Based on the amount predicted to be spent, the hypotheses will be:
- Null Hypothesis = $1,007.24
- Alternate Hypothesis ≠ $1,007.24
The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.
The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.
In conclusion, the null hypothesis confirms and the alternate denies.
<em>Find out more on the null hypothesis at brainly.com/question/15980493.</em>
<u>Given</u>:
A population numbers 15,000 organisms initially and grows by 19.7 % each year.
Let P represents the population.
Let t be the number of years of growth.
An exponential model for the population can be written in the form of 
We need to determine the exponential model for the population.
<u>Exponential model:</u>
An exponential model for the population is given by

where a is the initial value and
and b is the rate of change.
From the given, the value of a is given by

Also, the value of b is given by

Thus, substituting the values of a and b in the exponential model, we get;

Thus, the exponential model for the given population is 
A is your answer. 100% of last year + the extra 3% this year
Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,
b / sin B = a / sin A
Substituting,
b / sin 85.3° = 44 / sin 48°
The value of b from the equation is approximately equal to 59.01.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.