How many flowers, spaced every 3 in., are needed to surround a circular garden with a 100-ft radius? Use 3.14 for pi.

2512 flowers

Step-by-step explanation:

We need to find the circumference first

C = 2 * pi * r

C = 2 * 3.14 * 100

C = 628 ft

We need to convert this to inches

628ft * 12inches/ft =7536 inches

We want the flowers  every 3 inches, so we divide by 3

7536/3 =2512

We need 2512 flowers

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c