Find a common denominator that 8 and 3 can go into.. which is 24
5/8 = 1/3
15/24 - 8/24
7/24
Hope this helped
Answer:
520 feet
Step-by-step explanation:
The easiest way to visualize this problem is to sketch a quick diagram.
For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.
Hope this helps!
Answer:
A
Step-by-step explanation: hope it helps
9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
___
You seem to have ...
![\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5E5%5Ctimes8%5E4%7D%7B16%7D%3D%5Cdfrac%7B2%5E5%5Ctimes%282%5E3%29%5E4%7D%7B2%5E4%7D%5Cqquad%20%28a%3D3%29%5C%5C%5C%5C%3D%5Cdfrac%7B2%5E5%5Ctimes2%5E%7B3%5Ccdot4%7D%7D%7B2%5E4%7D%3D%5Cdfrac%7B2%5E5%5Ctimes2%5E%7B12%7D%7D%7B2%5E4%7D%5Cqquad%20%28b%3D12%29%5C%5C%5C%5C%3D2%5E%7B5%2B12-4%7D%3D2%5E%7B13%7D%5Cqquad%28c%3D13%29)
_____
<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.
![2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}](https://tex.z-dn.net/?f=2%5Ccdot2%5Ccdot2%20%3D%202%5E3%5Cqquad%5Ctext%7B2%20is%20a%20factor%203%20times%7D)
Multiplication increases the number of times the base is a factor.
![(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5](https://tex.z-dn.net/?f=%282%5Ccdot2%5Ccdot2%29%5Ctimes%282%5Ccdot2%29%3D%282%5Ccdot2%5Ccdot2%5Ccdot2%5Ccdot2%29%5C%5C%5C%5C2%5E3%5Ctimes2%5E2%3D2%5E%7B3%2B2%7D%3D2%5E5)
Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.
![\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1](https://tex.z-dn.net/?f=%5Cdfrac%7B%282%5Ccdot2%5Ccdot2%29%7D%7B%282%5Ccdot2%29%7D%3D2%5C%5C%5C%5C%5Cdfrac%7B2%5E3%7D%7B2%5E2%7D%3D2%5E%7B3-2%7D%3D2%5E1)
Answer:
d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.
Step-by-step explanation:
Confidence interval:
x% confidence
Of a sample
Between a and b.
Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.
In this question:
I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.
Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.