Plug the x-values from the table into the given equation and solve for y.
y = 5 - x²
<u>First column</u>
replace x with -2
y = 5 - (-2)²
= 5 - (4)
= 1
(x, y) = (-2, 1)
<u>Second column</u>
replace x with -1
y = 5 - (-1)²
= 5 - (1)
= 4
(x, y) = (-1, 4)
<u>Third column</u>
replace x with 0
y = 5 - (0)²
= 5 - (0)
= 5
(x, y) = (0, 5)
<u>Fourth column</u>
replace x with 1
y = 5 - (1)²
= 5 - (1)
= 4
(x, y) = (1, 4)
<u>Fifth column</u>
replace x with 2
y = 5 - (2)²
= 5 - (4)
= 1
(x, y) = (2, 1)
Answer:
The equation of the parabola is given to be : y = -x² + 36
So, the airplane will cut the rainbow if the graph of the equation of airplane intersects the graph of rainbow.
Now, to find the equation of airplane :
The points through which airplane passes are : (1,0) and (0,2)
⇒ Equation : 2x + y = 2
This equation will intersect the parabola at exactly two points.
And the points are the solution of these two equation :
(-4.916,11.832) and (6.916,-11.832)
The required table is :
x -4.916 11.832
y 6.916 -11.832
Try to times the all together
The answer is 12. If you read from left to right, the numbers go up 12, if you go from right to left, they go down 12. Hope this helps!
Answer:
Step-by-step explanation:
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about μ if the sample size, n, is 17. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
