Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
The values cannot be labeled as dependent or independent without a givin equation
The solution would be like
this for this specific problem:
<span>7 x 30 = 210 </span>
<span>210 + 55(2) = 320
</span>
<span>
</span>
<span>
</span><span>T</span><span>he surface area of the prism is 320 mm2.</span>
The correct answer between all
the choices given is the second choice or letter B. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
This is pretty straight forward.
First the area of a rectangle is given by the product of the length and the width and in this case the area is known.
Second the length is an unknown and since we are doing algebra lets call it x
Finally the width is 4 less than the width which is (x-4) units....x will be in meters and the width is 4 meters less then the length.
Putting it together we have x(x-4) = 117 m^2
then
x^2 - 4x = 117
one could use the solution for the quadratic or one could plug in a few numbers as test for the length
10 by 10 is 100 square meters
10 by 14 is 140 square meters
13 by 9 is 117 square meters....x is 13 and x-4 is 9
I used approximation once I had determined the relationship between the area of the rectangle and the perimeter of the rectangle
Given the quadratic equation:
Using the general solution for quadratic equations:
From the problem, we identify:
Then:
And the solution set is:
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