Since Y is the right angle of the triangle LNT, LT is the hypotenuse of that triangle. We are going to use the Pythagorean equation to find the measure of LT:



We can infer from our picture that triangles LNT and YNT are similar. And remember that in similar triangles <span>the corresponding sides are proportional, so we can establish a proportion between sides LT and NT, and between sides LY and TY:
</span>


<span>Solving for NT:
</span>


<span>
Now the perimeter of our rectangle LINT will be 2LT + 2NT.
</span>

<span>
</span><span>
We can conclude that the perimeter of the rectangle LINT is 22.76 units</span><span>
</span>
Answer:
16%
Step-by-step explanation:
The indicated probability is actually the area under the standard normal curve to the left of the mean. I used the function normalcdf( on my TI-83 Plus calculator to find this quantity:
normalcdf(-1000,85,90,5) = 0.1587.
Note #1: This quantity (area / probability) is the area to the left of 85.
Note #2: by the Empirical Rule, 68% of data lies within 1 s. d. of the mean, so the area between the mean (90) and the score (85) is half of 68%, or 34%. Subtracting this from 50% (the area to the left of the mean), we get 16%, which is roughly equivalent to the 0.1587 we got earlier.
Starting with a different number changes the diagram because if you started with any other number, you would get different results.
Answer:
Step-by-step explanation: if you want to obtain the probability that x<em> </em>
-3 , then you need to add the probability for the cases x=-3 and x=-5.
p=0.13+0.17= 0.3
answer=0.3
The value of 1 raised to any exponent would be 1 because no matter how many times you multiply 1 and 1, it will still be one. So 1 to the power of 200 would be one because you are multiplying 1 two-hundred times.
Final Answer: The answer would be one