2
6
12
Answer:
Common ratio =
Step-by-step explanation:
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where = nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio =
=
=
Therefore, common ratio will be
The probability of rolling a number greater than 4 on a fair 6-sided die is 1/3, calculated by dividing the number of successful outcomes (2, as only 5 and 6 are greater than 4) by the total number of outcomes (6 as it's a 6-sided die).
To find the probability of rolling a number greater than 4 on a 6-sided die, we first need to identify the total number of possible outcomes. Since it's a standard 6-sided die, this would be 6. Then, we consider the number of outcomes that fulfill the condition, which in this case is rolling a number greater than 4. This leaves us with 2 successful outcomes (5 and 6). Therefore, the probability of this event is calculated as follows:
Probability = Number of successful outcomes / Total number of outcomes = 2 / 6 = 1 / 3
So, the probability of rolling a number greater than 4 on a 6-sided die is 1/3.
#SPJ3
Answer:
Step-by-step explanation:
Ginny determines that the population is decreasing at an average rate of 3% per year.
So, this is an exponential decay case
Formula :
where a is the amount after n years
a is the initial amount
r is the rate of depreciate
n is the number of years
Now we are given that When she began her study, the frog population was estimated at 1,200.
So, a=1200
r = 3% = 0.03
n =x
Substitute the values in the formula:
Hence function represents the frog population after x years is
O y = 4
O y = 0
O y = 3
0y=-3
Answer:
To determine the value of the function at x = -3, we need to substitute -3 into the given function and evaluate it. Let's go through each option one by one:
1. y = 4: If this is the function, then substituting x = -3 would give us y = 4. However, this option does not match the given function.
2. y = 0: Substituting x = -3 into this function would give us y = 0. However, this option does not match the given function either.
3. y = 30: Substituting x = -3 into this function would give us y = 30. However, this option does not match the given function.
4. y = -3: Substituting x = -3 into this function would give us y = -3. This option matches the given function, so the value of the function at x = -3 is indeed y = -3.
Therefore, the correct answer is:
y = -3
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Answer:
drop out
Step-by-step explanation: