MATHEMATICS HIGH SCHOOL

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

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3
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6

Answers

Answer 1

Answer:

the interquartile range of the data is:

Step-by-step explanation:

We are given a data set as:

0, 2, 4, 0, 2, 3, 2, 8, 6

On arranging the data in the ascending i.e. increasing order is given by:

0 0 2 2 2 3 4 6 8

The minimum value of data set=0

Maximum value of data set is: 8

Range of data set= Maximum value-Minimum value

i.e. Range= 8-0

i.e. Range= 8

Also, Median of set is the central tendency of the data and is given by:

Median= 2

Lower set of data is:

0 0 2 2

Hence, The median of lower set of data is the lower quartile or first quartile.

i.e. $Q_1$

Hence, $Q_1=(0+2)/(2)\n\n\nQ_1=(2)/(2)\n\n\nQ_1=1$

Hence, Lower quartile=1

Similarly upper set of data is:

3 4 6 8

Hence, The median of upper set of data is the upper quartile or third quartile.

i.e. $Q_3$

Hence, $Q_3=(4+6)/(2)\n\n\nQ_3=(10)/(2)\n\n\nQ_3=5$

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

IQR=4

Answer 2

Answer: If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

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Answers

2.21 is the answer :-/

If all four sides of an quadrilateral measure the same length, and one corner angle measures 90 degrees, circle the shape that the quadrilateral can b classified asRhombus
Square
Rectangle
Parallelogram
All the above

Answers

Answer:

All of the above

Step-by-step explanation:

ALL of the above quadrilaterals have all these characteristics.

!50 POINTS! (1 SIMPLE GEOMETRY QUESTION)

QUESTION BELOW
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Answers

Answer:

x= 40.33

Step-by-step explanation:

In geometry, alternate exterior angles are a pair of angles that are on the outer side of two parallel lines but on opposite sides of the transversal. In other words, they are the angles that are not on the same line as the parallel lines.

The alternate exterior angles are always equal in measure. This is because when a transversal intersects two parallel lines, it creates two pairs of alternate exterior angles, and each pair of angles is supplementary to each other (meaning that their measures add up to 180 degrees).

In this case:

a° = b°

Since,, the alternate exterior angles are always equal in measure.

3x+17 = 138

subtracting 17 on both sides

3x + 17-17 = 138-17

3x = 121

dividing both sides by 3.

$(3x)/(3) = (121)/(3)$

$\sf x \approx 40.33$

The value of x is 40.33 which proves that r is parallel to s.

Answer:

c) 40.3

$\hrulefill$

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.

Therefore, if lines r and s are parallel, then a° = b°.

To find the value of x that proves line r is parallel to line s, solve a° = b° for x.

$\begin{aligned}a^(\circ)&=b^(\circ)\n\n3x+17&=138\n\n3x+17-17&=138-17\n\n3x&=121\n\n(3x)/(3)&=(121)/(3)\n\nx&=40.33333....\n\nx&=40.3\; \sf (nearest\;tenth)\end{aligned}$

Therefore, the value x that proves line r is parallel to line s is:

$\Large\boxed{x=40.3}$

What is the slope of the line?

Answers

Answer:

Step-by-step explanation:

72/6=12

48/4=12

Choose one of the factors of x6 + 1000x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

Answers

There are lot of possible factors. One possible factor that is in choices is x2. This is done using elimination process of choices because there are a lot of factors, x2 - 10 is not possible because x^6 is only 1. Then the other 2 is impossible since they still uses 10x2

a rancher decreased the number of his herd from 150 head to 120 head of cattle. What was the percent of decrease in the number of cattle