Please help me, thank you!

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

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:

Step-by-step explanation:

a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.

then m = -1/3 for our perpendicular line

y - 1 = -1/3(x -6)

y -1 = -1/3x + 2

y = -1/3x +3

there you go  :)

Answer: 0.79

Step-by-step explanation: for example 79 is less than 80.

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

Answer:

41

Step-by-step explanation:

Usando BODMAS, entonces que tenemos

(2 + 4 * 3) =

(2 + 12) =

14

Con el segundo uno, tenemos

(3 * 2 - 2 * 2). Con esto, dices que

(3 * 2) - (2 * 2) =

6 - 4 =

2

Y ahora, decimos que

3 * (14) - 2(2) + 5 - 2 =

42 - 4 + 3 =

42 - 1 = 41

Nos respuesta a la pregunta es 41. Espero que tú entiendas

Answer: The area is 81.25 m²

Answer:

Im pretty sure its  y= 5x-9

Step-by-step explanation:

Hope this helps! Have an Amazing day!!

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

Answer:

17 1/2

Step-by-step explanation:

multiply 3 1/2 times 5.

Answer:

17.5

Step-by-step explanation:

3.5 x 5

Answer:

x=12

Step-by-step explanation:

5(x−7)=25

Divide both sides by 5.

x−7=25/5

Divide 25 by 5 to get 5.

x−7=5

Add 7 to both sides.

x=5+7

Add 5 and 7 to get 12.

x=12

Answer:

x = 12

Step-by-step explanation:

5(x-7) = 25 (distribute)

5x-35 =25 (add 35 on both sides)

5x = 60 (divide)

x = 12

Answer:

x<3/4

Step-by-step explanation:

8x<6

x<6/8

x<3/4

I hope this helps

Answer:

x = 3/4

Step-by-step explanation:

Answer: m = 1/2 or 0.5

Step-by-step explanation:

The order of operation within this problem is multiplication meaning we must divide instead.

2m = 1

2m/2 = 1/2

m = 1/2 or 0.5

Answer: 11:00

Step-by-step explanation:

Answer: 11:00

Step-by-step explanation:

Hope it helps you! ........

Answer: B) 2(x+4)

Step-by-step explanation: Hope this help :D

Answer: disagree with both.

Step-by-step explanation:

I don’t have a good Explanation, but that is the correct answer.

Answer:

Step-by-step explanation:

I believe the first question is 1.9

second: 48.2

sorry didn't understand the third one :(

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

[tex]30=\frac{1}{2}(8+b_2)3[/tex]

[tex]60=3(8+b_2)[/tex]

[tex]20=8+b_2[/tex]

[tex]b_2=12[/tex]

Therefore, length of the second base will be 12 meters.

Answer:

Solution is correct till finding the roots:

Then Seth should find the respective y- points using either equation:

and

Correct solution is:

Answer:

Seth's answer is incorrect.

Step-by-step explanation:

He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7

So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)

Answer:

W = 7

Step-by-step explanation:

Answer:

V = 167.55 inches^3

Step-by-step explanation:

[tex]v = \frac{1}{3} \pi {r}^{2} \times h \\ v = \frac{1}{3} (3.14) \times ( {4})^{2} \times (10) \\ v = 167.55 \: \: \: {inches}^{3} [/tex]

I hope that is useful for :)

Answer:

24a²b

Step-by-step explanation:

Answer:

24a^2b

Step-by-step explanation:

3a*2a*4b

6a^2*4b

24a^2b

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

Answer:

300.57 m

Step-by-step explanation: