Answer:
Step-by-step explanation:
In the given equation, the "like terms" are the constants 5/8 and 44.
It simplifies the math if we eliminate the fractions first. Note that 0.75 = 6/8, so now we have:
8(6/8)s - 8(5/8) = 44).
Multiplying all three terms by 8 (above) yields
8(6s) - 8(5) = 8(44), or
48s = 8(44 + 5), or 48s = 8(49)
Dividing both sides by 48 yields s: s = 8(49/48)
Review "like terms:" These are terms that have at least one characteristic in common. 5/8 and 44 are like terms because they are only constants (no variables are present). We must add 5/8 and 44. 0.75s does not have a "like term" in the given equation.
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.
Answer:
parallel
Step-by-step explanation:
all the details are in the attached picture.
Answer:
x∈R
Step-by-step explanation:
2>0
The domain is all real numbers.
x∈R
Answer:
14
Step-by-step explanation:
