Due to concerns about the underinflation of footballs, the National Football League (NFL) created a series of standards that must be met for the weight, length, and the long and short circumferences of each ball. It is stated that the balls are to be inflated to between 12.5 to 13.5 pounds. The pressure output by the ball pump is approximately Normal with a mean of 13 pounds and a standard deviation of 0.25 pounds. At each game, the home team must supply 12 balls to the referee 2 hours and 15 minutes prior to the start of the game for inspection.

(a) What is the probability that a randomly selected ball will not meet the inflation specifications?

Answers

Answer 1

Answer: 13.5/12.5

Step-by-step explanation:

Answer 2

Based on the weight requirement that the ball should be inflated to, the probability that a random ball will not meet this specification is 0.0456.

What is the probability a ball will not meet inflation specifications?

The balls are to be inflated to reach between 12.5 to 13.5 pounds.

The probability they won't meet this specification is:

= 1 - ( P (Z₁₃.₅) - P (Z₁₂.₅) )

Z₁₃.₅ = (13.5 - 13) / 0.25

= 2

Z₁₂.₅ = (12.5 - 13) / 0.25

= -2

From the Z table, P (Z₁₃.₅) is therefore 0.9772 and P (Z₁₂.₅) is 0.0228.

The probability that the inflation requirement is not met is:

= 1 - (0.9772 - 0.0228)

= 0.0456

Find out more on probability at https://brainly.com/question/11902251.


Related Questions

Which statement is true about the pattern above?

Answers

The answer is the fraction 12/16 is also part of the pattern

Answer:

The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.

Step-by-step explanation:

Puppy A weighs 6 kilograms, which is about 30% of its adult weight.

a. Write an equation of this situation using the variable w for the adult weight.
b. What will be the approximate adult weight of the puppy?

Pls solve both a and b as fast as possible thank you :))

Answers

Answer:

a.

Required equation is

6 kg is 30% of w0.3w = 6

b.

Solve the equation

w = 6/0.3w = 20 kg

please help meeee! asap. tia ​

Answers

Answer:

B

Step-by-step explanation:

Equations have answers to it's problem. The equal sign (=) would usually tell you if it is or not. Has an equal sign, equation,  no equal sign, not an equation.

Good luck :)

The answer is B because an equation is a math statement with an equal sign ;-;

You’re baking a Batch of 12 cupcakes each batch requires 100 g of butter which proportion shows how much butter that is in each cupcake

Answers

Answer:

8.33 grams of butter

Step-by-step explanation:

Divide 100 by 12, you get 8.33

Answer:

There would be 8.333 g of butter in each cupcake

Hope this helps :)

(there was no pictures as to give any multiple choice information)

Help I need help with this

Answers

Answer:

????

Step-by-step explanation:

Part A
Consider the function F whose graph is shown below


A −10≤x≤8

B−9≤x≤6

C−6≤x≤4

D−9≤x≤7



Part B
The range of the function is BLANK ≤f(x)≤ BLANK.

Answers

Answer:

Part A) DPart B) -6≤x≤4

according to the graph what is the value of the constant in the equation below

Answers

The constant is 3

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

If angle U = 8x + 9 degrees, and angle W = 8x - 5 degrees, then the measure of angle U is ___ degrees.

Answers

Answer:

m<U = [tex]97^{o}[/tex]

Step-by-step explanation:

From the given question, it can be observed that angles U and W are supplementary. These are angles that add up to [tex]180^{o}[/tex].

So that;

<U + <W = [tex]180^{o}[/tex]

(8x + 9) + (8x - 5) = [tex]180^{o}[/tex]

16x + 4 = [tex]180^{o}[/tex]

16x = [tex]180^{o}[/tex] - 4

16 x = 176

x = [tex]\frac{176}{16}[/tex]

  = [tex]11^{o}[/tex]

The measure of angle U = (8x + 9)

                                        = 8(11) + 9

                                        = 88 + 9

                                        = [tex]97^{o}[/tex]

Thus, the measure of angle U is [tex]97^{o}[/tex].

1.6 + 3 x 4 - 2 divided by 2
An PEMDAS question, pretty easy!

Answers

Answer:

1.6+3 x 4 -2/2

1.6+12-2/2

1.6+12-1

13.6-1

12.6

hope this helps

have a good day :)

Step-by-step explanation:

The expression 1.6 + 3 x 4 - 2 divided by 2  simplifies to 12.6.

