Answer:
= - 2
Step-by-step explanation:
The n th term ( explicit formula ) for a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = - 2 and r = 8 ÷ - 2 = - 4, thus
= - 2
To solve the inequality 3/10 is greater than or equal to k - 3/5, we must first set it up. Since 3/10 is greater than or equal to something, we will have a greater than or equal to symbol, with the 'mouth' pointing towards 3/10. Setting this up we get:
3/10 ≥ k - 3/5
Now we want to get k by itself on one side. We can do this by adding 3/5 to each side.
3/10 + 3/5 ≥ k
Simplify
9/10 ≥ k
Answer: 1.53
Step-by-step explanation:
The given data : 4, 4, 4, 4, 6, 8
Number of data values : n= 6
The mean value of the given data will be :-

The formula to find standard deviation:_
![\sqrt{\dfrac{\sum(x-\overline{x})^2}{n}]](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B%5Csum%28x-%5Coverline%7Bx%7D%29%5E2%7D%7Bn%7D%5D)
Now,

The standard deviation will be :-

Answer:
x = 9
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the given angles and equate to 360
90 + 109 + 9x - 5 + 85 = 360, that is
9x + 279 = 360 ( subtract 279 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9