C) The probability that you pick at least one purple marble is 98%.
<h3><u>Probability</u></h3>
The question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.
Now, to answer the questions, the following calculations must be done:
- C) 100 - (2/9x9) = X
- 100 - 2 = X
- 98 = X
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Find the slope first using m=y2-y1/x2-x1
-4-4/0-4 =2
The y intercept is when x=0.
One of the given points is (0,-4)
The y intercept is y=-4
Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
Answer:
15/32
Step-by-step explanation:
