Answess
Step-by-step explanation:
Answer:
BQ = 16
QE = 8
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1
Here, let BQ = 2x and QE = x
BQ + QE = BE
2x + x = 24
3x = 24
x = 24/3
x = 8
2x = 2*8 = 16
BQ = 16
QE = 8
Answer:
y = 3x - 2
Step-by-step explanation:
<em>use y = mx + b</em>
y = -2
x = 0
m (slope) = 3
b (y-intercept) = -2, <em><u>since the point (0,-2) passes through the y a</u></em>xis.
<em>put is as slope-intercept form:</em>
y = 3x - 2
9514 1404 393
Answer:
8. A = {Delaware, New Jersey, Pennsylvania}
9. |B| = 3
Step-by-step explanation:
8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:
A = {Delaware, New Jersey, Pennsylvania}
__
9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.
|B| = 3
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).
