Answer:
279,936 ways
Step-by-step explanation:
Every day the student has to chose a sandwich from the pile of 6 sandwiches. So this means the student has to make a choice from the 6 sandwiches for the 7 days. Since the order matters, this is a problem of permutations.
Daily the student has the option to chose from 6 sandwiches. So this means, for 7 days, he has to make a choice out of 6 options. Or in other words we can say, the student has to make selection from 6 objects 7 times.
So, the total number of ways to chose the sandwiches will be 6 x 6 x 6 x 6 x 6 x 6 x 6 = 
Alternate Method:
Since the repetition can occur in this case, i.e. a sandwich chosen on one day can also be chosen on other day, the following formula of permutations ca be used:
Number of ways = 
where n is the total number of choices available which is 6 in this case and r is the number of times the selection is to be made which 7 in this case. So,
The number of ways to chose a sandwich will be = 
ways
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
Now let's write only what's in the parenthesis.
n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.
It can't be A. since if you only look at managers, you are missing all the sales executives.
It may be C. this option is more random but doesn't guarantee that you will represent both groups of employee's. Also, each time you would conduct the survey, you will receive the exact same results since it is the same people.
It isn't D. for the exact same reason as A. but you're missing managers now.
Therefore the answer is B. Some managers and some sales executives selected at random. This way you get a sample from both categories, and within those groups, it is randomly selected.
I hope this helps!
Using the the density(D)-mass(m)-volume(V) formula
, we can calculate the volume
