Answer:
27/40
Step-by-step explanation:
Answer:
<em>(-3/5, 29/5) </em>
Step-by-step explanation:
Given the simultaneous equation;
-3x+4y=25...... 1
y= -3x+4 ..... 2
We are to confirm if (-3, 4) is the solution to the equations;
Substitute equation 2 into 1;
From 1;
-3x+4y=25
-3x + 4(-3x+4) = 25
-3x -12x + 16 = 25
-15x = 25 - 16
-15x = 9
x = -9/15
x = -3/5
Substitute x = -3/5 into equation 2 to get y;
From 2;
y= -3x+4
y = -3(-3/5)+4
y = 9/5 + 4
Find the LCM
y = (9+20)/5
y = 29/5
<em>Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.</em>
Answer:
The average rate of change for this sequence is 1
Step-by-step explanation:
The average rate of change is calculated as the slope of the line joining the end points of the sequence.
In this case the end points are;
(-.5, 2.5) and (1,4)
We simply calculate the slope using the gradient formula;
Change in y / change in x
(4 - 2.5)/(1 - -0.5) = 1
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>
