As a result of aerobic respiration, the composition of the air that is breathed in and the air that is breathed out changes

Answer:

(a) The probability that more than three arrive in one hour is approximately 0.018988

(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264

(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours

Step-by-step explanation:

The distribution of the arrival time of a small aircraft = Exponential distribution

The mean arrival time, μ = 1 hour

The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)

The mean, μ = 1/λ

∴ 1 = 1/λ

λ = 1 hour

∴ For the exponential distribution, f(x) = 1·e^(-x)

(a) The Poisson probability is given as follows;

[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]

The probability for more than 3 is given as follows;

[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]

(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264

(c) When the probability that no arrival occurs is 0.1, we have;

0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)

-x·ln(e) = ln(0.1)

∴ x = -㏑(0.1) ≈ 2.30259

The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.

Answer: this is your answer 4523.9

Step-by-step explanation:

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

The simplified form of the complex expression is -2 + 4i.

Complex numbers are numbers which are of the form [tex]a+ib[/tex],

where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.

Given expression is (2 + 3i) + (-4 + i).

Addition of complex numbers is defined as,

(a + ib) + (a' + ib') = (a + a') + i(b + b')

Using the definition of addition of complex numbers, given expression can be added as,

(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i

Hence the resulting value is -2 + 4i.

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Answer:

esarespuesta  ad 56

Step-by-step explanation:

[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]

Answer:

0.7921%

Step-by-step explanation:

89/100×89/100

Answer:

Step-by-step explanation:

Answer:

answer is 7

Step-by-step explanation:

one point is at (1,3) and the other at (0,-4)

to get slope y2-y1 / x2-x1

so -4-3 / 0-1

-7/-1

so answer is 7

Answer: 350km

Step-by-step explanation:

Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:

= 5 × 70km

= 350km

Therefore, the answer is 350km

Answer:

Its A

Step-by-step explanation:

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

$50

Step-by-step explanation:

Given data

Let the total purchase be x

Hence 30% of x is $15

Let us find the value of x

30/100*x= 15

0.3*x=15

0.3x=15

x= 15/0.3

x= $50

Hence the purchase is $50

Answer:

$50 is the total

Step-by-step explanation:

30% over 100% =  15 over x

then you cross multiply and get:

30x = 1500

you then divide both sides by 30

30 and 30 cross out

1500 ÷ 30 = $50

number 1 is the answer circle FA

Answer:

69824.21

¯\_(ツ)_/¯

＼＼ Λ＿Λ This is Memecat. Help

＼( 'ㅅ' ) memecat take over

> ⌒ヽBRAINLY by pasting her

/ へ＼ in 999 other servers

/ / ＼＼ or she will never

ﾚ ノ ヽつ be a meme

/ /

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(=✪ᆽ✪=)

o(*≧□≦)o

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

x/12=5/3-1/3

x/12=4/3

3x=12×4

3x=48

x=16

Answer is in the picture attached

Answer:

4

Step-by-step explanation:

Answer:

this don't make any sense bro

Step-by-step explanation:

what is the number in between 2 3

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

we have,

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

⟼ for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

⟼ $ 61•23

∴ maddy cost $ 61•23 for buys both.

Answer:

I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.

Step-by-step explanation:

Meaning...

shift ∠U 2 blocks to the left on the x-axis

shift ∠V 2 blocks vertically (up) on the y-axis

shift ∠W 2 blocks diagonally to the right

I really hope this helps! I pray this is correct for your sake!

Answer:

It’s B, C, D

Step-by-step explanation:

There are 4 presses we need.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.

And, Each screen press can handle 500 shirts per day.

Now,

Since, In a month there are 30 days.

And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.

Hence, Number of shirts need to press per day = 60,000 / 30

                                                                          = 2,000

Since, Each screen press can handle 500 shirts per day.

Hence, Number of press for 2,000 shirts = 2,000 / 500

                                                                = 4

Thus, There are 4 presses we need.

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Answer:

D

Step-by-step explanation:

Answer:

$613.6

Step-by-step explanation:

Given data

Monthly income = $550

Plus commision =4% of sales

Sale for the month= $590

Let us find the commission earned

4/100*590

=0.04*590

=$23.6

Hence the net income for that month is

=23.6 +590

= $613.6

Answer:

15%

Step-by-step explanation:

Answer and Step-by-step explanation:

1.

c(1) = -0.6

c(n) = c(n - 1) × -5

Those are the answers.

#teamtrees #PAW (Plant And Water)

The answer would be D.) 29.8 units

Hope this helps have a great day :)

Answer:

C.) 87 years

Step-by-step explanation:

I've taken the test! Hope this helps! ;)

The number of years for her to have at least $100,000 if interest is compounded continuously is 90

The given parameters are:

Amount, A = 100,000

Principal, P = 100

Rate, r = 8%

Amount is calculated using:

A = P * (1 + r)^t

So, we have:

100000 = 100 * (1 + 8%)^t

Divide by 100

1000 = (1 + 8%)^t

Evaluate the sum

1000 = 1.08^t

Take the logarithm of both sides

log(1000) = log(1.08)^t

Apply the law of logarithm

log(1000) = tlog(1.08)

Solve for t

t = log(1000)/log(1.08)

Divide

t = 89.7

Approximate

t = 90

Hence, the number of years is 90

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Answer:

1 row = 205plants

9*205=1845plants

Therfore 1845 plants are there in 9 rows of tomato.

Step-by-step explanation:

Please mark as brainliest.

Answer:

|8|a + |35|     or      = |-8|a+|-35_|

Step-by-step explanation:

8(a+5)=8•a+8•5

         =8a+35

         = |8|a + |35|     or      = |-8|a+|-35_|

Answer:

b and d are the answers!

Step-by-step explanation: