I think you're talking about the black spot on the surface of the Earth,
where the end of the Moon's shadow falls, and anybody inside that
circle sees the Sun completely covered for a few minutes.
The size of that spot varies. It depends on exactly how far the Moon
is from the Earth, and exactly how far both bodies are from the Sun.
The longest possible totality viewed from a single location is about
7-1/2 minutes, when all the geometry is just right. Then, I believe,
the black spot on the Earth's surface is something like 170 miles
across, moving at around 24 miles a minute, or 1,460 miles per hour.
Answer: y = 9x - 3
That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.
Answer:
A)336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Step-by-step explanation:
A) P(n, r) = P(8, 3)
Formula for permutation is;
P(n, r) = n!/(n - r)!
P(8, 3) = 8!/(8 - 3)!
P(8, 3) = (8 × 7 × 6 × 5!)/5!
5! will cancel out to give;
P(8, 3) = (8 × 7 × 6)
P(8, 3) = 336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) C(n, r) = C(7, 2)
Formula for combination is;
C(7, 2) = n!/(n - r)!r!
Thus;
C(7, 2) = 7!/(7 - 2)!2!
C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)
5! will cancel out to give;
C(7, 2) = 7 × 6/2
C(7, 2) = 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Will equal 8 times that same number. This is because you have 6x and are subtracting -2x. Subtracting a negative is like adding a positive.
You need to multiply 4/5*2,000/1.
So, you would get 8,000/5.
Now, we need to divide 8,000 by 5, which would be 1,600.
1,600 items produced out of 2,000 are not defective.
