Total balls in bag(sample space)=30
Red balls=4
Green=3
White=6
Yellow=7
Blue=10
event P(E) = (Number of favorable outcomes) ÷ (Sample space).
So p(red)=no red balls/total balls in the marble
P(red)=4/30=2/15
P(blue)=10/30=1/3
P(white)=6/30=1/5
P(yellow)=7/30
P(green)=3/30=1/10

4 0

2 years ago

A town hasapopulation of p people based on a 2010 census. According to research conducted by the town council, the population of

jasenka [17]

Answer:

p = 497 ( to the nearest whole number)

Step-by-step explanation:

In order to do this calculation, we will apply the principle of accounting, where a certain amount is compounded periodically and yielding a future value. Compound interest is used because the percentage growth rate is added on the new amount gotten each year, and not on the first or original amount.

Hence:

FV = PV × $(1+ \frac{r}{n}) ^{n*t}$

where FV = future value = population in 2020 = 810

PV = present value = population in 2010 = p

r = percentage growth rate in decimal = 5% = 5/100 = 0.05

n = growth rate period per year = once = 1

t = time in years = 2010 to 2020 = 10 years

∴ $810 = p * (1+ \frac{0.05}{1}) ^{1*10}$

$810 = p * (1.05) ^{10}\\810= p(1.6289)$ (dividing both sides by 1.6289)

p = 810 ÷ 1.6289 = 497.2 = 497 (to the nearest whole number)

∴ population in 2010 = 497

4 0

3 years ago