Divide (-3x+4+18x^2) by (5+6x)

Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?

lions [1.4K]

Answer:

nah hablen español o le da miedo

8 0

3 years ago

Read 2 more answers

In a widget factory, machines A, B, and C manufacture, respectively, 20, 30, and 50 percent of the total. Of their output 6, 3,

steposvetlana [31]

Answer:

38.71% probability it was manufactured by machine A.

29.03% probability it was manufactured by machine B.

32.26% probability it was manufactured by machine C.

Step-by-step explanation:

We have these following probabilities:

A 20% probability that the chip was fabricated by machine A.

A 30% probability that the chip was fabricated by machine B.

A 50% probability that the chip was fabricated by machine C.

A 6% probability that a chip fabricated by machine A was defective.

A 3% probability that a chip fabricated by machine B was defective.

A 2% probability that a chip fabricated by machine C was defective.

The question can be formulated as:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What are the probabilities that it was manufactured by machines A, B, and C?

Machine A

What is the probability that the widget was manufactures by machine A, given that it is defective?

P(B) is the probability that it was manufactures by machine A. So $P(B) = 0.20$

P(A/B) is the probability that a widget is defective, given that it is manufactured by machine A. So $P(A/B) = 0.06$

P(A) is the probability that a widget is defective. This is the sum of 6% of 20%, 3% of 30% and 2% of 50%. So

$P(A) = 0.06*0.20 + 0.03*0.30 + 0.02*0.5 = 0.031$

So

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.2*0.06}{0.031} = 0.3871$

38.71% probability it was manufactured by machine A.

Machine B

What is the probability that the widget was manufactures by machine B, given that it is defective?

P(B) is the probability that it was manufactures by machine B. So $P(B) = 0.30$

P(A/B) is the probability that a widget is defective, given that it is manufactured by machine B. So $P(A/B) = 0.03$

$P(A) = 0.06*0.20 + 0.03*0.30 + 0.02*0.5 = 0.031$

So

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.3*0.03}{0.031} = 0.2903$

29.03% probability it was manufactured by machine B.

Machine C

What is the probability that the widget was manufactures by machine C, given that it is defective?

P(B) is the probability that it was manufactures by machine C. So $P(B) = 0.50$

P(A/B) is the probability that a widget is defective, given that it is manufactured by machine C. So $P(A/B) = 0.02$

$P(A) = 0.06*0.20 + 0.03*0.30 + 0.02*0.5 = 0.031$

So

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.5*0.02}{0.031} = 0.3226$

32.26% probability it was manufactured by machine C.

6 0

3 years ago

Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.

hodyreva [135]

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft <span>
      = 20 </span> ft
After 2 second Pattie runs = (20+5)ft
   = 25 ft
After 3 second Pattie runs = (25+5) ft
   = 30 ft
After 4 seconds Pattie runs = (30+5) ft
   = 35 ft
After 5 seconds Pattie runs = (35+5) ft
   = 40 ft
After 6 seconds Pattie runs = (40+5) ft
   = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
   = 16 ft
After 3 second Keith runs = (16+8) ft
   = 24 ft
After 4 second Keith runs = (24+8) ft
      = 32 ft
After 5 second Keith runs = (32+8) ft
   = 40 ft
After 6 second Keith runs = (40+8) ft
   = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

8 0

3 years ago

What is 10/12 + 1/2 do not give stupid answers I already know the answer so I'm watching

zlopas [31]

10/12 + 1/2 : 16/12 : 1 and 4/12.

3 0

3 years ago

Using a pencil, pair of compasses and ruler, construct a triangle with sides 8cm, 9cm and 6cm

Sonja [21]

Answer:

The nearest degree of the angle between the 8cm and 9cm sides is:

<u>41°</u>

Step-by-step explanation:

To obtain the correct angle in a small triangle like the triangle formed with the measures in the exercise is a little bit hard, in a change of this, I used a triangle calculator, with this I obtained the right angle formed by the sides with 8 cm and 9 cm, which I'm gonna add like an attachment.

From this image, you can guide yourself to draw the triangle without mistakes and to identify the right angle, which is 40,8° but the compass is not so defined, by this reason you can take it like 41° or 40°.

4 0

3 years ago