Ok so basically it's asking for two numbers that are basically the same except one has a bigger hundreds place. So I'm just going to use a random number.
987,654
and
987,554
Do u see the difference? the second number has 5 in the hundreds place while the first number has 6 in the hundreds name so the first number is bigger.
The second part = 1
the second part could be written sin²x.(1/sin²x), since cscx =1/sinx
hence 1 = 1
Answer:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the concentrations of mercury in individual fish of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
Answer:
24 m, 32 m, 40 m
Step-by-step explanation:
The side lengths form an arithmetic sequence with common difference 8m. The only Pythagorean triple that is an arithmetic sequence is the one with ratios 3:4:5. So, the triangle side lengths must be ...
3×8m = 24 m . . . . shorter leg
4×8m = 32 m . . . . longer leg
5×8m = 40 m . . . . hypotenuse
_____
If you like, you can let x represent the length of the longer leg and use the Pythagorean theorem to write the relation ...
(x)^2 +(x -8)^2 = (x +8)^2
2x^2 -16x +64 = x^2 +16x +64
x^2 -32x = 0 . . . . . . subtract the right side to get into standard form
x(x -32) = 0 . . . . . . . factor
The only useful solution is x = 32, which makes one factor zero. This is the length of the longer side. The other lengths are 32±8 m.
The lengths of the sides are 24 m, 32 m, 40 m.