Answer: $8,100
Step-by-step explanation:
If it does not rain, the producer stands to make a profit of $15,000.
If it rains, the producer will lose the $8,000 they invested.
The chance of rain is 0.3 which means the chance it does not rain is 0.7.
Producer's expected profit is the weighted average of these outcomes;
= (15,000 * 0.7) + ( -8,000 * 0.3)
= 10,500 + ( - 2,400)
= $8,100
The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
The midpoint (a, b) between two linear points 
and 
is calculated as:
On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).
Substitute these values into the mid-point formulae
The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
Learn more on the midpoint of a line here: brainly.com/question/18315903
Answer:
110 in²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h . . . . . . where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
In your problem, b1 and b2 are 13 in and 9 in, and h is 10 in. Putting these values into the formula, we find the area to be ...
A = (1/2)(13 in + 9 in)(10 in) = 110 in²
The area of the trapezoid is 110 square inches.
_____
First, we identify the appropriate formula to use for the geometry shown in the diagram.
Next, we determine from the diagram the values to use in the formula.
Last, we evaluate the formula and make a summary statement of results.
Answer:
Therefore,
P = { 1 , 2 , 3 , 4 , 5 }
Step-by-step explanation:
Natural numbers:
Natural numbers are those numbers starting from 1 , 2 , 3 , 4 ,......... and so on.
Also it is denoted by 'N'.
Zero does not include a natural number.
Therefore the set of natural numbers less than 6 is 1 , 2 , 3 , 4 , and 5.
Here in the question it is given that
P is the set of natural numbers
less than 6.
∴ P = { 1 , 2 , 3 , 4 , 5 }
