Dutchess County, New York, has been experiencing a mean of 35.4 motor vehicle deaths each year. If D = the number of vehicle deaths in Dutchess County in a year, what is the distribution for D (Binomial or Poisson) Explain.​

Answers

Answer 1

Answer:

Poisson, as we have the mean number and not a proportion.

Step-by-step explanation:

We have the mean number of vehicle deaths per year, thus, since it is a mean and not a proportion, we use the Poisson distribution.

If we were working with the proportion of accidents that end in death for example, or any other proportion, it would be a binomial random variable.


Related Questions

Your help is very much appreciated and I will mark you brainliest:)

Answers

9514 1404 393

Answer:

  (c)  Yes, SSS

Step-by-step explanation:

The three pairs of corresponding sides have the same ratio:

  12/8 = 15/10 = 21/14 = 3/2

The triangles are similar by SSS.

_____

No angles are shown, so SAS and AAA cannot apply.

A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within with ​% confidence if ​(a) she uses a previous estimate of ​? ​(b) she does not use any prior​ estimates?

Answers

Answer:

732 samples ;

752 samples

Step-by-step explanation:

Given :

α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42

Using the relation :

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.58 * 0.42) / 0.03²

n = 0.65918769 / 0.0009

n = 732.43076

n = 732 samples

B.)

If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.5 * 0.5) / 0.03²

n = 0.67650625 / 0.0009

n = 751.67361

n = 752 samples

he radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 77.8 ​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Answers

Answer:

The bones were 12,485 years old at the time they were​ discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element​ carbon-14 has a​ half-life of 5750 years.

This means that [tex]A(5750) = 0.5A(0)[/tex], and we use this to find k. So

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-5750k}[/tex]

[tex]e^{-5750k} = 0.5[/tex]

[tex]\ln{e^{-5750k}} = \ln{0.5}[/tex]

[tex]-5750k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{5750}[/tex]

[tex]k = 0.00012054733[/tex]

So

[tex]A(t) = A(0)e^{-0.00012054733t}[/tex]

A scientist determined that the bones from a mastodon had lost 77.8 ​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

[tex]A(t) = 0.222A(0)[/tex]

Then

[tex]0.222A(0) = A(0)e^{-0.00012054733t}[/tex]

[tex]e^{-0.00012054733t} = 0.222[/tex]

[tex]\ln{e^{-0.00012054733t}} = \ln{0.222}[/tex]

[tex]-0.00012054733t = \ln{0.222}[/tex]

[tex]t = -\frac{\ln{0.222}}{0.00012054733}[/tex]

[tex]t = 12485[/tex]

The bones were 12,485 years old at the time they were​ discovered.

Sand, gravel and cement are mixed in a ratio of 5 : 10 : 3 to make concrete. If 35 shovels of sand are used, how many shovels of gravel, and how many shovels of cement are used?

Answers

Answer:

70 shovels of gravel, and 21 shovels of cement.

Step-by-step explanation:

35/5 = 7.

10 x 7 = 70, which is the number of shovels for gravel.

3 x 7 = 21, which is the number of shovels for cement.

35 shovels of sand
70 shovels of gravel
21 shovels of cement

A principal P is to be invested at continuous compound interest of 1.9% to yield $50,000 in 20 years. What is the approximate value of P to be invested?

Answers

Answer:  $34,193.07

You may need to delete the dollar sign and/or the comma when typing in the answer.

=======================================================

Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 35113511 grams and a variance of 253,009253,009. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 46174617 grams. Round your answer to four decimal places.

Answers

Answer:

The answer is "0.1397".

Step-by-step explanation:

[tex]\mu=3511\\\\[/tex]

variance [tex]\ S^2= 253,009\\\\[/tex]

standard deviation [tex]\sigma =\sqrt{253,009}=503\\\\[/tex]

Finding the probability in which the weight will be less than [tex]4617 \ grams\\\\[/tex]

[tex]P(X<4617)=p[z<\frac{4617-3511}{503}]\\\\[/tex]  

                      [tex]=p[z<\frac{1106}{503}]\\\\=p[z< 2.198]\\\\= .013975\approx 0.1397[/tex]

Dave's favorite recipe (spaghetti pie) calls for 20 ounces of ground sausage. Since it's awesome, everybody wants some, so he decided to make five pies and pass them out to the select few in his inner circle. The sausage comes in one-pound tubes. How many tubes did Dave need, and how many grams of delicious sausage were left over for his omelet the next morning

Answers

Answer:

hi

Step-by-step explanation:

Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/12, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 64% of the time, while rainy and foggy conditions each occur 18% of the time.
What is the probability that an accident results in a death? Round your answer to three decimal places (e.g. 98.765).

