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>
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer: true
Step-by-step explanation:
Answer:
39 men, 13 women
Step-by-step explanation:
you're saying you just need the answer so i hope this works. good luck :)
