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lawyer [7]
2 years ago
14

you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater

than 10
Mathematics
1 answer:
sasho [114]2 years ago
6 0

Answer:

<h2>1/12</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected number of outcome/Total outcome

Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36

Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.

The expected outcomes = 3 outcomes

The probability that the sum of my dice is greater than 10 = 3/36

<em>Hence the probability that the sum of my dice is greater than 10 is 1/12</em>

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Which is greater 5/8 or 7/16
melamori03 [73]

Answer:

5/8=0.62

7/16=0.43

So 5/8 is greater

6 0
2 years ago
4. Ashley claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree?
stepladder [879]

<u>Answer</u><u> </u><u>:</u><u>-</u>

Let the side of the square measure a cm, thus, according to the question,

  • New length = 3(a cm)

We know that,

➭ Area ( Square ) = a²

Thus, the area of the square with normal length i.e. a cm, will be,

⤳ Area = a x a

⤳ Area = a²

Now, by taking the new length, the area will become,

⤳Area = 3a x 3a

⤳ Area = 9a²

Now,

We observe that, if we divide these, we get,

➤ 9a²/a²

( a² will get canceled since its common )

Thus, the ratio becomes,

➭ 9 : 1 = Area square with tripled length : Area of square

Thus, the area will increase by 9 times, and not 3.

Hence, Ashley's assumptions are wrong.

5 0
2 years ago
if there were 161,809,242 females in the US in 2014 and 5.9% were diagnosed with diabetes, how many females had been diagnosed?
AlekseyPX
Im 90% sure its 9546745 females

8 0
3 years ago
Read 2 more answers
6. Can an isosceles triangle be an obtuse triangle? Explain.
kondor19780726 [428]

Answer:

No. It can be obtuse angle are angles greater than 90° but less than 180°

And for an isosceles triangle, two angles must be equal so if two angles are greater than 90° that mean the sum of angle in a triangle is above 180° which is not possible

Step-by-step explanation:

5 0
2 years ago
The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
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