Find a b if a = 3i + 8j and b = -0.5i -4j.
2 answers:
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We can apply Quadratic equations in real-world like; sports, bridges, projectile motion, shapes of bananas etc.
Following are three pictures of real world application of quadratics.
Example 1:- Here we can see a Cyclist follows a quadratic path to jump over the obstacles.
Example 2:- Here we see a man throwing a basketball towards the net following a slightly upward direction that goes through a quadratic path.
Example 3:- Here a football player kicks the ball in the sky and it goes through a quadratic path to cover some distance.
Answer:
We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.
The correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
So then the best option for this case would be:
H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes
Step-by-step explanation:
We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.
The correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
So then the best option for this case would be:
H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes
And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not