Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
you dont have to say nothing
Step-by-step explanation:
your dum anyways u cant even do nothing right u just on brainly to chet cant do school work and that u are going to fail so sad
The exponential distribution is:

where

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.

where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:

Sub into conditional probability formula:

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
<h3>What are the conversions of the mixed number 2 and 7/9?</h3>
To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:
2 and 7/9 = 2 + 7/9 = 2.7777.
To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

Hence the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
More can be learned about conversions of mixed numbers at brainly.com/question/21610929
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