HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?

2) find the probability there will be at least 2 accidents

3) on any given day how many accidents should the Wilmington police expect to have.

HELP PLS! Suppose The Year Of Car Accidents Per Day In Wilmington NC Has Been Recorded For The Past Year.

Answers

Answer 1

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146


Related Questions

Matthew ran 3 miles in 15 minutes at a constant speed. How long would it take him to run 12 miles at the same speed?​

Answers

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

Please helppppp


Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?

Answers

Answer:

He did not simplify correctly and forgot to place the decimal point correctly.

Step-by-step explanation:

To simplify the equation, one needs to divide both sides of the equal sign by 5.

i.e 5.25/5=5/5

Here we find 1.05=1

Note the placement of the decimal point.

Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonard's income for the week? (1 point)
15 + 100d
15d + 100
15 + d + 100
15 + 100

Answers

Answer:

...........

[tex]⟼15d + 100[/tex]

if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes​

Answers

Convert 3h and 45 min to hours so it will be 3.9 hours

Then say:
Distance = speed ✖️time
= 122 km/h ✖️3.9h
=475.80 km
He will travel 475.80 km

Hope this helps ;)

I really need help right now please i will mark brainliest and give lots of points

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

what is the problem?

Step-by-step explanation:

Please tell me what the Point Slope Slope Intercept Standard is for these graphs

Answers

Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

Slope-intercept formula⤵⤵⤵:

[tex]y = mx + b[/tex]

Standard formula⤵⤵⤵:

[tex]Ax + By = C[/tex]

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

` 10,800 for 3 years at 121 2% per annum compounded annually.​

Answers

Answer:

15,173.22

Step-by-step explanation:

Looks like there's a typo in the question.

Should it be:

10,800 for 3 years at 12% per annum compounded annually.​

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

a = 10800 * (1.12)^3

a = 15,173.22

class extends value undefined is not a constructor or null

Answers

What? What do you mean?

which shows 2^-2 * 2^6 in exponential form

Answers

Answer:

16

Step-by-step explanation:

2^-2=0.25

2^6=64

times

=16

Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and aleah scored one tenth's of the team's points. Together the scored a total of 42 points. How many points did the team score?

Answers

Together they scored 3/10 of the teams total points (since 1/5 = 2/10). Knowing this you can find what 1/10 of the total points scored was by dividing 42 by 3. That gives you 14, now that you know what 1/10 of the points scored was you can find the total points by completing the fraction and multiplying 14 by 10. This gives a total of 140 points scored by the team

i will put brailly helpppppppppppppppppppppppppppppppppppppppppp

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Answer:

1. Even Chance

2. Even Chance

3. No Chance

4. No Chance

5. Even Chance

(NOT SURE)

(but im sure)

A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?

-----------------
This is the only information I got in the question!

Answers

There are 15 nickels and 3 quarters.

Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)

A jar contains 12 more nickels than quarters.

x = 12 + y  

x - y = 12               (1)

Also the, total value of the quarters equals the total value of the nickels. hence:

0.05x = 0.25y

0.05x - 0.25y = 0     (2)

Therefore x = 15, y = 3

Therefore there are 15 nickels and 3 quarters.

Find out more at: https://brainly.com/question/16763389

There are 3 quarters in the jar.

Let n = number of nickels and n' = number of quarters

Since the jar contains 12 more nickels than quarters, we have

n = n' + 12  (1)

Also, the total value of the quarters equals the total value of the nickels.

Since one nickel = $ 0.05 and 1 quarter = $ 0.25

n × 0.05 = n' × 0.25

0.05n = 0.25n'

Dividing both sides by 0.05, we have

n = 0.25n'/0.05

n = 5n'

Substituting n = 5n' into (1), we have

n = n' + 12

5n' = n' + 12

5n' - n' = 12

4n' = 12

Dividing both sides by 4, we have

n' = 12/4

n' = 3

So, there are 3 quarters in the jar.

