Which expression is the coefficient of the n term -1

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

Here,

Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:

f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57

Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:

f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57

Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).

Mathematically, we want to find P(Y > X + 0.11).

Let's set up the integral to calculate this probability:

P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy

We integrate with respect to x first and then with respect to y:

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy

P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy

P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57

P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]

P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]

P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]

P(Y > X + 0.11) = 3.0805 * [0.84895]

P(Y > X + 0.11) ≈ 2.6092

Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

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Answer:

the anwser is 24 please mark brianliest

Answer:

The answer is 24.

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Step-by-step explanation:

Given

[tex]Capacity = 10yd^3[/tex]

[tex]Dirts = 200m^3[/tex]

[tex]Trucks = 4[/tex]

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

[tex]Each\ Truck = \frac{200m^3}{4}[/tex]

[tex]Each\ Truck = 50m^3[/tex]

Divide the portion of each truck by capacity of each truck to get the number of trip

[tex]Trip = \frac{50m^3}{10yd^3}[/tex]

Convert m^3 to yd^3

[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975}{10}[/tex]

[tex]Trip = 6.53975[/tex]

Approximate:

[tex]Trip = 7[/tex]

Answer:

$905

Step-by-step explanation:

$50×h+55=?

h=17 and you pay so $50×h

so $50×h=850

so now that you calculated the cost of the labor add the $55 dollar service fee

850+55=905

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

i think its B

Step-by-step explanation:

Answer:

i need help with this to

Step-by-step explanation:

the table of values will be values of x and y respectively.

x= -2,0,0,and 3

y= 0,1,-4 and 0.

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

(50×20) - (1×20)

Step-by-step explanation:

there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20

Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.

Answer:

What I do not understand what you are asking, can you repeat it pls.

Step-by-step explanation:

Ants

Step-by-step explanation:

Answer:

59 Degrees!!

Step-by-step explanation:

Answer:

59°

Step-by-step explanation:

180 - (57 + 64) =

180 - 121 = 59

Answer:

1:11

Step-by-step explanation:

4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.

Answer:4:40

Step-by-step explanation:

Complete Question

The  complete question is shown on the first uploaded image

Answer:

a

[tex]\^ p_1 =  0.8102 [/tex]

b

[tex]\^ p_2 =  0.6904 [/tex]

c

[tex]\^ p_3 =  0.3701 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  743

    The number that said social media makes them feel more connected  to what is going on in their friends' lives is  k =  602

   The number that said social  media helps them interact with a more diverse group of people is  y =  513

   The  number that said feel pressure to post content that will get a lot of likes and comments is  c  =  275

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

        [tex]\^ p_1 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_1 =  \frac{602}{743 }[/tex]\

=>      [tex]\^ p_1 =  0.8102 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media helps them interact with a more diverse group of people is mathematically represented as

        [tex]\^ p_2 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_2 =  \frac{513}{743 }[/tex]\

=>      [tex]\^ p_2 =  0.6904 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17   who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

        [tex]\^ p_3 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_3 =  \frac{275}{743 }[/tex]

=>      [tex]\^ p_3 =  0.3701 [/tex]

The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.

The point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:

= Number of teens / Sample size

= 602/743

=™0.8102

The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:

= 513/743

= 0.6904

The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:

= 275/743

= 0.3701

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Answer:

A. From hour 0 to hour 5

Step-by-step explanation:

For all Plato users

Interval of the temperature decreasing is from hour 0 to hour 5.

an interval is defined as a group of numbers which includes all numbers between the beginning and the end.

According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.

So the interval of the temperature decreasing is from hour 0 to hour 5.

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Answer:

C

Step-by-step explanation:

Answer:2.088

Step-by-step explanation:

2.088

Answer:

64 different black jack hands

Step-by-step explanation:

there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.

Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:

possibility of getting 1 ace = 4/52 = 1/13

possibility of getting 1 ten = 16/51

possibility of getting a blackjack = 16 / 663

if you start with the 10 first the odds are the same:

possibility of getting 1 ten = 16/52 = 4/13

possibility of getting 1 ace = 4/51

possibility of getting a blackjack = 16 / 663

Answer

Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

Answer:

89

eighty-nine