Answer:
Step-by-step explanation:
5x+14<4 or -2(x-8)<-2
-14 -14 -2x+16<-2
5x<-10 -16 -16
÷5 ÷5 -2x<-18
x<-2 ÷-2 ÷-2
x>9 (sign changes because you divide by a negative number)
x<-2 or x>9
The simplified answer to that radical is attached
The surface area of the box will be 112 in²
Explanation
According to the given diagram, the shape of the box is Right Rectangular prism.
The formula for the surface area is :
, where
length,
width and
height of the rectangular prism
Given in the diagram that, 
So, plugging the values into the formula...

So, the surface area of the box is 112 in²
Answer:
P(X=3) = 0.2013
Step-by-step explanation:
After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is


Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:
Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2
Let,
be the expression of the binomial distribution, for our case we have:
p=0.2
x = 3
n=10
Then,


Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%