X+y+z=22
(x+y+z+t)/4=8
subsitute
x+y+z=22
(22+t)/4=8
multiplly by 4
22+t=32
subtract 22
t=10
the fourth number is 10
This problem can be solved via a simple ratio and proportion approach. The concept is, the ratio of the actual length to the model length is constant. The solution is as follows:
Actual/Model = 12 m/ 1 cm = x/7.25 cm
Solve for x,
x = 87 m
<em>So, the actual distance is 87 m.</em>
For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is
Answer: We are required to find the value of z corresponding to probability 0.8340.
i.e., 
We can find the value of z using the standard normal table.
Using the standard normal table, we have:
Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340
Attached here standard normal table for your reference.
This is a geometric sequence of the form:
a(n)=ar^n, a=initial value, r=common ration, n=term number, if we relabel it for h(b) we have
h(b)=14(0.8^b)
h(3)=14(0.8^3)
h(3)≈7.2 ft (to nearest tenth of a foot)
Answer:
$551
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to the selling price of each widget, x, by the equation y=-x^2+62x-410
The company make the maximum profit at when dy/dx = 0
dy/dx = -2x + 62
Since dy/dx = 0
0 = -2x + 62
2x = 62
x = 62/2
x = 31
substitute x = 31 into the expression y=-x^2+62x-410
y=-x^2+62x-410
y=-31^2+62(31)-410
y = -961+1922-410
y = 551
Hence the maximum profit the company can make is $551
