Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.
Answer:
- n = 5
- m = 12
- m= -14
- y =30
Step-by-step explanation:
1.
![n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5](https://tex.z-dn.net/?f=n%20-8%20%3D-3%5C%5C%5C%5CCollect%5C%3Alike%5C%3Aterms%5C%5Cn%20%3D%20-3%2B8%5C%5C%5C%5CSimplify%20%3B%20-3%2B8%20%3D%205%5C%5C%5C%5Cn%20%3D5)
2.
![-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12](https://tex.z-dn.net/?f=-2m%3D-24%5C%5C%5C%5CDivide%5C%3A%20both%20%5C%3Asides%5C%3Aof%5C%3Athe%5C%3Aequation%5C%3Aby%5C%3A-2%5C%5C%5C%5C%5Cfrac%7B-2m%7D%7B-2%7D%20%3D%20%5Cfrac%7B-24%7D%7B-2%7D%20%5C%5C%5C%5CSimplify%20%3B%20-2m%2F-2%20%3D%20m%20%2C%20-24%2F-2%20%3D%2012%5C%5C%5C%5Cm%20%3D12)
3.
![\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7B2%7D%3D-7%5C%5C%5C%5CCross%5C%3AMultiply%5C%5C%5C%5Cm%5Ctimes%201%20%3D%202%5Ctimes%20-7%5C%5C%5C%5Cm%20%3D%20-14)
4.
![\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dy%3D20%5C%5C%20%5C%5C%5Cfrac%7B2%7D%7B3%7D%20y%20%3D%20%5Cfrac%7B20%7D%7B1%7D%20%5C%5C%5C%5CCross%5C%3AMultiply%5C%5C%5C%5C2y%5Ctimes%201%20%3D%203%5Ctimes%2020%5C%5C%5C%5C2y%20%3D%2020%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D2%5C%5C%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B60%7D%7B2%7D%5C%5C%5C%5CSimplify%5C%5Cy%20%3D%2030)
Answer:
yes
Step-by-step explanation:
A square is a special case of rectangle in which adjacent sides are the same length. A rectangle is a special case of parallelogram in which adjacent angles are congruent.
So, a square is both a rectangle and a parallelogram. Ann, Pablo, and Felix can all be correct.
Hello here is a solution :
<span>The polynomial is : (x+5)(x-2)(x-6)</span>