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ycow [4]
3 years ago
15

Aluminum usage in automobiles has been climbing steadily. As recently as 1990, there were no aluminum-structured passenger cars

in production anywhere in the world, but by 1997, there were seven of them, including the Audi A8. With weight savings of up to 47% over steel vehicles, such cars use less fuel, create less pollution, and are recyclable. Aluminum pistons are also used in automotive internal combustion engines. Aluminum pistons are manufactured through casting because of its capability to produce near-net shaped parts at the required production rates. However, with poorly designed molds, under-fills or excess porosity can cause parts to be rejected. In a process that manufactures certain aluminum pistons, the probability that a piston has an under-fill defect is 0.05, the probability that a piston has a porosity defect is 0.04, and the probability that a piston has both defects is 0.01. What is the probability that a randomly chosen piston has a defect?
Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

P(A U B)= 0.08

Step-by-step explanation:

1.Let:

P(A) as the probability that a psiton has an under-fill defect

P(B) as the probability that a pistón has a porosity defect

P(A ∩ B) the probability of having both defectos

Then:

P(A)=0.05

P(B)=0.04

P(A ∩ B)=0.01

2. The probability that a randomly chosen piston has a defect could be calcularse as the union of the probability of choosing a piston with am under-fill defect and one with porosity defect.

That Is P(A U B)

Aplying the probability properties we have:

P(A U B)= P(A) + P(B) -P(A ∩ B)

Replacing the probabilities:

P(A U B)= 0.05+0.04-0.01

P(A U B)= 0.08

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Teresa purchased a prepaid phone card for $20. Long distance calls cost 16 cents a minute using this card. Teresa used her card
shtirl [24]

Answer:

33 minutes. 20- 14.72=5.28

Step-by-step explanation:

20- 14.72=5.28. then divide 5.28 by .16(cents per minute) to get 33 minutes

8 0
3 years ago
During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each 8th mile th
soldi70 [24.7K]

Answer:

Green and Blue ribbon

Step-by-step explanation:

Given

They collect

Red Ribbon = ½ mile

Green Ribbon = ⅛ mile

Blue Ribbon = ¼ mile

To find?

Which colors of ribbons will be collected at the ¾ mile mark.

The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.

Testing each fraction.

Red Ribbon = ½

¾ ÷ ½

= ¾ * 2

= 3/2

= 1.5 or 1 Remainder 1

This is not an exact multiple of ¾. So, the red ribbon won't be passed here.

Green Ribbon = ⅛

¾ ÷ ⅛

= ¾ * 8

= 24/8

= 3

This is an exact multiple of ¾. So, the green ribbon will be collected.

Testing the last ribbon

Blue = ¼

¾ ÷ ¼

= ¾ * 4

= 3

This is an exact multiple of ¾. So, the blue ribbon will be collected.

Hence, the green and blue ribbons will be collected at ¾ mile mark

3 0
3 years ago
Question 7 of 10
Gelneren [198K]

The group of values plugged into the TVM Solver of a graphing calculator that will return the amount of a 25-year loan with an APR of 16.8%, that is paid off with monthly payments of $340 is:

A. N=300; 1%-1.4; PV = PMT=-340; FV=0; P/Y=12; C/Y=12;PMT:END

What is monthly compounding?

Monthly compounding in this case the number of payments would be the number of monthly payments in 25 years, which is 300 monthly payments(i.e. 12*25=300), this means that options B and D are obviously incorrect because number of payments, N is given as 25( 25 years instead of 300 months)

What is monthly interest rate?

The monthly interest is the annual interest rate of 16.8% divided by 12, which is 1.40%, in short, option C is also wrong because I/Y(monthly interest rate) was as shown as an interest rate of 16.8% instead of 1.40%

Overall, the correct option is A, because the number of payments and interest rate were stated correctly, unlike other options that were incorrectly written

Find out about more about TVM Solver notations on:brainly.com/question/14586708

#SPJ1

5 0
1 year ago
As a water quality assurance employee for local Aqua America, Inc branch record a drop in water levels from 28 feet to 7 feet at
Bad White [126]
7 is 1/4 of 28, so 7 is 25% of 28.
The drop from 28 to 7 is a drop of 21.
21 is 3 times 7, so 21 is 3 times 25%.

Answer: It is a 75% decrease.
8 0
2 years ago
Read 2 more answers
Subtract the cube root of the product of h and 3k from the square of the sum of p and q​
ehidna [41]

Answer:

(p + q)²            -          ∛(h·3k)   or   (p + q)² - ∛(h·3k)  

Step-by-step explanation:

Cube root of x:  ∛x

Product of h and 3k:  h·3k

Sum of p and q:  p + q

*****************************

From (p + q)²      subtract ∛(h·3k)      This becomes, symbolically:

=>       (p + q)²            -          ∛(h·3k)

3 0
2 years ago
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