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
serious [3.7K]
3 years ago
9

The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p

rocess standard deviation is known to be 100 hours. A random sample of 64 light bulbs indicated a sample average life of 350 hours. Given the confidence interval calculated above. do you think the manufacturer has the right to state that the light bulbs last on average 400 hours?
a. No.
b. Yes.
c. Maybe.
d. Do not know
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given sample size 'n' = 64</em>

<em>Given standard deviation of the Population (σ)=100</em>

<em>Mean of the sample (x⁻) = 350 hours</em>

<em>95% of confidence interval is determined by</em>

(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )

((350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} }  )

(350-24.5 , 350+24.5)

<em>(325.5 , 374.5)</em>

<u><em>Conclusion:-</em></u>

<u><em>Yes</em></u>

The manufacturer has the right to state that the light bulbs last on average 400 hours

You might be interested in
Solve the equation? Help Please !!!?!?! 3-x/2&gt;12
Troyanec [42]

Answer:x<-18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

-1/2x+3>12

Step 2: Subtract 3 from both sides.

-1/2x+3-3>12-3

-1/2x>9

Step 3: Multiply both sides by 2/(-1).

(2/-1)*(-1/2x)>(2/-1x)*(-1/2x)

X<-18

:D

6 0
3 years ago
HELP!!!!!
frosja888 [35]

Answer:

I think it is 350(1.2)^t because you take the starting amount (350) and then multiple it by the growth rate (which is 20%, but when added to 100 and the put into a decimal is 1.2) raised by the number of hours (t).

I hope this helps.

Step-by-step explanation:

8 0
3 years ago
Which of the following represents a function
Oksana_A [137]

Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

6 0
2 years ago
A family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of
tatyana61 [14]
Let's call the fuel consumption of the first car "x" and the second car "y"
x + y = 35 is the total fuel consumed.
20x + 25y = 775 is the distance traveled.
Solve the two equations. Skipping a few steps, I get 
5y = 75. Therefore y = 15. So y used 15 gallons of gas. Therefore x used 20 gallons.

20 gallons, 15 gallons.

4 0
3 years ago
1. mandy is saving her money to buy a new Bike. The bike she wants is a Diamond back, which
san4es73 [151]

Answer:

Katelynn has $285 already saved. The bike she likes starts at 475. It starts at, it's not exactly. However, we are looking for the least amount she needs to save. Therefore, we need to subtract what she has saved from the least amount she is trying to save or reach. least amount needed $475 minus-saved $285 this equals $190.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • I need a little math help
    14·1 answer
  • 1/4(20−4a)=6−a<br><br> solve for a
    7·1 answer
  • a line passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercep
    13·1 answer
  • PLEASE HELP IM DESPERATE
    7·1 answer
  • which of the following terms best describes the graph of the exponential function given below f(x)=4*5^x
    8·1 answer
  • Describe the transformation of F (x) = log3 x represented by g (x) = 5 log3 x
    7·1 answer
  • Steven wants to buy a couch that costs $475. He has already saved $120. He plans to save $25 a week.
    13·2 answers
  • What is 20% of 10?<br> Show your work .
    14·2 answers
  • Find The Slope Of The Line For Number 6. I NEED THIS DONE ASAP! I WILL GIVE BRAINILEST WHOEVER GETS THIS RIGHT!
    12·2 answers
  • Kelly bought a wooden bench marked down from $175 to $154. What percentage is the discount?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!