Learn more about quarters in a jar here:

https://brainly.com/question/18719612

The LEADING COEFFICIENT OR THE LEADING TERM of 3x - 5x^2y^3 + 6xy + 7 is

A)3x
B) - 5x^2y^3
C)5x^2y^3
D) 6xy

NONSENSE=REPORT​

Answers

The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³

³ is the highest degree in the given expression.

_____

Hope it helps ⚜

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

x<4

Step-by-step explanation: brainlieast plz

4x - 2 < 14
add 2 on both sides
4x - 2 + 2 < 14 + 2
4x < 16
divide by 4 on both sides
4x/4 < 16/4
x < 4
the answer is b :)

Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...

Answers

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

what times 1 over 7 equals 4? correct answer gets brainliest

Answers

Answer:

x = 28

Step-by-step explanation:

1/7(x) = 4

Multiply all sides by 7

x = 4 x 7/1

x = 28/1

x = 28

-Chetan K

Answer:

n = 28

Step-by-step explanation:

Let the unknown be n.

Then the word problem translates into    n(1/7) = 4.

Multiplying both sides by 7 yields n = 28

What is the sum of the first 12 terms in the series shown below?

1.5 - 4.5 + 13.5 - 10.5 +

Answers

0 i believe is the answer

PLEASE HELP GIVING BRAINLIEST

Answers

Answer:

x=16.9+34.6

x=51.5

.............................

[tex]x - 16.9 = 34.6 \\ x = 34.6 + 16.9 \\ x = 51.5[/tex]

- BRAINLIEST answerer

the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base

Answers

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}

Answers

Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

Give the simplified radical form for each side length requested.


Pls answer only if you can explain and if your sure it’s the right answer.

I need help in understanding how to work it myself so please make sure you explain well.

Answers

Answer:

See below

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse

45×45×90 right triangle has side ratios as:

l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuse

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3

b) 45×45×90 right triangle

Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11

c)  30×60×90 right triangle

Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2

Naomi reads 9 pages in 27 minutes, 12 pages in 36 minutes, 15 pages in 45 minutes, and 50 pages in 150 minutes

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Answer:

It is proportional. They are all multiplied by three. (9*3=27)

Step-by-step explanation:

(6-i\sqrt(2))/(6+i\sqrt(2))

Answers

Answer: 18 sqrt= i

Hope this helps :)

Step-by-step explanation:

What is the name given to this shaded region

Answers

Answer:

The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.

Fill in the missing values
in the empty boxes
based on the pattern.
Х
y
-5
17
-3
11
-1
5
1
3

Answers

x

ysalamst po

-17-30sanaol

solve simultaneously for x and y if: x(x-3)+y(3-x)= 0​

Answers

x(x-3)+y(3-x)=0
(x-3)+(x-y)=0
x=3 x=y

There is a line that includes the point (-20, -7) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x+13

Step-by-step explanation:

we can plug in the two points into the slope-intercept formula

-7=-20(1)+b

solve for the right side

-7=-20+b

add 20 to both sides

13=b

plug the y intercept into the equation

y=1x+13

HELP PLEASE!!! WILL GIVE BRAINLIEST

Answers

Answer:

See below for answer

Step-by-step explanation:

Domain is the x-value in the ordered pair    

Range is the y- value in the ordered pair

1.  D = {3, 2, 1, 0}      R = {-5, -4, -3, -2}

2.  D = {-2, 0, 2, 4}   R = {1, 2, 4, 6}

3.  D = {10, 8, 6, 4}   R = {-1, 2, 5, 8}

4.  D = {-5, -3, -1, 1}   R = {-5, -3, -1, 1}

5.  D = {-4, -1, 2, 3}   R = {4, 0, 4, 6}

4. What are deductions?

A.)the amount of money added to the gross pay for commission-based sales

B.)the amount of money included with tips

C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

D.)incentives employees earn for the amount sold

Answers

Answer:

C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Step-by-step explanation:

Answer:

the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample

Answers

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

In which [tex]\sigma[/tex] is the population standard deviation.

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

In which [tex]\sigma[/tex] is the population standard deviation.

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

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