What is another way to write 72-(-25)

Investigate the link between Pascal's triangle and 2 and its powers

lina2011 [118]

Answer:

Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle. Pascal's Triangle is an arithmetical triangle you can use for some neat things in mathematics.

The entries in Pascal's triangle are actually the number of combinations of N take n where N is the row number starting with N = 0 for the top row and n is the nth number in the row counting from left to right where the n = 0 number is the first number.

The mathematical formula for the number of combinations without repetition is N!/(n!(N-n)!).

Step-by-step explanation:

To construct Pascal's triangle, start with a 1. Then, in the next row, write a 1 and 1. It's good to have spacing between the numbers. In the third row, we have 1 and 1 on the outside slopes. The 2 comes from adding the two numbers above and adjacent. Thus, we are adding the number on the left, 1, with the number on the right, 1, to get 1 + 1 = 2.

In the next row, the 3 comes from adding the 1 and the 2. This particular Pascal's triangle stopped at 1 5 10 10 5 1, but we could have continued indefinitely.

6 0

4 years ago

Can anyone solve these? Thanks.

sergiy2304 [10]

Graph A is a linear function, while Graph B is an exponential funtion.

5 0

3 years ago

In this question, the domain of discourse is a set of employees who work at a certain company. Ingrid is one of the employees at

krek1111 [17]

Answer:

Step-by-step explanation:

Define Sets:

S(x): x was sick yesterday

W(x): x went to work yesterday

V(x): x was on vacation yesterday

Find:

Logical expression with the same meaning of:

(a) Everyone was well and went to work yesterday.

(b) Everyone who was sick yesterday did not go to work.

(c) Yesterday someone was sick and went to work.

(d) Someone who missed work was neither sick nor on vacation

(e) Ingrid was sick yesterday but she went to work anyway.

Solution:

a) Everyone was well and went to work. People who could have possibly gone to work would have been who were well or un-well so the the resulting set would be.

A (x) = W(x) - (W(x) & S(x))

b) Everyone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

B (x) = S(x) - (W(x) & S(x))

c) Someone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

C (x) ⊆ (W(x) & S(x))

d) Someone who missed work was not sick not on vacation:

D (x) = ( W'(x) & S'(x) & V'(x))

e) Ingrid was sick but went to work,, answer to part c and e are the same

E (x) = C(x) ⊆ (W(x) & S(x))

5 0

3 years ago

A pool is being drained at a rate of 7200 gallons per hour. What is this rate in gallons per minute?

DIA [1.3K]

Answer:

120 gallons per minute

3 0

3 years ago

Read 2 more answers

Suppose the probability that the instructor asks Sam, one of your classmates, is 0.05 and the probability that she/he asks John,

Dafna11 [192]

The probability that the instructor asks one of Sam and John whose probabilities of being asked are as indicated in the task content is; 0.12.

<h3>What is the probability that the instructor asks one of these two students?</h3>

It follows from the task content that the probability that Sam is being asked is; 0.05 while that for John being asked is; 0.07.

Consequently, we may conclude that the probability of either of the two classmates being asked the question in discuss is; the sum of the probabilities and hence, we have;

P(Sam or John) = 0.05 + 0.07

= 0.12.