Answer:
Population of bacteria four hours later or nearest whole number
Step-by-step explanation:
Given,
Let amount of bacteria four hours later is=A
Rate of increase of bacteria per hour
Initial population of bacteria is =54
Time 4 hours
Find the population of bacteria 4 hours later
Solution,
Population of bacteria 4 hours later is
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,
Given information
The given expression in the problem is,
Equivalent expression is the expression which is equal to the original equation but the way of representation is different.
The given equation is,
As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.
Check all the option,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.
Solve it further,
The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.
The expression of the option 4 is not equivalent to the expression given in the problem.
The expression of the option 5 is not equivalent to the expression given in the problem.
Hence the equivalent expression of the given expression are,
Learn more about the equivalent expression here;