Answer:
Step-by-step explanation:
20%. 53.17 times .8 is 42.54 meaning there's a 20% decrease
-2w)23x45(8w9x4) this might be right
Answer: The required time is 0.743.
Step-by-step explanation:
Since we have given that
We need to find the time above which is 68% of the cameras have to be reset.
So, exponential distribution would be
So, it becomes,
Hence, the required time is 0.743.
Answer:
The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²
Step-by-step explanation:
The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;
The given expression is (-5·q·r) × (-2·p·q·r) × p·q
Therefore, we have;
(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²
10 × q³ × r² × p² = 10·q³·r²·p²
∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²
(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.
Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².
Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².
Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².
Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.
I hope this helps!
