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joja [24]
3 years ago
14

When a man observed a sobriety checkpoint conducted by a police​ department, he saw 671671 drivers were screened and 77 were arr

ested for driving while intoxicated. Based on those​ results, we can estimate that Upper P (Upper W )P(W)equals=0.010430.01043​, where W denotes the event of screening a driver and getting someone who is intoxicated. What does Upper P (Upper W overbar )PW ​denote, and what is its​ value? What does Upper P (Upper W overbar )PW ​represent?
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

P(\overline W)=0.98957

Step-by-step explanation:

Number of drivers Screened = 671

Number Arrested for Driving While Intoxicating = 7

If the W denotes the event of screening a driver and getting someone who is intoxicated.

The Probability of W, P(W)=\frac{7}{671}=0.01043

  • The Probability P(\overline W) is the probability of the event of screening a driver and getting someone who is not intoxicated. Simply put, it is the Probability of the Complement of W.

From Probability Theorem,

P(W)+P(\overline W)=1\\Since \: P(W)=0.01043\\0.01043+P(\overline W)=1\\P(\overline W)=1-0.01043\\=0.98957

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Humphrey needs to mail a package. He weighs it at home as 20.2 ounces. When he gets to the post office, the clerk weighs it at 1
Scrat [10]

Answer:

7.92%

Step-by-step explanation:

Given the following

Weight of package at home = 20.2 ounces.

Weight of the package at the office = 18.6ounces

Decrement = 20.2 - 18.6

percentage error = decrement/wt at home * 100

percentage error = 1.6/20.2* 100

percentage error = 160/20.2

percentage error = 7.92

HEnce  the percent error in the weight of the package is 7.92%

7 0
2 years ago
A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
3 years ago
NEED ANSWER ASAP!!! (EASY)
Nata [24]
3000(0.25)=750

C is correct. Hope this helps!
4 0
3 years ago
Read 2 more answers
An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

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6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

3 0
3 years ago
Liter of water i drink 1/4 before lunch and 2/3 of the rest after lunch how much do I bring in-between
tresset_1 [31]

Answer:

We have (2/3)x(1-1/4) - 1/4 = (2/3)x(3/4) -1/4 = 6/12 = 1/4 = 1/2 -1/4 = 2/4 - 1/4 = 1/4 do I bring in between;

Step-by-step explanation:

8 0
3 years ago
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