3. Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and the linear model for the data. (a) What type of association is this scatter plot?
(b) What is the slope of the line drawn?

Step-by-step explanation:

We will form an equation of line from the points given (6,10) and (2,15)

Using:

On substituting the values in the formula above we will get the required equation of line.

On simplification we will get:

(b) We need to tell at day 0 put x=0 in above equation:

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in

 which is the decrease per day.

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a) (2,15) (6,10)

10-15 = -5

6-2 = 4

Slope is -5/4 or 1.25 in decimal form

15 = -1.25 x 2 + b

15 = 2.5 + b

b – 2.5 = 15 + 2.5

b = 17.5

y=2.25x + 17.5

Y intercept is 17.5

b) on day zero she worked 17.5 hours and the set up time decreased by 1.25 hours per day.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: