Answer:
c = 12.5
Step-by-step explanation:
Pythagorean Theorem:
c = 12.5
The answer is 51. Hope this helps
x − 3y = 12
<span>2x + 6y = 60</span>
<span>x=12+3y</span>
<span>2(12+3y)+6y=60</span>
<span>24+6y+6y=60</span>
<span>24+12y=60</span>
<span>12y=60-24</span>
<span>12y=36</span>
<span>y=36/12</span>
<span>y=3</span>
<span>and since the only answer you have with y being 3 is 21,3 the answer is D.(21,3)</span>
9514 1404 393
Answer:
Z ≈ 1.25027
Step-by-step explanation:
There is really no substitute for a good probability table, app, or calculator. Any of these, or a spreadsheet, will tell you the value of Z is about 1.25027.
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The attachment shows a spreadsheet computation.
Answer:
Range: 36
Variance: 103.69
Standard Deviation: 10.18282868
Step-by-step explanation:
Because we were not told otherwise I think it would be fair to say that everything has an equal probability
Let's start by finding the range
the range is the largest value minus the smallest
40-4=36
Let's then find the variance
the variance is the second moment minus the first moment squared
first moment: .1(10+9+5+7+5+6+4+6+7+40)= 9.9
second moment: .1(10²+9²+5²+7²+5²+6²+4²+6²+7²+40²)= 201.7
201.7-9.9²= 103.69
The standard deviation is simply just the square root of the variance
√(103.69)= 10.18282868
not sure what they meant by the rounding part so I'll leave that to you
