This dot plot shows the number of hours 20 sixth grade students slept on a Saturday night. 4 (1)
6 (2)
6.5(4)
7(4)
7.5(3)
8(5)
8.5(1)
sleep in hours
Select all the true statements about the data used to build the dot plot.
Six students slept for at least 8 hours.
The mean amount of sleep was 6.25 hours.
More than half of the students slept 7 hours or less.
Only 1% of the students slept more than 8 hours.
The difference between the most hours of sleep and the least for these students was 2.5 hours.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

6

step-by-step explanation: