The correct answer is B) 9
You divide each side of the equation by 'a', and you immediately have
the value of 'x' in terms of 'a and 'b'.
Answer:
The probability is 0.0548 if the weight of the bag of red gravel is 25kg.
Step-by-step explanation:
P(x<25)
=![P\left(z \lt \frac{25-25.8}{0.5}\right)](https://tex.z-dn.net/?f=P%5Cleft%28z%20%5Clt%20%5Cfrac%7B25-25.8%7D%7B0.5%7D%5Cright%29)
=![P\left(z \lt \frac{25-25.8}{0.5}\right)](https://tex.z-dn.net/?f=P%5Cleft%28z%20%5Clt%20%5Cfrac%7B25-25.8%7D%7B0.5%7D%5Cright%29)
=![P\left(z \lt -1.6\right)P(x](https://tex.z-dn.net/?f=P%5Cleft%28z%20%5Clt%20-1.6%5Cright%29P%28x%3C25%29)
=![P(z](https://tex.z-dn.net/?f=P%28z%3C%E2%88%921.6%29)
Using z-table:
P(x<25)
=![0.0548P(x \lt 25)](https://tex.z-dn.net/?f=0.0548P%28x%20%5Clt%2025%29)
=![0.0548P(x](https://tex.z-dn.net/?f=0.0548P%28x%3C25%29)
=0.0548
Hence, the probability is 0.0548.
Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as
![a^3-b^3=(a-b)(a^2+ab+b^2)](https://tex.z-dn.net/?f=a%5E3-b%5E3%3D%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29)
The given expression is
![x^6-27](https://tex.z-dn.net/?f=x%5E6-27)
It can be written as
![x^6-3^3](https://tex.z-dn.net/?f=x%5E6-3%5E3)
Using the property of exponent, the above expression can be written as
![[\because (x^m)^n=x^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%5D)
This is a difference of cubes.
Therefore the correct option is 1.
Answer:
21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>
If there is a 0% chance that something will happen then it is impossible.
22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>
If there is a 50% chance that something will happen, it is equally likely that it will happen.
23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>
If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.
24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>
A low chance of 20% means that something is unlikely to occur.