Answer:
There is a 1.1% chance that a randomly chosen junior will have a score above 95.
Step-by-step explanation:
Calculate the z-score of 95 given a normal distribution with mean 79 and standard deviation of 7. The z-score is a probability (area under the distribution curve) of a value on a normalized random variable that has a distribution with mean 0 and standard deviation of 1. To get such a transformation, you need to subtract the mean and divide by the standard deviation, like this:
Based on this z-value, use z-score tables to look up the area under the curve. This will be the probability that randomly chosen values are lower (or higher, depending which table you are using) than this z-score. Be careful to apply the correct table. I found the following probability that a random z value is higher that the z-score 2.29: 0.011, or 1.1%. This means that there is a 1.1% chance that a randomly chosen junior will have a score above 95.
Since x and y must be positive, 7x and 11y are positive either. That means 7x + 11y > 0. Then we would obtain N > 0 because 7x + 11y = N. That also means N must be positive. So if we set N to be zero or negative, there would be no solution. Thus, to produce an answer of No solution, the highest number N could be is 0.
Answer: x= -1
Step-by-step explanation:
First you take 4 and times it to x and -1, so 4 times x will just be 4x while 4 times -1 will be -4. Then it will look like this (4x - 4), you will have to make the x by itself and to do that is dividing it by 4 on both sides, so 4x/4= x while -4/4= -1. The answer is x= -1
Answer:
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
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Answer:
x > 10/3
x will always be greater that 10/3 never the same nor less.
Step-by-step explanation:
3/5x + 1/3 < 4/5x - 1/3
3/5x - 4/5x + 1/3 < -1/3
-1/5x + 1/3 < -1/3
-1/5x < -1/3 - 1/3
-1/5x < -2/3
-1/5x/-1 < -2/3/-1 (Since it is both divided by a negative the sign switches, the sign also switches with multiplication. *Note: it only switches if it is negative!*)
1/5x > 2/3
5 • 1/5x > 2/3 • 5
x > 2/3 • 5/1
x > 10/3
