The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
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Answer:
10.58
Step-by-step explanation:
<h2>
Answer and Explanation:</h2><h2 />
The density of a substance is defined as its mass per unit volume. In a mathematical language, this can be written as follows:

From the problem, a student is trying to calculate the density of a ball. She already knows the mass, but is facing a problem because she also needs to find the volume. From geometry, we know that the volume of a sphere is:

Since a ball is a sphere, then the student can use this formula. She just need to measure the radius of the ball and compute the Volumen, then she have to plug both the value of the mass and the value of the Volume in the equation
. An easy way to find the radius is to take the measure of the diameter of the ball and divide that value by 2.
Using the <u>Central Limit Theorem</u>, the statement is false, as for the averages of the data values for a sample group, the standard error is
, hence, the formula is:

While for a single value, it is:

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
Hence, the formulas are different, and for an average of the data values for a sample group it is:

A similar problem is given at brainly.com/question/24663213