A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for males earning $100,000 or more annually and for females earning $80,000 or more annually. Out of 267 persons who replied to their survey, 32 are listed under this category.

Standard error=0.02

Step-by-step explanation:

Calculation for What is the standard error of the sample proportion

First step is to find P

P=32/267

P=0.1199

Now let calculate standard error of the sample proportion

Using this formula

Standard error=√p(1-p)/n

Let plug in the formula

Standard error=√(0.1199* (267-32/267)/267

Standard error = √(0.1199*(235/267)/267

Standard error= √(0.1199*0.8801)/267

Standard error=0.02

Therefore the standard error of the sample proportion will be 0.02

he spend 5.1 minutes chatting with his friends.

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5.1

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for