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
Please solve numbers 16-17
Gelneren [198K]

Answer:

-1 :)

Step-by-step explanation:

4 0
3 years ago
What is the equation of the line that includes points (25, 100) and (15, 120)
julia-pushkina [17]

Answer:

y = -2x + 150

Step-by-step explanation:

y2 - y1 / x2 - x1

120 - 100 / 15 - 25

20 / -10

= -2

y = -2x + b

100 = -2(25) + b

100 = -50 + b

150 = b

3 0
3 years ago
Which expression can be used to determine the length of segment ZY? See image.
mixer [17]

Answer:

\sqrt{8^{2} + 3^{2} }

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

It's length is then square root of the sum of the squares of the other sides:

hyp = \sqrt{a^{2} + b^{2} }

So, in this case:

ZY = \sqrt{8^{2} + 3^{2} }

The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).

That's an easy rule to remember.

I hope it helps.

6 0
3 years ago
Read 2 more answers
Yarely ordered a skateboard. There was a discount of 40% and the original price is
Firlakuza [10]
Answer and working out attached below. Hope it helps.

8 0
3 years ago
Does One-half hour equals , 2 one quarter hours
Ghella [55]
Half an hour= two quarters of an hour
7 0
3 years ago
Other questions:
  • Solve x2 - 8x = 3 by completing the square. Which is the solution set
    11·1 answer
  • A group of preschoolers has 16 boys and 6 girls.what is the ratio of girls to boys
    15·2 answers
  • The formula E= mgh, where E = gravitational potential energy, m = mass, g = gravity, and h = height, is used to calculate gravit
    9·2 answers
  • Help please I'm lost​
    12·1 answer
  • The slope of the line below is -2. Use the coordinates of the labeled point to
    13·1 answer
  • Which expression is equivalent to 15x – 2(3x + 6)?
    14·1 answer
  • Find the sum of the even numbers shown below. 2+4+6+8+...+66+68+70​
    10·1 answer
  • Solve for x.<br><br> x2−10=−5<br><br><br><br> x=±5√<br><br> x=±15−−√<br><br> x=±35√<br><br> x=±50−−√
    11·2 answers
  • Solve the equation by completing the square.
    6·1 answer
  • Sami cuts out a rectangle that has a perimeter of 48 inches and a length of 13 inches.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!