Answer: $ 1792
Step-by-step explanation:
Answer:
Derivative of any constant is zero
you can solve it by first derivative rule
Answer:
y=2^x
Step-by-step explanation:
Answer:
$.06 per ounce
Step-by-step explanation:
To find the cost per ounce, we take the total cost and divide by the number of ounces
$1.92 / 32 oz
$.06 per ounce
Answer:
![P(6am-12\ noon) = 0.305](https://tex.z-dn.net/?f=P%286am-12%5C%20noon%29%20%3D%200.305)
![P(12\ noon - 6pm) = 0.143](https://tex.z-dn.net/?f=P%2812%5C%20noon%20-%206pm%29%20%3D%200.143)
![P(6pm-12\ midnight) = 0.322](https://tex.z-dn.net/?f=P%286pm-12%5C%20midnight%29%20%3D%200.322)
![P(12\ midnight - 6am) =0.230](https://tex.z-dn.net/?f=P%2812%5C%20midnight%20-%206am%29%20%3D0.230)
Step-by-step explanation:
Given
![\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%7BTime%7D%20%26%20%7BInventors%7D%20%26%20%7B6am%20-%2012%5C%20noon%7D%20%26%20%7B295%7D%20%26%20%7B12%5C%20noon%20-6pm%7D%20%26%20%7B138%7D%20%20%26%20%7B6pm%20-%2012%5C%20midnight%7D%20%26%20%7B311%7D%20%26%20%7B12%5C%20midnight%20-%206am%7D%20%26%20%7B222%7D%20%26%20%7BTotal%7D%20%26%20%7B966%7D%20%5C%20%5Cend%7Barray%7D)
Required
The probability of each time interval
To do this, we simply divide the number of inventors in the interval by the total inventors (966)
So, we have:
![P(6am-12\ noon) = \frac{6am-12\ noon}{Total}](https://tex.z-dn.net/?f=P%286am-12%5C%20noon%29%20%3D%20%5Cfrac%7B6am-12%5C%20noon%7D%7BTotal%7D)
![P(6am-12\ noon) = \frac{295}{966}](https://tex.z-dn.net/?f=P%286am-12%5C%20noon%29%20%3D%20%5Cfrac%7B295%7D%7B966%7D)
![P(6am-12\ noon) = 0.305](https://tex.z-dn.net/?f=P%286am-12%5C%20noon%29%20%3D%200.305)
![P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}](https://tex.z-dn.net/?f=P%2812%5C%20noon%20-%206pm%29%20%3D%20%5Cfrac%7B12%5C%20noon%20-%206pm%7D%7BTotal%7D)
![P(12\ noon - 6pm) = \frac{138}{966}](https://tex.z-dn.net/?f=P%2812%5C%20noon%20-%206pm%29%20%3D%20%5Cfrac%7B138%7D%7B966%7D)
![P(12\ noon - 6pm) = 0.143](https://tex.z-dn.net/?f=P%2812%5C%20noon%20-%206pm%29%20%3D%200.143)
![P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}](https://tex.z-dn.net/?f=P%286pm-12%5C%20midnight%29%20%3D%20%5Cfrac%7B6pm-12%5C%20midnight%7D%7BTotal%7D)
![P(6pm-12\ midnight) = \frac{311}{966}](https://tex.z-dn.net/?f=P%286pm-12%5C%20midnight%29%20%3D%20%5Cfrac%7B311%7D%7B966%7D)
![P(6pm-12\ midnight) = 0.322](https://tex.z-dn.net/?f=P%286pm-12%5C%20midnight%29%20%3D%200.322)
![P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}](https://tex.z-dn.net/?f=P%2812%5C%20midnight%20-%206am%29%20%3D%5Cfrac%7B12%5C%20midnight%20-%206am%7D%7BTotal%7D)
![P(12\ midnight - 6am) =\frac{222}{966}](https://tex.z-dn.net/?f=P%2812%5C%20midnight%20-%206am%29%20%3D%5Cfrac%7B222%7D%7B966%7D)
![P(12\ midnight - 6am) =0.230](https://tex.z-dn.net/?f=P%2812%5C%20midnight%20-%206am%29%20%3D0.230)