The expression is not factorable with rational numbers.
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
Answer:
And we can find this probability with this difference:
If we use the normal standard table or excel we got:
And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %
Step-by-step explanation:
Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And we can use the z score formula given byÑ
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
If we use the normal standard table or excel we got:
And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %
There are no lines of symmetry on the us flag,in one red rectangle
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call
the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length
is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse
, perpendicular
, and base
; therefore, the Pythagorean theorem gives

which upon expanding we get:

further simplification gives
,
which is a quadratic equation with solutions

Since the first solution
will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.