Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
The height of the right triangle is 8.08
<h3>Calculating the height of a triangle </h3>
From the question, we are to determine the height of the described right triangle
From the given information,
The angle measure is 30 degrees adjacent to the base
and
The base is 14
Using SOH CAH TOA
Adjacent = 14
Opposite = height of the triangle
Let the height the h
∴ Opposite = h
Thus,
tan 30° = h/14
h = 14 × tan 30°
h = 8.08
Hence, the height of the right triangle is 8.08
Learn more on Calculating height of triangle here: brainly.com/question/10082088
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Answer:
-20
Step-by-step explanation:
Answer: 1/5
Step-by-step explanation: Since there are 5 blue/green marbles in the bag of 20 it would be 5/20 or 1/5.
For this you will have to know how to add fractions. First of all i like to add the whole numbers together first, so 2+2+3= 7. so now what you have to do is add the fractions together. so 2/3 + 1/4 + 1/2 = ? you will have to find a common denominator for 3, 4, and 2; which is 12. Multiply each fraction by the needed number to get each denominator to 12. so 2/3 will be multiplied by 4, 1/4 will be multiplied by 3, and 1/2 will be multiplied by 6. The new equation and answer will be: 8/12 + 3/12 + 6/12 = 17/12. 17/12 as a mixed fraction is 1 5/12. now we add 1 5/12 and 7 to equal 8 5/12. and then you will have to subtract this from 10, using common denominators and such to get your final answer of 2 1/12. (sorry for the long spiel on how to do this question)
