The change represents decay and the percentage decrease is 2.9%
<h3>Exponential function</h3>
The standard exponential function is expressed as y = ab^x
where:
a is the initial
b is the rate
If the value of b is less than 1 hence the function is decay and if greater than 1, the function is growth
GIven the expoenential function y=100(0.971)^x
Since the value of b = 0.971 < 1, hence the function is a decay.
The percentage decrease = 1 - 0.971 = 2.9%
Hence the percentage decrease is 2.9%
Learn more on exponential function here: brainly.com/question/12940982
Answer:
(a) 100
(b) 10.27
Step-by-step explanation:
We are given
No of elements = 15
Σ(x-c) = 72,Σ(x-c)^2 = 499.6
,where c is a constant
and the sample mean is 104.8.
(a) lets take into account Σ(x-c) = 72
this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c
so the equation becomes Σxi -15c = 72, ............(1)
where xi means the sum of the elements of x from 1 to 15.
we are given the mean as 104.8
this means that Σxi/15 = 104.8
Σxi = 15*104.8 = 1572 .............(2)
substituting (2) in (1)
we get
1572 - 15c = 72
15c = 1500
c = 100
(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.
so the variance is
σ^2 = Σ(x-c)^2/15 - (Σ(x-c)/15 )^2
= 499.6/15 - (72/15)^2
= 33.31 - 23.04
σ^2 = 10.27
Therefore the variance of the given problem is 10.27.
Answer:
The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.
Answer:d
Step-by-step explanation:
36 total
19 over 10
19/36
