Trapezoid Area =
[ ( Sum of the rules ) × ( height ) ] ÷ 2
_________________________________
Area = [ ( 6 + 12 ) × 8 ] ÷ 2
Area = [ 18 × 8 ] ÷ 2
Area = ( 18/2 ) × 8
Area = 9 × 8
Area = 72
Answer:
(B) a square matrix
Step-by-step explanation:
The given Equations are:
,
and

Which can be written as:
![\left[\begin{array}{ccc}3&-2&2\\7&3&-26\\-1&-11&46\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-2%262%5C%5C7%263%26-26%5C%5C-1%26-11%2646%5Cend%7Barray%7D%5Cright%5D)
Thus, it is a matrix with 3 number of rows and 3 number of columns, therefore the matrix which has same number of rows and columns is a square matrix, thus, a square matrix can be form using the given system of linear equations.
Since the aim of experiment is to check the effectiveness of a new medication, for a better conclusion and results, Ethan must perform some statistical testing i.e. hypothesis testing.
Based on results from that hypothesis testing Ethan can decide if there is a significant decrease of sneezing in the patients of treatment group or not.
However, before performing any such testing, Ethan can also observe the data and conclude on basis of his observations i.e. if considerable number of patients in treatment group show reduced signs of sneezing then the new medicine is effective in reducing sneezing.
Answer:
70 m/s
Step-by-step explanation:
<u>"The speed of a tidal wave in meters/second is given by the square root of the product of the acceleration due to gravity on Earth (9.8 meters/second2) and the depth of the ocean in meters":</u>
The sentence above can be interpreted into the equation shown below (letting speed of tidal wave be "s", acceleration due to gravity be "g", and depth be "d"):

<em><u>Given d = 500 and g = 9.8, we find speed (s):</u></em>

Hence, the speed is 70 meters per second.