Determine whether the evaluated group is a population or a sample. (a) based on a randomly selected group of 500 patients with high cholesterol, it was found that 67% have heart disease. is this a population or a sample; (b) an investigation of 150 randomly selected local restaurants concluded that 42% of local restaurants have serious health code violations. is this a population or a sample

We know that population is a universe set that represents all individuals related to a required particular characteristic where as a sample is a part of that population represents the whole population.

Given : (a) Based on a randomly selected group of 500 patients with high cholesterol, it was found that 67% have heart disease.

Here, 500 patients are representing a part of population of patients.

Hence, its a sample.

(b) An investigation of 150 randomly selected local restaurants concluded that 42% of local restaurants have serious health code violations.

Here, 150 randomly selected local restaurants are representing a part of population of local restaurants.

Hence, its a sample.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions