Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.
Event A - get a green or yellow marble
Event B - get a pink marble
Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
![P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} \\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}](https://tex.z-dn.net/?f=P%28A%29%3D%20%5Cfrac%7B3%2B4%7D%7B3%2B4%2B5%2B8%7D%3D%20%5Cfrac%7B7%7D%7B20%7D%20%20%0A%5C%5CP%28B%29%3D%20%5Cfrac%7B8%7D%7B3%2B4%2B5%2B8%7D%3D%20%5Cfrac%7B8%7D%7B20%7D%20%3D%20%5Cfrac%7B2%7D%7B5%7D%20)
Probability of combined events is
80 square units
Divide the figure into 4 small triangles, 2 rectangles, and one big rectangle on the center.
Area of ONE small triangle:
1/2 • 2 • 2 = 2 square units
Multiply that by 4 because we have 4 small triangles: 2 • 4 = 8 square units
Area of ONE small rectangle:
2 • 6 = 12 square units
Multiply that by 2 bcos we have 2 of those rectangles: 12 • 2 = 24 square units
Area of the big rectangle on the center:
6 • 8 = 48 square units
ADD the area of the big rectangle, 4 small triangles, and 2 small rectangles:
48 + 24 + 8 = 80
FINAL ANSWER: 80 square units
BRAINLIEST WILL BE APPRECIATED IF I GOT THIS RIGHT (pls comment me back if my answer was correct)
Have a nice day -SpaceMarsh
Answer:
17
Step-by-step explanation:
These two angles add up to 180, so we can set up an equation. 5x-23+7x-1=180. Now we combine like variables, getting 12x-23-1=180. We add 23 to both sides, and get 12x-1=203. Then we add 1 to both sides, getting 12x=204. Finally we divide by 12 on both sides, with our result as x=17.
Step-by-step Solution
Problem to solve: 6x−8y−5х+3y
solving method: simplifying
Combining like terms -8yand 3y
6x−5y−5
Final Answer:
6x−5y−5