Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by these machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is 1 ounce. Experiments are conducted using both machines with sample sizes of 36 each. The sample averages for machines A and B are 4.5 ounces and 4.7 ounces respectively. Engineers are surprised that the two sample averages for the filling machines are so different. a. Use the CLT to determine the distribution of �$! − �$ ". b. What is �(�$! − �$ " ≥ 0.2)?

Answer:

ANSWER IS A I THINK

Step-by-step explanation:

Answer:

x=1/15

Step-by-step explanation:

SOLVE:

1 (divide) 2 7/9 = x+ 4 2/5x

1 (divide) 25/9 = x + 4 2/5x

1 * 9/25 + 5 2/5x

9/25 = 5 2/5x

divide both sides by 5 2/5 or you can multiply by the reciprocal

5 2/5x = 27/5x

then once you do that you get x= 1/15

CHECK ANSWER:

Insert 1/15 instead of x

1 (divide) 2 7/9 = (1/15) + 4 2/5 (1/15)

9/25 = 9/25 Yes it is a true statement.

ANSWER:

x= 1/15

Answer:

Step-by-step explanation:

We need to calculate the speed of Jasmine first as shown:

Speed = Distance/Time

Given:

Distance = 12miles

Time = 20mins

Time = 20/60 hr

Time = 1/3 hr

Speed = 12/(1/3)

Speed = 12 * 3/1

Speed = 38mi/hr

From the formula:

S = d/t

To get the equation needed, substitute s = 36 into the formula:

36 = d/t

d = 36t

Hence the required equation is d = 36t where d is the distance in miles and time in hour

Answer:

36

Step-by-step explanation:

Answer:

ava ran the fastest

Step-by-step explanation:

Answer: The y intercept would be different

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

-3+-2=-5

this is the answer

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Answer:

[tex]Probability = \frac{27}{80}[/tex]

Step-by-step explanation:

Given

[tex]Blue =9[/tex]

[tex]Yellow = 7[/tex]

Required

Determine the probability that one of the balls is blue while others is yellow

The order of selection may be any of these three:

Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow

Solving Yellow, Yellow, Blue

[tex]Probability = P(Y_1) * P(Y_2) * P(B)[/tex]

[tex]Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}[/tex]

[tex]Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Yellow, Blue, Yellow

[tex]Probability = P(Y_1) * P(B) * P(Y_2)[/tex]

[tex]Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Blue, Yellow, Yellow

[tex]Probability = P(B) *P(Y_1) * P(Y_2)[/tex]

[tex]Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Hence:

The required probability is:

[tex]Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}[/tex]

[tex]Probability = \frac{27}{80}[/tex]

Answer:

There are six possible committees if only men are chosen

Step-by-step explanation:

Here, we want to find the number of possible committees if only men are chosen

In this case, what will happen is that we shall be selecting the 5 people from the available 6 men

Mathematically, we can have this in 6C5 ways

which is read as 6 combination 5 ways

And that will be 6 ways

So there are six possible committees if only men are selected

Answer:27.5

hope it helped can I have brainliest?

Step-by-step explanation:

Answer:

AUB=2,4,6,8,10 & AnB=1,3,5,7,9

Answer:

70m

Step-by-step explanation:

The ratio from 25 and 50 is 1/2 so 35x2 is 70m. This is equivalent to the given ratio.

Answer:

x<6/7

Step-by-step explanation:

7x/3 < 2

Multiply both sides by 3,

7x < 6

Divide both sides by 7,

x < 6/7

Answer:

x>6/7

Step-by-step explanation:

7x/3>2

Answer:

14.92

Step-by-step explanation:

8.27+6.65=14.92

Brainliest?

Answer:

8.27+6.65=14.92

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

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: $25.38

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Answer:

$63.84

Step-by-step explanation:

If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.

Answer:

6 ,16

Step-by-step explanation:

he doubled it

Answer:

The probability will be "0.205".

Step-by-step explanation:

The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:

⇒  [tex]P(X>9.5)[/tex]

⇒  [tex]1-P(X<9.5)[/tex]

⇒  [tex]1-(1-exp(\frac{-9.5}{6} ))[/tex]

⇒  [tex]0.205[/tex]

Answer:

1.954

so 4 is in the thousandths

Step-by-step explanation:

The question is wrong bro.

Answer:

5.25 litres.

Step-by-step explanation:

6 bottles * 3.5 litres = 21 litres of juice total.

21 / 4 = 5.25 litres per person.

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7

Answer:

The answer would be 6/18 or 3/9

Step-by-step explanation:

Answer:

if dividing...0.3

if multiplying...0

Step-by-step explanation: