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rodikova [14]
3 years ago
9

A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The devi

ce is not totally reliable: 5 % of drivers who have not consumed an excess of alcohol give a reading from the breathalyser as being above the legal limit, while 15 % of drivers who are above the legal limit will give a reading below that level. Suppose that in fact 12 % of drivers are above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places.
a. What is the probability that the driver is incorrectly classified as being over the limit?
b. What is the probability that the driver is correctly classified as being over the limit?
c. Find the probability that the driver gives a breathalyser test reading that is over the limit.
d. Find the probability that the driver is under the legal limit, given the breathalyser reading is also below the limit.
Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer: 1)The drivers with low alcohol in take from the breathlyser, being above the limit, A = 5/100;

2)The drivers above the alcohol limit, give reading below that level, B = 15/100;

3) The drivers above the alcohol limit that are arrested at radom by police, C = 12/100

Step-by-step explanation: a)  A + B + C = 5/100 + 15/100 + 12/100 = 32/100

b) 1 - ( A + B + C) = 1 - 32/100 = 68/100

c) A = 5/100

d) 1 - 5/100 = 95/100

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7 0
3 years ago
Estimate how many times larger 6 x 1020 is than 29 x 1016.
9966 [12]
The larger one should be 29*1016. Round 1016 down to 1000.
You get 29000 when you do that.
6 * 1020 is roundable to 6*1000 which is 6000

If you round 29000 to 30000 then 29*1016 should be 5 times larger than 6 * 1020

Check it out.
29 * 1016 = 29464
6 * 1020 = 6120

When you divide the smaller into the larger, you get 4.18 which is in the same ball park as 5. 

Estimating is a skill you need when you are shopping and when you are writing tests. If you need to know if 4.18 is a good answer when a rounded answer is 5, you know you've done the work properly.

Rounding should permit you to get an answer in your head. 


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3 years ago
A snail is 20 inches above the ground. It slips down 6 inches and then creeps up 12 inches. What is the snail's height now?
bixtya [17]

Answer:

26

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8 0
3 years ago
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Goshia [24]
X is the number of carpeting done
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A person would have to do the carpeting 10 times in order to pay the same price for both companies (equal).
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6 0
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In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x,
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To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint m_{i,j,k} that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling f(x,y,z)=\cos(xyz) at the 8 points,

(1/2, 1/2, 1/2)

(1/2, 1/2, 3/2)

(1/2, 3/2, 1/2)

(3/2, 1/2, 1/2)

(1/2, 3/2, 3/2)

(3/2, 1/2, 3/2)

(3/2, 3/2, 1/2)

(3/2, 3/2, 3/2)

which are captured by the sequence

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with each of i,j,k being either 1 or 2.

Then the integral of f(x,y,z) over B is approximated by the Riemann sum,

\displaystyle\iiint_B\cos(xyz)\,\mathrm dV\approx\sum_{i=1}^2\sum_{j=1}^2\sum_{k=1}^2\cos m_{i,j,k}\left(\frac{2-0}2\right)^2

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=\cos\dfrac18+3\cos\dfrac38+3\cos\dfrac98+\cos\dfrac{27}8\approx\boxed{4.104}

(compare to the actual value of about 4.159)

4 0
3 years ago
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