What is the upper quartile of the data represented in the following box-and-whisker plot?
1 answer:
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Answer:
Part 1) An expression for the x-coordinate of T is (a+2)
Part 2) The value of x=39 ft (see the explanation)
Step-by-step explanation:
Part 1)
step 1
we know that
The rule of the reflection of a point across the x-axis is equal to
Apply the rule of the reflection across the x-axis to the Q coordinates
Q (a,b) ----------> Q'(a,-b)
step 2
The translation is 2 units to the right
so
The rule of the translation is
(x,y) ----> (x+2,y)
Apply the rule of the translation to the Q' coordinates
Q'(a,-b) -----> T(a+2,-b)
therefore
An expression for the x-coordinate of T is (a+2)
Part 2)
we know that
A reflection is a rigid transformation, the image is the same size and shape as the pre-image
In this problem the floor plan house A and the floor house B have the same size and shape
That means that its corresponding sides and corresponding angles are congruent
therefore
The value of x=39 ft
Answer:
(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 121
Sample mean = 23.4
Sample standard deviation = 3.65
Level of significance = 0.05
Degree of freedom
95% Confidence interval:
Calculation of critical value:
Putting the values, we get,
(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.