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siniylev [52]
3 years ago
6

The figure above is a game spinner for a popular board game. / is split into 3 congruent sectors. Find the area of the sector of

the red section (section number 3).

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0
The spinner is a circle and the three sectors are congruent with means that each sector has the same area. The formula for the area of a sector is\
A = (1/2) r² θ
We are given with
r = 3 in
θ = 120°
Converting degrees to radians
θ = 120° (π/180°)
θ = 2π/3

Solving for the area
A = (1/2) (3)² (2π/3)
A = 3π ≈ 9.24 in²
Alexxx [7]3 years ago
5 0

Answer: B) A= 3pi in.2

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Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48
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Answer:

Hi! The answer to your question is 72 Cupcakes

Step-by-step explanation:

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180 - 108 = 72

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You run out of gas and measure the amount of gas it takes to fill the tank. Is this data a type discrete or continuous
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3 years ago
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th
Misha Larkins [42]

Answer:

a.P(E_1/A)=0.0789

b.P(E_2/A)=0.395\

c.P(E_3/A)=0.526

Step-by-step explanation:

Let E_1,E_2,E_3 are the events that denotes the good drive, medium drive and poor risk driver.

P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20

Let A be the event that denotes an accident.

P(A/E_1)=0.01

P(A/E_2=0.03

P(A/E_3)=0.10

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}

We have to find P(E_1/A)

Using the Bayes theorem

P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}

Substitute the values then we get

P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}

P(E_1/A)=0.0789

b.We have to find the probability Mr.Brophy is a medium driver

P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395

c.We have to find the probability Mr.Brophy is a poor driver

P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526

7 0
4 years ago
Shubham, Ashish, and Vinay participated in a long jump competition on their sports day. Shubham jumped 41 m 2 , while Ashish jum
9966 [12]

Answer:

Vinay jumped = 49m

Step-by-step explanation:

Given:

Shubham jumped = 41m

Ashish jumped = 3m less than Shubham

Vinay jumped = 11m more than Ashish

Find:

Length of Viney's jump

Computation:

Ashish jumped = Shubham jumped - 3m

Ashish jumped = 41m - 3m  

Ashish jumped = 38m

Vinay jumped = Ashish jumped + 11m

Vinay jumped = 38m + 11m

Vinay jumped = 49m

6 0
3 years ago
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