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zaharov [31]
4 years ago
8

2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i

s 0.92 probability that the calculator will work on any given day. Because the final exam is so important, she plans to use redundancy by bringing in two TI-84 Plus calculators. What is the probability that she will be able to complete her exam with a working calculator? Does she really gain much by bringing in the backup calculator? Explain. [6 points]
Mathematics
1 answer:
Anarel [89]4 years ago
7 0

Answer:

  1. P(≥1 working) = 0.9936
  2. She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

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Question #55
Veseljchak [2.6K]
Lets make a proportion with the information we know. For every 1000, 8 of tax is paid.

8/1000

Then, use the rest of the information to make another proportion. We don’t know how much the tax is, so let’s call it x.

x/150000

Set the equations equal to each other

8/1000=x/150000

Cross multiply

1000x=1200000

Divide by 1000 on both sides

x=1200
7 0
3 years ago
What is the maximum number of possible extreme values for the function,
Liula [17]

Answer:

<h2>(0.3, -18.45).</h2>

Step-by-step explanation:

We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".

Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.

In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.

So, the given function is f(x)=x^{2} +4x^{2} -3x-18=5x^{2} -3x-18, where the quadratic term is positive, so the functions has a minimum at V(h,k), where h=-\frac{b}{2a} and k=f(h), let's find that point

<h3>h=-\frac{-3}{2(5)} =\frac{3}{10} =0.3</h3><h3>k=f(0.3)=5(0.3)^{2} -3(0.3)-18=0.45-0.9-18=-18.45</h3><h3 /><h3>Therefore, the minium of the function is at (0.3, -18.45).</h3>
8 0
3 years ago
Ray cupple bought a basic car costing $26,500 with options costing $725. There is a 6% sales tax in his state and a combined $50
SCORPION-xisa [38]

Answer:

the total would be $28908.50

Step-by-step explanation:

$26500+$725=$27225, $27225*106/100=$28858.50, $28858.50+50=$28908.50

8 0
3 years ago
Ur so worth it...ok now enough about u...help plz
sasho [114]

Answer:

20. 13 cm

21. 12 cm

Step-by-step explanation:

20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)

21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2   ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)

4 0
4 years ago
What is the Density
DENIUS [597]

<em>Answer:</em>

for question 4 the asnwer is 1.7

for question 6 the answer is 2

<em>Explanation: </em>

The volume of 4 is 18  length × width × height  so   3 × 3 × 2 = 18

The mass 32kg divided by the volume 18 = 1.777777778

-----------------------------------------------------------------------------------------------

The volume of 6 is 90  length × width × height  so  10 × 3 × 3 = 90

The mass 180kg divided by the volume 90 = 2

-----------------------------------------------------------------------------------------------

<em>Hope it helps, if you have any question comment down!</em>

3 0
3 years ago
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