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murzikaleks [220]
3 years ago
12

A blueprint for a new triangular playground shows that the sides

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Yes, the playgrounds shape is the right angle triangle.

Step-by-step explanation:

The sides of the triangular ground are 480 ft. 140 ft. And 500ft.

We can find if the sides given are the sides of a right triangle by using pythogoras theorem.

Here, the largest side is 500ft.

So,

√[(480x480) +(140x140) ]

= √[(230400) +(19600) ]

= √(250000)

= 500

The pythogoras theorem is proved.

So, the playground is in the shape of triangle.

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After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
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s(av) =  \frac{∆x}{∆t}  \\

s(av) = average \:  \: speed

∆x = covered \:  \: distance

∆t = time \:  \: of \:  \: the \:  \: covered \:  \: distance \\

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s(av) =  \frac{183}{3}  \\

s(av) = 61 \:  \:  \frac{mile}{hour}

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3 years ago
Simplify:- for y.<br><br> 2x + 3 y/4 = 5
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The number of students in sixth grade is 1.03 times the number of students in seventh grade. What percent is equivalent to 1.03?
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Sphinxa [80]

The valid probability distributions are the ones in options C and D.

<h3>Which of the following are valid probability distributions?</h3>

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

  • All of these probabilities are numbers between 0 and 1.
  • p₁ + p₂ + ... + pₙ = 1.

So, for the first rule we can discard the first option, where we have negative probabilities.

To check the other 4 options, just add the probabilities and see if the addition gives 1.

The options that add up to 1 are C and D, so these two are the correct options.

D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1

C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

If you want to learn more about probability:

brainly.com/question/25870256

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