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:
The solution for the given polynomial 
is 
Step-by-step explanation:
Here, the given quadratic equation is :
Now, here solving the given equation by SPLITTING THE MIDDLE TERM:
⇒ either (2x+1) = 0, or ( 2x + 1) = 0
⇒ x = -1/2 or x = -1/2
Here, in both the cases, the value of x is equal i.e x = -1/2
So, the given function has TWO IDENTICAL ROOTS.
Hence the solution for the given polynomial is
Answer:
15
Step-by-step explanation:
Step 1: distribute the negative: 4+11
Step 2: add up the numbers: 15
Hope that helps
Answer:
Tim
Step-by-step explanation:
Tim drove 62 miles per hour you get this by dividing 217 by 3.5 and then you divide Emily's. 244/4 and you get 61
Answer:
4th option
Step-by-step explanation:
x² - 2x - 3 = 0 ( add 3 to both sides )
x² - 2x = 3
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 3 + 1
(x - 1)² = 4
