Answer:
The best recommendation is to: Increase the sample size.
Step-by-step explanation:
The width of a confidence interval 
,depends on three things,
- Sample size (n)
- Standard deviation
- Confidence level
To decrease the width the following options can be used:
- Increase the sample size.
Since the sample is inversely proportional to the width of the confidence interval, increasing the value of <em>n</em> will decrease the width.
- Decrease the standard deviation.
The standard deviation is directly proportional to the width of the confidence interval. On decreasing the standard deviation value the width of the interval will also decrease.
- Decrease the confidence level.
The critical value of the distribution is based on the confidence level. Higher the confidence level, higher will be critical value.
So, on deceasing the confidence level the critical value will decrease, hence decreasing the width of the interval.
Thus, the best recommendation is to: Increase the sample size.
Susan investment = $6000
John investement = $4000
Pria investment = $12000
investment proportion of Susan, John and Pria = 6:4:12= 3:2:6
Hence, Pria share in profit = (6/11)*$12000
= $ 6,545.454
Answer:
TU= 8
WU=10
TX=5
TV=10
Step-by-step explanation:
(-3,-3) and (5,2).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,-3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-3 and y1=-3.
Also, let's call the second point you gave, (5,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=5 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m=
2 - -3
5 - -3
or...
m=
5
8
or...
m=5/8
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=5/8x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-3,-3). When x of the line is -3, y of the line must be -3.
(5,2). When x of the line is 5, y of the line must be 2.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=5/8x+b. b is what we want, the 5/8 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,-3) and (5,2).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(-3,-3). y=mx+b or -3=5/8 × -3+b, or solving for b: b=-3-(5/8)(-3). b=-9/8.
(5,2). y=mx+b or 2=5/8 × 5+b, or solving for b: b=2-(5/8)(5). b=-9/8.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-3,-3) and (5,2)
is
y=5/8x-9/8
