The bacteria grow from <span>1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be:
an= ao(1+r)^t
12.500= 1,000(1+r)^12
1,000(12.5)= 1,000(1+r)^12
</span>12.5= (1+r)^12
1+r= 1.23427
r= 0.23
Number of bacteria after 20hr would be:
an= ao(1+r)^t
an= 1,000(1+0.23)^20
an= 1,000(62.821 <span>)
an= </span><span>62,821 </span>
Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
You divide the two and that's your answer
Shortest is 3.3 meters
Middle is <span>3.345 meters
Longest is 3.35 meters
Good Luck :D</span>
Answer:
Number of drink = 5
Number of pretzel = 9
Step-by-step explanation:
Given:
Cost of each drink = $4
Cost of each pretzel = $5
Total money = 65
Total number of drink and pretzel = 14
Find:
Number of drink and pretzel
Computation:
Number of drink = x
Number of pretzel = 14 - x
So,
x(4) + (14-x)5 = 65
4x + 70 - 5x = 65
x = 5
Number of drink = 5
Number of pretzel = 14 - x
Number of pretzel = 14 - 5 = 9
