X>-4 would be the correct answer
Answer:
The answer to your question is below
Step-by-step explanation:
1.- Find the volume of the cylinder
Data
diameter = 9 cm
radius = 4.5 cm
height = 15 cm
Formula
V = πr²h
V = π(4.5)²(15)
V = 303.75π This is te answer for the volume in terms of π
= 952.78 cm³
2.- Find the volume of the cylinder
height = 40 yd
radius = 12 yd
Formula
V = πr²h
V = π(12)²(40)
V = 5760π This is te answer for the volume in terms of π
= 18086.4 cm³
3.- What is the height .......
height = q
side length = r
4.- Volume of a pyramid
Volume = Area of the base x height
Area of the base = 11 x 11 = 121 cm²
Volume = 121 x 18
Volume = 2178 cm³
Answer:
a

b

c

Step-by-step explanation:
The number of vehicles available is 
The number of vans is k = 5
The number of cars is n = 13
Generally P(E) is mathematically represented as

=> 
=> 
Generally P(F| E) means the probability that the second vehicle assigned is a van given that the first one selected is a van this mathematically calculated as



Generally
is also mathematically represented as

=> 
=> 
=>
Answer:

And using the normal standard distribution or excel we got:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the dsitribution for x is normal then we know that the distribution for the sample mean
is given by:
We want to find this probability:

And we can use the z score formula given by;

And if we find the z score for the limits given we got:


So we can calculate this probability like this:

And using the normal standard distribution or excel we got:
