You probably made a typing error in writing s = -3 and wrote s - = 3 instead.
The given expression is:
Substituting the given value of s in the previous equation, we get:
Thus the value of given expression becomes -46 for s = -3
Answer:
Step-by-step explanation:
area = ½×base×height
21 = ½(x+1)x
42 = (x+1)x
x² + x - 42 = 0
(x+7)(x-6) = 0
x = -7, 6
-7 is an extraneous solution, so x = 6
Answer with Step-by-step explanation:
A continuous function is a function that is defined for all the values in it's domain without any sudden jumps in the values in the domain of the function. All the given situations are analysed below:
1) The temperature at la location as a function of time is continuous function since at any location the temperature is defined for all the time and the temperature cannot suddenly change from say 10 degrees Celsius to 100 degrees Celsius instantly without passing through intermediate values.
2) The temperature at a specific time as a function of the distance due west from New York city is a continuous function as temperature is defined for all the instants of time without any sudden changes as we move between places.
3) The altitude as an function of distance due west from New York is a discontinuous function as there may be sudden changes in the altitude due to changes in topography such as presence of cliff or valley.
4) The cost as a function of function of distance traveled is a discontinuous function since the cost of travel increases integrally in increments of distance and not in a continuous manner.
5) The current in a circuit as function of time is discontinuous function as the current jumps instantly from 0 to a non zero value when we switch on the circuit and same is true when we switch off the circuit it's value decreases instantly to 0.
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>
