Answer:
Option C is the correct one
Step-by-step explanation:
The events are independent because you are selecting the students randomly and how much they like rap music does not depend on the results on the other students. However, in each event of the binomial distribution there are two possible outcomes: success and fail. In this experiment there are 10 possible results for each event, therefore the distribution inst binomial. The correct answer therefore is C.
Answer: see explanation
Step-by-step explanation:
so you have a plane at constant altitudeof 6km (6000m) flying at 800 km/h (222.222 m/s) (see the image)
the plane is moving with constant speed therefore x(t) = 222.222*t => no forces are interacting horizontally with the plane therefore acceleration is 0, then v is constant and x(t) is a linear function which coefficient is v.
now we have a triangle with an angle theta, one side is x(t), and the other is 6000m. we can get theta by tan(theta) = 6000/(222.222*t). 24 minutes are 1440 seconds so if we replace such value, we get the theta angle by solving for theta => theta = arctan(6000/(222.222*1440)) = 0.019 radians or 1.074 degrees. Now if you want to know the exchange rate of theta we have to differentiate the expression with respect to t:

then replace t with 1440 and you will get that theta is changing by -0.000013 (1.3E-5) radians or -7.458E-4 degrees every second which has a lot of sense since the plane is getting out of your line of sight due to the earth's curvature
Answer: B. There are no integers that are whole numbers.
<u>Step-by-step explanation:</u>
A. Whole numbers are never irrational. TRUE
B. There are no integers that are whole numbers. FALSE!
There ARE integers that are whole numbers because Integers are positive and negative whole numbers.
C. There is only one whole number that is not a natural number. TRUE
Whole Numbers: 0, 1, 2, 3, ...
Natural Numbers: 1, 2, 3, ...
D. Natural numbers cannot be negative. TRUE
-2, 1, 4, 5
hope that helps!