Answer:
Step-by-step explanation:
Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.
If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)
Finally, four less than the quotient of ten and a number, increased by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4
<em>The resulting equation of the statement is (10/y +8)-4</em>
To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;
f(y) = (10/y +8)-4
f(2) = (10/2 +8)-4
f(2) = (5+8)-4
f(2) = 13-4
f(2) = 9
<em>Hence the value of the expression when y = 2 is 9</em>
Answer: The parametric is being tested here is "p" (population proportion).
The hypothesis test is left-tailed.
Step-by-step explanation:
Given : The null and alternative hypotheses are

The parametric is being tested here is "p", where p stands for population proportion.
Also, the type of test depends on the alternative hypotheses.
Since the alternative hypotheses is left-tailed, so the hypothesis test is left-tailed.
1.) 1.5m/8m= fg/32m
2.) 1.5 (32)= 8m * fg
3.) 1.5 (32)/8m= fg
4.) 6m = fg
Im pretty sure that's right
Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
Answer:
8*2^(n-1)
Step-by-step explanation:
This is a geometric sequence since we multiply from the previous term.
a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.
The first term is 8, so we have
a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)