The 4 consecutive integers are 95, 96, 97 and 98.
The fourth integer is 98.
<u>Step-by-step explanation:</u>
Let us consider the 4 consecutive integers to be 'x' , 'x+1' , 'x + 2' , 'x + 3'
The sum of the 4 consecutive integers= 386
x + (x+1) + (x+2) + (x+3) = 386
4x + 6 = 386
4x = 380
x = 380/4
x = 95
x+1 = 96
x+2 = 97
x+3= 98
The 4 consecutive integers are 95, 96, 97 and 98.
The fourth integer is 98.
For this case, what I did was to graph both points on the same Cartesian plane.
Assuming that the theater is at the origin of the coordinate system.
The red dot is the theater.
The blue dot is the restaurant.
The restaurant coordinates are:
(0, -9)
answer the coordinates of the point (0, -9)
solution:
You have only two qualitatively different outcomes possible. Count
the number of ways to get each of the two.
There are just two possible outcomes here: the two missing socks
make a pair (the best case) and the two missing stocks do not make a
pair (the worst case). The total number of different outcomes (the ways
to choose the missing socks) is 10 C 2 = 45.
The number of best-case ones is 5; hence its probability is 5 /45 = 1/9
The number of worst-case ones is 45 − 5 = 40; hence its probability is 40/45 = 8/9.
On average, you should expect 4 • 1/ 9 + 3 • 8 /9 = 28/ 9 = 3 1/ 9 matching pairs.