Beth wants to know the average value of a card in a standard 52-card deck. She sets the value of aces to 1, jacks, queens, and kings to 10, and all other cards to their face value. She picks a single card from the deck, records its value, and shuffles the deck before picking again. She does 5 trials on Monday, 10 trials on Tuesday, and so on, until her final set of 25 trials on Friday. Knowing that the actual average value of a card is 6.5, what can you conclude from this table?

A) The larger the number of trials, the closer the data was to the theoretical probability.
B) The smaller the number of trials, the closer the data was to the theoretical probability.
C) The average obtained from 5 trials was as close to theoretical probability as the average obtained from 25 trials.
D) The average obtained from 10 trials was as close to theoretical probability as the average obtained from 20 trials.

A

Step-by-step explanation:

The answer is A

A

Step-by-step explanation:

i did it on usa testprep

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!