Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
Answer:
-786
Explanation:
Move 4^-4 to the numerator using the negative exponent rule 1/x^-n = x^n
<em>-(3×^4)</em>
Raise 4 to the power of 4.
<em>-(3×256)</em>
Multiply 3 by 256.
<em>-1×768</em>
Multiply -1 by 768.
<em>-768</em>
4/3 is your answer because if you simplify 8/6 by dividing both the numerator and the denominator by 2, you will get 4/3.
Also, if you want a mixed number, it is 1 1/3.
Hope this helps!
Answer:
- strong negative linear correlation
- -0.986
Step-by-step explanation:
You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.
The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.
The strong negative correlation number available to you is -0.986.
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If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.