Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are
The volume of the box is equal to
so
simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A
solve for y
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x
therefore
The original length was 41 inches and the original width was 16 inches
Answer:
Commutative property of multiplication
Step-by-step explanation:
Commutative property of multiplication basically means that the order in which you multiply numbers does not matter.
For exampe:
3 x 4 = 4 x 3
12 = 12
In your case:
5 x 7 x 4 = 5 x 4 x 7
140 = 140
If we break that down:
5 x 7 x 4 = 5 x 4 x 7
35 x 4 = 20 x 7
140 = 140
In my opinion I would use the mean. But the options that are given I would choose answer A. But I'm not 100% sure.
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if 
and 
then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p
Answer:
Step-by-step explanation:
