Answer:

Step-by-step explanation:
we know that
The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone
so

we have


substitute



Answer:
40 ounces of coffee
Step-by-step explanation:
we know that
To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
so
To make 6 ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
using proportion
Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha
Let
x ---> ounces of coffee needed to make 48 ounces of caffe mocha

Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.


Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is

The standard deviation of the random sample is







Therefore, The mean is 2.5 and the standard deviation is 1.08.
186,648 hits (which in baseball is pretty much impossible lol)
Answer:
The value of k with given points and slop = 11
Step-by-step explanation:
Given that a line passes through two points having slop (m) = 2
co ordinates of points are (1 , 3) and (5 , k)
Now slop of line can be written as,
Slop = 
Or, m = 
2 = 
Or, 2 = 
So , k - 3 = 8
∴ K = 8+3 = 11
Hence the value of k with given points and slop = 11 Answer