Maura is 58 inches tall. Maura's brother Joey is 4 inches taller than she is. How tall is Joey?

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:

x = 20

F = 46

Step-by-step explanation:

For x :

( 20 )  * 2 = 40

40 + 3 = 43

For degrees F

Add triangles have a angle sum of 180

So you just subtract 180 by the angles in the triangle

180 - 91 = 89

89 - 43 = 46

46 is remaining so it is the missing degrees ( F )

Answer: #1) y=5x-73

#2) y= 2/5x - 47/5

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:

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:

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:

-2x - 4

Step-by-step explanation:

Is your expression

-2 x x = -2x

-2 x 2 = 4

therefore, your expression would be:

-2x - 4

Answer:

-2(x + 2)= -2x - 4

Step-by-step explanation:

Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)

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:4.2

Step-by-step explanation:

Answer:

b. 3.3 centimeters

Step-by-step explanation:

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

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:

17 = 3x+8

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:

14m+35 is your answer ☺️☺️☺️

Answer:

14m+35

Step-by-step explanation:

7(2m+5)

7(2m)+7(5)

14m+35

Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]

Distrubute -3 into the parentheses

[tex]-12x+12=-15x-24[/tex]

Subtract both sides by 12

[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]

Add 15x to both sides

[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

[tex]10=16x+2[/tex]

Subtract both sides by 2

[tex]10-2=16x+2-2\\8=16x[/tex]

Divide both sides by 16

[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]

I 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

Answers:

9) 16/100 = 8/50 = 4/25

10) >

Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           [tex]a-(-b)=a+b[/tex]

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            [tex]7+3=7-(-3)[/tex]

Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Learn more about the difference of number here:

https://brainly.com/question/18591813

Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas

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:

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:=−3

Step-by-step explanation:

+10=7

+10−10=7−10

Answer: i think its b

Step-by-step explanation: