The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.
In this problem,
The average = $1000
the amount of terms = 3
x = the amount earned Sunday
($1073 + $1108 + x) / 3 = $1000
First, multiply both sides by 3
$1073 + $1108 + x = $3000
Add together like terms
$2181 + x = $3000
Subtract $2181 from both sides.
x = $819
The restaurant needs to earn $819 on Sunday to have an average of $1000
What I see here is a triangle sitting on top of a rectangle, and the
base of the triangle is equal to the length of the rectangle.
To see this, just draw a line between 'F' and 'S'. We can find the
area of the triangle, hen find the area of the rectangle, and then
add the two areas to get the area of the whole polygon.
The triangle:
. . . The base of the triangle is 9 units long.
. . . The height of the triangle is 6 units (from point 'N' down to the line FS).
. . . The area of a triangle is
(1/2) · (base · height)
= (1/2) · (9units · 6units)
= (1/2) · (54 units²) = 27 units².
The rectangle:
. . . The length of the rectangle = 9 units. (line FS)
. . . The height of the rectangle = 2 units. (line WF or line CS)
. . . The area of a rectangle is
(length) · (height)
= (9units · 2units)
= 18 units²
The whole polygon:
The area of the whole polygon is
(area of the triangle) + (area of the rectangle)
= (27 units²) + (18 units²) = 45 units²
Expected number of wins=number of plays times the probability of winning
w=20(14.5/100)
w=20(0.145)
w=2.9
w≈3
So you would expect to win 3 times out of 20 attempts (rounded to the nearest whole number of wins)
Answer:
Neil's age is 12 and the age of Andrea is 8.
Step-by-step explanation:
Let
x ---> Neil's age
y ---> Andrea's age
we know that
Neil is 4 years older than Andrea
so
-----> equation A
Neil was twice as old as Andrea four years ago
so
----> equation B
substitute equation A in equation B
solve for y
<em>Find the value of x</em>
therefore
Neil's age is 12 and the age of Andrea is 8.
Answer:
2
Step-by-step explanation:
