We have been given an equation . We are asked to fill in the blanks using our given equation.
The axis of symmetry will be the vertical line passing through vertex.
First of all, we will convert our given equation in standard vertex form of parabola as:
Standard vertex form of parabola: , where (h,k) is vertex of parabola.
Upon comparing our function with standard vertex form, we can see that vertex of parabola is at .
The axis of symmetry will be vertical line passing through point . The vertical line will pass through , therefore, the axis of symmetry is .
Since our given parabola is an upward opening parabola, so it has a minimum at . This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.
Answer:
the confidence interval for the true weight of the specimen is;
4.1593 ≤ μ ≤ 4.1611
Step-by-step explanation:
We are given;
Standard deviation; σ = 0.001
Sample size; n = 8
Average weight; x¯ = 4.1602
We are given a 99% confidence interval and the z-value at this interval is 2.576
Formula for confidence interval is;
CI = x¯ ± (zσ/√n)
Plugging in the relevant values, we have;
CI = 4.1602 ± (2.576 × 0.001/√8)
CI = 4.1602 ± 0.000911
CI = (4.1602 - 0.000911), (4.1602 + 0.000911)
CI ≈ (4.1593, 4.1611)
Thus, the confidence interval for the true weight will be expressed as;
4.1593 ≤ μ ≤ 4.1611
Where μ represents the true weight
Answer:
Step-by-step explanation:
Given that a firm has a price of $5, an average total cost of $7, and an average variable cost of $4
Price = 5
Var cost = 4
Contribution = 1 dollar per unit
Since contribution is positive, there is scope for getting profit by increasing production.
In the short run, you should __operate______(operate/shut down) because __Price______exceeds ________ average variable cost price . In the long run, you should __exit______(stay in/exit) the market because ________ average total cost price exceeds____price.______average variable cost price average total cost
(8 x 6) 8h =144
48+ 8h=144
144-48= 96
8h=96
96 divided by 8= 12
So he should have to work 12 hours at the restaurant. Hope this helps and sorry if it’s wrong!
A compass because youre just making two arcs