The slope of a line that passes through each pair of points (2,2), (3,1) is (4,2), (0,2)
Answer:
Step-by-step explanation:
Problem 2a
The total number of ways that he can deal with his room
is 3 * 2 * 3 = 18
Problem 2b
P(green, plaid, track) = 1/3*1/2*1/3 = 1/18
Problem 2C
The bedspread and the poster don't change. The word or in probability is a real stinker. In this case it means that there are 2 choices of paint color.
The only choice that won't work is if he chooses hospital white instead of green or blue. So he has a 2/3 chance of choosing one of the two colors he wants.
The probability then becomes P(bedspread,Poster, color) = 1/2 * 1/3 * 2/3 =
2/18
The answer is (5.5,-6.5) because you find the midpoint for the x-axis which is 9+2 then divide by 2 then do the same for the y-axis and place them together.
Answer:
1) 13 ft.
2) 23.3 m (when rounded to 1 dp)
Step-by-step explanation:
The Pythagorean theorem states that
when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
<u>1) Question 1</u>
The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

Take the square root of both sides

Therefore, the length of the ladder is 13 ft.
<u>2) Question 2</u>
The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

Take the square root of both sides

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.
I hope this helps!
Answer:
12.3%
Step-by-step explanation:
In this case, despite being different events, they are dependent on each other, therefore the final probability would be the multiplication of both probabilities.
So let L be the probability of being late that is equal to 41% and let T be the probability that the train will leave you and is equal to 30%.
That is to say:
L = 41% = 0.41
T = 30% = 0.3
So:
P = L * T
P = 0.41 * 0.3 = 0.123
So it means that the final probability is 12.3%