The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used

Answers

Answer 1

Answer:

106

Step-by-step explanation:

Given that:

Mean (m) = 13.5 pounds

Error margin = 0.025

α = 99%

Variation interval = range = 13.3 to 13.7

Standard deviation (σ) estimate from range :

Range / 4

(13.7 - 13.3) /4

= 0.4 / 4

= 0.1

Zcritical at 99% = 2.576

Using the formula :

Sample size (n) = [ (Zcritical * σ) / M. E]^2

n = [(2.576 * 0.1) / 0.025]^2

n = (0.2576 / 0.025)

n = 10.304^2

n = 106.172

n = 107 samples


Related Questions

Which is equivalent to (x+3)(x-5)

Answers

Answer:

x^2 -2x -15

Step-by-step explanation:

by multiplying the 2 brackets

x^2

-5x + 3x = -2x

3 * -5= -15

2x+y=42
8x+7y=36
Using the process of eliminations.

Answers

Answer:

x=43,y=-44

Step-by-step explanation:

hey i hope it helps you

2x+y=42(7)

8x+7y=36(1)

14x+7y=294

8x+7y=36

6x=258

divide both sides by 6

x=43

to get y

2x+y=42

equate x=43

8(43)+7y=36

344+7y=36

344-36=7y

308=7y

divide both sides by 7

y=-44

Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...​

Answers

Answer:

The answer is i have no clue

What is the question ?

True or False: Receipts are a way to document or keep track of your expenses.

Answers

Answer:

True

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

True

Step-by-step explanation:

People save receipts to keep track of their previous purchases and expenses.

I hope this helps

In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?

[asy]
unitsize(3 cm);

pair X, Y, Z;

X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);

draw(X--Y--Z--cycle);

label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]

Answers

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

Required

Determine the length of XY?

This question is supported with the attachment.

To solve for the length of XY, we make use of the sine law which states:

[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]

In this case:

[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]

Substitute in, the following values:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

The expression becomes:

[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]

Cross multiply

[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]

Make XY the subject

[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] --- approximated

Answer:

XY = 4.9

Step-by-step explanation:

Please answer this correctly fast!! What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible

Answers

Answer:

Not possible

Step-by-step explanation:

These triangles are not congruent

The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile

Answers

Given:

Inter quartile range(IQR) of a distribution = 7

25th percentile = 16

To find:

The upper quartile.

Solution:

We have,

IQR = 7

25th percentile = lower quartile = 16

We know that,

IQR = Upper quartile - Lower quartile

Let the upper quartile be [tex]Q_3[/tex].

Using the above formula, we get

[tex]7=Q_3-16[/tex]

Adding 16 on both sides, we get

[tex]7+16=Q_3-16+16[/tex]

[tex]23=Q_3[/tex]

Therefore, the upper quartile of the distribution is 23.

If two sides of a triangle are 7 and 14, the third side may be?

Answers

Nothing above 21...

Please help me ASP

Give me a Fraction Mixed number word problem

Answers

WORD PROBLEM:

Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/5

16y5+4y5-12y3+15y3?
What is the simplified form?

Answers

Answer:

[tex]20y^5+3y^3[/tex]

Step-by-step explanation:

[tex]16y^5 + 4y^5 -12y^3 + 15y^3[/tex]

All we can do here is combine like terms (add those that have the same the same exponent)

[tex]20y^5+3y^3[/tex]

Good luck!

Answer:

[tex]20y^{5} +3y^{3}[/tex]

Step-by-step explanation:

[tex]16y^{5} +4y^{5} =20y^{5}[/tex] and [tex]-12y^{3} +15y^{3} =3y^{3}[/tex]

So [tex]20y^{5} +3y^{3}[/tex]

A garden shop always sells the same number of plants per box. If there are 70 plants in 2 boxes, how many plants would be in 5 boxes?

Answers

Answer:

175

Step-by-step explanation:

First figure out how many plants are in each box.

70 / 2 = 35

Then use this to find the number of plants in each box.

35 x 5 = 175

In the figure, if the measure of ∠1 = 112o, what's the measure of ∠12?

Answers

Answer:

the measure of angle 12 is 68degrees

SHOW
YOUR
WORK!!
X -
-67 V6 ²-4ac
2a
The
equation d = n²-12n + 43
models the number of defective
items a produced in a manufacturing process where there are
workers in a restricted
area
a) solve for
n
When
d=30
INTL
DLL

Answers

Answer:

1.20, 10.8

Step-by-step explanation:

d = n^2 - 12n + 43

d = 30

30 = n^2 - 12n + 43

0 = n^2 - 12n + 13

now solve for n using quadratic formula:

a=1, b=-12, c=13

n = (-b +- sqrt( b^2 -4ac))/2a

two answers ( one for + the square root, one for - the square root)

n = 1.20, n = 10.8

A soccer team sells three items for a fundraiser. The table shows the total sales for the items.

