Answer:
Step-by-step explanation:
The initial population of bacteria is 800 and we know that this number is quadrupling every hour.
<u>We're going to find a function in terms of t (time) that gives us the population of bacteria at that time.</u>
Since the population is quadrupling every hour the function in terms of t (where t is expressed in hours) is:
Now we need to find the time when there will be 5,120,000 bacterias. This means the time t when f(t) = 5,120,000
So we have 5,120,000 =
Therefore, the time when there will be 5,120,000 bacterias will be:
Answer:
[see below]
Step-by-step explanation:
The difference between the record high and low temperatures in Charlotte is 109℉. We are given the record low temperature of -5℉.
Let 'h' be the high temperature.
Hope this helps.
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
14 cm.
Step-by-step explanation:
Let the radius of the circle = r cm.
Then circumference of circle = 2 π r.
Since circumference exceeds the radius by 74 cm
Therefore, according to the question,
- Hence, the radius of the circle is 14 cm.
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Answer:
x-intercept: (-40,0)
y-intercept: (0,15)
Step-by-step explanation:
the x-intercept is the point that lies on the x-axis,
and the y-intercept is the point that lies on the y-axis.