Answer: 0
Step-by-step explanation:
So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.
Answer:
3) 162 ft² || 4) 38.25 mm²
Step-by-step explanation:
3)
area of triangle = 0.5 * base * height
= 0.5 * 27 * 12
= 162 ft²
4) area of triangle = 0.5 * base * height
= 0.5 * 8.5 * 9
= 38.25 mm²
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
8x7=56
56 ÷ 8 = 7
Kris walked 7 miles in 8 days
Answer:
P = 1 / 6
Step-by-step explanation:
Given:-
- A deck has 500 cards
- Numbered from 1-500
Find:-
you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card
Solution:-
- Suppose we draw three cards. We don't care what they actually are, irrespective of number.
- Let the three numbers be a, b, c: Such that:
a < b < c.
- The total possible combinations with 3 numbered cards will be:
a b c
b a c
a c b
b a c
b c a
c a b
- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:
P = 1 / possible combinations
P = 1 / 6