1 hundredth is equal to 0.01 therefore 20 hundredths is equal to 0.2. 1
thousandth is equal to 0.001 therefore 2 thousandths is equal to 0.002.
Clearly these are not equivalent.
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The high-jumper's centre of mass is about two-thirds of the way up his body when he is standing or running in towards the take off point. He needs to increase his launch speed to the highest possible by building up his strength and speed, and then use his energy and gymnastic skill to raise his centre of gravity by H, which is the maximum that the formula U2=2gH will allow. Of course there is a bit more to it in practice! When a high jumper runs in to launch himself upwards he will only be able to transfer a small fraction of his best possible horizontal sprinting speed into his upward launch speed. He has only a small space for his approach run and must turn around in order to take off with his back facing the bar. The pole vaulter is able to do much better. He has a long straight run down the runway and, despite carrying a long pole, the world's best vaulters can achieve speeds of close to 10 metres per second at launch. The elastic fibre glass pole enables them to turn the energy of their horizontal motion 12MU2 into vertical motion much more efficiently than the high jumper. Vaulters launch themselves vertically upwards and perform all the impressive gymnastics necessary to curl themselves in an inverted U-shape over the bar,sending their centre of gravity as far below it as possible.
Pole vaulter
Let's see if we can get a rough estimate of how well we might expect them to do. Suppose they manage to transfer all their horizontal running kinetic energy of 12MU2 into vertical potential energy of MgH then they will raise their centre of mass a height of:
H=U22g
If the Olympic champion can reach 9 ms−1 launch speed then since the acceleration due to gravity is g=10 ms−2 we expect him to be able to raise his centre of gravity height of H=4 metres. If he started with his centre of gravity about 1.5 metres above the ground and made it pass 0.5 metres below the bar then he would be expected to clear a bar height of 1.5+4+0.5=6 metres. In fact, the American champion Tim Mack won the Athens Olympic Gold medal with a vault of 5.95 metres (or 19′614" in feet and inches) and had three very close failures at 6 metres, knowing he had already won the Gold Medal, so our very simple estimates turn out to be surprisingly accurate.
John D. Barrow is Professor of Mathematical Sciences and Director of the Millennium Mathematics Project at Cambridge University.
Answer:
false
Step-by-step explanation: ...
Answer:
385 ways
Step-by-step explanation:
Given;
7 red balls
10 white balls
In how many ways can 4 balls be selected if there are more than 2 red balls.
Selecting 4 balls which must contain more than 2 red balls, will be 3 red balls and 1 white ball to make it 4 in total, or all the 4 balls selected will red balls.
= 3 red balls and 1 white ball OR 4 red balls
= 7C₃ x 10C₁ + 7C₄
Therefore, there are 385 ways of selecting 4 balls, if there are more than 2 red balls.
If owners told the truth, then the probability is always the same: 0,45.
0,45*0,80 = 0,36
Supposing trust your kit only, then there was 0,8 probability for correct measurement, meaning there is 0,2 chance for incorrect measurement.
If incorrect measurement means displaying a result opposite then truth, then there is 0,2 probability for oil.
If incorrect measurement means displaying a random result (assuming distribution of correct (by fortune) or incorrect answers is 50-50), then there is 0,2*0,5 probability for oil. That is 0,1 probability for oil.
If somehow the answer you are looking for consists of believing the owners and the kit equally, then there are two options. You get both options by applying 0,45 chance to results from previous two cases.
First solution would be 0,2*0,45, that is 0,09 chance.
Second solution would be 0,1*0,45, that is 0,045 chance.
Since none of these answers matches any of given options, I am really interested in calculations by other people. Please do correct me if I made a mistake in my calculations.
