Split the second term in 3x^2 - 14x - 24 into two terms
3x^2 + 4x - 18x - 24
Factor out the common terms in the first two term, then in the last two terms;
x(3x + 4) - 6(3x + 4)
Factor out the common term 3x + 4
<u>(3x + 4)(x - 6)</u>
Answer:
Emily got 7x
Liam got 2x
7x = 2x + 80
5x = 80
x = 16
Liam got 32, <u>Sarah got 48</u>, and Emily got 112
Step-by-step explanation:
Answer:
The probability that the difference between the sample mean
and the true population mean
is : ![P[|\bar{x}-\mu|\leq0.7]=0.9876](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D%3D0.9876)
Step-by-step explanation:
Given :
Population standard deviation
.
Sample size 
The sample mean standard deviation
To find :
The probability that the difference between the sample mean
and the true population mean 

Now, the probability that the difference between the sample mean
and the true population mean
is :
,
is large 



Therefore, the probability ![P[|\bar{x}-\mu|\leq0.7]=0.9876](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D%3D0.9876)
At around 20'000ft. and higher.