Answer: x^2 + 9x + 20
Step-by-step explanation:
Foil Method: (a + b) (c + d) = ac + ad + bc + bd
Lets say:
a = x
b = 5
c = x
d = 4
Plugging in the numbers: xx + 4x + 5x + 5*4
Combine like terms:
xx = x^2
4x + 5x = 9x
5 * 4 = 20
You're then left with: x^2 + 9x + 20
Well you can't actually find a number, but you can make an equation.
lets call the bag of candy x, and the number of students in the teachers class S.
she gives every student in her class 4 pieces, so to find that amount, we have to multiply the number of students in her class by 4, the pieces of candy. 4S
afterwards she has 48 pieces, which is the endpoint, x is the starting point because that's the amount of candy the teacher started with.
so your equation is x-4S=48, but the thing is, the question is looking for the amount of students she gave candy to, so we have to isolate S, or in easier words; put S on one side, and the numbers on the other.
so the equation is S=1/4x-12
Answer: D.) This is an example of inductive reasoning because a general conclusion is reached based on a specific example,
Step-by-step explanation: Inductive reasoning simply refers to making conclusion about a specific subject or topic from patterns or insights derived from related examples. In the scenario above, the conclusion reached encompasses the overall full time 4 years college student. However, this conclusion was inferred based on a specific example comprising of only a randomized sample of 1200 full time 4 years college students in 100 campuses. random. The example failed to incorporate every student, Hence, the conclusion is induced as the choice of a sample of students may not convey the choice or decision of all.
Deductive reasoning meanwhile follows that a generally established fact is used to make conclusion about a specific example.
Answer:
Step-by-step explanation:
There are 2 ways to proceed further.
Option A is with using the random number table.
- Let us assume that each gravestone has a unique number between 1 and 55914.
- Choose a row at random from the table.
- Take the first number consisting of 5 digits, if the number corresponds with a number between 1 and 55914, then select the corresponding plot, otherwise move on to the next 5 digit-number.
Repeat until 395 gravestones have been selected.
Option B is with using any calculator with capability of generating random integer. Here for example consider any TI series programmable calculator.
- Enter the following command into your calculator:
randInt(1,55914,395)
- The first and second number are the lower and upper limits between which the values have to lie.
- The third number is the number of required selections.
Answer:
2
Step-by-step explanation:
5 / 1/5 and 10 / 1/5
