a rectangle is 6 units "wide" and x -8 use long it has the same area of a triangle with a height of 7 units and a base of x minu
s 3 years what is the area of the rectangle
1 answer:
Answer:
42 square units
Step-by-step explanation:
The area of the rectangle is the product of its length and width:
area = 6(x -8)
The area of the triangle is half the product of its base and height:
area = (1/2)(x-3)·7
These two areas are equal, so we have ...
6(x -8) = (1/2)(x -3)(7)
6x -48 = 3.5x -10.5 . . . . eliminate parentheses
2.5x = 37.5 . . . . . . . . . . . add 48 -3.5x
x = 15 . . . . . . . . . . . . . . . divide by 2.5
The area of the rectangle is ...
area = 6(15 -8) = 42 . . . . square units.
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Answer: -3.0593
Step-by-step explanation:
The test statistic for the difference between two population mean (when population standard deviations are known ) is given by :-
where ,
= Sample sizes taken from two populations 1 and 2.
= Difference between two Sample mean.
= Standard deviations of populations 1 and 2.
As per given , we have
We assume that the data follows a normal distribution.
Then, the test statistic will be :-
Hence, the test statistic= -3.0593