Answer:
The person would have to play 2 games for the two bowling alleys to cost the same amount
Step-by-step explanation:
Assume that the number of games that makes the two costs equal is x
∵ A bowling alley charges $2.50 per game plus $4 to rent shoes
∵ The number of games is x
∴ The cost = 2.50x + 4
∵ A second bowling alley charges $4 per game plus $1 to rent shoes
∵ The number of games is x
∴ The cost = 4x + 1
∵ They have the same cost
→ Equate the 2 expressions above
∴ 4x + 1 = 2.50x + 4
→ Subtract 2.50x from both sides
∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4
∴ 1.50x + 1 = 4
→ Subtract 1 from both sides
∵ 1.50x + 1 - 1 = 4 - 1
∴ 1.50x = 3
→ Divide both sides by 1.50
∴ x = 2
∴ The person would have to play 2 games for the two bowling alleys to
cost the same amount
You get 5/10, or simplified as 1/2.
The slope formula is rise over run, or Y(1)-Y(2)/X(1)-X(2), which becomes 5-0/14-4. That then simplifies to 5/10, or 1/2
Calculating the z scores for each student:
zTara = (52-64 )/8 = -12/8 = -1.5
zJamal = (82-64)/8 = 18/8 = 2.25
zSamuel = (66-64)/8 = 2/8 = 0.25
From the z score table, the probability of Tara's score being greater than -1.5 is 0.0668. Therefore, the percentage is 0.0668*100 = 6.68% which means that around 7% of the students got a better mark than Tara, with 93.32% of the students scoring lower than her.
The probability of Jamal's score being greater than 2.25 is 0.0122, therefore the percentage is 0.0122*100 = 1.22% implying that around 1% of the students got a better mark than Jamal.
The probability of Samuel's score being greater than 0.25 is 0.4013, therefore the percentage is 0.4013*100 = 40.13% which means that around 40% of the students got a better mark than Samuel, with 59.87% of the students scoring lower than him.
