Mathematics High School

Question 6
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal,
with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?

Answers

Answer 1

Answer:

D. 246 grams

Step-by-step explanation:

invnorm(.95, 240, 3) is around 244 and the question is asking for the least weight of a bag in the top 95%, so the smallest number within

a. 234

b. 240

c. 243

d. 246

e. 248

is d.

Answer 2

The distribution of the mix follows inverse normal distribution

The least weight of a bag in the top 5% is 246 grams

The given parameters are:

[tex]\mathbf{\mu = 240}[/tex] ---- population mean

[tex]\mathbf{\sigma = 3}[/tex] ---- population standard deviation

To get the least weight of a bag in the top 5%, we make use of inverse normal distribution.

So, we have:

[tex]\mathbf{Least = invNorm(p,[\mu,\sigma])}[/tex]

Being in the top 5% means that:

p = 1 - 5%

p = 1 - 0.05

p = 0.95

So, we have:

[tex]\mathbf{Least = invNorm(0.95,240,3)}[/tex]

From the inverse normal calculator, we have

[tex]\mathbf{Least = 246}[/tex]

Hence, the least weight is 246 grams

Read more about inverse normal distributions at:

https://brainly.com/question/15798227

Related Questions

SYSTEMS OF EQUATIONS- How many solutions?

y = 5x - 10
y = 10 + x
O one solution
O no solution
O many solutions

Answers

Answer:

0ne solution;  x = 5

Step-by-step explanation:

if y equals both 5x - 10 and 10 + x then you can do the following:

5x - 10 = 10 + x

4x = 20

x = 5

Round to the nearest tenth. 1.598 *

Answers

Answer:

1.6

Explanation:

1.598

Round from the nearest tenth

1.59

If the number in the hundredths place is higher then 5 then add one to the tenths place.

1.6

Solve for x using any method!

4x – 9 = 15

a
x = 4
b
x = 1
c
x = 20
d
x=6
please hurryyyyyy

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. x=6

Step-by-step explanation:

4x-9=15

Add 9 on both sides

Now the equation will be

4x=24

Divide 4 on both sides which will end up giving you

x=6

I’ll give you BRAINLEST PLEASE HELP

Answers

Answer:

Help with what?

Step-by-step explanation:

A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750​
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200​
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750​
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200​

Answers

Answer:

Option A

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

Let the

Number of Adults = x

Number of campers = y

A summer camp cookout is planned for the campers and their families.

There is room for 200 people.

x + y ≤ 200

Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.

Maximum means the total cost is equal to or less than $750

$4 × x + $3 × y ≤ $750

4x + 3y ≤ 750

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Option A is correct

what is the slope of the line
2x+12y-192

Answers

Answer:

-1/6

Step-by-step explanation:

To get the slope we need the equation in the form y=mx+c, and m is the slope.

2x+12y=192

12y = -2x + 192

y = -2/12 x + 16

-2/12 is the slope but this can be simplified to -1/6

If Jared wanted to buy a t-shirt, how much would it cost him if he also had to pay a seven percent sales tax?

Answers

Answer:

it depends how much the shirt is too.

Use the bar graph to find the experimental probability of the event.

The experimental probability of spinning a number less than 3 is __.


Please help, I'll give brainliest and 20 points

Answers

2 would be the lesser one

this is for jassy sleepy and.., umm some one els with an ice cream avitar.

Answers

Answer: hi :) I have an icecream

Step-by-step explanation:

Plz help and I will give brainliest

A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.


If you put anything random as the answer I WILL report

Answers

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200.

Step-by-step explanation:

$200 because if they save $120 then $80, $200.

(120+80=200.)

Hope this helps plz hit the crown :D

sorrry for not answering earlier

ten men clear a field of area 10 hectares in four days. How many hectares would 15 men clear in six days?

Answers

Answer:

22.5

Step-by-step explanation:

4 days=15

2days=7.5

6=22.5

Pleaseee help me out!
In the triangle shown, what is the length of the hypotenuse?

Answers

Step-by-step explanation:

the answer is

[tex] \sqrt{136} [/tex]

..................

if it feels wrong

be free to correct ....

