(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ateach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket?
(B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?

Answers

Answer 1

Answer:

0.27

0.1111111

Step-by-step explanation:

Given that:

X :

L1 = 40% = 0.4

L2 = 30% = 0.3

L3 = 20% = 0.2

L4 = 30% = 0.3

P(x) :

L1 = 0.2

L2 = 0.1

L3 = 0.5

L4 = 0.2

A.)

Σ(X * p(x))

(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27

B.) Radartrap located at L2:

P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))

= (0.1 * 0.3) / 0.27

= 0.1111111


Related Questions

have a good holiday guys

Answers

Answer:

Well thank you so much you too

Step-by-step explanation:

Answer:

u too homie!

Step-by-step explanation:

i want free points

HELPPPP!!!!

Find the Unit Rate (How much will it cost for 1 candy cane) if it cost $4.79 for 35
candy canes. Explain how you found your answer. *
i need the answer please !!

Answers

You divide per cost
Find how much it is for one

The hose on a power washer is 42-ft. long. If the compressor to which the house is attached is located at the corner of a 28-ft wide house, how can the hose reach up the far corner without moving the compressor?

a. What is the exact height that the hose can reach up?


b. What is the approximate height that the hose can reach up?

Answers

9514 1404 393

Answer:

  a) 14√5 feet

  b) about 31.3 feet

Step-by-step explanation:

a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.

  h² +(28 ft)² = (42 ft)²

  h² = (1764 -784) ft² = 980 ft²

  h = √(196·5) ft

  h = 14√5 ft

__

b) The approximate height is ...

  14√5 ≈ 31.305, about 31.3 feet

The right rectangular prism below has a square base?Select yes or no.

Answers

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

PLEASE HELP!! PLEASE SHOW WORK OR EXPLAIN!! I WILL GIVE BRAINLIEST!!

Answers

Answer:

-4

Step-by-step explanation:

The equation for slope is as follows:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

We can use point P and point V's coordinates to find the slope.

Point P is at (2,4)

Point V is at (3,0)

Let's define all the variables:

y2 = 0 (from point V)

y1 = 4 (from point P)

x2 = 3 (from point V)

x1 = 2 (from point P)

Now that we have all the variables we can plug it into the equation:

[tex]\frac{0-4}{3-2} = \frac{-4}{1} = -4[/tex]

Therefore, the slope of line PV is -4.

I hope this helps!!

Feel free to ask any questions!

- Kay :)

Please draw it on your paper or something and show it

Answers

Answer:

Parallel lines are line AB and line CD

and line BC and line AD

Step-by-step explanation:

(notation wise, put a line on top of the letters to show it is a line segment)

drawing shown below

please give thanks by clicking the heart button :)

The population of a city decreases by 3.7% per year. If this year's population is 211,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

20,3193

Step-by-step explanation:

Population decrease per year in city = 3.7%

Current population = 211,000

Next year's population = 211,000*3.7/100

                                      = 7807

                                      = 211,000-7807

                                      =203193

Next year's population= 203193

Therefore, next year's population will be equal to 20,3193.

The next year's population is 203193.

Given that, the population of a city decreases by 3.7% per year.

What is population growth and population decrease formula?

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100})^n[/tex].

If the constant decrease in population be R% per annum, then the population after n years = [tex]P(1-\frac{R}{100})^n[/tex].

This year population is 211,000.

Now, [tex]211000(1-\frac{3.7}{100})^1[/tex]

= 211000×0.963

= 203193

Hence, the next year's population is 203193.

To learn more about the population increase and decrease visit:

https://brainly.com/question/27779235.

#SPJ5

.

A right triangle has one angle that measures 24°. What is the measure of the other acute angle?

Answers

Answer:

The measure of the other angle is 66°.

Step-by-step explanation:

Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :

90° + 24° + θ = 360°

114° + θ = 180°

θ = 66°

Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5. In which step did his first error occur?

Answers

Answer:

Step 1

Step-by-step explanation:

His first error occurred in step 1.

The common denominator of [tex] \frac{2}{9} [/tex] and [tex] \frac{1}{5} [/tex] is 45, and not 14.

Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.

45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.

45 would make both fractions common not 14.

What postulate/theorem can be used to prove the following triangles congruent?

Answers

Answer: SAS

Step-by-step explanation:

It is given that the two sides are congruent.

The angle between the two congruent sides is also congruent because of the vertical angle theorem.

Since a side, angle, and side are congruent, the theorem is SAS.

greatest number which divides into 304 to leave
remainder of 4 and which also divides into 298 to leave a remainder of 4.

Answers

Answer:

answer is 6

Step-by-step explanation:



√x + 4 +
x + 4 + 2
√x + 4√2​

Answers

Answer:

this is the correct answer

Write four thousand twenty four and seventy six thousandths in
number
inta decimall

Answers

Answer:

4,024.076

Step-by-step explanation:

and = Decimal point

0 = tenths 7 = hundredths 6 = thousandths

4,027.076


i could be wrong but

A court holds jurisdiction over five counties, and the juries are required to be made up in a representative manner from the eligible populations of these five counties. An investigator notices that the county where she lives has 14% of the total population of the five counties eligible for jury duty, yet records reveal that over the past five years only 122 out of the 1386 jurors used by the court reside in her county. Do you feel that this constitutes reasonable evidence that the jurors are not being randomly selected from the total population

Answers

Answer:

Yes.

I feel that since only about 9% of the jurors are being appointed from the county, instead of the more representative 14%, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population.

