Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option: An event organizer finds each year's attendance for the past five years is about of previous year's attendance.
So, here the total attendance is compounding every year by a factor of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
Answer:
(15,595, 16,805)
Step-by-step explanation:
We have to:
m = 16.2, sd = 3.75, n = 150
m is the mean, sd is the standard deviation and n is the sample size.
the degree of freedom would be:
n - 1 = 150 - 1 = 149
df = 149
at 95% confidence level the t is:
alpha = 1 - 95% = 1 - 0.95 = 0.05
alpha / 2 = 0.05 / 2 = 0.025
now well for t alpha / 2 (0.025) and df (149) = t = 1,976
the margin of error = E = t * sd / (n ^ (1/2))
replacing:
E = 1,976 * 3.75 / (150 ^ (1/2))
E = 0.605
The 95% confidence interval estimate of the popilation mean is:
m - E <u <m + E
16.2 - 0.605 <u <16.2 + 0.605
15,595 <u <16,805
(15,595, 16,805)
Answer:
The following are the solution to the given points:
Step-by-step explanation:
for point A:
The set A is not part of the subspace
for point B:
The set B is part of the subspace
for point C:
In this, the scalar multiplication can't behold
∉ C
this inequality is not hold
The set C is not a part of the subspace
for point D:
The scalar multiplication s is not to hold
∉ D
this is an inequality, which is not hold
The set D is not part of the subspace
For point E:
The is the arbitrary, in which is arbitrary
The set E is the part of the subspace
For point F:
The arbitrary so, they have as the arbitrary
The set F is the subspace of
Answer:
2.236
Step-by-step explanation:
you could estimate it to be between 2 and 3 (because 5 is between 4 and 9)
or you just put it into a calculator