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Mars2501 [29]
3 years ago
6

Consider the level surface given by

Mathematics
1 answer:
NeTakaya3 years ago
8 0
x^2-y^2+z^2=2

If y=2, then you get x^2-2^2+z^2=2\iff x^2+z^2=6 which is a circle in the x-z plane with radius \sqrt6.

If x=1, then you get 1^2-y^2+z^2=2\iff z^2-y^2=1 which is a hyperbola in the y-z plane.

If y=0, you get another circle in the x-z plane defined by x^2+z^2=2, this time with radius \sqrt2.

If x=2, then 2^2-y^2+z^2=2\iffy^2-z^2=2, another hyperbola in the y-z plane with branches perpendicular to the case where x=1.
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Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil
Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

P(X\leq x)=1-e^{\frac{-x}{\lambda}}, where \lambda is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire :  \lambda=\text{42,000 miles }

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0
3 years ago
What's 1.8499 x 10^9 in standard notation
maxonik [38]
 you just have to move the decimal point 9 places to the right thats an easy trick to remember 1849900000


5 0
3 years ago
Help me find which is the mistake <br><br> [will give brainliest and thanks}
klasskru [66]
I hope this helps you

7 0
3 years ago
Solve the proportion 40/z+1 = 15/6
vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

\frac{40}{z + 1}  =  \frac{15}{6}  \\

<u>Cross multiply </u>

That's

15(z + 1) = 40(6) \\ 15z + 15 = 240

<u>Send 15 to the right side of the equation</u>

15z = 240 - 15 \\ 15z = 225

Divide both sides by 15

\frac{15z}{15}  =  \frac{225}{15}  \\

We have the final answer as

<h3>z = 15</h3>

Hope this helps you

7 0
2 years ago
PLEASE HELP ME THANK YOU IF U DO
Andrews [41]

Answer:

B (r= 1/6s)

Step-by-step explanation:

If you just work out each option, you'll see that "s" multiplied by 1/6 gets r.

5 0
2 years ago
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