1 file -> 12 sheets
Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total
So the total number of sheets: 36 / (2/3) = 54
By the binomial theorem,

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.
The polynomial <span>3x2y2 − 5xy2 − 3x2y2 + 2x2 can be simplified by combining like terms.
The result is:
-5xy2 + 2x2
The polynomial is
a binomial (2 terms),
the degrees is 3
the highest order in x is 2 and the highest order in y is 2.</span>
We are asked to solve the formula

for

. Starting off, we can divide both sides by

, so we are left with only the variable

on the right-hand side. Next, we need to multiply the reciprocoal of

, which is

to both sides. This gives us

, which, when simplified, gives us

. Hope this helped and have a phenomenal day!
Answer: -1.51
Step-by-step explanation:
Let
be the population mean rating of car.
As per given , we have


Since population variance is known, so we use z-test.
Test statistic : 
, where n= sample size
= Sample mean
= variance
As per given ,
n=300



Put these values in formula we get



Hence, the value of the test statistic is z= -1.51 .