Answer:

The number of Bactria after 5.8 hours is 12242.
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by

where, T is the temperature of the food.
When the food is removed from the refrigerator, then the temperature is given by

We need to find the composite function N(T(t)).




where N(T(t)) is the number of bacteria after t hours.
Substitute t=5.8 in the above function.




Therefore, the number of Bactria after 5.8 hours is 12242.
We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
Answer:
Part A = 90
Part B = 145
Step-by-step explanation:
For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.
Answer:
10,000
Step-by-step explanation:
500/0.05= 10,000
You take the amount you are given divided by the decimal form of the percentage you are given to find the answer. It's a reverse from the way you find 5% of 10,000.
0.05=5%
Check your work: 10,000*5%= 500
Answer:
-96.875
Step-by-step explanation: