Step-by-step explanation:
A= 90 degree
B= 180
C=118
Student committed a minor act of plagiarism or cheating a second time in his/her work or exam for a class OR
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If the ratio of green to blue food coloring is 1:2 and 6 drops of blue was used, meaning that you basically multiplied 2 by 3 in order to get 6. Then the number of green drops would be 3 (1*3=3). 6+3=9
The total amount of drops of food coloring is then 9.
Hope this helps! (:
Answer:
The expected monetary value of a single roll is $1.17.
Step-by-step explanation:
The sample space of rolling a die is:
S = {1, 2, 3, 4, 5 and 6}
The probability of rolling any of the six numbers is same, i.e.
P (1) = P (2) = P (3) = P (4) = P (5) = P (6) = 
The expected pay for rolling the numbers are as follows:
E (X = 1) = $3
E (X = 2) = $0
E (X = 3) = $0
E (X = 4) = $0
E (X = 5) = $0
E (X = 6) = $4
The expected value of an experiment is:
Compute the expected monetary value of a single roll as follows:
![E(X)=\sum x\cdot P(X=x)\\=[E(X=1)\times \frac{1}{6}]+[E(X=2)\times \frac{1}{6}]+[E(X=3)\times \frac{1}{6}]\\+[E(X=4)\times \frac{1}{6}]+[E(X=5)\times \frac{1}{6}]+[E(X=6)\times \frac{1}{6}]\\=[3\times \frac{1}{6}]+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]\\+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]+[4\times \frac{1}{6}]\\=1.17](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29%5C%5C%3D%5BE%28X%3D1%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D2%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D3%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%2B%5BE%28X%3D4%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D5%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D6%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%3D%5B3%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B4%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%3D1.17)
Thus, the expected monetary value of a single roll is $1.17.
Think about the rule when multiplying powers together.
When multiplying two powers that have the
same base, simply add their exponents.
In this problem, each power has a base
of <em>a</em> and our exponents are <em>m </em>and <em>n</em>.
So adding these exponents together, we have a^m + n.
4x+9=3(x-2)+10
4x+9=3x+4
x+9=4
x=-5
The answer is 1 or A)-5
