How many 2-digit numbers are multiples of either 5 or 7?
2 answers:
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Answer:
There are 32 pupils in the class
Step-by-step explanation:
Let's say there are N pupils in the class. Then each pupil must send N-1 cards - because it would make no sense to send one to themselves! So each of the N pupils send N-1 cards, which becomes 992 cards in total. In equation form, this is
This is a second degree polynomial, which has the solutions
where
If we insert these numbers in the equation,
If we choose the solution with the minus sign, we get
N=-31
but this makes no sense! There can't be a negative number of pupils in the class!
So we choose the solution with the plus sign,
So there are 32 pupils in the class
Answer:
In the picture.
Step-by-step explanation:
The final result , you can find any values of X - axis just substitute y by any number and calculate the value of X .
Answer:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .
Step-by-step explanation:
1) Data given and notation
n=2430 represent the random sample taken
estimated proportion when the home team won the game
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.5 or 50%:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
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 provided . The next step would be calculate the p value for this test.
Since is a right tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .