Answer:
1 5/12 lb
Step-by-step explanation:
This is a subtraction problem.
He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.
Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.
We start with the
subtraction below
4 2/3
- 3 1/4
---------------
The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.
We use the LCD to get
the subtraction below
4 8/12
- 3 3/12
----------------
Now we subtract the whole numbers and the fractions.
4 8/12
- 3 3/12
----------------
1 5/12
Answer: 1 5/12 lb
Answer:
2401
Step-by-step explanation:
Given that we want to estimate average income in a population.
The standard deviation of income in the population is $1,000
We want confidence interval around our estimate to be +/- $40
i.e Margin of error = 40
We know that margin of error = Std error * Z critical for 95%
i.e. 
Std error = 
Together we get

Answer:3
Step-by-step explanation: becusause it is very easy man
Answer:

Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
if a>0 -----> the parabola open upward (vertex is a minimum)
if a<0 -----> the parabola open downward (vertex is a maximum)
<u>Verify each case</u>
case A) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [5,∞)

case B) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,5]

case C) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [4,∞)

case D) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,4]

The answer is 12
I hope I helped!