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
OLga [1]
3 years ago
7

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new

model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6

(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.

(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
Mathematics
1 answer:
Stells [14]3 years ago
3 0

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

You might be interested in
OA. 29 feet<br> OB. 19 feet<br> OC. 6 feet<br> OD. 36 feet
kipiarov [429]
What’s the question????
5 0
3 years ago
What is 1*10^-4*4*10^4 answer in scientific notation
Elanso [62]

Answer: 4

Step-by-step explanation:

yes

7 0
3 years ago
1/2 of 3 + 3/4 of 3 +1/2 of 2=
Vedmedyk [2.9K]
=3/2+ 9/4+ 2/2
=1.5+ 2.25+ 1
=4.75
6 0
3 years ago
Please please help me. i’ll literally send you money. i need to pass please help
mihalych1998 [28]
<h3>Answer: Approximately 6.4 units</h3>

==================================================

Explanation:

The origin is the point (0,0)

Use the distance formula to find the distance from (0, 0) to (4, -5)

Let

(x_1,y_1) = (0,0)\\\\(x_2,y_2) = (4,-5)\\\\

be our two points. Plug those values into the distance formula below and use a calculator to compute

d = \sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0-(-5)\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0+5\right)^2}\\\\d = \sqrt{\left(-4\right)^2+\left(5\right)^2}\\\\d = \sqrt{16+25}\\\\d = \sqrt{41} \ \text{ exact distance}\\\\d \approx 6.40312 \ \text{ approximate distance}\\\\d \approx 6.4\\\\

The distance between the two points (0,0) and (4,-5) is approximately 6.4 units.

6 0
3 years ago
How do I solve 372 = -3x - 6(8x + 6)? I already know that x = -8, but I need to know the process of how to get it.
ziro4ka [17]

The value of x is -8

Step-by-step explanation:

The steps of solving an equation of one variable

  1. Simplify the two sides of the equation
  2. Separate the variable in one side and the numerical term in the other side
  3. Divide the both sides by the coefficient of the variable

∵ 372 = -3x - 6(8x + 6)

- Simplify the R.H.S. of the equation by multiplying the bracket by 6

∵ 372 = -3x - [6(8x) + 6(6)]

- You must put the square bracket because the sign in-front of 6

  is (-) and the (-) changes the signs after it

∴ 372 = -3x - [48x + 36]

- Remember (-)(+) = (-), multiply the square bracket by (-)

∴ 372 = -3x - 48x - 36

- Add the like terms in the R.H.S.

∴ 372 = -51x - 36

- Add 36 to both sides to separate x in the R.H.S.

∴ 408 = -51x

- Divide both sides by -51 (coefficient of x)

∴ -8 = x

I hope these steps help you

The value of x is -8

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

3 0
3 years ago
Other questions:
  • It takes Wayne 1/0 of an hour to walk a 1/6 mile park loop. What is Wayne's unit rate in miles per hour?
    7·1 answer
  • What is 145,000-83,125?
    10·1 answer
  • Write a linear function f with f(-4) = 2 and f(6) =-3​
    8·1 answer
  • After a storm, two street lights with the same length are leaning against each
    9·1 answer
  • Ethan earns $8.40 per hour. in a week he works 40 hours plus 7 hours at time in a half and 3 hours at double time. calculate his
    14·1 answer
  • Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
    14·1 answer
  • John makes $63.70 cutting grass for 5 Hours. How much does he make per hour
    11·2 answers
  • What is the table of 75​
    11·1 answer
  • Please help me solve this!!!!!!
    6·2 answers
  • Find the perimeter of this semi-circle with diameter,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!