In analyzing hits by certain bombs in a​ war, an area was partitioned into ​regions, each with an area of km2. A total of bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly 3 hits.

Answers

Answer 1

x is 3 that is the number of hits

e = 2.71828 is the Euler number

μ is the mean in the given interval = 0.967

There is 5.72% probability that a randomly selected region had exactly three hits.

Let X be the random variable denoting the number of bombs hitting the selected sample.

The following formula determines the likelihood that x in a Poisson distribution corresponds to the number of successes of a random variable.

P(X = x) = e^₋μ × μˣ / (x)!

Here, X is the random variable denoting the number of bombs hitting the selected sample.

μ is the mean number of hits per region.

e is the constant value.

Since 535 bombs struck a total of 553 regions, the ratio of strikes per region to the total number of regions is 535 to 553.

μ = 535 / 553

μ = 0.967

Assume that we want to find the probability that a randomly selected region had exactly 3 hits.

which means, P(X = 3)

P(X = x) = e^₋μ × μˣ / (x)!

P(X = 3) = e^₋0.967 × (0.967)³/ (3)!

             = 0.057

There is approximately 5.72% probability that a randomly selected region had exactly three hits.

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In analyzing hits by certain bombs in a​ war, an area was partitioned into ​553 regions, each with an area of 0.95 km². A total of 535 bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly 3 hits.In applying the Poisson probability distribution formula,  P(X) = e^₋μ × μˣ / (x)!, identify the values of μ, x and e. Also , briefly describe what each of those symbols represent.

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Related Questions

9029
2066
10
4
-6-54-3-2-12- 2 3 4 5 6 x
-f(x)
-6
-8
-10
-12+

Answers

78533dkkdkxsaxcrcpsnsnawsp

Whats the correct answer answer asap for brainlist

Answers

Answer:

B

Step-by-step explanation:

The answer to the question is C

Find the angle between the vectors A = <2,-3> asnd B = <-2, -5> to the nearest tenth of a degree.

Answers

Answer:

55.5

Step-by-step explanation:

answer is 55.491477012331599 which rounded to the nearest tenth is 55.5

when you said to the nearest tenth of degree i assume that meant like rounding to the nearest tenth

Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.

7. (4, , 0)

8. ( , -2, -2)

9. (2, 3, )

10. (-3, -2, )

Answers

The missing value of the ordered triple for questions 7,8,9 and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

   

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

   

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions  7,8,9, and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

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how would i explain my students proportional reasoning

Answers

Answer:

proportional reasoning involved thinking about relationship and making comparisons of countries are values in the words of John went Diwali portion reasoning is difficulty find it is not something that you can or not to but is diploma over 3 reasoning

what mixed number is equivalent to the fraction 28/5

Answers

The mixed number equivalent to the fraction 28 / 5 is 5 3 / 5

What is mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction.

Therefore, it is a combination of a whole number and a proper fraction.

Hence,

The fraction is in improper fraction, let's convert it to mixed fraction.

Therefore,

28 / 5 = 5 3 / 5

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Work out the surface area of the triangular prism below. Give your answer in cm cm². 17 cm 14 cm 15 cm 8 cm​

Answers

Answer:

Step-by-step explanation:

A= 2AB+(a+b+c)h

AB= s (s﹣a) ( s﹣b) (s﹣c)

s = a+b+c

2

Solving for A

A= ah +bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=17·8+14·8+15·8+1

2·﹣174+2·(17·14)2+2·(17·15)2﹣144+2·(14·15)2﹣154≈ 567.35897

Answer: 567.36

The formula = A = 1/2 bh

You can find the answer with that formula

ANSWERS QUCIK PLS AND THINK U

Answers

Answer:

50.3cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

radius is 4cmπ = 3.142

Plug in:

A = πr² → A = (3.142)(4)²

            → A = (3.142)(16)

            → A = 50.272

"1 decimal places",  round up to 50.3

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Given that a bag of m&ms has 21 brown candies, 15 orange candies, 10 yellow candies, 14 red candies, and 5 green candies, find the probabilities

Answers

The probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077

What is Probability ?

Probability is the study of likeliness of an event to happen.

It is given that a bag of  candies that have

21 brown candies

15 orange candies,

10 yellow candies,

14 red candies,

5 green candies,

probabilities of drawing each candy =?

Total Candies = 21 +15+10+14+5 = 65

Probability = No. of chances / Total outcomes

Probability of drawing Brown candies = P(B) = 21 /65 =  0.323

Probability of drawing Yellow candies = P(Y)= 10/65= 0.154

Probability of drawing Orange candies = P(O) = 15/65=  0.231

Probability of drawing Red candies =P( R) = 14/65= 0.215

Probability of drawing Green candies = P(G) = 5/65= 0.077

Therefore the probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077.