Answers

shining dnkxdvsuxnxkjdndnx

The probability that it will rain on a given day during the rainy season in Miami is 70%. If there are 140 days in the rainy season. On how many days should you except it to rain?

If you can please answer this! Thanks

Answers

Answer:

98 days.

Step-by-step explanation:

140 * 0.70

Find the probability of obtaining exactly one tail when flipping 3 coins. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. Please help me figure this out

Answers

Answer:

3/8

or

.375

Step-by-step explanation:

This is a binomial distribution

[tex]{3\choose1}*.5*(1-.5)^2=.375[/tex] or 3/8

The probability that a school wins their first game in the national college basketball tournament is related to the rank they have going into the tournament. This can be expressed by the equation y=−6.39x+104 where x is their rank (out of 16) and y is the percent chance they have of winning their first game

According to the model, a school ranked #3 has what probability of winning their first game? Round your answer to the nearest percent.

A. 76%
B. 85%
C. 105%
D. 93%

Answers

Answer:

According to the model, a school ranked #3 has 85% probability of winning their first game.

Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. Looking at the table of samples means, which value is the best estimate of the mean of the population?

Answers

Answer:

Where is the table cant help unless shown

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

12< average >16

14 is the only one in between 12 and 16.

or.....................................................................................................

12 + 16 + 13 = 41.

41/3 = 13 2/3.

13 2/3 rounds to 14 and it's the closest to it.

Given m||n, find the value of x.
+
126
m
.

Answers

Answer:

54

Step-by-step explanation:

They are supplementary and add to 180 so subtract 126 from 180 and you get 54

A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen peroxide to make the desired solution?

Answers

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

13 A traffic roundabout has a circular garden
in the centre and two lanes for traffic
encircling the garden. The diameter of the
garden is 16 metres and each lane is 3 metres
wide. Each lane is to be resurfaced. Calculate
the area to be resurfaced. Answer in square
metres to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

The area to be resurfaced is the area of the

whole circle including garden and lanes minus  

the area of the garden.

 

Area of a circle is (pi)r2

 

radius of garden is (1/2)diameter = 8 m

Garden area:  (pi)82 = 64(pi) m2

 

Diameter of garden plus traffic lanes is

16 + 2(6) because we add 6 m to both sides

of the diameter of the garden.

Full diameter = 16+12 = 28 m

Full radius = 28/2 = 14 m

Full area:  (pi)142 = 196(pi) m2

 

Area to be resurfaced:

196(pi) - 64(pi) = 132(pi) m2  ≅ 415 m2

PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Answers

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

What is the area of xyz pleae help?

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

A = 14 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 in²

I need help with this​

Answers

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

solve each question please thank you

Answers

Answer:

SURE

Step-by-step explanation:

You think that $39,500 is a good salary and are interested in a job with Fast Pax. What other information might you want to know about Fast Pax salaries, and why?

Answers

How many holidays you can get in the year
How much money you lose if you do not come for a day

Find cos(2x) from the given information. tan(x)= 9/8, x in quadrant I

Answers

Answer:

cos2x=-17/145

Step-by-step explanation:

Recall cos2x=cos^2x-sin^2x

Or cos2x=cos^2x-(1-cos^2x)*

Or cos2x=2cos^2x-1**

*By a Pythagorean Identity

**Combined like terms

I'm going to use third identity from above because I only have to find cosx or cos^2x to get requested answer for cos2x.

Recall Pythagorean identity 1+tan^2x=sec^2x.

Plug in our tangent valuem...

1+(9/8)^2=sec^2x

1+81/64=sec^2x

145/64=sec^2x

Cosine and secant are reciprocals of each other.

