Andrew had a collection of 300 baseball cards at the beginning of the summer.

Gnoma [55]

Answer:

The lower quartile is $Q_1=33$ thousand dollars.

The median quartile is $Q_2=39$ thousand dollars.

The upper quartile is $Q_3=45$ thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by $\frac{n+1}{2}$ where n is all scores in the data set.

Because n = 10, the median position is $\frac{10+1}{2}=5.5$

The median is the average of the fifth and sixth positioned scores

$Q_2=\frac{39+39}{2} =39$

Step 3: Compute $\frac{n+1}{2}$ where n is all scores below $Q_2$ .

For scores below $Q_2$ , use only 23, 25, 33, 34, 39.

Because n = 5, the median position is $\frac{5+1}{2}=3$

The median is the third positioned score: $Q_1=33$

Step 4: Compute $\frac{n+1}{2}$ where n is all scores above $Q_2$ .

For scores above $Q_2$ , use only 39, 44, 45, 48, 55

Because n = 5, the median position is $\frac{5+1}{2}=3$

The median is the third positioned score: $Q_3=45$

7 0

3 years ago

fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
The cube is one of the five Platonic solids and the only regular hexahedron.
It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

18 cubic feet is the volume of the pyramid.
Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
So, the volume of the cube = 3 × 18
The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

6 0

1 year ago