Answer:
Find the missing values by using the formula:
= Row total * Column total/Grand total
Win Loss Row total
Normal Conditions <u> 154 </u> <u> 66 </u> 220
Harsh Conditions <u> 14 </u> <u> 6 </u> 20
Column Total 168 72 240
Win - Normal conditions: Loss - Normal conditions
= 220 * 168/240 = 220 * 72/240
= 154 = 66
Win - Harsh conditions Loss - Harsh conditions
= 20 * 168 / 240 = 20 * 72/240
= 14 = 6
Step-by-step explanation:
There are 4 * 4 = 16 outcomes from spinning these spinners. You get an odd number by multiplying an odd number by an odd number. Since there are 2 odd numbers on both spinners the successful outcomes are 2 * 2 = 4 so probability is 4 / 16 = 1 / 4.
Answer:
This is not a direct variation
Step-by-step explanation:
if 12 dollars for 6 bagels is true then each bagel is $2
if 9 dollars for 24 bagels then each bagel is $0.38
If the probability of the event A is P(A) and the probability of the event B is P(B), then the probability P(A and B) is P(A)*P(B).
Since both P(A) and P(B) are equal to 1/2, then:
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
![f(t) = e^{0.4t}](https://tex.z-dn.net/?f=f%28t%29%20%3D%20e%5E%7B0.4t%7D)
How many years will it take for 21 of the trees to become infected?
This is t for which:
![f(t) = 21](https://tex.z-dn.net/?f=f%28t%29%20%3D%2021)
Thus
![e^{0.4t} = 21](https://tex.z-dn.net/?f=e%5E%7B0.4t%7D%20%3D%2021)
Applying the natural logarithm to both sides:
![\ln{e^{0.4t}} = \ln{21}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B0.4t%7D%7D%20%3D%20%5Cln%7B21%7D)
![0.4t = \ln{21}](https://tex.z-dn.net/?f=0.4t%20%3D%20%5Cln%7B21%7D)
![t = \frac{\ln{21}}{0.4}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Cln%7B21%7D%7D%7B0.4%7D)
![t = 7.6](https://tex.z-dn.net/?f=t%20%3D%207.6)
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.