Answer:
For this case we need to check the conditions in order to use the normal approximation:
1)
2)
Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:
The mean would be given by:
And the deviation is given by:
Step-by-step explanation:
For this case we know the following info:
n =60 represent the sample size
represent the estimated proportion of people that will buy a packet of crackers after tasting
For this case we need to check the conditions in order to use the normal approximation:
1)
2)
Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:
The mean would be given by:
And the deviation is given by:
Answer:
Step-by-step explanation:
It is given that the graph corresponds to a natural logarithmic function.
That means, the function has a natural log (Log with base ) of some terms of x.
It is given that asymptote of given curve is at . i.e. when we put value
, the function will have a value .
We know that natural log of 0 is not defined.
So, we can say the following:
is not defined at
i.e. is the point where
a = 3
Hence, the function becomes:
Also, given that the graph crosses x axis at x = -2
When we put x = -2 in the function:
And y axis at 1.
Put x = 0, we should get y = 1
So, the function is:
An exponential function grows faster than any polynomial function.
h(x) = 4^x
8.75 because 656 goes up to 700 since the tens out place is 50
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9