Answer:
x = - 3 with multiplicity 2
Step-by-step explanation:
f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²
Equating each factor to zero and solving for x
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x + 3 = 0 ⇒ x = - 3
x + 3 = 0 ⇒ x = -3
Thus x = - 3 has multiplicity of 2
The fact that the factor is squared gives the multiplicity
(x + 3)³ has root - 3 of multiplicity 3
<em>Question:</em>
<em>The digit 8 in which number represents a value of 8 thousandths?
</em>
Answer:
See Explanation
Step-by-step explanation:
The question requires options and the options are missing.
However, the following explanation will guide you
Start by representing 8 thousandths as a digit

i.e.
8 thousandths implies 0.008
Next;
Replace the 0s with dashes
_ . _ _8
Note that there are two dashes after the decimal point and before 8
PS: The dashes are used to represent digits
This implies that thousandths is the 3rd digit after the decimal point
Typical examples to back up this explanation are:
<em>17.008, 1.1489, 0.008 and so on...</em>
Answer:
When customers wait longer for tables, they are more likely to pay higher prices.
Step-by-step explanation:
Supply/Demand relationships predict that changing one side will influence the other. If demand exceeds capacity, suppliers can raise prices without risk of losing products sold. In fact, total income will rise. The restaurant may raise it's price to the point that supply meets demand. In this case, the goal of the higher priced meals is to reduce wait times, not meals sold. If the meals sold are all at a higher price/meal, then income rises and wait times are reduced. What's not to like, if you own the restaurant?
Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
= 0.01

∴
(z-critical value)
Sample size = 


= 144.37
= 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.