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kumpel [21]
2 years ago
12

(a) Write an equation that could be used to answer the question above.

Mathematics
1 answer:
Margarita [4]2 years ago
6 0

The linear equation that can be used to represent the situation using 9, w and 163 is 9w + 63 = 198

The solved equation to find the number of weeks is w = 15

<h3 />

<h3>What is a linear equation?</h3>

Linear equation are equation in which the highest power of the variable is equals to 1.

Suzan is saving money to buy a bike . She already have $63 and is going to save an additional $9 per week. The cost of the bike is $198.

Let

w = number of weeks

The linear equation that can be used to represent the situation using 9, w and 163 is as follows:

using the slope-intercept form,

y = mx + b

where

m = slope

b = y-intercept

Therefore,

  • 9w + 63 = 198

The solved equation to find the number of weeks is as follows:

  • 9w = 198 - 63
  • 9w = 135
  • w = 135 / 9
  • w = 15

learn more on linear equation here: brainly.com/question/26311977

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The answer is O f(x) =-35x+5
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I need to equation for the radius of a 400m running track I know the answer is 36.5 and I know the formula is =2<img src="https:
miskamm [114]
This formula only applies if the track is circular.  If it is, then we write the equation:

2*r*pi=400

Dividing by 2pi, we see that:

r=200/pi

This is approximately 63.66.
6 0
3 years ago
A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sa
Aleks04 [339]

Step-by-step explanation:

remember, the number of possible combinations to pick m out of n elements is C(n, m) = n!/(m! × (n-m)!)

50,000 transistors.

4% are defective, that means 4/100 = 1/25 of the whole.

so, the probability for one picked transistor to be defective is 1/25.

and the probability for it to work properly is then 1-1/25 = 24/25.

now, 500 picks are done.

to accept the shipment, 9 or less of these 500 picks must be defective.

the probability is then the sum of the probabilities to get

0 defective = (24/25)⁵⁰⁰

1 defective = (24/25)⁴⁹⁹×1/25 × C(500, 1)

= 24⁴⁹⁹/25⁵⁰⁰ × 500

2 defective = (24/25)⁴⁹⁸×1/25² × C(500, 2)

= 24⁴⁹⁸/25⁵⁰⁰ × 250×499

3 defective = 24⁴⁹⁷/25⁵⁰⁰ × C(500, 3) =

= 24⁴⁹⁷/25⁵⁰⁰ × 250×499×166

...

9 defective = 24⁴⁹¹/25⁵⁰⁰ × C(500, 9) =

= 24⁴⁹¹/25⁵⁰⁰ × 500×499×498×497×496×495×494×493×492×491 /

9×8×7×6×5×4×3×2 =

= 24⁴⁹¹/25⁵⁰⁰ × 50×499×166×71×31×55×494×493×41×491

best to use Excel or another form of spreadsheet to calculate all this and add it all up :

the probability that the engineer will accept the shipment is

0.004376634...

which makes sense, when you think about it, because 10 defect units in the 500 is only 2%. and since the whole shipment contains 4% defect units, it is highly unlikely that the random sample of 500 will pick so overwhelmingly the good pieces.

is the acceptance policy good ?

that completely depends on the circumstances.

what was the requirement about max. faulty rate in the first place ? if it was 2%, then the engineer's approach is basically sound.

it then further depends what are the costs resulting from a faulty unit ? that depends again on when the defect is usually found (still in manufacturing, or already out there at the customer site, or somewhere in between) and how critical the product containing such transistors is. e.g. recalls for products are extremely costly, while simply sorting the bad transistors out during the manufacturing process can be rather cheap. if there is a reliable and quick process to do so.

so, depending on repair, outage and even penalty costs it might be even advisable to have a harder limit during the sample test.

in other words - it depends on experience and the found distribution/probability curve, standard deviation, costs involved and other factors to define the best criteria for the sample test.

3 0
1 year ago
I need help for this problem
Pavlova-9 [17]
What is the length of a soccer field.
6 0
3 years ago
SOMEONE PLEASE HELP. Please show me how to do it and what the answer would be thank you.
goblinko [34]

Answer:

hiiii

Step-by-step explanation:

welcome back

3 0
3 years ago
Read 2 more answers
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