write a general formula to describe the variation: S varies jointly with the inverse of the square of P and the inverse of the cube of L; S=4 when P=2 and L=5

Answer:

AB= 9.19 km (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

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:

9 pounds

Step-by-step explanation:

I converted it

Answer:

B. 50%

Step-by-step explanation:

it's half and half

Step-by-step explanation:

C≈3.54

Using the formulas

A=πr2

C=2πr

Solving for C

C=2πA=2·π·1≈3.54491

Answer:

B (second one)

Step-by-step explanation:

2 x 2 = 4

4 x 1.5 or 1 1/2= 6

hope this helps

Answer:

1 1/2, 2 ,2,

also known as the second option

Step-by-step explanation:

Answer:=−3

Step-by-step explanation:

+10=7

+10−10=7−10

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:

Hey mate....

Step-by-step explanation:

This is ur answer.....

12 degrees below 0 means -12 Degrees

hope it helps you,

Follow me!

Answer:

d=-1

Step-by-step explanation:

10(1+3d)= -20

divide both sides by 10

1+3d=-2

move the costant to the right, change the sign

3d=-2-1

caclulate

3d=-3

divide both sides by 3

d=-1

Answer:

8.25

Step-by-step explanation:

A=a+b

2h=6+5

2·1.5=8.25ft²

Answer:

8.25 ft²

Step-by-step explanation:

According to the formula in the image, we would get 8.25

A = 5 + 6

2 × 1.5 = 6 + 5

8.25ft²

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:

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:

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:

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

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:

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

Answer:

b. 3.3 centimeters

Step-by-step explanation:

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

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:

[tex] f(-1) =\boxed{-11}\\ f(0) =\boxed{-4}\\f(2) =\boxed{14}[/tex]

Step-by-step explanation:

[tex]f(x)=\begin{cases} 9x -2 \:\: x < 0\\ 9x-4 \:\: x \geq 0\end{cases}\\\\\because \; -1 \: is \: less\: than \: zero\\\therefore f(-1) \: lies \: in \: the \: interval\: x<0\\\\f(-1) = 9(-1) -2 = -9-2 = -11\\f(-1)=\boxed{-11}\\\\Similarly,\: f(0) \:\&\: f(2)\: lies \: in \: the \: interval\: x\geq 0\\\\f(0) = 9x-4 = 9(0) - 4 = 0-4 = -4\\f(0) = \boxed{-4}\\\\f(2)=9x-4 = 9(2)-4 = 18-4 = 14\\\\f(2)=\boxed{14}[/tex]

Answer:

A

Step-by-step explanation:

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

Answer:

1.3

Step-by-step explanation:

Answer:

b, d, and e

Step-by-step explanation:

those are the three answers

Answer:

I would say b d and e to

Step-by-step explanation:

hope that 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:

17 = 3x+8

Step-by-step explanation:

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:4.2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

6x=12

divide both sides by 6

Answer:

22 miles in 11 hours!

Step-by-step explanation:

We already know a ghost crab can travel 12 miles in 6 hours.

Now, we just need to find the how many miles per hour the crab walks.

We simply divide 12 miles by 6 hours which gives us 2 miles in 1 hour.

That means, we multiply 11 by 2 which gives us 22 miles!

The ghost crab can travel 22 miles in 11 hours. When you find the rate of change by dividing 12 by 6, it gives you 2 m/h. That enables you to find the amount of miles by multiplying 11 hours by two which gives you 22!