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alukav5142 [94]
3 years ago
10

Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

Mathematics
1 answer:
Viktor [21]3 years ago
6 0
Liz would end up baking more cookies than sara. So the answer would be d
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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
Given g(x) = 2(x – 5), determine x for g(x) = -30.
GREYUIT [131]
When g(x) = -30, x = -10
To solve, make -30 equal to 2(x-5):
-30 = 2(x-5)
-30 = 2x -10
-20 = 2x
-10 = x
5 0
2 years ago
When would half of one pizza be the same amount of pizza as half of another? When wouldn't it?
ra1l [238]

Answer:

It would when the pizza is the same size. It wouldn't if the sizes were different. Half of a kid pizza would not equal to half of a party pizza.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
TIMED!!!
guajiro [1.7K]

Answer: Last option.

Step-by-step explanation:

The total amount of concrete in the ramp (V_t) will be the sum of the volume of the  rectangular prism (V_{rp}) and the volume of the triangular prism (V_{tp})

V_t=V_{rp}+V_{tp}

The formulas are:

V_{rp}=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

 V_{tp}=\frac{bhl}{2}

Where "l" is the lenght, "b" is the base and "h" is the height.

Substituting, we get:

V_t=V_{rp}+V_{tp}\\\\V_t=lwh+\frac{bhl}{2}\\\\V_t=(18in)(6in)(6in)+\frac{(8in)(6in)(18in)}{2}\\\\V_t=1,080in^3

4 0
2 years ago
Read 2 more answers
Bob's monthly net income is $3,000. Bob pays $950 for rent, $250 for all
inysia [295]

Answer:

A: Negative cash flow, $50

Step-by-step explanation:

Bob makes $3000 a month.

Every month he has to pay $950:

3000 - 950 = 2050

Pay an additional $250:

2050 - 250 = 1800

And another additional $1850:

1800 - 1850 = -50

Therefore, he has a negative cash flow of $50 a month.

7 0
3 years ago
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