What’s the scale factor? Please hurry I’m tired and sleep deprived help me I just don’t get it and I want sleep
1 answer:
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The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
Write both the equation in the form of same base number as,
The power of the power of a number can be written as product of both the numbers. Thus,
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
Solve it further to find the value of p as,
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Learn more about the equivalent expression here;
Answer:
25%.
Step-by-step explanation:
When calculating percentile of a value within a sample population, you'll want to use what's called the z-score formula, notated as such:
z = (x – μ) / σ
Or, the z-score equals the difference of the x-value minus the mean (μ), divided by the standard deviation (σ). We can use the equation to sub in our numbers:
Since we are looking for scores above 80, what we want to find is the area under the normal distribution curve that is to the <em>right</em> of our value of 80, or the pink area illustrated in the attached picture.
For this, we can use the standard Z table to look up our z-score and find what percent of our chart we've filled, to the <em>left</em> of our value. You can find Z tables in algebra textbooks or online, like this one: http://www.z-table.com/
In this instance, our z-score gives us a resulting Z table percentile between .7454 (z-score of 0.66) and .7486 (z-score of 0.67). This means that, in our normal distribution with a mean of 70 and a standard deviation of 15, the area to the <em>left</em> of the value of 80 is about 74.6%.
So, now we know that our value of 80 makes up about 74.6% of our curve from the left. To find the area to the <em>right</em>, we just subtract from the total area, which is 1 in a normally distributed curve. This gives us 25.4%. Since we're looking for the percent of test takes scoring above our value, I'll round that down to 25%.
