We can infer that more cups of flour are needed as the cakes are increased, so we can apply a rule of three, simple with direct proportion to find the answer:
12 cakes ----> 22 cups flour
30 cakes ----> x
x = (30)(22)/12
x = 55
therefore 55 cups of flour are needed to bake 30 cakes
Ok.
The volume of a cone is the volume of a cylinder over 3.
The volume of a cone is:

This problem gives us the diameter, which is twice of the radius. So, we'll just half it.
Radius (me) = 4 cm.
Substitute our given values into the equation.

Multiply

Multiply
This would make
the closest option.
Answer:
a

b

Step-by-step explanation:
From the question we are told that
The number of bootstrap samples is n = 1000
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as

=> 
Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

=> 
=> 
c is right answer because 54.15 is bigger than 54.05
Answer:
i) The approximate solutions are:
,
.
ii) The approximate solutions are:
,
.
Step-by-step explanation:
i) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are:
,
.
ii) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are:
,
.