Gareth has a deck of cards with 12 challenge cards and 8 prize cards. Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection. What is the best prediction for the number of times Gareth will select a prize card?

Gareth has a deck of cards with 12 challenge cards and 8 prize cards.

=> The probability he selects a prize card: P = 8/(12 + 8) = 8/20 = 0.4

Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection .

=>The randomness is kept same for all selecting times

Then the best prediction for the number of times Gareth will select a prize card:

=> N = 0.4 x 148 = 59.2 = 59 times

Hope this helps!

:)

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.