Answer:
Step-by-step explanation:
Answer:
a) 20 more people said their favorite vehicle color was blue compared to those who said white.
b) 55 people said their favorite vehicle color was either black or silver
Step-by-step explanation:
(a). How many more people said their favorite vehicle color was blue compared to those who said white explain?
250 people
32% said blue. 32% of 250 is 0.32*250 = 80
24% said white. 24% of 250 is 0.24*250 = 60
80 - 60 = 20
20 more people said their favorite vehicle color was blue compared to those who said white.
(B) how many people said their favorite vehicle color was either black or silver ?
18% said black, 4% said silver.
18 + 4 = 22% of 250 = 0.22*250 = 55
55 people said their favorite vehicle color was either black or silver
By De Moivre's theorem,

We can stop here ...
# # #
... but we can also express these trig ratios in terms of square roots. Let
and let
. Then recall that



On the left,
so that

Since
, we're left with

because we know to expect
. Then from the Pythagorean identity, and knowing to expect
, we get

Both
and
are
-periodic, so that

and

so that the answer we left in trigonometric form above is equal to
