The answer is A. 23/22.
The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens (there is OR in a sentence), you will use the addition rule. So, let's just add the probability that the object is green and the probability that the object is a cube.
There are in total 22 objects:
<span>7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects.
</span>The probability that the object is green is 11/22 (because there are 11 objects
that are green (5 cubes and 6 spheres) of in total 22 objects).
The probability that the object is a cube is 12/22 (because there are 12 objects that are a cube (7 blue and 5 green) of in total 22 objects).
Thus, the probability that the object is green or a cube is:
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
Answer:
Correct option: A
Step-by-step explanation:
The angle BDC inscribe the arc mBC, so we have that:
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
From the secants relation in a circle, we have that:
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
mDE = 48°
The sum of the arcs is 360°, so we have:
mBC + mCD + mDE + mBE = 360
118 + mCD + 48 + 76 = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle mCBD inscribes the arc mCD, so we have:
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles mCBD and mBDC are equal, so the triangle is isosceles.
Correct option: A
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30