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RoseWind [281]
3 years ago
15

What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0
What do you mean? You just need to prove there are two angles and the side between these two angles are the same in each triangle. One of the possible <span>combinations could be </span>∠BAC=∠FDE, ∠ABC= ∠DEF, and AB=DE.
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A point A is graphed at (0, 3). Complete the coordinates of a shape that can be rotated about the y-axis to create a cylinder
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Below is the answer:

Any rectangle with a side against y-axis can be rotated about y-axis to create a cylinder. 

<span>The other 3 coordinates will be (a, 3), (a, b), (0, b) </span>

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9

Step-by-step explanation:

11cos35

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The firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing.
Rus_ich [418]

Answer:

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

40% of the employees have positive indications of asbestos in their lungs

This means that p = 0.4

a) Find the probability that exactly 10 employees will be tested in order to find 3 positives

2 within the first 9(P(X = 2) when n = 9), and the 10th, with 0.4 probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612

0.4*0.1612 = 0.0645

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

4 0
3 years ago
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