A 1.5 standard deviation above the mean is
np + 1.5 <span>√(np(1-p))
We are given with
np = 200
p = 200/n
The standard deviation is
</span><span>√200(1-200/n))
Substituting
200 + 1.5 </span>√200(1-200/n))
By inspection, if the value of n is 200, then the radical will result to the value of 1. Only by increasing the value of n greater than 200 will the radical result to a value of less than 1 and decreasing the spread of the mean.
The answer is
the minimum is 201
the maximum is infinity
9514 1404 393
Answer:
- 4% fund: $39,000
- 52% fund: $1000
Step-by-step explanation:
Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...
0.52x +0.04(40000-x) = 2080
0.48x = 480 . . . . . . . . . subtract 1600, simplify
x = 1000 . . . . . . . . . divide by 0.48
Then the amounts invested in each fund are ...
4% fund: $39,000
52% fund: $1000
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Answer:
A) 288.62
Step-by-step explanation:
10.4×15.3= 159.12
10.4²+15.3²= X²
342.25= X²
18.5= X
7×18.5= 129.5
129.5+159.12= 288.62
