Answer:

And the z score for 0.4 is

And then the probability desired would be:

Step-by-step explanation:
The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:


For this case we can assume that the population proportion have the following distribution
Where:


And we want to find this probability:

And we can use the z score formula given by:

And the z score for 0.4 is

And then the probability desired would be:

Answer:
I believe you have selected all the correct answers, just give me a few seconds to make sure.
Answer:
About 65.86 degrees
Step-by-step explanation:
A supplementary angle means that the angles add to 180 degrees.
Angle E + Angle F = 180 degrees.
You can then plug in the given equations for E and F.
2x + 5 + 5x - 38 = 180
Combine like terms:
2x + 5x = 7x
5 - 38 = -33
New equation: 7x-33=180
Remove the -33 from the left side of the equation by adding 33 to each side
7x-33+33 = 180+33 ---> 7x = 213
Divide by 7 on each side
7x/7 = 213/7 ---> x = about 30.43
You can then plug this into your equation for E and solve
2(30.43) + 5 = 65.86 Degrees
2/3 can also be written as 2:3 or 4:6 or 4/6…8:12…8/12…