To model half-life, use the formula

. Here,

is the amount remaining after a length of time

.

is the amount that you start with.

is the half-life. You plug in 50 for

, 10 for

, and 25 for

. You get

.
Answer: 0.0158
Step-by-step explanation:
Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.
According to the given information we have,
Sample size : n= 1000
Sample proportion: 
The standard error for proportion is given by :-




[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
.Answer:
Step-by-step explanation:
Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Answer:
C
Step-by-step explanation:
Assume the surface area = 6x²
6 is the number of faces and x is the length of the cube
so 3/2 = 6x²
Divide by 6
1/4 = x²
Square root both sides
1/2 = x
Volume is : l×w×h
so 1/2 × 1/2 × 1/2 = 1/8