Answer:
bottom side (a) = 3.36 ft
lateral side (b) = 4.68 ft
Step-by-step explanation:
We have to maximize the area of the window, subject to a constraint in the perimeter of the window.
If we defined a as the bottom side, and b as the lateral side, we have the area defined as:
The restriction is that the perimeter have to be 12 ft at most:
We can express b in function of a as:
Then, the area become:
To maximize the area, we derive and equal to zero:
Then, b is:
Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
Answer:
Step-by-step explanation:
The value with the exponent is the "multiplier". It is 0.05.
This value is less than 1, so the function represents <em>decay</em>.
The initial value is the number that multiplies the exponential term. It is the value of A when t=0: 250.
- original amount: 250
- growth or decay: decay
- multiplier: 0.05
Answer:
The slope is 1/2
Step-by-step explanation:
The equation is y= 1/2x +2
So the slope would be 1/2
Answer:
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
Step-by-step explanation:
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