Answer:
B will be the answer...
Step-by-step explanation:
The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.
To do that, we need to multiply the first equation by 5.
5 (-x − 2y = 7)
-5x − 10y = 35
Add to the second equation. Notice the x terms cancel out.
(-5x − 10y) + (5x − 6y) = 35 + (-3)
-16y = 32
Combining this new equation with the first equation from system A will get us system B.
-x − 2y = 7
-16y = 32
Answer:
y=2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-1)
y=2x-2+9
y=2x+7
Answer:
$0.68 or 68 cents
Step-by-step explanation:
4.08/6 = .68
Answer:
i. No, Maurice statement is wrong.
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width.
Since the piece of wood has a shape of a rectangle,
the area of the piece of wood = length × width
= 18 × 12
= 216 square inches
According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.
The base has the shape of a square, so that;
the area of the base = length × width = 
= 1012 ×1012
= 1024144 squared inches
This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
