Which polynomials are in standard form
1 answer:
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Answer:
The expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is
Step-by-step explanation:
We are given:
Distance = 100 m
Time = 20 s
We need to find:
Speed
The formula used is:
Putting values and finding the expression
So, the expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is
<em>Note: Kindly recheck your options, As option B is not written correctly.</em>
Answer:
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
P-value = 0.003.
Step-by-step explanation:
If we perform a regression analysis relating x and y, we get the best fitting line with equation:
and a correlation coefficient r:
We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).
This can be written as:
where ρ is the population correlation coefficient for x and y.
The significance level is assumed to be 0.05.
The sample size is n=16.
The degrees of freedom are df=14.
The test statistic can be calculated as:
For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:
The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.