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.
268 gallons are remaining. The equation would be y=324-7x, with x being 8. 7(8) is 56, and then you take away 56 from 324, which then gives you 268 gallons remaining
Answer:
y + 5 = 2(x−4)
Step-by-step explanation:
slope = 2
y = mx + b
-5 = 2(4) + b
-5 = 8 + b
-8 -8
------------------
-13 = b
y = 2x - 13, in other words --> y + 5 = 2(x−4)
So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).
The slope is 3?? if yes, use the formula y=mx+b and plug in the slope and y int y=3x+3