Astronomers believe distant planet could be ‘more hospitable’ than earth. true or false

Which of the following values can NOT be measured using SI units?

Lelu [443]

D. All can be measured with standard SI units.

Length can be measured in meters, temperature in degrees centigrade, and density in grams.

3 0

3 years ago

Select ALL the correct answers.

tekilochka [14]

Answer:

(b) The interquartile range of B is greater than the interquartile range of A.

(d) The median of A is the same as the median of B.

Explanation:

Given

$A = \{1, 4, 2, 2, 3, 1, 1, 2, 1\}$

$10th\ run = 9$

So:

$B = \{1, 4, 2, 2, 3, 1, 1, 2, 1,9\}$

Required

Select all true statements

(a) & (d) Median Comparisons

$A = \{1, 4, 2, 2, 3, 1, 1, 2, 1\}$ $B = \{1, 4, 2, 2, 3, 1, 1, 2, 1,9\}$

$n = 9$ $n = 10$

Arrange the data:

$A = \{1, 1, 1, 1, 2, 2, 2,3, 4\}$ $B = \{1,1,1,1,2,2,2,3,4,9\}$

$Median = \frac{n + 1}{2}th$

$Median = \frac{9 + 1}{2}th$ $Median = \frac{10 + 1}{2}th$

$Median = \frac{10}{2}th$ $Median = \frac{11}{2}th$

$Median = 5th$ $Median = 5.5}th$ --- average of 5th and 6th

$Median = 2$ $Median = \frac{2+2}{2} = 2$

Option (d) is correct because both have a median of: 2

(b) & (c) Interquartile Range Comparisons

$A = \{1, 1, 1, 1, 2, 2, 2,3, 4\}$ $B = \{1,1,1,1,2,2,2,3,4,9\}$

$n = 9$ $n = 10$

First, calculate the lower quartile (Q1)

$Q_1 = \frac{n + 1}{4}th$ [Odd n] $Q_1 = \frac{n}{4}th$ [Even n]

$Q_1 = \frac{9 + 1}{4}th$ $Q_1 = \frac{10}{4}th$

$Q_1 = \frac{10}{4}th$ $Q_1 = 2.5$

$Q_1 = 2.5th$

This means that:

$Q_1 = 2nd + 0.5(3rd - 2nd)$ $Q_1 = 2nd + 0.5(3rd - 2nd)$

$Q_1 = 1 + 0.5(1- 1)$ $Q_1 = 1+ 0.5(1 - 1)$

$Q_1 = 1$ $Q_1 = 1$

Next, calculate the upper quartile (Q3)

$Q_3 = \frac{3}{4}(n + 1)th$ [Odd n] $Q_3 = \frac{3}{4}(n)th$ [Even n]

$Q_3 = \frac{3}{4}(9 + 1)th$ $Q_3 = \frac{30}{4}th$

$Q_3 = \frac{30}{4}th$ $Q_3 = 7.5th$

$Q_3 = 7.5th$

This means that:

$Q_3 = 7th + 0.5(8th- 7th)$ $Q_3 = 7th + 0.5(8th- 7th)$

$Q_3 = 2 + 0.5(3- 2)$ $Q_3 = 2+ 0.5(4 - 2)$

$Q_3 = 2.5$ $Q_3 = 3$

The interquartile range is $IQR = Q_3 - Q_1$

So, we have:

$IQR = 2.5 - 1$ $IQR = 3 - 1$

$IQR = 1.5$ $IQR =2$

(b) is true because B has a greater IQR than A

(e) This is false because some spread measures (which include quartiles and the interquartile range) changed when the 10th data is included.

The upper quartile and the interquartile range of A and B are not equal

8 0

3 years ago

A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is th

worty [1.4K]

The answer is 30 miles/hour

5 0

4 years ago

1. What is the principal way energy e<br>Earth's atmosphere?<br>

Damm [24]

Solar radiation is the fundamental energy driving our climate system, and nearly all climatic and biologic processes on Earth are dependent on solar input. Energy from the sun is essential for many processes on Earth including warming of the surface, evaporation, photosynthesis and atmospheric circulation.

3 0

4 years ago

Match the phase of mitosis with the event listed: 1. The genetic material is duplicated interphase 2. Chromosomes move to opposi

damaskus [11]

ANSWER: the genetic material is duplicated interphase.

The process by which a cell which has previously replicated chromosomes in the nucleus of the cell is separated into two identical sets of chromosomes is known as mitosis. Mitosis is the division of the mother cell into two daughter cells, these daughter cells are genetically identical to each other and to the parent cell. It is a form of nuclear division. Mitosis is generally followed by cytokinesis, this process divides the nuclei, cytoplasm, cellular organelles and cell membrane into two cells of roughly equal shares of these cellular constituents. The M phase of the cell cycle is of mitosis and cytokinesis together. Cell division is a process with sequence of steps that enables organisms to grow and reproduce. Genetic material is replicated in parent cells and is distributed equally to the two daughter cells. Cells undergo a period of growth called interpahse before entering mitosis. During the interphase, the genetic material replicates and the organelles prepare for division. In the process of mitosis, the parent's cell genome is transferred into the two daughter cells. The daughter cells are similar to each other and to their parent cell.

The cell's genome is composed of chromosomes that are complexes of tightly coiled DNA that contain the genetic material which is vital for the proper functioning of the cell.

The process of mitosis begins when the chromosomes condense. In most eukaryotic cells, the nuclear membrane segregates the DNA from the cytoplasm into membrane vesicles. The ribosomes also dissolve, the chromosomes align themselves. Microtubules pull apart the sister chromatids of each chromosome. The daughter chromosomes are pulled towards opposite ends. Nuclear membrane forms around the separate daughter chromosomes. In animal cells, the area of cell membrane pinches inwards, to form the two daughter cells, the imaginary line is called the cleavage furrow which separates the developing nuclei. In plant cells, the new dividing cell wall is constructed in between the daughter cells. The parent cell will thus split in half and give rise to two daughter cells.

7 0

4 years ago