What is the first quartile , Q1,of the following distribution ? 24,26,26,27,28,31,33,35,37,38,40,42,43,46,48,55,56
2 answers:
Answer:
A. 27.5
Step-by-step explanation:
We have been given a data set. We are asked to find first quartile of our given data set.
24, 26, 26, 27, 28, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48, 55, 56.
We can see that our given data set is in ascending form and it has 17 data points.
The median of the data set is 9th data point that is 37. The first quartile will be median of lower half.
The 1st quartile will be average of 4th and 5th data point that is:
Therefore, the first quartile of the given data set is 27.5 and option A is the correct choice.
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<h3>Answer: 41 cm^2</h3>
Explanation:
Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles
- The bottom rectangle has area of 4*8 = 32 cm^2
- The top rectangle has area of 3*3 = 9 cm^2
The total area is therefore 32+9 = 41 cm^2
You can say "square cm" or "sq cm" in place of the "cm^2".
Given:
The width at the base of parabolic tunnel is 7 m.
The ceiling 3 m from each end of the base there are light fixtures.
The height to light fixtures is 4 m.
To find:
Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.
Solution:
The width at the base of tunnel is 7 m.
Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.
The function of height is:
...(i)
Where, a is a constant.
The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).
Putting x=3 and h(x)=4 in (i), we get
Putting , we get
...(ii)
The center of the parabola is the midpoint of 0 and 7, i.e., 3.
The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.
2 m on the left side of the center is x=1.5.
A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.
Putting x=1.5 in (ii), we get
It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.
Answer:
26
Step-by-step explanation:
To evaluate this expression, all we have to do is substitute the given values of the variables into the expression. That is, replace every in the expression with a
and every
in the expression with a 5.
Doing so, we get:
(Substitute given values into the expression)
(Evaluate exponential term)
(Add)
Hope this helps!