Given that 7x - 3y = 23
1 answer:
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6x/6=x>/= (=) 11/6
x=11/6 or about 1.8
the first important notation to remember when graphing inequalities is that the graph is going to face the way the inequality sign is pointing.
in this case, the sign is pointing right. now the second thing to remember is that an inequality sign with a line underneath it means that it is greater/equal to so the graph in which we fill will have be a closed circle
1) start the ray at ~1.8 and fill in the circle at the end of the ray then extend to its endpoint
that's all. you're graph now reads x is greater or equal to 11/6
<h2>Answer with explanation:</h2>
Let be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-
Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean :
Standard deviation :
Test statistic for population mean :-
The p-value=
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.