Determine which set of numbers can be the measures of the sides of a triangle.
2 answers:
Answer:
Option A) 13, 10, 16
Step-by-step explanation:
We are given the following information in the question:
The triangular Inequality:
- The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a) 13, 10, 16
Thus, they can be the measures of the sides of a triangle.
b) 1, 2, 3
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
c) 5.2, 11, 4.9
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
d) 208, 9, 219
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
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Answer:
perimeter of a square= 4 times square root of area
Answer with explanation:
An Unbiased Dice is Rolled 199 times.
Frequency of outcomes 1,2,3,4,5,6 are=28, 29, 47, 40, 22, 33.
Probability of an Event
→→→To check whether the result are significant or not , we will calculate standard error(e) and then z value
1.
→→If the value of z is between 2 and 3 , then the result will be significant at 5% level of Significance.Here value of z is very less, so the result is not significant.
2.
Result is not significant.
3.
Result is not significant.
4.
Result is not significant.
5.
Result is not significant.
6.
Result is not significant.
⇒If you will calculate the mean of all six z values, you will obtain that, z value is less than 2.So, we can say that ,outcomes are not equally likely at a 0.05 significance level.
⇒⇒Yes , as Probability of most of the numbers that is, 1,2,3,4,5,6 are different, for a loaded die , it should be equal to approximately equal to 33 for each of the numbers from 1 to 6.So, we can say with certainty that loaded die behaves differently than a fair die.