Suppose that the amount of algae in a pond dobles every 6 hours. If the pond initially contains 50 ponds of algae, how much alga
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Answer:
(a) The probability that the store’s revenues were at least $9,000 is 0.0233.
(b) The revenue of the store on the worst 1% of such days is $7,631.57.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
And the standard deviation of the distribution of the sum of values of X is given by,
It is provided that:
As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.
(a)
Compute the probability that the store’s revenues were at least $9,000 as follows:
Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.
(b)
Let <em>s</em> denote the revenue of the store on the worst 1% of such days.
Then, P (S < s) = 0.01.
The corresponding <em>z-</em>value is, -2.33.
Compute the value of <em>s</em> as follows:
Thus, the revenue of the store on the worst 1% of such days is $7,631.57.
Remark
Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units
Convert miles/hour to m/sec
Now just multiply all the numerators together and divide by all the denominators.
<em><u>Numerators:</u></em> 2.5 * 1.6 * 1000 = 4000
<em><u>Denominators:</u></em> 3600
numerator/denominator = 4000/3600 m/s = 1.111 m/s
Conclusion
Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.
2.5 miles / hour = 1.
Answer:
Part 1
its asking you to find the slope of the given lines by using the points that they have plotted on the lines
first you need to figure out what the points are, then insert it into the formula
the formula for this would be
Part 2:
its asking you to find the slope using the points that are written in each box
again, just substitute it into the formula
the formula for this would be
Answer:
1. No, Joe is not correct
2.
Step-by-step explanation:
Given: b and c are parallel lines
To find:
1. whether the given statement is correct or not
2.
Solution:
1.
Sum of two angles that form a linear pair is equal to
(linear pair)
So, Joe is not correct
2.
If two lines are parallel then alternate interior angles are equal.
As b and c are parallel lines,
(alternate interior angles)