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Ksju [112]
3 years ago
13

Dalia owns a gravel pit. She took a random sample of rocks and counted 585858 sedimentary rocks, 213213213 metamorphic rocks, an

d 522522522 igneous rocks. Use the observed frequencies to create a probability model for Dalia randomly selecting one rock from her gravel pit. Input your answers as fractions or as decimals rounded to the nearest hundredth. Type of rock Estimated probability Sedimentary Metamorphic Igneous
Mathematics
1 answer:
goblinko [34]3 years ago
3 0

step One

Find the total number of rocks in the gravel pit

<em>58 + 213 + 522 = 793</em>

Step Two 

<em>Set up the probabilities.</em>

<em>P(Sedimentary) = 58 / 793 = 0.0731</em>

<em>P(metamorphic) = 213/ 793 =0.2686</em>

<em>P(igneous) =        522 / 793 = 0.6583</em>

Check

<em>When these are added together the answer should be one.</em>

<em>0.0731 + 0.2686 + 0.6583 = 1 just as it should.</em>

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Among the four choices, (x + 5) is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let a denote some constant. A linear factor of the form (x - a) is a factor of a polynomial f(x) if and only if f(a) = 0 (that is: replacing all x in the polynomial f(x) \! with the constant a\! would give this polynomial a value of 0.)

For example, in the second linear factor (x - 2), the value of the constant is a = 2. Verify that the value of f(2) is indeed 0. (In other words, replacing all x in the polynomial f(x) \! with the constant 2 should give this polynomial a value of 0\!.)

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