Answer:
P(t) = 100t +2600
4100 in 2005
Step-by-step explanation:
You are given two points for (year, population) = (t, p):
(4, 3000), (8, 3400)
It is useful to use the two-point form of the equation for a line.
p = (p2 -p1)/(t2 -t1)(t -t1) +p1
p = (3400 -3000)/(8 -4)(t -4) +3000
p = 400/4(t -4) +3000
p = 100t +2600
P(t) = 100t +2600 . . . . written in functional form
In 2005, the population is predicted to be ...
P(15) = 100×15 +2600 = 4100
Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514
Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.
Let x be the height of the flagpole, then

Therefore, the <span>equation that could be used to find the height of the flagpole is
</span><span>x/5 = sin 50</span>
Answer:
9.1 feet
Step-by-step explanation:
Please refer to the image attached for explanations
The standard deviation is the square root of the variance
so if the variance is 256, then the standard deviation is : sqrt 256 = 16 <==