Utilize the! operation to determine the count of combinations.
8!/5! = 40,320/120 = 336
Answer:
The increase is linear since the data indicates that sunflowers grew by a consistent amount each month.
Step-by-step explanation:
Referring to the table
Observe that the months progress incrementally (21-1, 3-2=1, 4-3=1).
Moreover
![17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]](https://tex.z-dn.net/?f=17.2-15%3D2.2%5C%20%5B%5Ctext%7Bfrom%20month%201%20to%20month%202%7D%5D%5C%5C%20%5C%5C19.4-17.2%3D2.2%5C%20%5B%5Ctext%7Bfrom%20month%202%20to%20month%203%7D%5D%5C%5C%20%5C%5C21.6-19.4%3D2.2%5C%20%5B%5Ctext%7Bfrom%20month%203%20to%20month%204%7D%5D)
This indicates a linear increase in sunflower count, as the data shows a consistent monthly rise.
Answer:
The gluten content expressed in micrograms per milliliter is 13 µg/mL.
Step-by-step explanation:
Take into account the details given.
The gluten content of the product is specified as 
.
We now need to convert the gluten content to micrograms per milliliter.
For conversion from mg to micrograms, refer to the following facts:
1 mg equals 1000 micrograms.
1 L corresponds to 1000 milliliters.
Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.
Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.
Answer:
a) The outlier is the point located at the bottom right of the graph
b) The plotted points resemble a line that has a positive gradient
c) By conducting correlation analysis, we can determine the strength of the correlation
Step-by-step explanation:
a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK
Thus, he corresponds to the outlier situated nearest to the graph's bottom right
b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well
Referencing the graph:
Age Salary
22 £28000
26 £30000
34 £44000
38 £42000
42 £30000
42 £46000
50 £55000
The data points follow a line demonstrating the proportional increase of salary with age.
c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.
Given:
Total girls in class = 16.
Total boys in class = 14.
To determine:
The various combinations for selecting one girl and one boy.
Solution:
We have,
Total girls = 16
Total boys = 14
Thus,
The total combinations for selecting one girl from 16 girls = 16.
The total combinations for selecting one boy from 14 boys = 14.
Now, the various ways to select one girl and one boy amount to:
Therefore, the total number of combinations is 224.
