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.

Answers

Answer 1

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%


Related Questions

common factor of 36 and 48

Answers

Answer:

12

Step-by-step explanation:

In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage making it difficult to score. Larry plays quarterback for the Eagles. During the team's opening football game, the Eagles have the ball 48 yards away from the goal line. On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively. What is the distance between the ball and the goal line after these five plays?

Answers

Answer:

36 yards

Step-by-step explanation:

48 - 31 = 17

17 + 3 + 5 + 7 + 4 = 36

The total distance between  the ball and the goal line is 36 yards

What is data?

In computing, data is information that has been translated into a form that is efficient for movement or processing.

Given:

Eagles have the ball 48 yards away from the goal line.

On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards.

After first day they have yards remaining

=48 - 31

= 17

Now, the total distance between  the ball and the goal line

=17 + 3 + 5 + 7 + 4

= 36

Learn more about data here:

https://brainly.com/question/15403824

#SPJ2

Solve for B.
A= 7/8(B+C)

PLS HELP ITS TIMED

Answers

Answer:

8/7A - C = B

Step-by-step explanation:

A= 7/8(B+C)

Multiply both sides by 8/7

8/7A = B + C

Subtract C

8/7A - C = B

what is the answer
????

Answers

Answer:

The answer is 22 feet.hope you like answer

Which equation is equivalent to
A=1/2bh?

A) H=2A/b

B) H= A/2b

C) H= A - 1/2b

D) H= 2A-b

Answers

Answer:

a

Step-by-step explanation:

Adrian, Ben and Charlie share some sweets in the ratio 7.4.11
Charlie got 52 more sweets than Adrian. Work out the total amount of sweets.​

Answers

Answer:

286 sweets.

Step-by-step explanation:

If Adrian had x sweets, Charlie got x+52 sweets.

The number of parts  is 7+4+11 = 22.

So Adrian had 7/22 of the total  and Charlie had 11/22 = 1/2 of the total.

This means that Ben had 4/22 = 2/11 of the total.

If y is the total number of sweets:

y = x + x + 52 + 2y/11

9y/11 = 2x + 52

2x =  9y/11 - 52.............(1)

Also x + 52 = y/2

y = 2x + 104

2x = y - 104...............(2)

Equating (1) and (2) -   (as there is 2x on left side of both equations):-

9y/11 - 52 = y - 104

52 = 2y/11

y = 52 * 11/2

y = 286 sweets.

Find the equation that has a slope of -2 and passes through the point (0,4)
pleaseeeee

Answers

Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b

y=-2x+b

4=-2(0)+b

4=0+b

4=b

y=-2x+4

Need help ASP TWT……….

Answers

Answer:

C srry if im wrong

Step-by-step explanation:

which ordered pair is a solution to The equation y=-7-3x

Answers

Answer:

can you add the options that would help

Step-by-step explanation:

vvvv

Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points)

Answers

Part A :

Rate of shipping per pound of stuffed animal = $0.75

Therefore total cost for P pounds = C = 0.75 P

Cost of shipping 2 pounds of stuffed animals = 0.75*2 = $1.50

Part B :

If the cost is reduced by $0.05 per pound then the reduced cost per pound = 0.75 - 0.05 = $0.70

Therefore total reduced cost for P pounds = C = 0.70 P

Answer:

i think the person on top of me is correct :)

Step-by-step explanation:

A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.

Answers

Answer:

3.25

Step-by-step explanation:

13÷4=3.25

Everyone gets 3.25 kg of chocolate

Answer:

3 1/4 kilograms

Step-by-step explanation:

13 ÷ 4 = 3.25 = 3 1/4

What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet

Answers

Solution-
Circumference of circle: 14 pi feet or 43.98.
But here answer is option A.
Answer:A
The answer is A. Hope this help

the range of values of x for which 11-2x>1​

Answers

Answer:

(−∞,5)

Step-by-step explanation:

-2x>-10

x<5

graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

c + f ≤ 60

c > 0

f > 0

Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%

Answers

Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

What is the length of side a?








Thank u

Answers

side a is 13 when using the pythagorean theorem

a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13

Solve for x.
z=(x-8)k

Answers

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.

Answers

Answer:

  24.2% decrease

Step-by-step explanation:

The distance Javi must ride changed by ...

  1.25 -1.65 = -0.40 . . . miles

The ratio of that to the original distance is ...

  -0.40/1.65 × 100% ≈ -24.2%

The distance decreased by 24.2%.

you buy 5 pounds for 35 how much dose one pound cost

Answers

Answer: 35 divided by 5 = 7.

Step-by-step explanation: therefore one pound is $7

Define a equilateral triangle

Answers

Answer:

All sides are equal

Step-by-step explanation:

Think: equilateral is equal so this must mean that something on the triangle has to be all equal.

I could use some help answering this math problem!!

Answers

Answer:

b

Step-by-step explanation:

2x is the same as 2 times x and if x represents the coaches uniform and the uniform is 2 times the cost of the players then the answer is b 2x

One electrician charges his customers a $60 service fee plus $35 per hour.
Another electrician charges her customers $65 per hour. How many hours must the
electricians work in order for the total cost of an eelectrician to be the same? What is
the total cost?

Answers

Answer:

2 hours; $130

Step-by-step explanation:

We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:

65 * x = 60 + 35* x

30 * x = 60

x = 2 hours

The cost will be the same at two hours, and plugging it in, we can get 65*2=130.

If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4

Answers

Answer:

B= 3/5

Step-by-step explanation:

If is wrong I'm sorry

The answer isssssssssssssaa B3/5

will mark brainliest

Answers

Answer:

K (-1,-1)

Step-by-step explanation:

The graph of the function has slope of 1 and y-intercept of -6.​

Answers

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.

What is the population of the town in 2006?

Answers

Answer:

Approximately 9666 people

Step-by-step explanation:

We can describe this trend as the formula [tex]P=8914(1.0136)^{n}[/tex] where [tex]P[/tex] is the population of the town [tex]n[/tex] years after 2000.

Therefore, the population of the town in 2006 will be [tex]P=8914(1.0136)^{6}\approx9666[/tex]

Check all that apply F(x) = 3/x(x-5)(x+1)

Answers

Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?

3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2

Answers

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

Here’s another one for you people

Answers

Brianna’s Roofing Service can build 50 homes and still have 200 boxes of shingles left.


Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer

Answers

Answer:

84 cm²

Step-by-step explanation:

Total surface consists of 2 right triangles and 3 rectangles.

Sum of their areas is the total surface area.

Area of 2 triangles:

A = 2*(1/2)*4*3 = 12 cm²

Area of 3 rectangles:

A = 6*(3 + 4 + 5) = 6*12 = 72 cm²

Total surface area:

S = 12 + 72 = 84 cm²
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