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Lapatulllka [165]
3 years ago
6

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

x^2 = 100 + 196

x^2 = 296

Take square root

x = \sqrt{296

x = 17.2in

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Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.

<h3>What is Conditional Probability?</h3>
  • <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Patient has Medicare.
  • Event B: Patient has Medicaid.

For the probabilities, we have that:

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Then, applying the <em>conditional </em>probability:

P(B|A) = \frac{P(A \cap B)}{P(A)}

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You can learn more about conditional probability at brainly.com/question/14398287

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