I have attached screenshots for the complete question as well as the diagram associated with it.
Answer:point C
Explanation:A plane and a line can either:
1- have no intersection
2- intersect in a point
3- intersect in a line in case the whole line is found in this plane
For the given:
We can see that line CG does not belong to the plane ABCD, however, they both intersect.
This means that the intersection between them is a point.
We can note that the only point common between the line and the plane is point C.
Therefore, plane ABCD intersects line GC at point C
Hope this helps :)
2/10 in simplest form is 0.2
Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
For example: Square has dimension a
A = a² and if every dimension is multiplied by k new dimension would be:
A 1 = k² a² = k² A.
Or the area of rhombus: A = d1 * d 2 / 2
New area is: A 1 = k d 1 * k d 2 / 2 = k² A
Answer: If every dimension of two-dimensional figure is multiplied by k, the area is multiplied by k².
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28