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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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Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

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7 0
3 years ago
a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving how mant servings can
laiz [17]

Answer:

I believe its 36

Step-by-step explanation:

so what i id is a took apart the answer, if 1 1/4 if 10 cups the 1/4 1/4 1/4 1/4 1/4 would also be 10 cups, so now i know that 1/4 = 2 servings

eso i took 3. 1/4 and that gave me 6 and now add the previous which is 10 so its 16 and i have   2 cups left

from here i knew 1 cup and 1/4 is 10 so subtract 1/4 which is -2 servings and you have 8 and 8+8 is 16 so

then i added

16+16= 36

which leads to my final answer of 36

Im so sorry if im wronge but if its right please give brainlest

7 0
2 years ago
At South High School, 37% of the teachers are between 22 and 30 years old, 25% are between 31 and 40
Nookie1986 [14]
I don’t know but I’m not gonna say anything so you don’t get it wrong
6 0
3 years ago
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters
hjlf

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let R_E be the distance of route around edges

R_E = 80+60 = 140\ meters

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

H^2 = P^2 + B^2

In the given scenario

P = 60

B = 80

Now

H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

= 140-100 = 40\ meters

Hence,

The route across the park is 40 meter shorter than the route around its edges.

7 0
3 years ago
the area of kens rectangular yard is 480 square feet. the yard is 24feet wide. in order to fence in the garden completely on all
andrey2020 [161]

Answer:

88 ft

Step-by-step explanation:  Start with the formula for the area of a rectangle:

A = L*W, where L is the length and W is the width.

Here, the width is W = 24 ft, and the area i s 480 ft^2.  Thus,

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The length of the fencing required is actually the perimeter of the yard, which is P = 2L + 2W.

Substituting 20 ft for L and 24 ft for W, we get:

P = perimeter of yard = amount of fending needed:

P = 2(20 ft) + 2(24 ft) = 88 ft

Ken would need 88 ft of fencing to enclose his entire yard.

7 0
3 years ago
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