T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6 5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2

​

B. T=
kpz {}^{2}kpz
2

C. T=
\frac{kz}{p {}^{2} }
p
2

kz
​

D. T=
\frac{pz {}^{2} }{k}
k
pz
2

​

6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12

7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
​

A.

D. K = 8

B. 216

Step-by-step explanation:

Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6

Solution:

According to the given information:

T varies directly as the square of P.

T varies inversely as Z.

Combining equations (1) & (2)

(Where K is proportionality constant)

(This is the equation of variation)

Plug T=12, P=3 and Z=6 in the above equation of variation, we find:

So, the value of the variation constant = 8

Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:

So, 216 is twice the value of T.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

because 1.2 isnt half of 6 duh