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Answer with explanation:</h2>
The confidence interval for population mean is given by :-
(1)
, where 
= sample mean
z* = critical value.
SE = standard error
and 
, 
= population standard deviation.
n= sample size.
As per given , we have
n= 15
It is known that ring diameter is normally distributed.
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 99% two-sided confidence interval on the true mean piston diameter :
(using (1))
[Rounded to three decimal places]
∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 95% lower confidence bound on the true mean piston diameter:
(using (1))
[Rounded to three decimal places]
∴ A 95% lower confidence bound on the true mean piston diameter= 74.020
Answer:
To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:
X = 7 x (1 + 0.14) 12
X = 33.7
Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.
The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.
Answer: depends on the task.
Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.
4398.22 cm³ the volume of cylinder.
What is volume of cylinder?
- 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
- The unit of volume is in cubic units such as m3, cm3, in3 etc.
Given,
Height of cylinder = 14 cm
radius of cylinder = 10 cm
Now using formula volume of the cylinder = π r² h
put value in formula,
3.14 × 10× 10 × 14 = 4398.22 cm³
Therefore, 4398.22 cm³ the volume of cylinder.
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