Use the concept of mathematical expression defined as:

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The given expression is:

1.6 + 3 x 4 - 2 divided by 2

We know the BODMAS rule,

According to this rule for a mathematical expression, we have to follow these operations in the following order:

1: Bracket opening

2: Division

3: Multiplication

4: Addition

5: Subtraction

Now applying this rule in the given expression,

1.  1.6 + 3 x 4 - 1

2. 1.6 + 12 - 1

3. 13.6 - 1

4. 12.6

Hence,

The expression 1.6 + 3 x 4 - 2 divided by 2  simplifies to 12.6.

To learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Help please no links!! Step by step

Answers

9514 1404 393

Answer:

  42.1 cm

Step-by-step explanation:

The long arc is 265°/360° = 53/72 of the circumference of the circle. Its length is ...

  arc length = 53/72C = 53/72(2πr) = 53π/36(9.1 cm) ≈ 42.1 cm

please help with question

Answers

Answer:

Step-by-step explanation:

Property of the perpendicular lines,

If the two lines [tex]L_1[/tex] and [tex]L_2[/tex] having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other,

Then [tex]m_1\times m_2=-1[/tex]

Equation of line [tex]L_1[/tex] → y = 3x + 5 ------(1)

Equation of line [tex]L_2[/tex] → 6y + 2x = 1 ------- (2)

Slope of line [tex]L_1[/tex],

[tex]m_1=3[/tex]

Slope of line [tex]L_2[/tex],

6y + 2x = 1

6y = -2x + 1

[tex]y=-\frac{2}{6}x+\frac{1}{6}[/tex]

[tex]y=-\frac{1}{3}x+\frac{1}{6}[/tex]

Therefore, [tex]m_2=-\frac{1}{3}[/tex]

By using the property of perpendicular lines,

[tex]m_1\times m_2=3\times (-\frac{1}{3} )[/tex]

              [tex]=-1[/tex]

Therefore, both the lines are perpendicular.

A new car is purchased for $33,000 and over time its value depreciates by one half
every 4 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $9, 300?

Answers

Answer: 26 years

Step-by-step explanation:

Answer: 7.3

Step-by-step explanation:

you plug in y=a(1/2) ^t/h

To 9300 = 3300 (1/2)^t/h

Can some one help me answer all ten questions they are due at 10:00 I will give out brainly.

Answers

Answer:

perimeter of rectangle=2(l+b)

=2(13.5+7)

=2*20.5

=41

area of rectangle=l*b

=13.5*7

=94.5 inch^2

area of triangle=1/2*b*h

=9.48*4.2/2

=19.90

=19.9

perimeter of triangle=a+b+c

=(4.46+9.48+10) inches

=23.94 inches^2

to find x

7x+2=3x+18

7x-3x=18-2

4x=16

x=16/4

x=4

perimeter of rectangle=2(l+b)

=2(7x+2+12.5)

=2(7*4+12.5)

2*40.5

=81

perimeter of triangle=1/2*b*h

=7.3*6.3/2

=45.99/2

=22.99

=23 mm^2

area of a triangle=a+b+c

=s+s+s

=7.3+7.3+7.3

=21.9 mm^2

Radius=14 inc

diameter=radius*2=28 inc

circumference=2πr

=2*3.14*14

=87.92

area of ciecle=π[tex]r^{2}[/tex]

=3.14*(14)^2

=3.14*196

=615.44

Step-by-step explanation:

Which equation represents a nonlinear relation?
A y=6x

B y-x=x^2

C x-5=y-7

D y=2x/x-5

Answers

Okay it might not be right but I say B

Someone help me pls

Answers

Answer:

=a^-13/a^-6

=a^-13+6

=a^-7


HELP PLEASE ! if right will mark as brainliest !

What are the real solutions to the equation 4x^3 - x^2 - 4x + 1 = 0?

A) x= -1, 1/4, 1
B) x= -1, -1/4, 1
C) x= -1,1
D) x= -1, 0, 1/4

Answers

Answer:

b

Step-by-step explanation:

so pay attentyion t the numbners

solve m : m - 7 = 24

Answers

31

31-7=24

24-(-7)
24+7=31

Answer:

m = 31

Step-by-step explanation:

Which of the following equations has infinitely many solutions? A. 5x + 3 = 3x + 9 B. 3(x + 5) + 3 = 9x + 3(x + 3) C. 3x + 5(3x + 9) = 18x + 45 D. 3x + 5 = 3

Answers

The answer to your question is the letter A

i’m confused about #6, anyone know the answer?

Answers

Answer:

A

Step-by-step explanation:

Because B and D were both according to the Mean, and that is the same in the table so we can cross those out. And C is wrong because there are not less of a variation but more variation. So A would be your answer!

Hope this helps!

Geometry. Please help ASAP! Will Mark Brainliest!

