What is the length of s
2 answers:
You can either solve this with the Pythagorean theorem or the special triangles rule which can be applied to (degrees —>) 45/45/90 or 30/60/90 triangles.
With the Pythagorean theorem: a^2 + b^2 = c^2 is used with the numbers accordingly- 5 and S are legs and can be either a or b while √50 being the hypotenuse can only be c
(5)^2 + (s)^2 =(√50)^2
25 + (s)^2 = 50
√ ((s)^2) = √ (50 - 25)
s = 5
The special Triangles rule actually states that a shortcut can be applied to the corresponding sides (look at picture). S is directly across from a 45 degree angle (and so is 5!)
If a = 5, than s must also = 5.
With the Pythagorean theorem: a^2 + b^2 = c^2 is used with the numbers accordingly- 5 and S are legs and can be either a or b while √50 being the hypotenuse can only be c
(5)^2 + (s)^2 =(√50)^2
25 + (s)^2 = 50
√ ((s)^2) = √ (50 - 25)
s = 5
The special Triangles rule actually states that a shortcut can be applied to the corresponding sides (look at picture). S is directly across from a 45 degree angle (and so is 5!)
If a = 5, than s must also = 5.
5
Step-by-step explanation:
You can use Tan(45)=S/5 to solve for S. Tan basically means Opposite/Adjacent. So the opposite side is S and the adjacent side is S. You plug tan(45) into your calc and then multiply it by 5.
Proportion Below
Tan(45)/1 = S/5
You cross multiply to get Tan(45)*5=S
S would be 5
To check you can use the Pythagorean theorem a^2+b^2=c^2
5^2+5^2=
25+25=50
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Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:
#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:
#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.