B is the midpoint which means both sides are equal to each other:
5x = 3x + 4
Subtract 3x from both sides
2x = 4
Divide both sides by 2
X = 2
Answer:
In general, the salary S in terms of years of experience Y is S = 2700Y + 3200
Step-by-step explanation:
we start at 32000 without experience.
as the experience goes up, the wage increases 2700 per year so we can multiply 2700 by the years of experience to find the increase of salary. To find the salary of a certain employee with a certain amount of experience, plug the years of experience in for Y and solve.
for Y=0
S= 2700(0) + 3200 = 0 + 3200 = 0
for Y=2
S= 2700(2) + 3200 = 5400 + 3200 = 8600
for Y=5
S= 2700(5) + 3200 = 13500 + 3200 = 16700
for Y=7
S=2700(7) + 3200 = 2700(5) + 2700(2) + 3200 = 5400 + 13500 + 3200 = 22100
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,
Compute the value of P (<em>X ∩ Y</em>) as follows:
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Answer:
A and B
Step-by-step explanation:
Answer:
C. Both (1, 11) and (-1, -5)
Step-by-step explanation:
The missing options are:
<em>
A. Only (1, 11)
</em>
<em>B. Only (-1, -5) </em>
<em>C. Both (1, 11) and (-1, -5)
</em>
<em>D. Neither </em>
To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.
Replacing x = 1, we get:
y = 8(1) + 3
y = 11
then (1, 11) is a solution
Replacing x = -1, we get:
y = 8(-1) + 3
y = -5
then (-1, -5) is a solution
