It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).
Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
= 
= 
Remaining marbles with Williams = m -
= 
He gave marbles to his brother = 
th of the remaining marbles
= 
= 
Remaining marbles after giving marbles to his brother = 120
Therefore, 
m = 
m = 192
Number of marbles with Williams at the starting = 192
Answer:
If today is not Thursday, then tomorrow is not Friday.
Step-by-step explanation:
I presume this is the answer off other peoples responses on the same question elsewhere.... next time include the whole question.
you do 15.0 x 4.0 and that would give you the answer of 60.
the bridge is 60m above the water.
