Answer:
The total number of possible outcomes = 455
Step-by-step explanation:
Given:
Total number of games = 15
Number of games to be chosen = 3
The total number of ways in which the 3 games out of 15 be choosen can be given by:
where represents total number of games and
represents the number of choices to be made.
Plugging in the known values:
⇒
⇒
⇒ [Canceling out the common terms]
⇒
⇒
Answer:
13
Step-by-step explanation:
x*x=12*12+5*5
x*x=144+25
x*x=169
x=13
Answer:
L(t) = 1100(1.87)^(t/2.4)
Corrected question;
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population gains 0.87 of its size every 2.4 days, and can be modeled by a function, L, which depends on the amount of time, t (in days). Before the first day of spring, there were 1100 locusts in the population. Write a function that models the locust population t days since the first day of spring.
Step-by-step explanation:
Given;
Initial amount P = 1100
Rate of growth r = 87% = 0.87
Time step k = 2.4 days
The case above can be represented by an exponential function;
L(t) = P(1+r)^(t/k)
Where;
L(t) = locust population at time t days after the first day of spring
P = initial locust population
r = rate of increase
t = time in days
k = time step
Substituting the given values;
L(t) = 1100(1+0.87)^(t/2.4)
L(t) = 1100(1.87)^(t/2.4)
the locust population t days since the first day of spring can be modelled using the equation;
L(t) = 1100(1.87)^(t/2.4)
Total number of sides = n
Half, means n/2 of them have 150° each.
Half, means n/2 of them have 170° each.
Sum of angles in a polygon is given by the formula: (n -2)*180.
So summing the first of 150 degrees and the other half of 170 would be equal to the total of (n -2)*180.
(n/2)*150 + (n/2)*170 = (n -2)*180
(n/2)*(150 + 170) = (n -2)*180
(n/2)*(320) = (n -2)*180
160n = 180n - 360
160n - 180n = -360
-20n = -360
n = (-360) / (-20). Divide out
n = 18
So the polygon has 18 sides.
I hope this helps.
Regards.