Answer:
<h3>D. P = 15 and Q = 15</h3>
Step-by-step explanation:
Put the values of P and Q to the equation Px - 45 = Qx + 75:
15x - 45 = 15x + 75 <em>subtract 15x from both sides</em>
-45 = 75 FALSE
In other cases, we get some value x.
Example:
A. P = -45 and Q = -75
-45x - 45 = -75x + 75 <em>add 45 to both sides</em>
-45x = -75x + 120 <em>add 75x to both sides</em>
25x = 120 <em>divide both sides by 25</em>
x = 4.8
It should look like a vertical line on the 2 of the x axis and everything to the right would be shaded.
The system of equation that has one solution is: (d) –2x+ 7y = –5 and 2x +7y = –9
<h3>What are systems of equations?</h3>
This is a group of equations which may have none, one or more solutions.
From the list of given options, the system of equations that has one solution is:
–2x+ 7y = –5 and 2x +7y = –9
This is so because, the solution is (-1,-1)
However, the other systems have infinite many solutions
Read more about system of equations at:
brainly.com/question/13729904
Answer:
0.81859
Step-by-step explanation:
We solve using z score method
The formula for calculating a z-score is is z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Mean 0.8 pound
Standard deviation 0.25 pound
For x = 0.55 pound
z = 0.55 - 0.8/0.25
= -1
Probability -value from Z-Table:
P(x = 0.55) = 0.15866
For x = 1.3 pounds
Z = 1.3 = 0.8/0.25
= 2
Probability value from Z-Table:
P(x = 1.3) = 0.97725
The probability that a randomly selected zucchini will weigh between 0.55 pound and 1.3 pounds is
P(x = 1.3) - P(x = 0.8)
0.97725 - 0.15866
0.81859.
