Answer:
the time taken for the element to remain 1 gram is 38,400,000 unit.
Step-by-step explanation:
Given;
initial mass, m = 5 g
half life, t = 16,000,000 unit
The time taken for the element to remain 1 gram is calculated as;
mass remaining time
5 g 0
2.5 g 16,000,000
1.25 g 32,000,000
0.625 g 48,000,000
Interpolate to obtain the time at 1 gram;
1.25 g ---------------------------------- 32,000,000
1 g --------------------------------------------- x
0.625 g --------------------------------------- 48,000,000
Therefore, the time taken for the element to remain 1 gram is 38,400,000 unit.
Here are some notes i have from some sources i hope these notes will be able to help you achieve the grade you wanted to good luck!
-The bound on error of estimation, B , associated with a confidence interval is (z critical value) ·(standard error of the statistic) . ... Sample Size The sample size required to estimate a population proportion to within an amount B with 95% confidence is The value of may be estimated by prior information.
-P-value and margin of error are not same.
-A margin of error tells you how many percentage points your results will differ from the real population value. For example, a 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 95% of the time.
-The margin of error determines how reliable the survey is or how reliable the results of the experiment are. ... This is captured in statistics as margin of error. The higher the margin of error, the less likely it is that the results of the survey are true for the whole population.
-Population distribution means the pattern of where people live. World population distribution is uneven. Places which are sparsely populated contain few people. Places which are densely populated contain many people.
These notes are from sources found online not mine If you want the sites just comment and ill give you them!
A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.
The given function is:
The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)
This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million
Answer:
5/6
Step-by-step explanation:
2 1/2 -> 5/2
5/2 divided by 3, which is 0.83333333333
0.83333333333 as a simplied fraction is 5/6
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1
