If u r not interested in the explanation jump to the end ***
1. We assume, that the number 53.55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 53.55 is 100%, so we can write it down as 53.55=100%.
4. We know, that x is 15% of the output value, so we can write it down as x=15%.
5. Now we have two simple equations:
1) 53.55=100%
2) x=15%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
53.55/x=100%/15%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 15% of 53.55
53.55/x=100/15
(53.55/x)*x=(100/15)*x - we multiply both sides of the equation by x
53.55=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x
53.55/6.6666666666667=x
8.0325=x
x=8.0325
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now we have:
15% of 53.55=8.0325.
the total price was 53.55+8.0325=61.5825 the price before the discount
61.5825 - 38 = 23.5825 ~ 23.58
Answer: It has systematic sampling.
Step-by-step explanation:
Systematic sample is a method of statistics which includes the selection of elements from the ordered sampling.
It has equal probability of each element.
It is done by choosing the starting point and selecting other elements after fixing the systematic or periodic interval.
She randomly selects the sixth name as a starting point and then selects every 100th subsequent name (106, 206, 306, etc.)
So, Sixth name is the starting point and then choosing the other elements after fixing an interval of 6.
So, it has systematic sampling.
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
Where 
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that 
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Answer:
(x,y) -> (-x,-y)
Step-by-step explanation:
the coordinates are switched from the (x,y) you have to (-x,-y)
