Answer:
The events "Spike passes chemistry" and "Spike passes mathematics" are not independent.
The probability that he fails both subjects = 0.37
Step-by-step explanation:
The probability of Spike passing Chemistry = P(Chemistry) = 0.35
The probability of Spike passing Mathematics = P(Mathematics) = 0.40
The probability of Spike passing both Chemistry and Mathematics = P(Chemistry,Mathematics) = 0.12
For the events "Spike passes chemistry" and "Spike passes mathematics" to be independent, P(Chemistry,Mathematics) should be equal to P(Chemistry) * P(Mathematics)
But P(Chemistry) * P(Mathematics)=0.35*0.40 =0.14
So the two events are not independent.
The Probability that he passes Chemistry or Mathematics is given by P(Chemistry) + P(Mathematics) - P(Chemistry,Mathematics)
= 0.35+0.40-0.12=0.63
So the probability that he fails both subjects is the complement of this, namely (1 - 0.63) = 0.37
To answer this item, we let x be the number of sessions at which the two rates would be equal.
For gym A, the total would become,
50 + 4x
while that of B is
30 + 6x
Equating these two expressions,
50 + 4x = 30 + 6x
The value of x from the equation is 10.
This is a combination of the formula of several figures.
The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.
The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14
After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2
The correct answer is 178.98 in^2.
Youre welcome.
EXTRA:
If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.
Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2
Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h
<span>If Ms. Lund lives in an area where the cost of living is low, $42,000 a year over a twenty-five year period could allow her to live frugally, save, invest, and now in her forties be able to cash in some of her investments to buy the house and car of her dreams. At the same time, it would be the course of prudence to bring in an outside auditor.</span>
