Answer: 0.009
Step-by-step explanation:
Formula we use here : Binomial distribution formula
Probability of getting success sin x trial = , where n is the sample size and p is the probability of success in each trial .
Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
i.e. p= 0.65
Sample size : n= 11
Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-
Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009
The <em><u>correct answer</u></em> is:
$72.31 – $24.61 – $16.49; $31.21
Explanation:
We know we end the month with $72.31.
We made two deposits during the month and no other activity. This means if we take the amounts of the deposits away from the total at the end of the month, we can find how much we had at the beginning of the month:
72.31-24.61-16.49 = 31.21
Answer:
It should be 10 raised to power 2 which is a hundred.
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)