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KatRina [158]
3 years ago
7

Complementary events must have a sum of 1.

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0

This is a true statement.

Consider two events A and B. We say they are complementary if P(A)+P(B) = 1

This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.

---------

Example:

A = the event it rains

B = the event it does not rain

P(A) = 0.30 = 30% chance of rain

P(B) = 0.70 = 70% chance it does not rain

P(A)+P(B) = 0.30+0.70 = 1

So this shows the two events are complementary.

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igor_vitrenko [27]

Answer:

see below

Step-by-step explanation:

Part A

Angles 1 and 5 are alternate angles (z angles), which means they are equal.

Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.

Part B

Angles on a straight line add up to 180°.

8 0
2 years ago
Genuinely confused rn
frosja888 [35]

Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of \frac{1}{8}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.
  • For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.

Since the shirt and the pants are independent, the probability is given by:

p = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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1 year ago
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You buy a container of cat litter for $11.50 and a bag of cat food for x dollars. The total purchase is $16.80, which includes 5
NARA [144]

Answer:

4.46  

Step-by-step explanation:

(11.5 + x) + 5% = 16.8

11.5 + x = 16.8 - 5%

x = (16.8 - 5% ) - 11.5

x = 15.96 - 11.5

x = 4.46  

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