Answer:
∠6=78° ∠7=102° ∠14=78°
Step-by-step explanation:
Angles 6 and 7 are supplementary angles so ∠a+∠b=180°
in this case it would be 102°+x=180° and you subtract 102° from 180° getting 78°
∠7 is the vertical angles postulate stating that any angles vertical to each other are eaqual
Answer:
Easy
Step-by-step explanation:
To find the perimeter, add all the sides together.
12+16+20=48
To find the area, you multiply the sides that make the right angle of the triangle,
12×16=192
And divide it by two. This step is important as if you don't divide it by two, you will end up with the area of a square.
192÷2=96
Finito. Oh and don't forget to add units.
Cm for perimeter and Cm(squared) for area. :)
Step-by-step explanation:
A simple event is one that can only happen in one way - in other words, it has a single outcome. If we consider our previous example of tossing a coin: we get one outcome that is a head or a tail. A compound event is more complex than a simple event, as it involves the probability of more than one outcome.
Answer:
Option B is correct.
Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Step-by-step Explanation:
The clear, complete table For this question is presented in the attached image to this solution.
It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.
In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.
The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.
Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.
Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.
Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Hope this Helps!!!