The answer is X= 25
You just have to divide 125 by 5
Rational. Not whole or integer because its an exact measurement and not irrational because it CAN be expressed as a ratio (fraction, decimal measurement )
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Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
Answer:
15 feet.
Step-by-step explanation:
Tony's speed = 15 ft/min.
Antonio's = 18 feet /min.
So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.
So the answer is 90-75 = 15 feet.
Answer:
![volume=509.25 dm^{3}](https://tex.z-dn.net/?f=volume%3D509.25%20dm%5E%7B3%7D)
Step-by-step explanation:
Curved surface area=
where R is radius and H is height
Since H=6R then curved surface area=![2\pi R(R+6R)=14\pi R^{2}](https://tex.z-dn.net/?f=2%5Cpi%20R%28R%2B6R%29%3D14%5Cpi%20R%5E%7B2%7D)
Therefore,
and making R the subject
![R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m](https://tex.z-dn.net/?f=R%3D%5Csqrt%20%7B%5Cfrac%20%7B396%7D%7B14%5Cpi%7D%7D%3D%5Csqrt%20%7B%289.003622%29%7D%3D%203.000604%20m)
Therefore, H=6R=6*3.000604=18.00362 m
![Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20R%5E%7B2%7DH%3D%5Cpi%2A3.000604%5E%7B2%7D%2A18.00362%3D509.2453%20dm%5E%7B3%7D)
Therefore, ![volume=509.25 dm^{3}](https://tex.z-dn.net/?f=volume%3D509.25%20dm%5E%7B3%7D)