Hope it helps.

5 0
3 years ago
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