The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
I am pretty sure you can only make one.
If two sides are known, and one of the angles, then the other bits can be deduced and are fixed.
Answer:
Width is 2 and Length is 6
Step-by-step explanation:
- As the data is given, the area of a playground is 12 square yards.
- The length of the playground is 3 times longer than its width.
- Let width is x, length is 3 times therefore, length = 3x
As we know the formula for area,
So by putting values in this formula,
=> 3x2 = 12
=> x2 = 12/3,
=> x2 = 4 ,
by taking square root we get x= 2,
- the width is 2 and length is 3 times hence, length is 3(2) = 6.
The Bernoulli distribution is a distribution whose random variable can only take 0 or 1
- The value of E(x2) is p
- The value of V(x) is p(1 - p)
- The value of E(x79) is p
<h3>How to compute E(x2)</h3>
The distribution is given as:
p(0) = 1 - p
p(1) = p
The expected value of x2, E(x2) is calculated as:

So, we have:

Evaluate the exponents

Multiply

Add

Hence, the value of E(x2) is p
<h3>How to compute V(x)</h3>
This is calculated as:

Start by calculating E(x) using:

So, we have:


Recall that:

So, we have:

Factor out p

Hence, the value of V(x) is p(1 - p)
<h3>How to compute E(x79)</h3>
The expected value of x79, E(x79) is calculated as:

So, we have:

Evaluate the exponents

Multiply

Add

Hence, the value of E(x79) is p
Read more about probability distribution at:
brainly.com/question/15246027
Answer:
25
Step-by-step explanation:
percentage calculator 40 is what percent of 160=25;)