<span>No, in this case the two components in question would be different. On one hand, investigating the sample proportion refers to the specific amount that is seen to be distributed on average. However, with sampling distribution, this refers more specifically to how much is distributed on a long-term basis.</span>
If you would like to know the mean of the data set, you can calculate this using the following steps:
The <span>mean </span><span>of the data set is the sum of all the data values divided by the number of these values.
</span><span> </span>
<span>12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
</span>
<span>12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177
</span>the number of data values: 12
177 / 12 = 14.75
The correct result would be B. 14.75.
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.
We know that the explicit formula is
a^n=a^1+ (n-1)d
and so by substituting the given information in
a^n= 72 + (n-1)2
a^1=Initial temp
d= rate of change
by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.
Answer:
b) 22
Step-by-step explanation:
180 = (4x+12) + (3x+14)
180 = 7x + 26
7x = 154
x=22
