Answer:
4
Step-by-step explanation:
when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).
∴ when volume scale factor = 8
the length scale factor = ∛8 = 2
while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).
∴ when the length scale factor = 2
the surface area scale factor = 2² = 4
The thing that's wrong with the equation is that 2 shouldn't be multiplied by 4 but should have been added.
<h3>How to illustrate the information?</h3>
From the information given, it can be seen that the equation is:
(3x²)(-2x⁴) = 3(-2)x² × x⁴ = 6x^8
Based on the information above, this calculation is incorrect. The correct calculation will be:
(3x²)(-2x⁴) = 3(-2)x² × x⁴
= -6x^6
Therefore, the multiplication should be an addition of the power.
Learn more about equations on:
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Answer:
A) 5x-7y=58
B) y=-x+2 we rearrange B) into
B) x + y = 2 then we multiply B) by -5
B) -5x -5y = -10 adding this to A)
A) 5x -7y = 58 we get
-12y = 48
y = -4
B) x + y = 2
x = 2 +4
x = 6
Step-by-step explanation:
If the cost of one pen is x, the Sasha spend 3x, and Malachi spent 1x.
Sahsa spend 3x - 1x more than Malachi. So, Sasha spent 2x more than Malchi did for a pen.
Just plug in how much a pen costs into x to fi d the numerical answer. :)
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is of:

A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So






Rounding up:
A sample of 997 is needed.