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grin007 [14]
3 years ago
8

the lengths of two sides of a triangle are 15 and 13. find the lengths that the third side must be greater and less then.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

greater than 2

less than 28

Step-by-step explanation:

The sum of the lengths of the two shortest sides must be more than the length of the longest side. If x is the shortest side, ...

... x + 13 > 15

... x > 2

If x is the longest side, ...

... 13 +15 > x

... x < 28

Then the allowed range for the third side is ...

... 2 < x < 28

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A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m
Angelina_Jolie [31]

Answer:

z≈3.16

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we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

<em>step 3:</em>

z statistic is computed as follows:

z=\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } } where

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  • M is the expected proportion of correct answers according to the null hypothesis (0.5)
  • p is the probability of correct answer (0.5)
  • N is the total number of questions in the test (40)

z=\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } } ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

7 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Help need badly please
inna [77]

Answer:

6

Step-by-step explanation:

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zero divided by any non-zero number gives zero

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0+6

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6

7 0
3 years ago
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