Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 12 and = 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
Answer:
3200 meters
Step-by-step explanation:
because it is
The solution for equation is x = -6
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
Solve for terms in left hand side of equation
Move the variables to one side and constants to other side
Thus the solution for equation is x = -6
Answer:
So the answer for this case would be n=94 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence2 level is 98% or 0.98 then the significance level would be and , the critical value for this case would be , replacing into formula (b) we got:
So the answer for this case would be n=94 rounded up to the nearest integer