Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) we have
----> equation A
----> equation B
substitute equation B in equation A
Applying property of exponents
therefore
Part 2) we have
----> equation A
----> equation B
substitute equation B in equation A
Applying property of exponents
simplify
therefore
Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.
5x-6= 3x
⇒ 5x-3x= 6
⇒ 2x= 6
⇒ x= 6/2
⇒ x= 3
Final answer: x=3~
Answer:
The most reasonable unit to measure the 'volume' of a large pot would be:
A: Quarts
