HELP!! MATH!!!!!!! thanksss

Answer:

a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The mean number of hurricanes in a certain area is 5.3 per year.

This means that [tex]\mu = 5.3[/tex]

a. Find the probability that in a year, there will be 3 hurricanes.

This is P(X = 3).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386[/tex]

0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b. in a 45-year period, how many years are expected to have 3 hurricanes ?

0.12386 each year. So, for 45 years:

45*0.12386 = 5.57

5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?

5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Answer:

A

Step-by-step explanation:

Males have XY sex chromosomes while females have XX sex chromosomes.

Answer:

473 yd²

Step-by-step explanation:

bottom area = 11x11 = 121 yd²

each of the 4 sides = 11x16x0.5 = 88 yd²

4(88) + 121 = 473 yd²

Answer:

half a year

Step-by-step explanation:

if she grows 12 inches in one year 6 is half of that so half a year or 6 months

Answer:

y=x+10

Step-by-step explanation:

y=mx+b

y=1x+b

1 because for every 10 it goes to the right, it goes up 10 as well.

b=10 because the function crosses the y-axis at 10

so

y=x+10

Answer:

b. 3.3 centimeters

Step-by-step explanation:

[tex]\frac{7}{x} =\frac{15}{7} \\\\15x = 49\\x=3.3[/tex]

Answer: A=4800(.04)^14

Step-by-step explanation: solve

Answer:

2^(n+1)

1st term ----> n=1 = 2^(1+1)  = 2^2 =4

2nd term ----> n=2 = 2^(2+1)  = 2^3 =8

3rd term ----> n=3 = 2^(3+1)  = 2^4 =16

like this,

12th term ----> n=12 = 2^(12+1)  = 2^13 =8192

Step-by-step explanation:

Answer:

The answer would be C/third option

Step-by-step explanation:

To find volume you have to do LxWxH which is shown in the third option

Answer: the answer is c you multiply length times width times height

Step-by-step explanation:

Answer:

Im not sure but i think you add the vaariableafter the  +

Answer:

I think the answer is 8 m. Hope this helps.

Answer:

A. 2

Step-by-step explanation:

Formula for slope of a line (m) = change in y / change in x = ∆y/∆x

Using the coordinates of two points on the line, (1, -4) and (6, 6):

Slope (m) = (6 - (-4)) / (6 - 1) = 10/5 = 2

Slope (m) = 2

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

12 degrees below 0 means -12 Degrees

hope it helps you,

Follow me!

Answer:

1.3

Step-by-step explanation:

Answer:

y=8.94

Step-by-step explanation:

use the formula: a^2+b^2=c^2

64+y^2=144

y=[tex]\sqrt{80}[/tex]

or y=8.94

Answer:

Given:

Elena buys a watermelon for $8.25 and 4 pounds of cherries

Tania buys a pineapple for $4.15 and 3 pounds of cherries

Variable "p" represents the price (in dollars) per pound of cherries

To find:

Write an expression to represent the amount that Elena had spent more than Tania

Solution:

Variable "p" ← is the price of the cherries per pound

The price of cherries bought by Elena will be = $ 4p

∴ Total amount spent by Elena during her shopping for fresh fruits is,

= $ 8.25 + $ 4p

= $ [8.25 + 4p]

Also,

The price of cherries bought by Tania will be = $ 3p

∴ Total amount spent by Tania during her shopping for fresh fruits is,

= $ 4.15 + $ 3p

= $ [4.15 + 3p]

Now, we will find that how much more than Tania, Elena had spent during her shopping for fresh fruits, i.e.,

= [Total amount spent by Elena on fresh fruits] - [Total amount spent by Tania on fresh fruits]

= [8.25 + 4p] - [4.15 + 3p]

= 8.25 + 4p - 4.15 - 3p

= $ [4.10 + p]

Thus,  

4.10+P

Also View:

Reshmi family booked a banquet hall at New Delhi whose charges were RS 50,000 for the hall and Rs 200 per plate for dinner write an algebraic expression to determine the cost of wedding function if the number of visitors is denoted by p?

brainly.in/question/14125799

The cost of 5 oranges and 3 apples is 35 and the cost of 2 oranges and 4 apples is 28.Find the total cost of 6 oranges and 4 apples?

brainly.in/question/4837196

Answer:

50

Step-by-step explanation:

50 / 10 = 5

5 x 3 = 15

Step-by-step explanation:

C≈3.54

Using the formulas

A=πr2

C=2πr

Solving for C

C=2πA=2·π·1≈3.54491

Step-by-step explanation:

[tex] = 16 {x}^{2} + 32x - 9 \\ = (4x + 9)(4x + 1) \\ x = - \frac{9}{4} \: or \: x = - \frac{1}{4} [/tex]

Answer:

9 pounds

Step-by-step explanation:

I converted it

Answer:

The area of the window is approximately 112.1 meters^2

Step-by-step explanation:

The formula to find the area of a circle is A=πr^2

A = πr^2 = π · 6^2 ≈ 113.09734

A ≈ 113.1

Answer:

14m+35 is your answer ☺️☺️☺️

Answer:

14m+35

Step-by-step explanation:

7(2m+5)

7(2m)+7(5)

14m+35

Answer:

x=2

Step-by-step explanation:

6x=12

divide both sides by 6

Answer:

2

Step-by-step explanation:

m - 5 • n + 5

plug it in

27- 5 * 4+5

well, we gotta follow PEMDAS (there are no parentheses)

5*4

20

now we have

27-20+5

20+5

25

27-25

2

Answer:4.2

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Rotation of 180 clockwise about point O

Answer: rotation symmetry

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than \begin{align*}360^\circ\end{align*} that carries the shape onto itself.

Step-by-step explanation:

Answer:

tan26=f/4 --> f= (tan26)* 4

Step-by-step explanation:

Put (tan26) times 4 into calculator!!!!

SOH, CAH, TOA rules!!

sin(x)=opposite/hypotenuse

cos(x)=adjacent/hypotenuse

tangent(x)=opposite/adjacent

DON'T PUT 90 FOR THE (x) VALUE!!

** (x) here means the angle given to you in the question like 26 in this case.

** opposite and adjacent are the sides according to the angle

**hypotenuse is the opposite side of the right angle

Answer:

a^2

Step-by-step explanation:

1. if the square root of 5n is now just 5n, that means it was squared.

2. You need to square the other side of the equation which was a.

3. so the box should have a squared.