Given that the scale readings of the laboratory scale is normally distributed with an unknown mean and a standard deviation of 0.0002 grams.
Part A:
If the weight is weighted 5 times and the mean weight is 10.0023 grams, the 98% confidence interval for μ, the true mean of the scale readings is given by:

Thus, we are 98% confidence that the true mean of the scale readings is between 10.0021 and 10.0025.
Part B:
To get a margin of error of +/- 0.0001 with a 98% confidence, then

Therefore, the number of <span>measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence is 22.</span>
Answer:
∠ B = 45°
Step-by-step explanation:
∠ A and ∠ Bare alternate exterior angles and are congruent , then
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
Answer:
E) m/(kp²)=n Gorilla Costumes
Step-by-step explanation:
m/(np²)=k
m=knp²
m/(kp²)=n
E) m/(kp²)=n Gorilla Costumes
Answer:
(a) 
(b) 
(c) 
(d) 
(e) 
Step-by-step explanation:
Solving (a):
Given

Required
Express as a product
Express 10x as 5 * 2x

Apply distributive property


So:

Solving (b):
Given

Required
Express as a product
Express 2x and 3x as 2 * x and 3 * x, respectively

Apply distributive property



So:

Solving (c):
Given

Required
Express as a sum/difference
Apply distributive property



Solving (d):
Given

Required
Express as a sum/difference
Apply distributive property


Solving (e):
Given

Required
Express as a product
Factorize

Apply distributive property

So:
