Answer:
Associative property of addition
Step-by-step explanation:
A change of grouping is the associative property of addition.
Answer:
a

b

c
With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a
and that
the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b
Step-by-step explanation:
From the question we are told that
The sample size is 
The number that complained about dirty or ill-equipped bathrooms is 
The number that complained about loud or distracting diners at other tables is 
Given that the the confidence level is 95% then the level of significance is mathematically represented as


Next we obtain the critical value of
from the normal distribution table , the value is

Considering question a
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is



Considering question b
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is



8= 2 liters of punch
16= 4 liters of punch
20= 5 liters of punch
28= 7 liters of punch
9514 1404 393
Answer:
- $400 at 2%
- $900 at 3%
- $3600 at 4%
Step-by-step explanation:
Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...
0.02(x -500) + 0.03x + 0.04(4x) = 179
0.21x -10 = 179 . . . . . simplify
0.21x = 189 . . . . . . . . add 10
x = 900 . . . . . . . . . . . divide by 0.21
x -500 = 400
4x = 3600
$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.