Answer:
4777.28 N
Step-by-step explanation:
The gravitational force down the slope is given by the formula;
(mass *g * sin θ )
where;
θ is the angle of inclination of the slope
g is the gravitational pull
We plug in the given values into the above expression;
(4,000 x 9.8 x sin 7) = 4777.28 N.
The frictional force must equal to 4777.28 N (pointing up the slope).
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 quotient of 4 and 9 raised to the power of r.
Step-by-step explanation:
