Aresearcher wished to gauge public opinion on gun control. he randomly selected 1000 people from amongst all registered voters and asked them the following question: "do you believe that gun control laws which restrict the ability of americans to protect their families should be eliminated? ". identify the abuse of statistics.

a) nonresponse

b) loaded question

c) self interest

d) reported results

B) Loaded question  is the answer. A loaded question is a complex question that contains unjustified assumptions.

Step-by-step explanation:

The abuse of statistics refers to the misuse of numerical data sometimes due to error or sometimes intentionally to manipulate people's opinions. This abuse can cause a biased opinion if the person is not careful to notice the error or manipulation.

Here, we can see that the researcher has clearly stated, that gun control law prevents the ability of families to protect themselves. This can give biased opinions. Rather it should have been simply asked if the people wanted to eliminate such law.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.