64/145=cos^2x

Now we are ready to plug in and get final answer:

cos2x=2cos^2x-1

cos2x=2(64/145)-1

cos2x=128/145-1

cos2x=-17/145

What is the area of parallelogram ABCD?


A)13 square units
B)14 square units
C)15 square units
D)16 square units

Answers

Answer:

c 15 square units

Step-by-step explanation:

it is very easy

fine x and y alpha ln trigonometry ln triangles​

Answers

Step-by-step explanation:

it is easy to get a answer go to web

Julio has a net pay of $ 537.00 each paycheck. He pays $ 142.00 in pre-tax deductions and taxes each paycheck. What is Julio's gross income before the tax deductions?

Answers

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

What is the range of the function on the graph

Answers

Answer:

The range of the function is all the possible y-values.

Correct answer is the last answer

Write a word description of the set.
{−9, −8, −7, −6, −5, −4, −3, −2, −1}
the set of which one whole numbers,natural numbers, negative integers or integers
greater than__________________.

Answers

Answer:  negative integers greater than -10

This is because stuff on the number line to the right is larger than stuff on the left. We can say 2 < 7 since 7 is to the right of 2.

Also, -7 < -2 for similar reasoning.

Saying integers greater than -10 excludes this endpoint. We stop once we reach -1 because 0 and anything larger aren't negative integers.

The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?

Answers

Answer:

Hence the probability that she paid cash is  0.105

Step-by-step explanation:  

P(cash) = 0.3  

P(credit card ) = 0.3  

P(debit card ) = 0.4  

P ( more than $50 | cash ) = 0.2  

P (more than $50 | credit card ) =0.9  

P (more than $ 50 |debit card ) = 0.6  

P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )  

= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4  

= 0.57  

P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)  

= 0.2* 0.3 / 0.57  

= 0.105

if a circle’s circumference is decreased by12% what percent is the diameter decreased by?


A) 2√3 %
b) 6 %
C) 12 %
D)24%

Answers

Answer:

A) 12%

Step-by-step explanation:

Lets assume a random diameter to work with. I will use a diameter of 10.

Circumference = πD

Circumference = π * 10

Circumference = 31.415

Decreasing the circumference by 12%

31.415 * 0.12 = 3.769

31.415 - 3.769 = 27.64

To find out what percent the diameter is reduced by we will find out the new diameter with the new circumference

Circumference = πD

27.64 = π * D

D = 27.64 / π

New Diameter = 8.8

OldD - NewD

10 - 8.8 = 1.2

1.2/10 = 0.12

The diameter decreased by 12%

The diameter of the circle decreased by 12% due to decrease of circles circumference by 12%.

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Let's say the diameter of the circle is D

Circumference of circle = πD

12% of Circumference = (12/100) × πD

⇒ 0.12πD

So new circumference will be

πD -  0.12πD = 0.88πD

Now let say new diameter after decreasing circumference is d

Circumference of new circle will be

πd = 0.88πD

d = 0.88D

% decrement = (change/original) × 100

diameter decrease = (D - 0.88D)/D × 100

12% hence it will be correct answer.

To learn more about the circle,

https://brainly.com/question/266951

#SPJ2

Please help! Brainiest will be given for correct answers only.

Answers

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

one solution

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

two solution

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

one solution

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

two solution

Express the confidence interval in the form of .

Answers

Answer:

0.075 - 0.022 < p < 0.075 + 0.022

Do not evaluate each of the math expressions above.

===========================================================

Explanation:

The given confidence interval is in the form (L, U)

L = lower bound = 0.053U = upper bound = 0.097

Find the midpoint of L and U to get

(L+U)/2 = (0.053+0.097)/2 = 0.075

This is the value of [tex]\hat{p}[/tex] which is the symbol p-hat or phat (both pronounced the same). It's the sample proportion.

To get the margin of error E, we could do either of the following

E = (U-L)/2 = (0.097-0.053)/2 = 0.022E = U - phat = 0.097 - 0.075 = 0.022E = phat - L = 0.075 - 0.053 = 0.022

This value of E represents half the width of the confidence interval. The full width being U-L.

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