All of the five statements are true expect for the second one (Points P and M are on plane B and plane S) and the fifth one (line d intersects plane A at point N).
The second statement is false point M does not lie on plane s, making the statement false. Also, line d intersects plane A at L, not n.
Answer:
True
Step-by-step explanation:
7x = 63
x = 63/7
x = 9
So, the given conclusion is true for the statement.
Hope it helps ⚜
Answer:
We have the system of equations:
y = -2*x
y = 2*x + 4.
To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.
You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)
We also can calculate the solution with math, let's do that:
y = -2*x
y = 2*x + 4.
We can replace the first equation in the second one, to get:
-2*x = 2*x + 4
Now let's solve this for x
-2*x -2*x = 4
-4*x = 4
x = 4/-4 = -1
Evaluating this in one of the equations we get:
y = -2*-1 = 2
Then the solution is the point (-1, 2), exactly what we can see in the graph.
Answer:
80 chocolates type 'a' and 240 chocolates type 'b'
Step-by-step explanation:
The company selects 25 random packages of each type from which one of type a has an incorrect weight and three of type b have an incorrect weight.
We can say that
= 4% of the chocolates type 'a' have an incorrect weight while
= 12% of chocolates type 'b' have an incorrect weight.
Now, if the company selects 2000 random chocolates of each type we ca predict that the amount of chocolates that have an incorrect wright will be:
Type 'a': 2000x0.04 = 80
Type 'b': 2000x0.12 = 240
So the company is expected to find 80 chocolates type 'a' and 240 chocolates type 'b' that have incorrect weight.
Answer: 11
Step-by-step explanation: