3.(8 points)Consider the following experiment:Experiment: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3yellow balls. Two balls are drawn from the bag without replacing the ballafter the first draw.(a)(2 points)Specify the sample space (set of outcomes) and probability distributionof the outcomes.(b)(3 points)If you draw two balls from the bag without replacing them, what isthe probability of drawing two red balls

This question is incomplete, the complete question is;

Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.

A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.

Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.

Answer:

value of the test statistic is 4.13

Step-by-step explanation:

Given the data in the question;

fewer than 500 passengers                           more than 500 passengers

n₁ = 37                                                               n₂ = 44

x'₁ = 85.36                                                         x'₂ = 81.40

s₁ = 4.55                                                            s₂ = 3.97

Now, to get the test statistics, we use the following formula;

z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )

we substitute

z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )

z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )

z = 3.96 / √( 0.5595 + 0.3582 )

z = 3.96 / √0.9177

z = 3.96 / 0.957966596

z = 4.1337 ≈ 4.13

Therefore, value of the test statistic is 4.13

Answer:

X=15

Step-by-step explanation:

line segment with length 18 is tangent and other one is secant so

[tex] {18}^{2} = 12(12 + x) \\ 324 = 144 + 12x \\ 324 - 144 = 12x \\ 180 = 12x \\ x = 180 \div 12 \\ x = 15[/tex]

Answer:

Step-by-step explanation:

3x+y+z= 4

3x+ y = 4 - z

y = 4-z-3x

We then make parallel

y-2 = 4−z−3x

y-2 = 4-2 -z-3x

y-2 = 2-z-3x

y = -z-3x+2

Answer:

All triangles add to 180 degrees.  

180 = 90 + 40 + angle ABX

angle ABX = 180 - 90 - 40

Angle y = 50

Step-by-step explanation:

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Step-by-step explanation:

Formula for margin of error : [tex]E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}[/tex]

, where z* = Critical z-value.

Given: population standard deviation = 11.5 ounces

Sample size = 20

Z value for 90% confidence level = 1.645

margin of error (E) = [tex]\dfrac{1.645\times11.5}{\sqrt{20}}[/tex]

[tex]\approx4.23[/tex]

Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Answer:

Step-by-step explanation:

without tax and insurance deduction- 3,250 (monthly)

with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)

Answer:

25 units

Step-by-step explanation:

use the distance formula to get the square root of 24² + 7²

this will give you the square root of 625, which is 25

Answer:

2x+30=x+80 (corresponding angles)

2x-x=80-30

x=50

Answer:

14) 9:15 pm

15) 6hrs 30min

Step-by-step explanation:

Hope this helps

Answer:

1. 6 hours 30 mins

2. 8: 15 PM

Step-by-step explanation:

1. To figure this out, we need to find the number of hours between 2 AM and 8 AM. Hence, 8-2 which is 6.

Now we need to find the time between 8 AM and 8:30 AM, which is 30 minutes.

Put them together and you get 6 hours and 30 mins.

2. For this one, we need to go 9 hours back from 6 AM, which is 9 PM. From 9 PM, we need to go back another 3/4 of an hour.

1 hour = 60 minutes

1/4 hour = 15 minutes

1/2 hour = 30 minutes

3/4 hour = 45 minutes

Since 3/4 of an hour is euqal to 45 minutes, we need to go back 45 minutes from 9 PM which is 8:15 PM.

Hope This Helps!

Answer:

c

Step-by-step explanation:

The graph starts at 100 and decreases as it goes the following situations that were listed should be somewhat implying that something is decreasing. Since a and b are GAINING something then it can't be that because it is increasing, so we are left with choice c.

hope this helps!

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]

So, the investment after 5 years is $ 662.45.

Answer:

a = 5x

Step-by-step explanation:

The value of an in terms of x will be a = 5x.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are  25x² – 35x – 18 is written as a² – 7a – 18.

The value of an in terms of x will be calculated as:-

25x² – 35x – 18

a² – 7a – 18.

Compare the first term of the two equations,

25x² = a²

a = √25x²

a = 5x

To know more about an expression follow

https://brainly.com/question/20724072

#SPJ2

Answer:

x(x2-25)=o

x=0;x=5 and -5

Answer:

[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]

the answer is 4,13 of the perimeter

Answer:

C

Step-by-step explanation:

Have a nice day :)

when you can plz give me brainllest

Answer: A

Step-by-step explanation:

Area of a triangle is base times height

We have a base made by point m and n with a length of 6

now the third point has to form a height which when put with the base, gets you 18

area of triangle is bh/2

so lets set height as h, 6x/2 = 18 6x = 36 x = 6

This means the point has to be 6 apart either left or right. Only point that matches this is a.

36450

Step-by-step explanation:

6(9)(3(9) -2)

54(27-2)

1458(25)

36450

Answer:

1350

Step-by-step explanation:

p = 9

Answer:

2 x 2

Explanation:

The prime numbers that multiply to 4 are 2 and 2.

Answer:

[tex]y = {(x + 8)}^{3} - 9[/tex]

Answer:

240 ft²

Step-by-step explanation:

The shape is composed of a rectangle and a triangle.

The area of the shape = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = base of triangle = 24 ft

h = height of triangle = 12 - 8 = 4 ft

L = length of rectangle = 24 ft

W = width of rectangle = 8 ft

Plug in the values into the equation

Area of the shape = ½*24*4 + 24*8

= 48 + 192

= 240 ft²

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, firstly we calculating the [tex]\bar{x} \ \ and \ \ s[/tex]

[tex]\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\[/tex]

[tex]H_0 : u \leq 10\\\\ H_1 : u > 10[/tex]

It is an upper test  and testing the statistics:

[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\[/tex]

So, the test statistics [tex]t=2.25[/tex]

[tex]\alpha=0.05 \\\\ d.f = n-1\\\\[/tex]

     [tex]=9-1\\\\=8[/tex]

critical value =2.306 ( using t-table ) [tex]critical\ value >\ test\ statistics , \ Fail\ to\ Reject\ H_0[/tex]

Decision: We should not reject the null hypothesis.

Answer:

correct

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

16 sweaters

Step-by-step explanation:

4=10

4=10

4=10

4=10

4x4=16

Answer:

slope of red line=6

Step-by-step explanation:

Hi there!

We're given a set of perpendicular lines and the slope of the green line being -1/6

Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1

So to find the slope of the red line, we can use this formula (m is the slope):

-1/6m=-1

Multiply both sides by -6 (clears the fraction to get 1m on the left)

m=6

So the slope of the red line is 6

Hope this helps!

Answer:

Gift card

Step-by-step explanation:

Given

Function 1 and 2

Required

Which has a negative slope

For the first function (Gift card), we have the following observation.

As x increases from 0, 1, 2 and then 3

The values of y keep reducing

This means that the gift card function has a negative slope

For the second function (calculator rental)

We have:

[tex]c = 10 + 5m[/tex]

The slope of function [tex]y =mx + b[/tex] is m

So, by comparison

[tex]m=5[/tex]

5 is positive,

This means that the gift card function has a negative slope