The null hypothesis and the research hypothesis respectively refers to;
A: Population; Sample
<h3>Null and Alternative hypothesis</h3>
Null hypothesis is defined as a working hypothesis making a claim about the population parameter in question. This means it deals with an overall Population.
Whereas, the alternative hypothesis also called the research hypothesis is one that seeks to disapprove or validate the null hypothesis and as such it is based on the results taken from a sample of a given population from which the null hypothesis is based.
Read more about Null hypothesis and Alternative Hypothesis at; brainly.com/question/15980493
Answer:
Average cost of the painting = $14.55
Step-by-step explanation:
According to the question:
- Number of brushes used =

Total cost of brushes = 
Note:Total cost of any item = Product of number of items with its unit price.
- Number of canvases =

Total cost of canvases = 
- Number of tubes used =

Total cost of tubes = 
- Number of paintings =

We have to find the average cost of painting.
Let the average cost be 'x' .
So,
⇒
⇒ 
⇒ 
Average cost of the painting = $14.55
Answer:
1000000000000000000000000000000
Answer:

Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:

We will solve for x. Cross-multiply:

Distribute:

Subtract 21 from both sides:

Divide both sides by 7. So, the value of x is:

However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:
