Answer:
Step-by-step explanation:
The basic model for this growth is the exponential function: y = a(b)^c, where a is the initial value, b is the growth rate and c is the time.
Here we have P = fish population = (2 fish)(3)^t
STEP 1:
put numbers in order from lowest to highest
517, 517, 565, 627, 714, 728, 867, 961
STEP 2:
find the difference between the lowest and highest numbers
961 - 517= 444 ft^2 range
ANSWER: The range of the areas is 444 ft^2.
Hope this helps! :)
A dodecagon has 12 sides. That means that the smallest angle of rotational symmetry is 360/12 or 30°. All of its angles of rotational symmetry will be multiples of 30, including 180°. 135°, since it is not a multiple of 30°, is not a rotational angle for this figure. The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).
Maximum weight the bridge can support in kilograms is 101696
Step-by-step explanation:
- Step 1: Given capacity of bridge = 100 British tons. Find how many kilograms are equivalent to 1 British ton.
1 British ton = 2240 pounds
1 pound = 0.454 kg
⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg
- Step 2: Find how many kilograms are in 100 British tons.
⇒ 100 × 1016.96 = 101696
Answer:
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Step-by-step explanation:
For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
97.4% finished:
This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that 
100 runners are chosen at random
This means that 
Find the probability that at least 5 of them did not finish the marathon
This is:

In which









0.1199 = 11.99% probability that at least 5 of them did not finish the marathon