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

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

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

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

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

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

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 :)

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

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:

-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.

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 ....

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

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

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

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.

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

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:

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.

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

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.

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

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

What is the greatest common factor of 26 and 34?

Answers

Answer:

Answer is

2

Step-by-step explanation:

I’ll give you BRAINLEST PLEASE HELP

Answers

Answer:

Help with what?

Step-by-step explanation:

one more lol sprry for a lot of post

Answers

Answer:

A

Step-by-step explanation:

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

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

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

Answers

2h*0.2

2h is h doubled

20% becomes 0.2

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

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

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