Answer:
0.5 = 50% probability a value selected at random from this distribution is greater than 23
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.
In this problem, we have that:
What is the probability a value selected at random from this distribution is greater than 23?
This is 1 subtracted by the pvalue of Z when X = 23. So
has a pvalue of 0.5
0.5 = 50% probability a value selected at random from this distribution is greater than 23
The numbers in the chart are -7.1, -3.4, -1.2, 2.1, and 3.4. So, from greatest to least the numbers will be:
3.4, 2.1, -1.2, -3.4, and then -7.1.
With absolute value, the numbers from greatest to least are:
|7.1|, |3.4|, 3.4, 2.1, |1.2|.
However, this is assuming that Friday is 3.4, which was given information on the last question. Hope this helps!
Answer:
546 ft³
Step-by-step explanation:
In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.
Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²
Area of the rectangle: 1.5*11 = 16.5 ft²
Total area: 120 + 16.5 = 136.5 ft²
Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³
Answer:
Step-by-step explanation:
Let x represent the number of attendees that it will take the company to break even.
The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is
16x + 98
Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.
At the break even point,
total cost = total revenue
Therefore,
16x + 90 = 65x
65x - 16x = 98
49x = 98
x = 98/49
x = 2
It will take 2 attendees and the total expenses and revenues is
2 × 65 = $130