Which statement describes the congruent triangles?
Z
Y
W
Х
AWXZ AYZX
AWXZ: AYXZ
AWXZ=AXYZ
AWXZ=AZYX

Answers

Answer:

it has to be b or c

Step-by-step explanation:

7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

Answers

Answer:

CD = 25 ft

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle RST[/tex]

[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]

(Corresponding sides of similar triangles are in proportion)

[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]

[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]

[tex]\therefore CD = 5\times 5[/tex]

[tex]\therefore CD = 25\: ft[/tex]

Answer:

CD = 25 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values

[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex]  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm

Answers

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50

write an expression where h is doubled then increased by 20%

Answers

2h*0.2

2h is h doubled

20% becomes 0.2

what is the value of y intercept of the graph of h(x)=32(2.9)^x

Answers

Answer: 32

Step-by-step explanation:

hi :)

During swim practice Brand swim six butterfly stroke laps and eight freestyle Laps. What is the ratio of freestyle apps to total laps? A. 6:14 B. 8:6 C. 8:14 D. 14:8

Answers

Answer:

C) 8 : 14

Step-by-step explanation:

From the Question, we have

Six butterfly stroke laps

Eight freestyle Laps.

Total number of laps = (6 + 8)laps

= 14 laps

Hence,

The ratio of freestyle laps to total laps is:

Freestyle laps : Total laps

= 8 : 14

Option C is correct.

one more lol sprry for a lot of post

Answers

Answer:

A

Step-by-step explanation:

What is the greatest common factor of 26 and 34?

Answers

Answer:

Answer is

2

Step-by-step explanation:

Please Answer

Simplify each radical

Answers

the first one is 25^5( i can’t get access to the radical symbol sorry) and the second one is 14^3

Given that, 1 Turkish lira = £0.17, convert £312 into Turkish lira. Give your answer to the nearest lira.

Answers

Answer:

£53

Step-by-step explanation:

According to the scenario, the computation of the given data are as follows,

1 turkish Lira = £0.17

Now convert £312 into turkish lira

So it can be calculated below:

= £0.17 × £312

= £53.04

After converting into turkish lira, it is £53

-7/10 or -0.81 which is greater

Answers

Answer:

-0.81 one is greater

Step-by-step explanation:

-7/10 > -0.81 because the lower the number the closer it is to 0 and zero is greater than both values.

On a map, 5 centimeters is equal to 140 kilometers. How far apart are two towns which are 18 centimeters apart on the map? A.39kilometers B.163 C.230kilometers D.504Kilometers

Answers

Answer:

504

Step-by-step explanation:

140 divided by 5 is 28 so for every centimeter there is 28 kilometers so 18x28=504

83% of what number is 240? Round the answer to the closest tenth.

Answers

240/X x100 = 83

24000/X= 83

Cross multiply

83X/83 = 24000/83

X = 289.2

6x + 10 = - 2y
y=mx+b

Answers

Answer:

y = -3x - 5

Step-by-step explanation:

-2y = 6x + 10

divide both sides by -2

y = -3x - 5

ASAP SOLVE THE SLOPE

Answers

The slope is one half. You can get this by seeing that the x intercept is -8 and the y intercept is four, meaning rise = 4 run = 8, and because to calculate slope is rise/run, 4/8 = 1/2

8 + (-10) just confused lol

Answers

8+(-10) is like 10-8 except backwards so how i do some problems is like that and then add a negative sign; so say if i were doing 8+(-10), i would do 10-8 which equals 2 and then since 10 is bigger than 8 and it’s a negative number, i would put -2 as my answer

I need help on this PLEASE!!

Answers

Answer:

I can't solve this completely for you, but I'll help you figure it out.

Step-by-step explanation:

All you need to do is choose a number to plug in for x, I'd start with zero and work my way up. Do this for all equations to solve for solutions to your problem.

help me asap plssssssss

Answers

Answer:

Step-by-step explanation:

12 + 4c + c = c + 4

12 + 5c = c + 4

12 + 4c = 4

4c = -8

c =-2

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