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:
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of biotechnology start-up company of becoming profitable = 0.2
Probability of information technology start-up company of becoming profitable = 0.15
2. Assume the companies function independently What is the probability that both companies become profitable?
We will answer this question, assuming these are independent events, this way:
Probability that both companies become profitable = Probability of biotechnology start-up company of becoming profitable * Probability of information technology start-up company of becoming profitable
Replacing with the values given, we have:
Probability that both companies become profitable = 0.2 * 0.15 = 0.03
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
Answer:
None of the answer choices.
Step-by-step explanation:
The pattern to this problem is multiply by 4, and subtract 3. However when doing 17 * 4, you get 68. Look how both of the answer chouces start with 68, and we haven't even subtracted 3 yet. This shows that the answer choices are wrong.
<u>Correct Answer: 65, 257</u>
