Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side, 
To the right side, 
We have given,
The sample mean 
The standard deviation 
Substitute in the formula,
Therefore, 95% of monthly food expenditures are between $110 and $190.
15/7 is approximately 2.143
Answer:
-2
Step-by-step explanation:
I mean i use the slope formula 
and you just plug in the values of the coordinates.
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
9514 1404 393
Answer:
x ≈ 23.4
Step-by-step explanation:
You are correct that the given information indicates the tangent function is appropriate.
Tan = Opposite/Adjacent
tan(59°) = 39/x
Multiply this equation by x/tan(59°) and you get ...
x = 39/tan(59°)
x ≈ 39/1.6643 ≈ 23.43
The appropriate answer choice is ...
x = 23.4