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how long would it take to drive 18 miles while going 18 mph

Answers

Answer:

1 hour

Step-by-step explanation:

18 miles because if u go 18 miles per hour it takes a hour

Please help me....trying to get my HS diploma, i did not graduate :(

Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 48 square feet and no bigger than 80 square feet. If the length is 2 feet more than the width, what are the range of possible values for the length?

Answers

Answer:

It would be B.

Step-by-step explanation:

[tex]area = l \times w \\ but \: w = l - 2[/tex]

[tex]area = l(l - 2) = l {}^{2} - 2l[/tex]

[tex]l {}^{2} - 2l \geqslant 48 \\ l {}^{2} - 2l - 48 \geqslant 0 \\ (l + 6)(l - 8) \geqslant 0[/tex]

[tex]l {}^{2} - 2l \leqslant 80 \\ l {}^{2} - 2l - 80 \leqslant 0 \\ (l + 8)(l - 10) \leqslant 0[/tex]

Sol 1: L in ]-∞,-6]U[8,∞[Sol 2: L in [-8,10]

Intersection:L belongs [-8,-6[U[8,10]

But Length cannot be negative

L belongs [8,10] or 8≤L≤10

Which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x2? Check
all that apply.
p(x) = 14(x + 7)² + 1

g(x) = -5(x + 10)² - 1

s(x) = –(x − 1)? +0.5

g(x) = 2x² + 10x-35

t(x) = -2x² - 4x - 3

Answers

Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:

g(x) = -5(x + 10)² - 1t(x) = -2x² - 4x - 3

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

For the translations, we have that:

Shift left, hence x -> x + a, a > 0.Shift down, hence y -> y - a, a > 0.Having a maximum means that the leading coefficient is negative.

The functions that respect these conditions are:

g(x) = -5(x + 10)² - 1t(x) = -2x² - 4x - 3 = -2(x² + 2x) - 3 = -2(x + 1)² - 1

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Silva the formula I=Prt, in general, to find the principal, p.

Answers

Dividing both sides by rt,

[tex]\boxed{P=\frac{I}{rt}}[/tex]

Two friends, Olivia and Melanie, took summer jobs. The equation y=22.2xy=22.2x represents Melanie's earnings in dollars and cents, yy, for working xx hours. Olivia earned $1156 in 40 hours. How much less per hour does Melanie earn than Olivia?

Answers

Answer:

  $6.70 per hour

Step-by-step explanation:

We want to compare the pay for 1 hour's work.

Melanie's pay

The equation tells us that her pay for working 1 hour can be found from the equation using x=1.

  y = 22.2x

  y = 22.2×1 = 22.2 . . . . pay for 1 hour

Melanie earns $22.20 per hour.

Olivia's pay

We assume that Olivia's pay is proportional to hours worked, so pay for 40 hours will be 40 times 1 hour's pay.

  pay per hour = $1156/(40 h) = $28.90/h

Olivia earns $28.90 per hour.

Pay difference

The difference in their rates of pay is ...

  $28.90 -22.20 = $6.70

Melanie earns $6.70 less per hour than Olivia.

sari ran for class president. each student in her class voted one time. sari won 25% of the student votes. if sari recived 60 votes, how many students voted altogether

Answers

The number of students who voted is 240.

How many students voted?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

The number of students who voted = number of votes Sari received / percentage number

60 / 0.25 = 240

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324 divided into 6.846

Answers

324 divided into 6.846 is 47.33

How to evaluate the division?

The statement is given as:

324 divided into 6.846

This is represented as:

324/6.846

Using a calculator, we have:

47.3269062226

Approximate

47.33

Hence, 324 divided into 6.846 is 47.33


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X. y.
-1. 1/10
0. 1/2
1. 5/2
2. 25/2
3. 125/2



What is the rate of change of the function described in the table?
a. 12/5
b. 5
c. 25/2
d. 25​

Answers

Answer: B

Step-by-step explanation:

Each time x increases by 1, y is multiplied by 5.

The ages of 30 students in a class are given below. Construct a frequency table for grouped data using 6 classes. For convenience, the data has been ordered from smallest to largest. 15, 17, 18, 19, 25, 25, 27, 28, 29, 30, 30, 32, 33, 36, 38, 45, 45, 48, 49, 50, 52, 53, 55, 56, 57, 58, 59, 59, 63, 68 All responses should be whole numbers. Provide your answer below:

Answers

Here is the frequency table:
Class       Frequency

15 - 24       4

25 - 34        9

35 - 44       2

45 - 54        7

55 - 64         7

65 - 74          1

What is the frequency table?

A frequency table is used to track the frequency of a data set. The data ranges from 15 to 68, if the classes are to be 6, then the class interval would have to be 9.

Class       Frequency

15 - 24       4

25 - 34        9

35 - 44       2

45 - 54        7

55 - 64         7

65 - 74          1

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3) Which letter has a perpendicular line segment?

