Josh used a standard deck of 52 cards to conduct an experiment. half of the cards in the deck were red. the other half were black. josh predicted that he would choose a red card in 4 out of 8 trials. when he conducted the experiment, he actually chose a red card 6 out of 8 times. which explains the most likely reason for the discrepancy between josh’s predicted and actual results?

a. he incorrectly predicted the number of times he would choose a red card.
b. he incorrectly determined the actual number of times he chose a red card.
c. he used too few trials for the sample space.
d. he used too many trials for the sample space.

C. He used too few trials for the sample space.

Step-by-step explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card

But Josh took 8 cards as sample space which is not enough for the sample space.

therefore, C. is the right answer. "He used too few trials for the sample space."

(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

its totaly b

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