students at Freeman Middle School have a choice of water milk or juice for breakfast from a survey it was determined that 50 students prefer water 100 prefer juice and 150 prefer milk. you want to know the probability that exactly 3 of 4 randomly selected students do not prefer water how could you model the scenario? This scenario can be simulated by Rolling a six-sided die (A 3 B 4 C 5 D 6 E 7 times). The (A numbers 0 to 3 B numbers 0 to 6 C number 1 D numbers 7 to 9 ) would represent students who prefer water if a number (A 0 to 3 B 0 to 6 C 1 D 7 to 9) appears only once in a set of outcomes then it will mean that three of four randomly picked students do not prefer water in that set .​

Answers

Answer 1

Answer:

The probability that exactly three of four randomly selected students that do not prefer water is; P=125/1296= 0.096

Step-by-step explanation:

Hope this helps

Answer 2

The required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

Given that,
Students at Freeman Middle School have a choice of water milk or juice for breakfast.
From a survey, it was determined that 50 students prefer water 100 prefer juice, and 150 prefer milk.


What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

the probability that selected students to prefer water.
Total sample space = 300
Total desired events = 50
Pw = 50 / 300 = 1/6

the probability that selected students do not prefer water
Total sample space  = 300
Total desired events = 100+150 = 250

Pmj = (250)/300
     = 5/6


The probability for exactly 3 of 4 randomly selected students do not prefer water can be given as,

Preq =  Pmj.Pmj.Pmj.Pw

Preq = (5/6)^3 × 1/6

Preq= 125/1296
  = 0.096

Thus, the required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

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Related Questions

The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.

Answers

Answer:

RS=3

Step-by-step explanation:

Solve for x:

6x+3x+x=10

All parts add up to whole

10x=10

Combine like terms

x=1

Use x to solve for segment lengths:

QR=6x=6(1)=6

RS=3x=3(1)=3

ST=x=1

Therefore RS=3

The length of the line segment RS will be 16 units.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let Q, R, S, and T be the collinear points. Then the condition of the collinear will be

QR + RS + ST = QT

The points Q, R, S, and T all lie on the same line segment, in that order, such that the ratio of QR:RS: ST is equal to 1:4:5. If QT = 40.

Let QR / 1 = RS / 4 = ST / 5 = x

QR = x

RS = 4x

ST = 5x

Then the value of the variable x will be

QR + RS + ST = QT

x + 4x + 5x = 40

10x = 40

x = 4

Then the length of the line segment RS will be

RS = 4x

RS = 4 (4)

RS = 16

Then the length of the line segment RS will be 16 units.

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at a local coffee shop, about 20% of the customers who buy coffee also buy a pastry. if they have 300 customers buying coffee about how many pastries should they expect to sell?

Answers

Answer:

60

Step-by-step explanation:

We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.

Answers

Answer:

An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

Step-by-step explanation:

We know that :

[tex]a_x=\frac{dv_x}{dt}[/tex]

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]

So, We will use chain rule over here :

[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]

Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]

Chain rule:

Here we used the chain rule:

It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).

So,

[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]

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6 is added to three-fifths of p

Answers

Answer:

Is that the question? I don't think it is

I’m confused ? Is that the question ?

3.99 x 10^-2 - 1.5 10^-3


put it in scientific notation

Answers

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

What is an expression?

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 expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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What is the least common denominator of 3/5 and 2/15?

Answers

Answer:

15

Step-by-step explanation:

3/5 = 9/15

2/15 = 2/15

The least common denominator of 3/5 and 2/15 is 15

The least common denominator is the least product value of the given fractions

To do that, we will find the greatest value between the denominators of each fraction

Given the fractions 3/5 and 2/15, we can see that the two integers at the nominator are 5 and 15.

Since 5 can go in 15 without remainder, we do not need to multiply both integers again. The least common denominator will be the greatest value between 5 and 15 and that is 15.

Hence the least common denominator of 3/5 and 2/15 is 15

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Find the factors of each number.
2. 20
1. 14
Identify the first five multiples for each number.
4. 3
3. 2
6. 5
5. 6
8. 7
7. 8

Answers

they are listed very weirdly so i will go according to your numbering system
2- 1, 20, 2, 10, 4, &5
1- 1, 14, 2, 7

4- 3,6,9,12,15
3- 2,4,6,8,10
6-5,10,15,20,25
5- 6,12,18,24,30
8- 7,14,21,28,35
7- 8,16,24,32,40

Two side of a triangle have the following measures. Find the range of possible measures for the third side.

8, 9



_______ < x < _______

Answers

Answer:

8<x<9

Step-by-step explanation

3x + 6 = y

solve for x

Answers

Answer:

x=1/3y - 2

Step-by-step explanation:

playstation or xbox be smart​

Answers

Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.

I have played both btw

Any arguments in the comment section

Answer:

Depends

Step-by-step explanation:

If you want better exclusives get a playstation.

UI the playstation UI is better because it is simple.

Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.

The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy.

For each of the following classify the variable as explanatory, response, or neither.

a. Whether the student attended a workshop.
b. Number of workshops attended
c. Whether the student passes the course

Answers

Answer:

a. Whether the student attended a workshop.   Neither

b. Number of workshops attended.  Explanatory variable

c. Whether the student passes the course. Response variable

Step-by-step explanation:

In a given experiment, the response variable addresses the core of the question that was asked. In the experiment above, we are trying to determine the passing rate. That is the response variable. The explanatory variable provides an explanation for the response.

The number of workshops attended by the students would provide an explanation of their passing rates.  Whether the student attended a workshop is not a consideration in the experiment, because it is believed that they would attend the workshop.

Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar

Answers

Answer:

25

Step-by-step explanation:

help me pleeeaseeee​

Answers

Answer:

-2

Step-by-step explanation:

F(4) for the function f(x)=2x+5

Answers

Answer:

= 13

Step-by-step explanation:

Use direct substitution:

2(4)+5 = 13

Calvin is starting a new job this summer. He has created a table to represent his earnings, which are dependent on the number of hours he works. Write an equation to represent y, Calvin’s total earnings based on x the number of hours he works. * PLEASE HELPPP!!!!!!

Answers

Answer:

I think its 232.5

Step-by-step explanation:

Divide 3 by one then multiply that by 15.

Answer:

how much does he make in a hour

Step-by-step explanation:

I need help with homework in GoMath, 5th Grade, Lesson 2.5

Answers

Can you show a photo of the lesson you need help with

The graph of a linear function is given below.

What is the zero of the function
A. -5
B.2/5
C.2
D.5/2

Answers

Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

Find the measure of the indicated angle.
14
?
29

Answers

Answer:

15

Step-by-step explanation:

I guess it is 29-14 which obviously is 15 as we know

let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

angles 2 and angle 7 are ??? angles​

Answers

Answer:

D alternate exterior angle

Step-by-step explanation:

Answer:

vertical angles

vertical angles are congruent angles located diagonally opposite each other.

solve for n: 10/60 =n/84

Answers

Answer:

n=14

Step-by-step explanation:

Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold

Answers

Answer: 21 cupcakes and 33 cookies were sold.

Step-by-step explanation:

Let x= Number of cupcakes

y = Number of cookies

As per given,

x+y= 54       (i)

Cost: 2.25x+0.25y=55.50          (ii)

Multiply 0.25 to (i0, we get

0.25x+0.25y = 0.25(54)

⇒0.25x+0.25y = 13.5         (iii)

subtract (iii) from (ii), we get

2x=42

Divide both sides by 2, we get x= 21

Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33

Hence, 21 cupcakes and 33 cookies were sold.

what is 1555 times 67

Answers

Answer:

104185

Step-by-step explanation:

Answer:

104,185

Step-by-step explanation:

An insurance policy sells for $800. Based on past data, an average of 1 in 50
policyholders will file an $8,000 claim, an average of 1 in 100 policyholders will file
a $20,000 claim, and an average of 1 in 250 policyholders will file a $50,000 claim. Find
the expected value to the company per policy sold.

Answers

Answer: i needed this question too!

Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did Keith start with?
please help!!!

Answers

Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30  

         *2    *2

x + 8 = 60

   -8     -8

x = 52

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use.

Required:
Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.

Answers

Answer:

There are 720 possible sequences of assembly that must be tested.

Step-by-step explanation:

We are given that;

No. of wires needed to be attached to a circuit board = 6

We want to find the number of possible sequences of the assembly that must be tested.

From multiplication rule of counting;

Number of possible sequences of the assembly = 6!

1st selection of wire = 6 possible choices

2nd selection of wire = 5 possible choices

3rd selection of wire = 4 possible choices

4th selection of wire = 3 possible choices

5th selection of wire = 2 possible choices

6h selection of wire = 1 possible choice

Thus,

number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, there are 720 possible sequences of assembly that must be tested.

Help my daughter please k gtg

Answers

Answer:

5.7, 4.6, 5.6, 6.7

Step-by-step explanation:

Answer:

2.63+3.07= 5.7

9.4-4.8= 4.6

3.92+1.68= 5.6

8.5-1.8= 6.7

4z-10=14 *
I can’t get the answer please help

Answers

Answer:

z = 6

Step-by-step explanation:

4z - 10 = 14

    + 10   +10

4z = 24

24 ÷ 4 = 6

n = 6

Is this relation a function? Justify your answer.

Please help me!! 5:45pm est! Answer as soon as you can!

Answers

Answer:

D

Step-by-step explanation:

complete the pattern 444 4440 44,400 444,000 ______ _______ what goes on does 2 spots

Answers

Answer:

4440,000 and 44.400,000

Step-by-step explanation:

All you do is add another zero to the end

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