Answer:
a) 8
b) 4
Step-by-step explanation:
Suppose N = the total number of balls.
The probability of determining an N ball in the box is
However, the probability of finding all the balls in either of the one boxes is:
If the number of favorable outcomes is 3125 out of 8 x 105 seconds
Then, the probability is:
The balance in the two boxes will be achieved when we have an equal number of balls in the same boxes and half the total no. of balls in the two boxes.
So;
where; N = no of balls
Formula to find the slope with two points: m=y2-y1/x2-x1, from the two points you were given (-2,-3) and (1,1). So m=1-(-3)/1-(-2)=4/3
<u>Answer:</u>
D of Y = (-3/2, -1)
<u>Step-by-step explanation:</u>
We are given three points on the graph:
X (4, 0)
Y (3, 2)
Z (2, 2)
and the scale factor of dilation which is .
Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.
Y = × , (-\frac{1}{2}[/tex] ×
Y =
Answer:
17.76 pounds
Step-by-step explanation:
The first thing we have to do is resort to the normal distribution table (attached image).
To find the smallest annual per capita consumption of ice cream that can be in the top 25% of consumption, we must find when the probability of z is equal to = 1 - 0.25 = 0.75
Find the z value when the probability 75%, i.e .:
z = invNorm (0.75) = approximately 0.675
To find the value, we apply the following formula:
x = z * sd + m
where sd is the standard deviation 3.5 and m the mean that is 15.4, knowing these values, we replace:
x = 0.675 * 3.5 + 15.4
x = 17.76
That is, the smallest annual consumption under these conditions is 17.76 pounds.
Answer:
(x,y) = (2, -3)
Step-by-step explanation:
Multiply both sides
Remove the parenthesis
calculate the products