​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

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?

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

Hence, it is expected that it will land on its side 25 times

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls