If you know how to do math 30 probability please help answer this questionthree events, A, B, C are all equally. If there are no other possible events which of the following statements is true?

a) P(A) = 0

b) P(B) = 1

c) P(C) = 1/3

d) P(D) = 1/2

Answers

Answer 1
Answer:

Answer: c) P(C) = 1/3

Step-by-step explanation:

P(A) + P(B) + P(C) = 1     (100%)

P(A) = P(B) =P(C)

Using substitution:

P(C) + P(C) + P(C) = 1

                 3 P(C) = 1

                    P(C) = 1/3  


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According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 centimeters and a standard deviation of 1.4 centimeters. In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

What the volume of the figure

Answers

Answer:

1,530

Step-by-step explanation:

box 1 (left one): 10*9*9=810

box 2 (right one): 18*4*10=720

720+810=1,530

Answer:

1530 cm^3

Step-by-step explanation:

They are two Rectangular Prism.

prism 1.

length l = 18 cm

width w = 10 cm

height h = 4 cm

diagonal d = 20.976177 cm

total surface area S_tot = 584 cm^2

lateral surface area S_lat = 224 cm^2

top surface area St_op = 180 cm2

bottom surface area S_bot = 180 cm^2

volume V = 720 cm^3

Prism 2.

length l = 10 cm

width w = 9 cm

height h = 9 cm

diagonal d = 16.1864141 cm

total surface area S_tot = 522 cm^2

lateral surface area S_lat = 342 cm^2

top surface area Stop = 90 cm^2

bottom surface area Sbot = 90 cm^2

volume V = 810 cm^3

Add 720 cm^3+810 cm^3 = 1530 cm^3

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formula: Volume of Rectangular Prism:  V = lwh

A certain social site has grown rapidly, Accerding to one repart, about 6 million users were added each day, How many users were added, on average, each second? (Round your answer to the nearest integer.) users/second elook

Answers

Answer:

69 users.

Step-by-step explanation:

First, we need to calculate the amount of seconds in one day.

a) Each hour has 60 minutes and each minute has 60 seconds.

Therefore, one hour has (60)(60) = 3600 seconds.

b) Since the day has 24 hours, we are going to multiply the total amount of seconds per hour by 24.

3600 (24) = 86400 seconds per day.

c) Now that we have the amount of seconds per day, we are going to divide the total amount of users added each day by the amount of seconds per day.

6000000/86400 = 69.44 users per second.

Therefore, 69 users are added, on average, each second.

3 times the sum of one third of a number and 8 is 11

Answers

Answer:

3((1)/(3)x+8)=11

Step-by-step explanation:

It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.

There are 200 students in the grade. 45% of the student are taking a music class. How many students are taking music class.Please help me.

Answers

Answer:

Step-by-step explanation:

You need only take 45% of 200

Music = 45/100 * 200

Music = 9000/100

Music = 90

So of a grade of 200, there are 90 who take music.

PLEASE HELP!!!Aidan is 5.5 ft tall and casts a shadow that is 9 ft long. He notices that a nearby tower casts a shadow that is 305 ft long.
What is the height of the tower (h)?

Answers

The height of the tower (h) is approximately 186.4 feet.

What is the height (h) of the tower?

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the quesion;

  • Aidan's height = 5.5ft
  • length of Aidan's shadow = 9ft
  • height of the tower = ?
  • length of the tower's shadow = 305ft

We can set up a proportion to solve for the height of the tower:

Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow

Plugging in the values we know, we get:

5.5 / 9 = h / 305

To solve for h, we can cross-multiply and simplify:

9h = 5.5 × 305

9h = 1667.5

h = 1667.5 / 9

h = 186.4 ft

Therefore, the value of h is 186.4 feet.

Learn more about ratio here: brainly.com/question/30061012

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) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Answers

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

a

 n \approx  4  

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is p =0.65

 Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

     P(X \ge 1 ) =  0.98

=>   P(X \ge  1 ) =  1 - P(X < 1) =  0.98

=>   P(X =  0) =  1 -  0.98     Note P(X <  1) = P(X = 0)

=>   P(X =  0) =  1 -  0.98

=>   P(X =  0) =  0.02

Generally from binomial probability distribution function

     P(X =  0) =  ^nC_0 *  p^(0) * (1- p)^(n- 0)

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So  

     P(X =  1) =  1 *  1* (1- 0.65)^(n- 0) = 0.02

=>  (1- 0.65)^(n- 1) = 0.02

taking log of both sides

     log [(0.35)^(n- 1) ] = log (0.02)

=>  {n- 1}log[0.35] = -1.699

=>  {n- 1}*  -0.4559 = -1.699

=>  n= 3.7264 + 1

=>  n= 4.7264

=>  n \approx  4  

Gnerally the expected number of stations that will detect an enemy plane is  

    E(X) =  7 *  0.65

=> E(X)  \approx4.5