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.
3 distinct arrangements - 1 x 9 (or 9 x 1) and 3 x 3
Thus, the total number of arrangements = 2 x 2 = 4 = an even count
Initially, we identify pairs of different factors of 9.
The pairs of factors for 9 are:
(1, 9) and (3, 3)
For each of these pairs, Mr. Deets can create 2 arrangements.
This means the total arrangements Mr. Deets can construct = 2 x 2 = 4, confirming that the overall number is even.
Answer: The result is 
Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.
Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.
This means that 190 grams corresponds to 200 milliliters, thus
The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as
Let’s determine the actual mean
First, we sum all the values
87+46+90+78+89 = 390
Then, we divide 390 by the count of numbers present.
390/5 = 78
Thus, the mean is 78
Emi did not manage to calculate the difference
Answer:
28.4 cm
Step-by-step explanation:
The perimeter of the triangular wall is determined by adding all sides of the right triangle.
The triangle's height is given as 6 cm.
The hypotenuse measures 12 cm.
Using the Pythagorean theorem to find the third side:
Hypotenuse² = opposite² + adjacent²
Assigning the height as opposite = 6 cm, we find:
12² = 6² + adj²
Thus, adj² = 12² - 6²
Which gives us adj² = 144 - 36
So, adj² = 108
Leading to adj = √108
Thus, adj = 10.39 cm
The perimeter totals = 6 cm + 12 cm + 10.39 cm
= 28.39 cm
= 28.4 cm when rounded to the nearest tenth.
