The probability that at least one of the calculators is defective is : 0.725
<h3>What is probability?</h3>
Probability is the likelihood of an event happening or not.
if there is certainty that the event would happen probability is 1.
Analysis:
probability = required outcome/possible outcome
for 33 good calculators and 12 defective calculators, total calculators = 45
4 calculators were chosen, possible outcome = 45C4 = 148995
Required outcome = 33C3 . 12C1 + 33C2 . 12C2 + 33C1 . 12C3 + 33C0 . 12C4
= 65472 + 34848 + 7260 + 495 = 108075
Probability = 108075/148995 = 0.725
Learn more about Probability: brainly.com/question/25870256
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Answer:
≈
(expand this equation by multiplying both numerator and denominator by 100
Step-by-step explanation:
The answer you’re looking for is x=145.
Every circle adds up to 360 degrees. The only measurement that we know is 70, but the congruent markings tell us that the unknown “sides” are the same. Therefore, you’d take 360-70=290. There are 290 degrees around the unknown part of the circle, which we then divide by 2 to get 145 degrees total. I hope this helped, let me know if I can explain anymore:)
Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
9514 1404 393
Answer:
∠BDC = 46°
Step-by-step explanation:
Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.
∠BDC = (1/2)arc BC = 1/2(92°)
∠BDC = 46°
