There is a relationship between confidence interval and standard deviation:
Where
is the mean,
is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
When we do all the calculations we find that:
Now we can find confidence intervals:
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
Answer:
C: y+7=2/5(x+4)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:
y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form
y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C
Answer: Hello there!
this type of equations in one dimension (when all the factors are constants) are written as:
h = initial position + initial velocity*t + (acceleration/2)*t^2
First, let's describe the hunter's equation:
We know that Graham moves with a velocity of 1.5 ft/s, and when he is 18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.
If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:
h = 18 + 1.5t
where t in seconds.
Now, the equation for the ball:
We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)
the equation for the ball is:
h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2
So the system is:
h = 18 + 1.5t
h = 5 +24t - 16.1t^2
so the right answer is A
Answer:
<em>Here </em><em>it </em><em>is </em><em>a </em><em>parallelogram </em><em>so </em><em>opposite </em><em>angles </em><em>of </em><em>parallelogram </em><em>are </em><em>equal</em><em>. </em>
Step-by-step explanation:
<em>so</em>
<em>8x </em><em>+</em><em>1</em><em>7</em><em> </em><em>=</em><em> </em><em>12x </em><em>-</em><em> </em><em>3</em><em>9</em>
<em>1</em><em>7</em><em>+</em><em>3</em><em>9</em><em> </em><em>=</em><em> </em><em>12x </em><em> </em><em>-</em><em> </em><em>8</em><em> </em><em>x</em>
<em>4x </em><em> </em><em>=</em><em> </em><em>5</em><em>6</em>
<em>Therefore </em><em>x </em><em>=</em><em> </em><em>1</em><em>4</em>
This does not appear to make sense, could you perhaps add signs such as multiplication, division, etc.