Question

In a study of 100 new cars, 29 are white. Find and g, where

Answer 1

Question

In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white.

Answer:

p = 0.29  and q = 0.71

Step-by-step explanation:

Given

Total new cars =  100

White new cars = 29

Required

Determine p and q

From the question;

p represents white new cars

Hence;

$p = 29$

Note that;

$p + q = 100$

Substitute 29 for p

$29 + q = 100$

$29 - 29 + q = 100 - 29$

$q = 100 - 29$

$q = 71$

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

$Proportion,\ p = \frac{p}{new\ cars}$

$Proportion,\ p = \frac{29}{100}$

$Proportion,\ p = 0.29$

For proportion of q

$Proportion,\ q = \frac{q}{new\ cars}$

$Proportion,\ q = \frac{71}{100}$

$Proportion,\ q = 0.71$