Individual : a male in the United States
Variable : income
Population : All males in the United States
Sample : 2500 males of which the information is collected
Parameter : Median income of males in the U.S
Statistic : Median income of the 2500 males sampled
- Any quality, amount, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable.
- A sample is a subset of units chosen to represent all the individuals in a population. Because just a portion of the population was counted, it is only a partial enumeration. To estimate the characteristics of the total population of interest, data from the sampled units is used.
- A statistic is a numerical representation of a sample, whereas a parameter is a numerical representation of the entire population.
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Y-6=7(x-3)
The point-slope intercept form of a line that has a slope of 7 and passes through the point (-6,3) is y - 6 = 7 (x - 3)
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.
Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²
256π / 16π = 16 times
The large sphere has a surface area 16 times that of the smaller one.
Simple...
you have: -7=c-6
You want to isolate the variable c
-7=c-6
-7=c-6
+6 +6
-1=c
Thus, your answer.
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
