Answer:
Step-by-step explanation:
We are given the following in the question:
The needle size should not be too big and too small.
The diameter of the needle should be 1.65 mm.
We design the null and the alternate hypothesis

Sample size, n = 35
Sample mean,
= 1.64 mm
Sample standard deviation, s = 0.07 mm
Type I error:
- It is the error of rejecting the null hypothesis when it is true.
- It is also known as false positive error.
- It is the rejecting of a true null hypothesis.
Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.
Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.
Answer:

Step-by-step explanation:
The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.
The area of a triangular pyramid is given by :

Where
b is the area of base

So, the required area is equal to
.
A quick sketch of the point in a coordinate grid reveals a 3x8 rectangle with a perimeter of 22. The distance between (-2,1) and (-2,4) is 3 and the distance between (-2, 1) and (6,1) is 8
Answer:
Step-by-step explanation:
We have to write 243 as a power of some number.
So, if we factorize 243 we get,
243 = 3 × 3 × 3 × 3 × 3
Therefore, we can write 243 as a power of 3.
No other number can be written in powers of 243 because it do not contain any other factor than 3.
Hence, 243 can be written as :

Answer:
What other information does Jada need to communicate about this sequence of transformations
Step-by-step explanation: