Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴ 
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25
Mari and Kai's test scores are shown below: Mari: 72, 80, 90, 73, 74, 90 Kai: 56, 63, 70, 100, 32, 23 If Kai and Mari both got a
mezya [45]
Answer:
A. Kai
Step-by-step explanation:
1st Step - find the average test scores for Mari and Kai
1st Step - find the average test scores for Mari and Kai
Mari: 72 + 80 + 90 + 73 + 74 + 90 = 479
479 ÷ 6 (total number of tests) = 79.8 (Average test score for Mari)
Kai: 56 + 63 + 70 + 100 + 32 + 23 = 344
344 ÷ 6 (total number of tests) = 57.3 (Average test score for Kai)
2nd Step - Now each student got a 100 on the next test (the 7th test). So add 100 to the initial total.
Mari: 479 + 100 = 579
579 ÷ 7 (new total number of tests) = 82.7 (New average test score for Mari)
Kai: 344 + 100 = 444
444 ÷ 7 (new total number of tests) = 63.4 (New average test score for Kai)
3rd Step - find the difference between Mari's test scores. then find the difference between Kai's test scores to see who will have the greatest increase in math grade.
Mari: 82.7 - 79.8 = 2.9
Kai: 63.4 - 57.3 = 6.1
6.1 is greater than 2.9
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The median is 80 in^2 cause median means the middle #