Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str
2 answers:
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Answer:
x = 10
Step-by-step explanation:
By the converse of the side-splitter theorem, if , then KM ∥ JN.
Substitute the expressions into the proportion:
Cross-multiply:
(x – 5)(x+4) = x(x – 3).
Distribute:
Multiply and simplify:
Solve for x: x = 10
Therefore, the value of x that would make KM parallel to JN is 10.
Answer:
Step-by-step explanation:
For the random variable we define the possible values for this variable on this case
. We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:
We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable like this:
For the distribution of we need to take in count that we are finding a conditional distribution.
given
, for this case we see that
, so then exist
ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:
And if we want to find the joint probability we just need to do this:
And if we multiply the probabilities founded we got: