This seems an exponential function.
Once you state that the function is exponential you can write is this form:
f(x) = A * b^x.
Then you need the y-intercept (i.e. x = 0) to find A
f(0) = A * b^0 = A
Once you have A, you can use the ordered pair (3,1) to find b
f(1) = A*b^2 = A*b = 3 => b = 3/A.
With that procedure you can find the function that represents the given graph.
Suppse the y-intercep is 0.1
Then f(0) = A = 0.1
And b = 3 / A = 3/0.1 = 30
And the function is f(x) = 0.1* 30^x
The area of a circle is represented by the equation:
We know that the diameter is two times the radius:
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
-->
So then we can plug this radius in to the equation for the area of a circle:
We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:
Now we know that the area of this circle is 452.16 square meters.
Answer:
The probability is 0.3576
Step-by-step explanation:
The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.
For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773
To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649
The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.
As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
the CORRECT answer option number 2
Answer:
4, (31 +48), (31+66)
4, 79, 97
Step-by-step explanation:
4 + (x + 48) + (x + 66) = 180 ( sum of angles in a triangle)
4 + 48 + 66 + x + x = 180
118 + 2x = 180
2x = 180 -118
2x = 62
x = 62/2 = 31