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3 years ago

The circumference of a circle is 2\piπ m. Find its radius, in meters.

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

7 0

Answer: r=C2π=22·π≈0.31831

Hope this helps!

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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

3 years ago

(9x2 + 10x + 4) − (9x2 + 5x − 1)

ch4aika [34]

For this case we must simplify the following expression:

$(9x ^ 2 + 10x + 4) - (9x ^ 2 + 5x-1)$

We eliminate the parentheses taking into account that:

$- * + = -\\- * - = +\\9x ^ 2 + 10x + 4-9x ^ 2-5x + 1 =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$9x ^ 2-9x ^ 2 + 10x-5x + 4 + 1 =\\5x + 5$

Answer:

$5x + 5$

3 0

3 years ago

A dartboard consists of two concentric circles. The probability of hitting the inner circle is

stepan [7]

Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

3 0

3 years ago

the ratio of pink marbles to white marbles in Samaras bag is equal to 1:5. what percent of the bag contains pink marble

kenny6666 [7]

1:5= 1/5 x 20/20= 20/100

20/100= 0.20

The bag contains 20% of pink marbles.

3 0

3 years ago

A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients? 0.05gallons 0.5gallons

natka813 [3]

The answer would be 0.5 gallons.

4 0

3 years ago