Answer:
Step-by-step explanation:
Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.
To find : A 99% confidence interval for the mean yield when the new catalyst is used ?
Solution :
Let X be the yield of the batches.
We have given, n=10 ,
, s=5.8%
Since the size of the sample is small.
We will use the student's t statistic to construct a 995 confidence interval.

From the t-table with 9 degree of freedom for 


The 99% confidence interval is given by,




I believe it would be 4
This is because when divided by 3, 3x+12y=3 turns into x+4y=3
Answer:
5/hypotenuse, the square root of 7/ leg
Step-by-step explanation:
3^2+4^2=25 or 5^2. you use a^2+b^2=c^2. it would be one of the hypotenuses. If the missing number is a leg, you would do 4^2=3^2+x^2. 16=9+x^2, 7=x^2, so you plug in the numbers differently.
I mean, they both do. i am not 100% sure, but im pretty sure. Hope this helps!
Answer:
267.947 cm^{3} of gel is required to fill the plastic ball.
Step-by-step explanation:
<em>The radius of the ball is given as 4 cm.</em>
<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>
The volume of the sphere is given by the formula,
, the R is the radius of sphere.
Thus, the volume of gel required to fill the plastic ball to make it stress ball is
267.947 cm^{3} of gel.