The city of Port Angeles wants to estimate the percentage of likely voters within its city limits who favor a tax increase to build a new community center. A researcher for the city collects responses from 400 likely voters within the city limits. Match each description with a concept (individual, variable, population, sample, parameter, or statistic). Description f. A likely voter within the city limits.
The set of responses of all likely voters within the city limits.
The percentage of all likely voters within the city limits favoring the tax increase.
The percentage of the 400 likely voters within the city limits favoring the tax increase.
The response of a likely voter within the city limits.
The set of responses of the 400 likely voters within the city limits.
Concept
a. individual
b. parameter
c. population
d. sample
e. variable
f. statistic

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.

Step-by-step explanation:

Explaining the concepts :

An individual simply means each single data point in a dataset.

A set of individuals in a certain make up of interest is called a population.

A sample is defined as a random subset which is representative of the population.

Parameter is a statistical value derived from a population

Statistic is a statistical value derived from a sample

Variable - describes the attributes or characteristic of a sample or population.

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}