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
nata0808 [166]
3 years ago
15

The number of pages printed before replacing the cartridge in a laser printer is normally distributed to a mean of 11,500 pages

and a standard deviation of 800 pages. A new cartridge has just been installed. a. What is the probability that the printer produces more than 12,000 pages before this cartridge must be replaced? b. What is the probability that the printer produces fewer than 10,000 pages?
Mathematics
1 answer:
Helen [10]3 years ago
5 0
<span>a. What is the probability that the printer produces more than 12,000 pages before this cartridge must be replaced? 
solution
to solve the equation we need to find the z-score:
z=(x-</span>μ)/σ
where:
x=12000
μ=mean=11500
σ=standard deviation=800
thus
z=(12000-11500)/800=0.625
thus
P(x>12000)=1-P(x<12000)=1-0.7357=0.2643

<span>b. What is the probability that the printer produces fewer than 10,000 pages?
z=(10000-11500)/800
z=-1.875
hence
P(x<10000)
=0.0301

</span>
You might be interested in
What is 48,100,000,000,000 in scientific notation?
Alexeev081 [22]
 im pretty sure it is 4.18x10^13 


8 0
3 years ago
Read 2 more answers
What is -2x+5&gt;11 graphed out on a number line?
grin007 [14]

Step-by-step explanation:

-2x>11-5

x<6/-2

x<-3

Make sure the circle in the number line isnt coloured in!

5 0
3 years ago
what is the solution to the system of equations shien on the graph? A.(0,5) B.(-2,1) C.(0,-1) D.(1,-2)
VLD [36.1K]

Solution is where the lines intersect. It's  is (-2 , 1)

Answer is B.(-2,1)

3 0
3 years ago
Can someone please help me?
timama [110]
I pretty sure your answer is yes but correct me if i’m wrong
6 0
3 years ago
Identify, graph and state the symmetries for each polar equation.
xxMikexx [17]
<span>It is symmetric to X,Y-Axis</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • A professor wanted to determine the proportion of students in his class who have cheated on an exam. The professor selects a ran
    10·1 answer
  • Related Rates
    14·1 answer
  • Given that f(x)=x2-3x+3 and g(x)=x-1/4 find f(g(5))
    12·1 answer
  • Alex needs to varnish the top and bottom of a dozen rectangular wooden planks the planks are 8 feet long and 3 feet wide eavh pi
    15·1 answer
  • A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1 2/3 pounds. The weight o
    11·2 answers
  • a department store sells a pair of shoes with an 87% mark up If the store sells the shoes for 193.21 then what is their non mark
    11·1 answer
  • A skydiver falls 125 feet in 5 seconds. How far does the skydiver fall per second?
    14·2 answers
  • If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?
    14·1 answer
  • Need help. Look at image please!
    15·2 answers
  • One estimate for the number protons in Betelgeuse is 2.16 × 10^58. The mass of one proton is about 1.67 × 10^-27 kg. What is the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!