pls help me with this!

Answer:

A) 0.1339

B) 0.8078

Step-by-step explanation:

The Poisson Distribution formula is given by;

P(x; μ) = (e^(-μ) × (μ^(x))/x!

We are given;

Variance = 0.5 per month

Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month

A) We want to find the probability that 4 typhoons will hit US in a year.

Thus, x = 4

But since it's for a year, then μ = 0.5 × 12 = 6

So;

P(x = 4) = (e^(-6) × (6^(4))/4!

P(x = 4) = 0.00247875 × 1296/24

P(X = 4) = 0.1339

B) probability that at least 2 typhoons will hit US in a given half-year is;

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

In a half given year, μ = 0.5 × 6 = 3

P(X = 0) = (e^(-3) × (6^(0))/0!

P(X = 0) = 0.0498

P(X = 1) = (e^(-3) × (6^(1))/1!

P(X = 1) = 0.1494

P(X < 2) = 0.0498 + 0.1494

P(X < 2) = 0.1922

P(X ≥ 2) = 1 - 0.1922

P(X ≥ 2) = 0.8078

Answer:

t = 13.33 second

Step-by-step explanation:

Given:

Equation first -25t+1250

Equation second 50t+250

Computation:

-25t+1250=50t+250

75 t = 1,000

t = 13.33 second

Means in t (13.33) second both container have same amount of liquid

Answer:

12.5

Step-by-step explanation:

it's the awnser. I need to explain why

Answer: $32.74

Is your answer

Glad I could help!

Step-by-step explanation:

Answer:

the answer is a equation

Step-by-step explanation:

because u supposed to make it a equation in order for it to be a expression.

hope you get it right!!!!!!!!

Answer:

Maybe 5 2/3

Step-by-step explanation:

-5x+4-x-1

combine the like terms first

-5x-x+4-1

-5x-x=-6x

+4-1=3

answer:

-6x+3 or 3-6x

Answer:

-6x+3

Step-by-step explanation:

-5x+4-x-1

(-5x-x)+(4-1)

-6x+3

Answer:

b?

Step-by-step explanation:

b= v16.4

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.

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

Answer:

I think it is B.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

The expression is not factorable.

Step-by-step explanation:

Answer:

3x + 9

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(5x + 3) - (2x - 6)

Step 2: Simplify

Answer:

you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))

Answer:

50 chocolate chip cookies

Step-by-step explanation:

30÷6=5

Answer:

See image for reference

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

1) the average time a car is in the system is 0.1587 min

2) the average number of cars in the system 0.1111

3) the average time cars spend waiting to receive service is 0.01587 min

4) the average number of cars in line behind the customer receiving service is 0.01111

5) the probability that there are no cars at the window is 0.9

6) the percentage of time that the postal clerk is busy is 10%

7) the probability that there are exactly two cars in the system is 0.1217

Step-by-step explanation:

Given that;

Arrival rate λ = the rate of 7 every 10 minutes = 7/10 = 0.7

Average service time μ = 7 minutes

The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.

1) What is the average time a car is in the system?

Average in the system W = 1 / (μ - λ)

= 1 / (7 - 0.7) = 1 / 6.3 = 0.1587 min

therefore the average time a car is in the system is 0.1587 min

2) What is the average number of cars in the system?

Average number of cars L = λ / (μ - λ)

= 0.7 / (7 - 0.7) = 0.7/6.3 = 0.1111

Therefore the average number of cars in the system 0.1111

3) What is the average time cars spend waiting to receive service?

Average time spend waiting for services  Wq = λ / μ(μ - λ)

= 0.7 / 7(7 - 0.7) = 0.7/44.1 = 0.01587 min

Therefore the average time cars spend waiting to receive service is 0.01587 min

4) What is the average number of cars in line behind the customer receiving service?

average number of cars in line behind the customer receiving service

Lq = λ² / μ(μ - λ) = (0.7)² / 7(7 - 0.7) = 0.49 / 44.1 = 0.01111

Therefore the average number of cars in line behind the customer receiving service is 0.01111

5) What is the probability that there are no cars at the window?

probability that there are no cars at the window = 1 -  (λ / μ)

= 1 -  (0.7 / 7) = 1 - 0.1 = 0.9

Therefore the probability that there are no cars at the window is 0.9

6) What percentage of the time is the postal clerk busy?

percentage of the time is the postal clerk busy = (λ / μ)

= (0.7 / 7) = 0.1 ≈ 10%

Therefore the percentage of time that the postal clerk is busy is 10%

7) What is the probability that there are exactly two cars in the system?

the probability that there are exactly two cars in the system = (λ²e^-λ) / 2!

= (0.7²e^-0.7) / 2! = 0.2433 / 2 = 0.1217

Therefore the probability that there are exactly two cars in the system is 0.1217

Answer:

Step-by-step explanation:

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer:

[tex] x = 10.4 [/tex]

Step-by-step explanation:

Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:

[tex] \frac{BD}{BE} = \frac{AD}{CE} [/tex]

BD = 12 cm

BE = x

AD = 27 cm

CE = 23.4 cm

Plug in the values

[tex] \frac{12}{x} = \frac{27}{23.4} [/tex]

Cross multiply

[tex] x \times 27 = 23.4 \times 12 [/tex]

[tex] 27x = 280.8 [/tex]

Divide both sides by 27

[tex] x = 10.4 [/tex]

Answer:

Step-by-step explanation:

Given

Required inequality:

Solving for d:

Up to 5 days is the answer

Answer:

B

A

Step-by-step explanation:

Use the graph to find the amplitude and period.

Notice amplitude is the absolute value of the number in front of either sin or cos

please give a heart for thanks :)

Answer:

its c

Step-by-step explanation:

Answer:

15 miles per hour.

Step-by-step explanation:

105/7=15

Answer:

Step-by-step explanation:

Formula to be used,

A = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Here, A = Final amount

P = Principal amount

r = rate of interest

n = Number of compounding (In a year)

t = Duration of investment (In years)

Question (5)

P = $4250

r = 0.015

n = 4

t = 3 years

A = [tex]4250(1+\frac{0.015}{4})^{4\times 3}[/tex]

A = [tex]4250(1.00375)^{12}[/tex]

A = $4445.24

Part (C)

1). P = $6000

   r = 0.03

   n = 2

   t = 10 years

  A = [tex]6000(1+\frac{0.03}{2})^{2\times 10}[/tex]

      = [tex]6000(1.015)^{20}[/tex]

      = $8081.13

2). P = $9000

    r = 0.05

    n = 2

    t = 8 years

    A = [tex]9000(1+\frac{0.05}{2})^{2\times 8}[/tex]

        = [tex]9000(1.025)^{16}[/tex]

        = $13360.55

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50