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).
The answer is 8, just divide 6 by 48. Hope it helped.
I am doing this test I will do it and I will give you the correct answer when I am done I think it's the last one but I am not sure soo wit an tell I finish the test
Answer:
(3×20%+2×70%)/3+2=40%
Step-by-step explanation:
Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.
Yet we can average the percentage of the active ingredient by the principle mentioned above
Answer:
30 cm^2
Step-by-step explanation:
a = 13 cm
b = 12 cm
using Pythagorean theorem:
a^2 = b^2 + c^2
--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25
--> c = √25 = 5
The area of that right triangle is:
S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)