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sertanlavr [38]
3 years ago
10

fair die was rolled 10 times with the following results: 5 5 1 3 2 1 5 6 5 1 Which of the following is a correct statement about

the next 10 rolls of the same die? There will be three 1’s because there were three 1’s in the first 10 rolls. There were zero 4’s in the first 10 rolls; therefore, there will be zero 4’s in the next 10 rolls. The probability of getting a 5 is greater than the probability of anything else. Each value (1 to 6) has exactly the same probability of being rolled.
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

Each value (1 to 6) has exactly the same probability of being rolled.

Step-by-step explanation:

Given

Rolls: 10

Outcome: 5 5 1 3 2 1 5 6 5 1

Required

Which is true about the next 10 rolls

In the roll of a fair die (as stated in the question), each face has equal probability of being the outcome of individual rolls.

This implies that options (a), (b) and (c) are not true because they do not support the above statement,

<em>Hence, (d) is correct</em>

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The height of a triangle is 3cm less than twice the base. The area is 10cm2
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Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

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Step-by-step explanation:

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Step-by-step explanation:

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