Given square ABCD, what is the length of AD?
1 answer:
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Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.
The complete question is:
The graph below shows the solution to which system of inequalities?
A.) y>x , y ≥ (8/10)x
B.) y>-x, y ≤ (8/10)x
C.) y>-x, y < (8/10)x
D.) y>x, y > (8/10)x
<h3>What are inequalities?</h3>Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.
The inequality for the first graph can be written as,
The inequality for the second graph will be,
y>-x
Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.
Learn more about Inequality:
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Answer:
Test statistic z=0.65
P-value=0.52
Fail to reject the null hypothesis.
Step-by-step explanation:
Here we have to perform a hypothesis test on the difference of proportions. We may want to answer if there is significant difference in the proportions of male and females.
The null and alternative hypothesis are:
The significance level is defined as 0.05.
The YES proportion for females is:
The YES proportion for males is:
The weighted average of p can be calculated as:
With this p, we estimate the standard deviation
The test statistic z can be calculated as:
We can calculate the p-value for z, taking into account is a two-sided test
The P-value (0.52) is greater than the significance level (0.05), so the effect is not significant. It failed to reject the null hypothesis.
We have enough evidence to conclude that the proportions that vote YES are different between genres.