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
Tema [17]
3 years ago
11

The lifespan of a 60-watt lightbulb produced by a company is normally distributed with a mean of 1450 hours and a standard devia

tion of 8.5 hours. if a 60-watt light bulb produced by this company is selected at random, what is the probability that its lifespan will be between 1440 and 1465 hours
Mathematics
1 answer:
Flura [38]3 years ago
8 0
To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190

when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625

hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445
You might be interested in
If the price of a toy usually costing £50 and id increased to £65 what is the increase percentage
Savatey [412]

Answer:

30%

Step-by-step explanation:

If the price went up to 65 from 50, that is an increase of 15. 15 is 30% of 50.

3 0
3 years ago
Read 2 more answers
Simplify the expression by combining like terms. 22+5m−4m+7n−8
rewona [7]

Answer: The simplified form by combining like terms is given by

14+m+7n

Step-by-step explanation:

Since we have given that

22+5m-4m+7n-8

Now, we combine the like terms :

1) First we collect m terms :

22+5m-4m+7n-8\\\\=22+m+7n-8\\\\

2) Combine n terms  and constant terms :

=22-8+m+7n\\\\=14+m+7n

Hence, the simplified form by combining like terms is given by

14+m+7n

6 0
3 years ago
Read 2 more answers
¿Como se realizan ecuaciones de primer grado?
Law Incorporation [45]
5^0=1

Any exponent to zero power equals 1
7 0
3 years ago
Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
11Alexandr11 [23.1K]

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

x^2 + y^2 = 8

If we put x=0 then we get two value of y i.e \sqrt8 and -\sqrt8 which satisfy the equation  and therefore the equation is not a function.

5 0
3 years ago
PLZ HELP WILL MARK BRAINLIEST :)
olya-2409 [2.1K]

1 = B 2 = C I hope it helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 an
    10·2 answers
  • The first group was responsible for making 160 suits while the second group was responsible for making 25% fewer suits in the sa
    11·1 answer
  • Jeff saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account ea
    12·1 answer
  • Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
    12·1 answer
  • Which problem can be shown using the equation 2x8=16
    5·1 answer
  • Using the slope formula, find the slope of the line through the given points.<br> (6,3) and (8,9)
    10·1 answer
  • Approximate the sum of the convergent infinite series the least usingnumber of terms so that the error is less than .0001. What
    9·1 answer
  • Can someone please help me as soon as possible​
    11·1 answer
  • Fill in the table. I will pick brainliest.
    6·1 answer
  • I believe you need to use the quadratic formula for this one, but I am not sure!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!