Answer:
It is not possible for Janet to have won 10 games.
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
So, let's check if it is possible for Janet to have won 10 games. Substitute into the expression:
Therefore, it is not possible for Janet to have won 10 games.
Answer:
B) 2
Step-by-step explanation:
There are 2 points of intersection
Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle
and measure of angle b is 150 degrees.



Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence = 
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185