Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer: y²z⁴ / x¹²
Explanation:
1) The expression to simplify:
2) Rule: power of a power:
3) Rule: product of powers with identical bases
4) Add up the exponents
5) Transfer the negative exponent to the denominator:
The exponent attached to x is 12, for y it is 2, and for z it is 4.
It's false due to the squares being reduced to their minimum values.
Answer: C. Significant at 0.036
Step-by-step explanation:
Given:
Total samples selected Ns= 500
Airplanes that arrived on time Na = 482.
Airplanes that arrived late Nl = 500 - 482 = 18
Calculating the probability of an airplane arriving late:
P(L) = Nl/Ns
P(L) = 18/500
P(L) = 0.036
An event is deemed significant if its probability is equal to or less than 0.05.
As P(L) < 0.05
P(L) = Significant at 0.036
