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
Mumz [18]
3 years ago
13

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard de

viation of 86 minutes with a mean life of 505 minutes. If the claim is true, in a sample of 120 batteries, what is the probability that the mean battery life would differ from the population mean by greater than 16.6 minutes? Round your answer to four decimal places.
Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

p=0.01740

Step-by-step explanation:

-Let \bar X denote the mean battery life and that it follows a normal distribution of mean 505 minutes and standard deviation of 86 minutes.

-To find the probability in a sample n=120, we calculate as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\=\frac{16.6}{86/\sqrt{120}}\\\\=2.1145

The probability is thus:

P(Z>2.1145)=1-0.9826\\\\=0.01740

Hence, the probability is 0.01740

You might be interested in
CAN SOMEONE HELP ME PLZ
Anna35 [415]
The group of those shapes are parallelograms
6 0
4 years ago
Read 2 more answers
What is the slope for (6,2) (9,8)
fredd [130]

Answer:

3/6

Step-by-step explanation:

The slope is how one number gets to the next, in this instance we have point (6,2) at x=6 y=2 to get from there to the next point x=9 y=8 we would have to count up three and over six. Therefore, the answer is 3/6.

Hope this helps!

5 0
3 years ago
100 points!!! Please full out all of these ASAP!!! Please show work!!!
Alex

Answer:

look below

Step-by-step explanation:

y = 2 (x + 3)^2 - 2

Geometric figure:  parabola

Alternate forms:

y = 2 (x + 2) (x + 4)

y = 2 (x^2 + 6 x + 8)

-2 x^2 - 12 x + y - 16 = 0

Expanded form:

y = 2 x^2 + 12 x + 16

Roots:

x = -4

x = -2

<u>Properties as a real function: </u>

Domain - R (all real numbers)

Range - {y element R : y>=-2}

Partial derivatives:

d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)

d/dy(2 (x + 3)^2 - 2) = 0

Implicit derivatives:

(dx(y))/(dy) = 1/(12 + 4 x)

(dy(x))/(dx) = 4 (3 + x)

Global minimum:

min{2 (x + 3)^2 - 2} = -2 at x = -3

3 0
4 years ago
How to find the rule of this sequence: 11, 18,25,37?
Arturiano [62]

Hey there! Thanks for asking your question here on Brainly!

You can find the rule to this sequence fairly easily. Take the last number (37) and subtract the second-to-last number (25) from it. That gives you 12. Next, take 25 and subtract 18 from it, which equals 7. Lastly, take 18 and subtract 11 from it, which equals 7. Therefore, the sequence is arithmetic.

The rule would be +7, +7, +12

Finding the rule involves taking one number and subtracting the number before it in order to find the difference between the two numbers, or how the sequence changes.

Hope this helps!! If there's anything else I can help you with, please let me know! :)

7 0
3 years ago
Answer quick ill do you a good favor too
tangare [24]

Answer:

132=11x12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which two integers is 115 between?
    8·1 answer
  • The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt
    12·2 answers
  • What is the solution to this equation? -15x=90
    7·2 answers
  • 4 3/10 divided by 3/5
    8·1 answer
  • After selling a dozen copies of the daily newspaper, a newsstand had fewer than 75 copies left. How many copies did the newsstan
    14·2 answers
  • Plzzzzzzz helpppppppppppppp
    15·1 answer
  • What is the inequality of -1/12 ≥6
    8·1 answer
  • Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125
    14·2 answers
  • Answer the statistical measures and create a box and whiskers plot for the following
    14·1 answer
  • What is the area of this trapezoid?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!