Jim is ranked third best in his class of 50 students.
You have defined x to be the smaller of two consecutive integers. Then the larger will be (x+1). The given relation is
... (x) + 3(x+1) = -5 . . . . the smaller plus 3 times the larger is -5
... 4x + 3 = -5 . . . . . . . .simplify
... 4x = -8 . . . . . . . . . . subtract 3
... x = -2 . . . . . . . . . . . divide by the coefficient of x
The smaller of the two integers is -2.
Option 1 is the correct answer
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given



Required
First, we calculate the probability of landing on side



Next, we calculate the expected value; E(x) using:

When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:


--- approximated
<em>Hence, it is expected that it will land on its side 25 times</em>