Answers

Answer:

The answer is SAS

Step-by-step explanation:

The SAS rule states that two triangles are similar if the ratio of their corresponding two sides is equal and also, the angle formed by the two sides is equal.

Solve the inequality for b.

4b - 12 -5b < 9b + 8​

Answers

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

What angles can make a triangle, it has to do with acute, right, and obtuse angles. which two of these three make a triangle?

Answers

Answer:

acute angles and an obtuse angle

Step-by-step explanation:

There are different types of triangle. We have;

Right angled

Obtuse triangle

isosceles triangle etc

Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.

hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle

Maribel bought new furniture for her house. The total price of the furniture is $5,200.
Which of the following options should Maribel choose to pay the least amount of
interest?


A Pay an annual simple interest of 5% for 24 months
B Pay an annual simple interest of 8% for 18 months
C Pay an annual simple interest of 6% for 14 months
D Pay an annual simple interest of 10% for 9 months

Answers

Step-by-step explanation:

apter 5 – Finance – The first part of this review will explain the different interest and

investment equations you learned in section 5.1 through 5.4 of your textbook and go through

several examples. The second part of this review will give you various sample problems to work

on – you should know how to do all these sample problems for Exam II. The sample exam is

posted to the Math 113 webpage – please come to the Math Resource Center if you need help!

The sum of money you deposit into a savings account or borrow from a bank is called the

principal. The fee to borrow money is called interest. When you borrow money you pay back

the principal and interest to your lender. When you deposit money into a savings account or

other investment, the bank pays you back the principal and the interest earned. Interest is

calculated as a percent of the money borrowed, a percent of the principal. Depending on the type

of loan, interest can be calculated in a variety of ways.

Simple Interest Loans (Section 5.1) :

Simple Interest involves a single payment and the interest computed on the principal only. The

equation for simple interest is a linear function. If the problem refers to a simple interest rate,

then you know you need to use simple interest rate formulas.

Equation #1:

:

Pr

where

I = t

I = the amount of interest paid for borrowing the money

P= the principal or the amount of money you borrowed from the bank

r = is the simple interest rate – this is a per annum rate (i.e. yearly)

t = the amount of time the money is borrowed for – this needs to be in years if the problem gives

you t in months then you need to divide the number of months by 12 to convert t into years.

Equation #2:

A = (P+Prt)=P*(1+rt)

where:

A = the future value - the total amount the borrower owes at the end of the loan period – this is

Principal plus Interest.

I = the amount of interest paid for borrowing the money

P= the principal or the amount of money you borrowed from the bank

r = is the simple interest rate – this is a per annum rate (i.e. yearly)

t = the amount of time the money is borrowed for – this needs to be in years if the problem gives

you t in months then you need to divide the number of months by 12 to convert t into years.

Equation #3:

I = A – P

where:

A = the total amount you owe at the end of the loan period – this is Principal plus Interest.

I = the amount of interest paid for borrowing the money

. Joyce and Marianne both earn a combined income of $1,600 a week. Marianne earns $200 more than Joyce. How much income do Joyce and Marianne each earn?


( I need the equation and it needs to be solved. )

Answers

Answer:

So Joyce earns $700 and Marianne earns $900 per week. and $900=$200+$700. A slightly different approach is to say, if Marianne didn't earn 200 more than Joyce, then the combined income would be $200 less or $1600-$200=$1400. Now they both earn the same so each would get half of $1400 or $700.

Step-by-step explanation:

A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?

Answers

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]

can you show me the answer

Answers

Answer:

which answer?

Step-by-step explanation:

..........

What number is a factor of the prime factorization of 60?ANSWER IT CORRECT AND IF YOU DO THEN BRAINLIEST!

Answers

Answer:

3

Step-by-step explanation:

Hope that helps <33

A sign made of solid wood is in the shape of a pyramid. The base is a triangle with a base of 6 feet and a height of 4 feet. The height of the sign is 7 feet. The wood costs $3 per cubic foot. What is the cost of the sign?

Answers

Answer:

$144

Step-by-step explanation:

Volume of the pyramid = 1/3BH

Base area B = 1/2 * 6 * 4

Base area B = 12 ft²

Height H = 4ft

Volume of the pyramid = 12 * 4

Volume of the pyramid = 48ft³

SInce 1 ft³ = $3

48ft³ = x

Cross multiply

x = 3 * 48

x = 144

Hence the cost of the sign is $144

Plz, help me ASAP!! NO FILES period!

Answers

Answer:

Step-by-step explanation:

what do u need help with

Answer:

simplify expression

Step-by-step explanation:

1-9/7n

help me please!!! asap!​

Answers

C should be the answer

Answer: C

Explanation: 3(2) = 6

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