Answer: 5489
Step-by-step explanation:
Given the following :
Growth rate (r) = 19% per hour
Sample culture in population = 2300
Size of sample after 5 hours =?
Using the exponential relation:
P = Po * r^t
P = population after 5 hours
Po = Initial sample population
t = time
P = 2300 * (1 +19%)^t
P = 2300 ×(1 + 0.19) ^5
P = 2300 * 1.19^5
P = 2300 * 2.3863536599
P = 5488.61341777
P = 5489 (nearest integer)
Hello there!
The answer is c because the equation that is being used is point-slope, which is:
y-y1=m(x-x1)
hope this helps
Answer:
a) 230300 ways
b) Check Explanation
Step-by-step explanation:
a) This is a combination problem,
We require how many ways 4 factories be placed among 50 states.
Mathematically, that is
⁵⁰C₄ ways = 230300 ways
b) If you have no idea which states will be chosen, what is the probability that all 4 factories will be located in the mid-Atlantic region.
This can be done in two ways
Method 1
The mid Atlantic region is one of 9 geographic divisions in the US
Probability of 1 factory being located in this geographic region = (1/9)
The probability of the 4 factories being in just this region = (probability of locating one factory in this region)⁴ = (1/9)⁴ = 0.0001524
Method 2
The mid Atlantic region contains only 3 out of 50 states. (New York, New Jersey, Pennsylvania)
Probability of 1 factory being located in one of the 3 stares = (3/50)
Probability of locating all four factories in one of the states in this region = (3/50)⁴ = 0.00001296.
Answer:
see explanation
Step-by-step explanation:
If a parallelogram then AB = DC and AD = BC
Equating AB = DC, then
3x = x + 4 ( subtract x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
AB = 3x = 3(2) = 6 and DC = x + 4 = 2 + 4 = 6 ⇒ AB = DC
Equating AD and BC, then
2y = y + 2 ( subtract y from both sides )
y = 2
Thus AD = y + 2 = 2 + 2 = 4 and BC = 2y = 2(2) = 4 ⇒ AD = BC
Since opposite sides are congruent then ABCD is a parallelogram
Answer: y/x = 1
Step-by-step explanation:
It was on quizlet
