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4 years ago

10

Find the missing length. The triangles in each pair are similar

2 answers:

Vesna [10]4 years ago

7 0

If they are proportional, then GE=18

umka21 [38]4 years ago

5 0

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

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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

Jackson wrote the equation below on the whiteboard.

faust18 [17]

B = 7

7 x 6 = 42

42 + 6 = 48.

6 0

3 years ago

Read 2 more answers

Find the area of the rug. DO NOT ROUND.<br><br> what is the area?

Mademuasel [1]

Answer:

$\frac{198}{7} \ \text{feet}^{2}$

<h3>Step-by-step explanation:</h3>

<u>Given:</u>

Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

<u>Where:</u>

r = radius
d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ $\pi (\frac{D}{2} )^{2}$

⇒ $\pi (\frac{6}{2} )^{2}$

⇒ $\pi (3 )^{2}$

⇒ $\pi (3 )(3)$

⇒ $9\pi$

Substituting "22/7" as π:

⇒ $9(\frac{22}{7} )$

⇒ $(\frac{198}{7} )$

When finding the area of ANY shape, do not forget to include the units.

⇒ $\frac{198}{7} \ \text{feet}^{2}$

4 0

2 years ago

Read 2 more answers

What happens to the graph of y = |x| when the equation changes to y |x-9|?

zhenek [66]

Answer: The graph will move 9 spaces to the right.

7 0

3 years ago

The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the me

Arada [10]

Answer:

An equation is $x+52\°+90\°=180\°$

Step-by-step explanation:

Let $x$ be the measure of the unknown acute angle.

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

One of the acute angles of a right triangle is equal to 52°.

Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.

$x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°$

So, an equation is $x+52\°+90\°=180\°$

4 0

3 years ago