The angle of a sector of a cone is 135, and the slant height is 20 centimeters. What is the diameter of the cone?

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eimsori [14]

Answer:

8,920 ÷ 80=111.5

892 ÷ 8=111.5

89.2 ÷ 0.08=111.5

.892 ÷ 0.008=111.5

Step-by-step explanation:

6 0

2 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

3 years ago

Please help... need help ASAP due today... which ones are the answers?

andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

$\frac{4-(-2)}{3-1}=\frac{6}{2}=3$

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be $-\frac{1}{x}$ . Therefore, if the line's slope is 3, then we need to find answers with a slope of $-\frac{1}{3}$ .

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where $y-y_{1}=m(x-x_{1})$ . The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

$x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3$

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0

3 years ago

I need her Divideing .31 9

Aleks [24]

Answer:

If we’re dividing .31 by 9

The solution is on the photo below

Hope this helped. Have a great day!

3 0

3 years ago

The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. What is the measure of angle 7

jasenka [17]

Your answer will be 95 degrees. (3x+10)=(4x-15) ends up with x=25. Plug it in to (3x+10). You should get 85 degrees. Using the definition of supplementary angles, angle 3 will be 95. Angle 7 and angle 3 are corresponding angles.

4 0

3 years ago