Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
es and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal? 6 inches inches inches 21 inches
2 answers:
Refer to the attached figure. We know that AB is 16 inches. We also know that AD=BD=10 and AE=BE=17
We're interested in DE, which we can compute as CD+CE
To compute CD, we can observe that ACD is a right triangle, and that AC is 8 inches long (it's half the base) and AD is 10 inches long (given).
So, by Pythagorean's theorem, we have
Similarly, we have
So, we have
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Answer:
Step-by-step explanation:
If we approximate the binomial distribution with a normal distribution, we have to apply a correction factor for the fact that we are now dealing with a continuous variable instead of a discrete one, as it was with the binomial distribution.
The probability of no more than 35 defective CDs: P(X<35)
In this case, as X=35 is not included in the interval, we start the interval from X=35-0.5=34.5.
being Pb the probability under the binomial distribution and Pn the probability under the normal distribution.
The area for the normal distribution is the one below X=34 (or P(X<34)).