Without calculating, how do you know that the equation |4x - 71 = -1 has no solution?
1 answer:
Answer:
See Explanation
Step-by-step explanation:
Given
Required:
How do you know, it has no solution
The expression on the left-hand side is an absolute function and the result is always positive.
However, the expression on the right-hand side shows a negative sign.
The negative sign is on the contrary to what an absolute value represent.
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<em>Hence, it has no solution.</em>
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Answer:
Part A: The null hypothesis failed to be rejected.
Part B: The null hypothesis failed to be rejected.
Step-by-step explanation:
We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.
Part A: If the significance level is 0.05, the conclusion depends on the P-value.
If the P-value is below 5%, the null hypothesis is rejected.
The P-value for this right-tailed tes and z=1.15 is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.
This changes the way we calculate the P-value, as we need to compute the two tails.
The P-value is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,
Simplify the equation first by adding the same terms,
Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
Learn more about the inequality equation here:
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