Answer:
x = 1/2
, y = 3/2
Step-by-step explanation:
Solve the following system:
{3 y + x = 5
-2 x - 4 = -5
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{3 y + x = 5
-2 x - 4 = -5
Hint: | Isolate terms with x to the left hand side.
Add 4 to both sides:
{3 y + x = 5
-2 x = -1
Hint: | Solve for x.
Divide both sides by -2:
{3 y + x = 5
x = 1/2
Hint: | Perform a substitution.
Substitute x = 1/2 into the first equation:
{3 y + 1/2 = 5
x = 1/2
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{3 y + 1/2 = 5
x = 1/2
Hint: | Isolate terms with y to the left hand side.
Subtract 1/2 from both sides:
{3 y = 9/2
x = 1/2
Hint: | Solve for y.
Divide both sides by 3:
{y = 3/2
x = 1/2
Hint: | Sort results.
Collect results in alphabetical order:
Answer:{x = 1/2
, y = 3/2
i = 
<span>(a)
</span>i. The probability mass function of X is 5 / 14
Hypergeometric Distribution is the probability distribution
of a hypergeometric random variable.
The hypergeometric distribution is used to calculate the
statistical importance of having drawn a specific k successes (out of n total
draws) from the aforementioned population in the hypergeometric test uses.
ii. Please see attached image for the answer.
Answer:
a) s = -16
+ 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16
+
t + 
where: s is the height of the football above the ground, t is the time,
is the initial velocity and
is the initial height.
The height of the building =
= 192 feet and the initial speed of the ball =
= 96 feet per second, then;
s = -16
+ 192t + 96
a) The polynomial is given as:
s = -16
+ 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.