<span>To find the z-scores, find the difference in the number of inches for each value from the mean and then divide that by the standard deviation. For women at 72 inches (6'), this would be (72-64) / 2.7, or a z-score of +2.963. For a male at 72 inches, this would be (72-69.3)/2.8, or +0.964. This shows that the woman at 6 feet tall is more rare in the distribution than a man at 6 feet tall.</span>
1.theoretical is not counting the results of the experimentssince there are an equal number of red and black and red, the probblity (theoretical) of picking a black one is 1/3
experimental=number of outcomes happened/total number of tests4 times black, 4 tests, so 4/4 or 100%=experimental proablity
2. experimental considered previous trials and theoretical did not
3. theoretical=(1/4) the trials don't influence each other so1/(4*4)=1/16
The answer is standard form. When the equation is set up as Ax + By = C where A and B are coefficients.
Prime factorization: 77=7*11
Hello! And thank you for your question!
First we are going to expand the equation:
<span>−2<span>m^<span><span>2</span><span></span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>^2</span><span></span></span></span>−5n
Then we are going to combine like terms:
</span><span><span>−2<span>m<span><span>^2</span><span></span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>^2</span><span></span></span></span></span>
</span>
Then finally, simplify:
−2<span>m<span><span>^2</span><span></span></span></span>−mn−2m+5n+4<span>n<span>^<span>2
Final Answer:
</span></span></span>
−2m^2−mn−2m+5n+4n^2
