C. Moved to a different location but congruent in size and shape.
Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.
Non-rigid is when an object is moved but the size and shape can change.
Hope this helps :))
Look at the digit one number place to the right of the thousands place, the hundreds. In this case it is another 4. Since it is less than 5, the thousands place will stay the same. If it were 5 or greater, the thousands place would go up by one number. 14,494 rounded to the nearest thousand is 14,000
When you multiply it is just 5*23=115
115*2= 230
Answer:
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
When mutiplying two negatives you will get a positive so answer A