Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
- Let us assume that the statement holds true for n=k.
i.e. is divisible by 3.---------(2)
- Now we will prove that the statement is true for n=k+1.
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
Health insurance atleast that’s what I think
Answer:
a=9 ( I think)
Step-by-step explanation:
we know that sqaure roots always equal to the base
(like 3^2 =9 or (root of 5)^2 equals to 5)
so I used "a" as a variable
so we must set it up at a^2= 9^3
of course, you must solve a, by sqaure rooting it
thus, leaving it
a= 9^(3/2)
but take my answer with a grain of salt ^^"
Answer:
B) 9 square units
Step-by-step explanation:
Split the shape into a right triangle and a rectangle.
The rectangle is 2 by 3, so multiply 2 x 3 for the area: 6.
The triangle has a height of 3 and a base of 2. Multiply to get 6. Then divide by 2 to get: 3.
Add 6 + 3 to get 9 square units.
Hope it helps!
Answer:
a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.
Step-by-step explanation:
An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.
At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:
A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.
At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:
Thus, the correct answer is given by option a.