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:
1/5
Step-by-step explanation:
Slope formula = (y2-y1)/(x2-x1)
((-6)- (-9))/ ((9)-(-6)
(-6 + 9)/ (9 + 6)
3/15
1/5
3/8 mile in 3/5 hour
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
to get
=
=5/8 miles per hour
A=$20.20/10gal=$2.02 per gal
B=$26.04/12gal=$2.17 per gal
C=$28.14/14gal=$2.01 per gal
D=$30.45/15gal=$2.03 per gal
So C is the cheapest per gallon.
