Today’s Problem: Mystery Set

A set of five numbers have the following properties:

The mode of the set is 0 and 4.
The median of the set is 4.
The mean of the set is 4.

What are the five numbers in the set?

T Rex’s Dino Ancestors Unearthed

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A model of a life-size Tyrannousaurus Rex
Dinosaur fossils found in China have got scientists pretty excited as they say they’ll help them learn loads more about the ferocious Tyrannosaurus Rex.
Found near the city of Jiayuguan, the remains are from a type of tyrannosaur being called Xiongguanlong baimoensis.
The name may be a bit of a mouthful, but it’s thought the fossils could provide the missing link between the huge T Rex and its smaller ancestors.
They date from part of the Cretaceous period – about 100 million years ago.

Today’s Problem: Seychelles Flag

Seychelles Flag

Seychelles Flag

Find the area of each section of the Seychelles flag.

The flag is x inches tall by 2x inches wide. The top edge is divided into 3 equal lengths. The right edge is divided into 3 equal lengths.

Image pinpoints all 5 million atoms in viral coat

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Researchers decipher protective shield used by hundreds of viruses

Rice News staff

If a picture is worth a thousand words, then Rice University’s precise new image of a virus’ protective coat is seriously undervalued. More than three years in the making, the image contains some 5 million atoms — each in precisely the right place — and it could help scientists find better ways to both fight viral infections and design new gene therapies.

The stunning image, which appears online this week in the Proceedings of the National Academy of Sciences, reveals the structure of a type of protein coat shared by hundreds of known viruses containing double-stranded RNA genomes. The image was painstakingly created from hundreds of high-energy X-ray diffraction images and paints the clearest picture yet of the viruses’ genome-encasing shell called a “capsid.”

“When these viruses invade cells, the capsids get taken inside and never completely break apart,” said lead researcher Jane Tao.

Scientists Discover A Nearly Earth-Sized Plant

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By JENNIFER QUINN, Associated Press Writer
HATFIELD, England – In the search for Earth-like planets, astronomers zeroed in Tuesday on two places that look awfully familiar to home. One is close to the right size. The other is in the right place. European researchers said they not only found the smallest exoplanet ever, called Gliese 581 e, but realized that a neighboring planet discovered earlier, Gliese 581 d, was in the prime habitable zone for potential life.

Today’s Problem: Cylinder Volume

Take a piece of letter-sized paper and tape the short ends to make a tube. Label this tube A.

Take another piece of letter-sized paper and tape the long ends to make another tube. Label this tube B.

Place each tube on a flat surface, so that they stand up on end.

Using the formula for the volume of a cylinder, find out which tube will hold more stuff (like popcorn or candy)?

Letter-sized paper is 8.5 inches wide by 11 inches tall.
To find the radius of each tube, use the circumference formula, C = 2πr

NASA Program Shows Math & Science Can Be Fun

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NASA Program Shows Math & Science Can Be Fun
Job opportunities in the science and math-related fields are expected to grow five times faster than other sectors over the next decade.
But the number of students pursuing those types of careers continues to decline.
In response, NASA and Honeywell have developed an inter-active program to get students excited about careers in those fields.