Answer:
y=15(2)ˣ
Step-by-step explanation:
If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
Answer:
Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Step-by-step explanation:
To yield a more accurate estimate of the population mean, margin of error should be minimized.
margin of error (ME) of the mean can be calculated using the formula
ME= where
- z is the corresponding statistic in the given confidence level(z-score or t-score)
- s is the standard deviation of the sample (or of the population if it is known)
for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.
Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.
Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Answer:
Slope = -3
Step-by-step explanation:
The slope is the change in y over the change in x
The slope formula is m=y₂-y₁/x₂-x₁ (y over x)
So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)
So, you would get m=-2-4/1-(-1)
Simplify (first subtract the top, then subtract the bottom)
This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)
-6/2 would get you to -3
<h2>
-3 is the answer </h2>
<span>The answers are either:
x=<span>2+<span><span><span>√15</span><span> or </span></span>x</span></span></span>=<span>2−<span>√<span>15
Hope this helps!</span></span></span>