Answer:
We conclude that is the binomial distribution.
Step-by-step explanation:
We know that the binomial distribution describes the probability of k successes in n draws with replacement.
We know that: Spinning an American roulette wheel 45 times and recording the number of times the ball lands on green.
So with each new turn, we have the same opportunity for the ball to be on the green.
We conclude that is the binomial distribution.
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:

Where r = radius
Thus the area of the circular region

The area of the square is given by the formula:

Thus the area of the given square

The probability of an event is given by the formula:

The probability that the dart land will be in the shaded region

Thus probability

Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
The bucket leaks 1/4 ounce per hour. Because the numerator is 3 and it took 3 hours, you can give 1/4 to every hour (3/4 divided by 3).
Answer:
x < -3
Step-by-step explanation:
................
Answer:
the answer is<u> no solutions </u>
Step-by-step explanation:
the solution is found at the point in which the two lines intersect.
in this case they do not intersect because the lines are parallel. if you rearrange 2x – y = 7 you will get y = 2x - 7. the slope is 2x
the slope of the second equation is 2x as well. when slopes are the same they are parallel and therefore never cross.