Step-by-step explanation:

a) Data and Calculations:

County population proportion = 14%

This implies that the country is supposed to have at least 1,386 * 14% = 194 of the jurors used by the court.

Evidence from records show that the county has only 122 of 1,386 = 9% (122/1,386)

This means that about 72 (194 - 122) jurors are not being appointed from the county.

And 72 represents about 5% of 1,386 (72/1,386).  This number is more than half of those being appointed from the county or more than 50% or precisely 59%.

Therefore, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population.  The selection is not representative of the population characteristics.

Please help I need it

Answers

The first and the last are non repeating and the middle are repeating the way u find that out is if they have the line on the top that means it’s repeating and never stops.

400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 400 million, and one of these 400 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist

Answers

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school. Write an expression to show that each traveled the same distance.

Answers

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)


Find the exterior angle measure:
47°
74°

Answers

Answer:

x = 121°

Step-by-step explanation:

The exterior angle is equal to the sum of non-adjacent interior angles

x = 74° + 47°x = 121°

The ratio of the number of boys to the number of girls in skateboard club is 5 to 4. There are 60 girls in skateboard club. How many boys are in skateboard club?

Answers

Answer:

boys:girls

5:4

?:60

multiply 15.

?=75 boys.

Hope it helps.

Answer:

Hello there.

5:4

75:60

Step-by-step explanation:

if 60/4=15, multiply 15 with 5.

your answer is 75.

Hope it helps, thank you.

Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?

Answers

Answer:

08:15 pm

Step-by-step explanation:

2:45 + 2:15 + 0:45 + 2:30

=8:15

10 of 14
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

why in kilometers? 87.3 km/h

Name an equivalent ratio for with a denominator of 8.

Please select the best answer from the choices provided

A: 4/8
B: 1/8
C: 5/8
D: 3/8​

Answers

Answer:

(A)

Step-by-step explanation:

4+4=8,4/8 is an equalivent ratio. So the best answer would be A!

Hope this helps:)!

Help please giving brainliest!!

Answers

Answer:

Step-by-step explanation:

-1 = -3x + 5

add 3x on both sides

3x - 1 = 5

add 1 on both sides

3x = 6

divide both sides by 3 to get x by itself

x = 2

write one hundred eight million four hundred four thousand in standard form

Answers

Answer:

108,404,000

Step-by-step explanation:

Answer:184,400,000

Step-by-step explanation:

good

The probability of rolling a number less than 3 on a number cube is 2/6. Jennifer rolls a number cube 60 times. How many times should Jennifer expect to roll a number less than 3?

A. 10
B. 20
C. 30
D. 40
E. 50

Please help me!!

Answers

Well it should be b if not then c

Use 50% as the percentage amount taken off of 199.99. Please help me

Answers

Answer:

199.49

Step-by-step explanation:

Answer:

199.49

Step-by-step explanation:

Hope this helped have an amazing day!

The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. Here, we study the relationship between smoking and weight of the baby. The variable smoke is coded 1 if the mother is a smoker, and 0 if not. The summary table below shows the results of a linear regression model for predicting the average birth weight of babies, measured in ounces, based on the smoking status ofthe mother. Estimate Std. Error t value Pr(>|t|)(Intercept) 123.05 0.65 189.60 0.0000smoke -8.94 1.03 -8.65 0.0000The variability within the smokers and non-smokers are about equal and the distributions aresymmetric. With these conditions satisfied, it is reasonable to apply the model. (Note that wedon't need to check linearity since the predictor has only two levels.)(a) Write the equation of the regression line.(b) Interpret the slope in this context, and calculate the predicted birth weight of babies born tosmoker and non-smoker mothers.(c) Is there a statistically significant relationship between the average birth weight and smoking?

Answers

Answer:

hmmmmmmmmmmmmmmmm...

Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i = 1, 2, 3, and 4 respectively.)


Sample Regimen Sample Size Sample Mean Sample SD

Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2

Required:
a. What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
b. Carry out the test suggested in part (a). State the appropriate hypotheses.
c. Find the value of the test statistic in this test.

Answers

Answer:

A.

This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.

B.

The null hypothesis

H0: μ1 = μ2 = μ3 = μ4

The alternate hypothesis:

H1: at least 2 means are unequal

C.

First we calculate the grand mean

= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]

= (643.5 +732.7 + 349.6 + 614.6)/54

= 2340.4/54

= 43.341

Sum of squared treatment

= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]

= 9.3104

Mean square of treatment

= SST/I-1

= 9.3104/4-1

= 9.3104/3

= 3.1035

Error sum of squared

= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²

= 88.46

Error mean square

MSE = 88.46/54-4

= 1.7692

Test statistic

= 3.1035/1.7692

= 1.75

Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.

Answers

Answer:

$15 and 50 cents

Step-by-step explanation:

3.25x2=6.50+9=15.50

19. How many actions does Jolene perform in 1 hour? 20. In 1 hour, how many more actions does Jolene perform than Pedro 2 Game Efficiency Player (actions per minute) Kendra 350 Pedro 100 Jolene 315 actions 19. In 1 hour, Jolene performs (Type a whole number) 1 More Enter your answer in the answer box and then click Check Answer Check And. please help marking as brian lest​

Answers

Answer: Jolene is a character in Phantom Hourglass.3 1 Biography 2 Non-Canon Appearances 2.1 Phantom Hourglass Manga 3 Nomenclature 4 Gallery 5 References Jolene keeps a vigilant eye out for her old friend Linebeck, with whom Link travels, so that she might get her revenge on him. If she spots the SS Linebeck, she will attack and ambush. If this happens, Link must fight off Jolene, and if he is ...

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