Given two coordinates point 1 as (-23,-14) and point 2 as(-18,2).
To find the midpoint we would use the formula below;

Where x1=-23, x2=-18, y1=-14, y2=2
We would substitute the values into the midpoint formula.

Therefore, the answer is
Since

, we know that

follows a Poisson distribution with parameter

.
Now assuming

denote the mean and standard deviation of

, respectively, then we know right away that

and

.
So,
Answer:
Tthe solution is in the attached file
Step-by-step explanation:
The step by step calculation is as shown in the attachment
Answer:
(x) = 
Step-by-step explanation:
let y = g(x) and rearrange making x the subject, that is
y = 4x - 11 ( add 11 to both sides )
y + 11 = 4x ( divide both sides by 4 )
= x
Change y back into terms of x , with x =
(x) , thus
(x) = 
Answer:
a. £24,714.29
b. £16,833.33
Step-by-step explanation:
The calculation of mean income is given below:-
Mean income = Total addition of salaries ÷ Number of workers
= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000
= £173,000 ÷ 7
= £24,714.29
Now,
the Mean income excluding Deva's salary:
= Formula of Mean income
= Total addition of salaries excluding Deva salary ÷ Number of workers
= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6
= £101,000 ÷ 6
= £16,833.33