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:
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
Step-by-step explanation:
Total plants = 11
Domestic plants = 7
Outside the US plants = 4
Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:
P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ
where n = total no. of trials
x = no. of successful trials
p = probability of success
q = probability of failure
Here we have n=4, p=4/11 and q=7/11
P(X≥1) = 1 - P(X<1)
= 1 - P(X=0)
= 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰
= 1 - 0.16399
P(X≥1) = 0.836
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
False because if you're given the equation 6x - 3 = y, you don't have a denominator
X + Y is equal to 13 so you can out this