The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?

The entire output of a factory is produced on three machines. The three machines account for 20%, 30%, and 50% of the output, re

Sliva [168]

Answer: 0.20833

Step-by-step explanation:

This is a case of inverse probability.

We first determine the probability that an item is defective generally.

To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.

Mathematically,this becomes :

(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)

0.01 + 0.009 + 0.005 = 0.024.

Probability an item is defective in general = 0.024

Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.

Hence, given that the item is defective, the probability that it was produced by the third machine becomes:

= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)

= 0.005/0.024

= 0.20833.

4 0

3 years ago

Can someone help me on this question?<br> Thank you

lina2011 [118]

Answer:

BAE

Step-by-step explanation:

A quarter circle (angle BAD) will have a measure of 360°/4 = 90°. An angle of 105° will be larger than 1/4 circle. The only angle on the diagram larger than BAD is BAE.

The measure of angle BAE is 105°.

8 0

2 years ago

Identify the stem: 556 <br> A. 5<br> B. 6<br> C. 55<br> D. 56<br> ...Ahem.. Help?

Semenov [28]

C. a leaf is only one digit

3 0

3 years ago

Read 2 more answers

What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

- - - - - - -

<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

$\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }$

180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0

3 years ago

Read 2 more answers

A line goes through the point (6,-2) and has a slope of

Lilit [14]

Answer: a = 3

Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2

so the slope is -3 and the y-intercept is 16

so a*-3 + 16 = 7

by subtracting 16 on both sides you get

-3a = -9

and to get a by itself you divide -3 on both sides

a = -9/-3

a= 9/3

a = 3

5 0

3 years ago