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andrezito [222]
3 years ago
5

Consider two events such that P(A) = start fraction one over four end fraction, P(B) = start fraction two over five end fraction

, and P(A ∩ B) = start fraction one over 10 end fraction full stop. Are events A and B independent events?
Mathematics
2 answers:
k0ka [10]3 years ago
4 0

Answer:

Yes they are independent events

Step-by-step explanation:

In order to solve this, you need to first know the definition of probability of independent event.

two events are independent if the incidence of one event does not affect the probability of the other event. When that occurs, the expression or formula to calculate is the following:

P(A∩B) = P(A) * P(B)

So, in order to see if A and B are independent, let's see how the calculations do with the data provided

P(A∩B) = P(A) * P(B) = 1/4 * 2/5 = 2/20 = 1/10

Therefore, A and B are independent events

Ainat [17]3 years ago
3 0

Answer:

yes they are independent

Step-by-step explanation:

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3 years ago
Scientific Notation:<br> what’s (2.2 x 10 to the -4) - (3 x 10 to the 2)
Marrrta [24]

Answer:

2.23\times10^4

Step-by-step explanation:

In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.

(2.2\times10^{-4})-(3\times10^2)

Turn the notations into standard form:

2.2\times10^{-4} = .00022

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=22300

Turn into notation form:

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Hope this helps.

8 0
3 years ago
Fatima has a car detailing service. She charges $15.00 for a vacuum, $40.00 for exterior wash and wax, and $60.00 for complete i
bezimeni [28]

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6 0
4 years ago
Mark the statements that are true.
lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

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7 0
3 years ago
What is 3/8 in decimal form
forsale [732]
Simple; you want to divide 3 and 8.

3 / 8 = 0.375

And there's your answer! Remember that a fraction is just a fancy division problem! :)
4 0
4 years ago
Read 2 more answers
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