A. Y

B. L

C. R

D. U

Answers

Answer: L

Step-by-step explanation:

The two segments that form L meet at a 90 degree angle.

Describe the transformation of the function, y=1/7 x from y = x.

Answers

The transformation of the function, y=1/7 x from y = x is y = 7x

How to determine the transformation?

The function is given as:

y = 1/7x

The transformation rule is given as:

y = x

This means that we swap x and y.

So, we have:

x = 1/7 y

Multiply through by 7

y = 7x

Hence, the transformation of the function, y=1/7 x from y = x is y = 7x

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At a restaurant levys total bill is 46 bucks, if he wants to tip 15 percent how much should he leave as a tip?

Answers

Total bill is 46
Wants to tip 15%
There; 15/100 * 46/1 = 6.9

What is the slope of a line parallel to the line with equation 2x−5y=9?


25

−25

−95

−52

Answers

Answer:

For this one the parallel slope is going to be 2/5

Step-by-step explanation:

A coach in a train can seat exactly 72 people for a trip. The train has 12 such coaches. If the train made 156 trips in full capacity this year, how many people has it carried in that time. I will give brain to the first person who answers this question correctly.

Answers

Answer:

134,784 people

Step-by-step explanation:

Hello!

Let's first find the number of people it can carry on 1 trip. We can do this by multiplying the number of people per coach, by the number of coaches.

72 x 12864

The train carries 864 people per trip. We can find the number of people in 156 trips by multiplying 864 by 156.

864 x 156134,784

The train, in full capacity, will carry 134,784 people in 156 trips.

Giving brainliest to first accurate answer

Answers

Answer:

x<3

Step-by-step explanation:

There isn't a question that I can see for the first image, and I cannot see the yellow part, so I am not 100% sure if this is an accurate answer to the question you were asking.

Problem
A prime trio is a collection of three prime numbers [tex]\{p,q,r\}[/tex] in arithemtic progression, with common difference [tex]q-p=r-q[/tex]. For example, the prime trio [tex]\{3,5,7\}[/tex]has common difference 2.
(a) Find a prime trio with common difference 50.
(b) Find two prime trios with common difference 60.
(c) Prove that there is no prime trio with common difference 70.

Answers

Answer:

(a) 50:

3 53 103

(b) 60:

7 67 127

11 71 131

Step-by-step explanation:

OK, I think you can prove this with the theorem that any prime greater than 3 is 6n-1 or 6n+1, for integer n. In other words, any prime is near a multiple of 6; it is either one less or one more. The proof for this is very easy, look it up.

Given this fact, if two primes (p,q) are 70 a part, this means the first one has to be a case of 6n+1 and the second one has to be a case of 6n-1. Why? Because the nearest multiple of 6 is 72 and with +1 on one end and -1 on the other end, you can reach a "gap" of 70.

Now for the next two primes (q,r) the same must hold. Only, it can't because this requires q to be both 6n-1 and 6n+1.

Define coefficiend, base and index of an algebraic term with an example​

Answers

Step-by-step explanation:

a number used multiplier variable

example 6z menas 6 times z and z is a variable so sixes coefficient variable with no number have a question of one example X is a really 1x

The coordinates of the points P, Q and R are given by (-2, 1), (1, 4) and (4, k) respectively. Find the value(s) of k if
(b) PQ=QR(clue:distance).​

Answers

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

How to find the missing value of a coordinate

Herein we can find the value of the missing coordinate of point by the Pythagorean theorem, which is described below:

PQ = QR     (1)

[tex](Q_{x}-P_{x})^{2} + (Q_{y}-P_{y})^{2} = (R_{x}-Q_{x})^{2} + (R_{y}-Q_{y})^{2}[/tex]

If we know that P(x, y) = (- 2, 1), Q(x, y) = (1, 4) and R(x, y) = (4, k), then the missing value of the point R is:

[1 - (- 2)]² + (4 - 1)² = (4 - 1)² + (k - 4)²

(k - 4)² = 9

k - 4 = ± 3

k = 4 ± 3

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

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Evaluate the following expression.

(5x)^0

Answers

Hello,

Answer:

1

Step-by-step explanation:

(5x)⁰ = 1

Rule : a⁰ = 1

Answer:

1

Step-by-step explanation:

(5x)^0

Any base raised to the zero power is 1

a^0 = 1

5^0 =1

(5x)^0 =1

Which statements are true? Select three options.

You can use for reference ;)

Answers

The answers are A,C,&E

does 6(2x-6)=-7(-2x+4) have no solution or infinite solution

Answers

Answer:

It does not.

Step-by-step explanation:

[tex]6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.[/tex]

[tex]\{-4\}[/tex] is our set of solutions. Answering your question, it does not.

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