Answer: 1.8 s
Step-by-step explanation:
Given
The height of the spring mass system above the table is given by
The mass is performing S.H.M with frequency 
and 
time when mass returns to its original position
You can solve this by putting the number of copies in the top part of the fraction. If you replace the one in the top part of 1/6 with 3, you get the fraction 3/6. Half of six is three and half of two is one, so both fractions are equal. You can test this be dividing the 3 in the top by 3 and the 6 in the bottom by three. Your result will be 1/2. Although there are three times ad many copies, each copy is three times as small, so it balances out.
Answer:
If we compare the p value and using the significance level given 
we have 
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.
Step-by-step explanation:
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level is not provided but we can assume it as . First we need to calculate the degrees of freedom like this:
The next step would be calculate the p value for this test. Since is a bilateral test or two tailed test, the p value would be:
If we compare the p value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.
Answer:
Step-by-step explanation:
Explanation
6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6
5 runners remain. The second medal goes to any one of the 5
4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.
Answer 6 * 5 * 4 = 120
There are 120 ways of awarding 3 medals to 6 people.
