Answer: Choice C) no solution
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Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
Answer:
decimal form: 0.0357
fraction form: 375/10000
Step-by-step explanation:
Answer:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007
Step-by-step explanation:
Let X the random variable that represent the women heights of a population, and we know the following parameters
and 
We are interested on this probability
Since the sample size selected is 75>30 we can use the centrel limit theorem and the appropiate formula to use would be the z score given by:
If we find the z score for 65 inches we got:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007
Step-by-step explanation:
A mathematical way of expressing profit is to use a positive number. A negative number is used to express a loss