The team gets to keep $1 for every $10 in total sales.



Item Total Sales

Hats $196

T-shirts $504

Sweatshirts $420


Part A

If t is the total sales and k is the amount of money the team gets to keep,

which equations can be used to find the amount the team gets to keep?

Choose all that apply.

A. t ÷ 10 = k

B. k ÷ t = 10

C. 10 × t = k

D. t = 10 × (196 + 504 + 420)

E. 196 + 504 + 420 = t

Part B

How much money does the team get to keep? Enter your answer in the box.

Answers

yeah 420 i think hope this helps

Can anyone help with this it is for Geometry

Answers

Answer:

three angle one slide

Step-by-step explanation:

Simplify this problem :

2 5/8 - 1 1/3

Answers

Answer:

-1 1/24

Step-by-step explanation:

Answer:

31/24 is the simplified answer

Step-by-step explanation:

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

please help.​

Answers

Answer:

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Step-by-step explanation:

Given that:

Distance of hotel from house = 163 miles

Distance covered by per liter = 10.5 miles

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]

Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]

The journey will use 15.52 liters of petrol.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

Cost of per liter petrol = 138.9 pence

Cost for petrol to hotel = Petrol used for journey * Price per liter

Cost of petrol = 138.9 * 15.52 = 2155.73 pence

The approximate cost of petrol to hotel will be 2155.73 pence

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.

Distance covered per hour = 50 miles

Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]

Time taken in whole journey = [tex]\frac{168}{50}[/tex]

Time taken in whole journey = 3.36 hours

The whole journey will take 3.36 hours

Hence,

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?

Answers

Answer: mean-54     mode-1     median-50

Step-by-step explanation:

Jared bakes 2 apple pies. He cuts the two pies into pieces. Each piece is 1/8 of a pie. Enter the number of pie Jared cuts.

Answers

Answer:

16 pieces

Step-by-step explanation:

Please give me brainliest

this is so emaruballos can be marked brainliest and yes the answer is 16

Given that 1 inch = 2.54 cm, how many centimeters are there in 5 feet?

Answers

Answer: 152.4 cm

Step-by-step explanation:

As an estimation we are told €4 is $5. What is the conversion rate from € to $? Give your answer rounded to 2 DP.

Answers

Answer:

$1.25/€

Step-by-step explanation:

€4 = $5

Divide both sides by €4.

€4/€4 = $5/€4

1 = $5/€4 = $1.25/€

Since $1.25/€ is equal to one, multiplying a number of euros by it will not change the value of the number. It will convert it from euros to dollars.

Answer: $1.25/€



A rectangular monitor's size is measured diagonally from 1 comer to the opposite comer. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high,
nearest

Answers

Answer:

somewhere around 38-44

Step-by-step explanation:

i would like brainliest plz, i know bad answer

Answer:

How do you solve it?

Step-by-step explanation:

Find those ^^^^^^^^^^^^^^

Answers

Answer:

m<G=60 degrees.

equilateral or equiangularTriangle

Step-by-step explanation:

triangle is 180 degrees

all these angles are congruent

means they all equal the same

180/3=60

60 degrees because 180 divided by 3

Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds​

Answers

Answer:

166.67 pounds

Step-by-step explanation:

Set up a proportion where x is Tom's weight in pounds:

[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]

Cross multiply and solve for x:

75 = 0.45x

166.67 = x

So, Tom weighs approximately 166.67 pounds

What is 3/8 divided by 4/1

Answers

3/32 hope this helps ig

Find the value of x

a)105°
b)85
c)75
d)25

Answers

Answer:

c) 75

Step-by-step explanation:

180-155 = 25

80+25+x=180

x = 75

Step-by-step explanation:

By Exterior Angle Theorem,

x = 155° - 80° = 75° (C).

Solve for the value of f: ½(6 + 4) + 5f = 10

Answers

Answer:

Start by combing any like variable and distributing the values.5+5f=10 5f=5f=1

`y=2x+1` was a positive slope because...

Answers

Step-by-step explanation:

.....because the coefficient of x is 2, a positive number.

Solve five ninths minus two sixths

options:

twelve fifty fourths

twenty fifty fourths

six thirds

three over one

Answers

The answer would be 12/54 (twelve fifty fourths) but if you simplify it you would get 2/9 (two ninths).

What is the area of the triangle? Make me brainlest pleas

Answers

Answer:

i looked it up

Step-by-step explanation:

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