The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.

6 0

3 years ago

Linda throws a dart that hits the square shown below: A square is drawn. A circle of radius 9 units touches the sides of the squ

nataly862011 [7]

Probability helps us to know the chances of an event occurring. The probability of Linda's dart hitting the circle is 0.7857.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As it is given that the circle touches the sides of the square. therefore, the length of the side of the square is the diameter of the circle.

Now, in order to calculate the probability that the dart hits a point in the circle we need to calculate the area of the circle and the area of the square.

Area of the circle with a given radius of 9 units,

$\text{Area of the circle} = \pi r^2$

$\rm = \pi \times (9^2)\\\\= 81\pi\ units^2$

Area of the square with sides equal to the diameter of the circle,

$\rm \text{Area of square} = side^2$

$\rm = Diameter ^2\\\\= (2 \times radius)^2\\\\= (2 \times 9)^2\\\\= 18^2\\\\= 324\ units^2$

Now, the probability that the dart hits a point in the circle can be written as,

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Area of the circle}}{\text{Area of square}}\\\\\\Probability=\dfrac{81 \pi}{324} = 0.7857$

Hence, the probability of Linda's dart hitting the circle is 0.7857.

Learn more about Probability:

brainly.com/question/795909

3 0

2 years ago

A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?

Alenkinab [10]

C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped

4 0

4 years ago