Y varies jointly as a and b and inversely as the square root of c. y equals 16y=16 when a equals 4 comma=4, b equals 5 commab=5, and c equals 25.c=25. Find y when a equals 5 comma=5, b equals 4 commab=4, and c equals 4.c=4. Find y when a equals 5 commaa=5, b equals 4 commab=4, and c equals 4.c=4.

y=40

Step-by-step explanation:

If y varies jointly as a and b

y∝ab

If y varies inversely as the square root of c

y∝

Combining the two

y∝

Introducing Variation Constant

y=16, When a=4, b=5, c=25

Therefore the equation connecting a. b and c is:

We are to determine y when a=5, b=4 and c=4

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.