1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
storchak [24]
3 years ago
12

Company A packages roofing nails and boxes that are normally distributed with a mean of 272 nails and a standard deviation of 5.

4 nails.
Company B packages roofing nails in boxes that are normally distributed with a mean of 249 nails and a standard deviation of 3.8 nails

Which company is more likely to produce a box of 260 roofing nails?
explain your answer using Z
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

Company B is more likely to produce a box of 260 roofing nails.

Step-by-step explanation:

Company A :

Mean = 272 nails

Standard deviation = 5.4 nails

Roofing nails expected to be produced = 260

⇒ 260 = 272 + z × 5.4

⇒ z = -2.222

Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.

Company B :

Mean = 249 nails

Standard deviation = 3.8 nails

Roofing nails expected to be produced = 260

⇒ 260 = 249 + z × 4.8

⇒ z = 2.895

Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.

Therefore, Company B is more likely to produce a box of 260 roofing nails.

You might be interested in
Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3
VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

---------------------

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0
3 years ago
Read 2 more answers
A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
Lana71 [14]

Answer:

h(x)=\dfrac{x}{2}+5

Step-by-step explanation:

You are given the function f(x)=2x-10. To find the inverse function f^{-1}(x) do such steps:

1. Rewrite the function f(x) as

y=2x-10

2. Express x in terms of y:

y+10=2x\\ \\x=\dfrac{y}{2}+5

3. Change x into y and y into x:

y=\dfrac{x}{2}+5

Now, the inverse function is

f^{-1}(x)=\dfrac{x}{2}+5

7 0
3 years ago
Read 2 more answers
I really need help with this question! And I need to show work
krek1111 [17]

Answer:

x=0.25 or -1/4

Step-by-step explanation:

120x + 21 = -9

120x = -30 (-21 from both sides of equation)

x = -0.25 or -1/4 (divide 120 from both sides of equation)

3 0
3 years ago
Read 2 more answers
What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator
kirill [66]

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

                                          = 10!

                                          = 10*9*8*7*6*5*4*3*2*1

                                          = 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of  L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are  

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

  =  10! / (2! 2! 2 !)  

  = 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

  = 3628800 / 2 * 2 * 2

  =  3628800 / 8

  =   453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

 1 / total number of different permutations  

= 1 / 10! / (2! 2! 2 !)  

= 1/453600

= 0.000002

8 0
3 years ago
Other questions:
  • Helppppppppppppp ppppppppplllllllllleeeeeeeeeeeeeaaaaaaaaaaaasssssssssseeeeeeeeeeee
    5·1 answer
  • Name a pair of lines that appear to be perpendicular
    5·1 answer
  • What kind of transformation is illustrated between the triangle XYZ and XYZ?
    5·1 answer
  • Which of the following has the same value
    11·1 answer
  • A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Fi
    10·1 answer
  • Convert 4.5 in to a fraction
    8·2 answers
  • Graph 1<br> Zeros:<br> X-intercepts:<br> Y-Intercept(s)<br> Local Max<br> Local Min
    8·1 answer
  • Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and
    11·1 answer
  • Find the perimeter RST. Round answer to the nearest tenth<br> Show all the work
    8·1 answer
  • Please help with this question!! Will mark brainliest!! Thank you:)​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!