Answer:
Reflection
Step-by-step explanation:
This transformation maps the triangle on the other side of the quadrant.
The size of the triangle did not change
and it was not rotated, because its position did not change
therefore
it underwent
a reflection
Answer:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Step-by-step explanation:
For this case we have the following system of hypothesis:
Null hypothesis :
Alternative hypothesis:
In order to check this hypothesis we can use a z test for a proportion. The statistic is given by:
(1)
And the value for this case is
We are conducting a bilateral test so then the p value can be founded on this way:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Answers: A) $44,944
B) $50,499.0784
Math: Using the percentage calculator linked below 6% of $40,000 is $2,400. Since you're getting your second raise after your first and since it is a 6% raise from what you're getting paid at that time we add pay raise 1 to your starting pay before calculating the 6% for pay raise 2. $40,000+$2,400=$42,400. 6% of $42,400 is $2,544. $42,400+$2,544=$44,944, Since that is two pay raises that would be your earnings at the end of year two (answer A).
We continue calculating 6% then adding that onto the total before calculating it for the next year for problem B.
6% of $44,944 is $2,696.64. $44,944+$2,696.64=$47,640.64.
6% of $47,640.64 is $2,858.4384. $47,640.64+$2,858.4384=$50,499.0784. That's answer B.
Hopefully you can figure out C on your own! I feel a little bad for giving a partial answer but I think you can do this!
Percentage calculator used-https://percentagecalculator.net/
Note: can't handle commas, remove all commas before entering data in.