A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test

Answers

Answer 1

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)


Related Questions

Guys please i need help in this question, whoever gets it right will get a brainliest

dont pay attention to the bots responding with links, there not the answers

Answers

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

If it took 8 hours to mow 5 lawns, then at that rate, how many lawns could be
mowed in 32 hours?
20 lawns
51 lawns
24 lawns
16 lawns

Answers

I’m not completely sure, but if you do 8 divided by 5 and multiply that by 32, you get 51.2, which means you would complete 51 lawns and a little of another. I hope this helps.

There are 9 students participating in a spelling bee. In how many ways can the students who go first, second, and third be
chosen?
B.504 ways
C.529 ways
a. 454 ways
d. 404 ways

Answers

Answer:

I'm pretty sure it is C

Step-by-step explanation:

the answer for this is c

(2x+9)+(3x+9)=180


I need to on find X

Answers

Answer:

x=72 I hope I am correct have a great day:)

Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?

(Show your work)

Answers

A.) the discount is $9
B.) the new price is $21

Work:
30% is turned to .30
so, $30 x .30 is $9.
that’s how much is taken off.

Solve for x assume that lines wich appear to be tangent are tangent, please HELPP don't do it just for points please I really need help

Answers

Answer:

Hope It Help

Step-by-step explanation:

Brainliest Please

Answer:

8). x = 9

9). x = 5

Step-by-step explanation:

Note that if you take a point outside a circle and take the two tangents, they are symmetrical. And if they're symmetrical, their lengths are equal!

8).

5x - 1 = 3x + 17

2x - 1 = 17

2x = 18

x = 9

9).

-4 + 4x = 3x + 1

-4 + x = 1

x = 5

PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Answer:

D. 16 square inches

Step-by-step explanation:

Hope this helps

Find the volume of a cone with a base radius of 6 in and a height of 12 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.​

Answers

Answer:

we have

radius [r]=6in

height [h]=12in

Volume of cone = 1/3πr²h

Volume = 1/3 ×π × (6)² × 12=144πίn³or 452.38in³ is your answer.

The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.

Answers

Answer:

669cm2

correct question

Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area

Step-by-step explanation:

The side length of the hexagon should be given which is 16 cm

To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle

Base = √((16)^2 - (13.9)^2

Base = √62.29

Base = 7.92cm

Since we have gotten the base

Diagonal - the base gives the top length of the trapezium.

32- 7.92- 7.92 = 16.16

The area of the hexagon gives the 2 times of the trapezium.

To find the area of the trapezium

= 1/2 * ( a+b)h

= 1/2* ( 32+ 16.16)* 13.9

= 24.04*13.9

Area of the trapezium = 334.71cm2

= 334.71 * 2

= 669.42cm2

Hope this helps

Solve for v
11v + -15v = 8
V=

Answers

Answer:

Step-by-step explanation:

Solution= V=0

Answer:

[tex] \bf \huge2[/tex]

Step-by-step explanation:

Given :

11v + -15v = 8

to find :

solve for v

explanation :

step 1 : Simplify both sides of the equation.

⟼ 11v + -15v = 8

⟼ 11v - 15v = 8

⟼ - 4v = 8

step 2 : Divide both sides by - 4.

⟼ - 4v / - 4 = 8 / - 4

⟼ v = - 1 × - 2

⟼ v = - 2.

v = 2.

A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the
five numbers to be 18?
08
12
18
26

Answers

Your answer is 26.

We have to go at this kind of backward.

We find the average by adding up the numbers, then dividing by how many numbers we have.

In this example, we will have 5 numbers...so
x divided by 5 = 18

x/5 = 18
x = 90

The sum of all 5 numbers is 90, so then subtract the 4 numbers you already know to find the one you’re missing. (We’ll call it n)

90 - 8 - 12 - 18 - 26 = n

90 - 64 = n
n = 26

Please let me know if you have any questions.

Solve the following absolute value equation.
|x – 9 = 12
X = 21
- [?]
X =

Answers

Answer:

x=21 not sure if this is the answer

FIND X. PLEASE HELP............. ..........!

Answers

Answer:

x=23

Step-by-step explanation:

expressions below are equi valent? 5(w + 12)=5w + 60 Associative property Commutative property Inverse property Distributive property​

Answers

You would use the Distributive property to make the left side the same as the right side.

5(w+12) = 5w + 60

Multiply the 5 by each term inside the parenthesis.

5w +60 = 5w +60

kathy walked 3/4 mile to piano lessons every day.How many miles does she walk in 4 days​

Answers

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

[tex]\frac{3}{4}mile = 1 day[/tex]

Let's multiple it by 4.

[tex]\frac{3}{4} (4)[/tex]

Find common factor of both 4 to simplify, so of course 4.

[tex]\frac{3}{1} (1)[/tex]

Multiply across and the number should be 3! Hope that helped

You buy a computer for $749 and a printer for $99 You must also
pay sales tax which is 6% of the cost of your purchases. What is the
total amount paid, including sales tax?

Answers

Answer:

$898.88

Step-by-step explanation:

Shakira has 6 whole dollars, 3 hundredths of a dollar, and 7 tenths of a dollar. How much money does she have? What coins/bills does she have and how many of each? Answer in coins

Answers

Answer:

$6.73

Step-by-step explanation:

Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.

I believe this correct but im not exactly sure

I hope this helps :)

Answer:

$6.73 || 26 quarters, 2 dimes, 3 pennies.

Step-by-step explanation:

If this isn't what you was asking sorry.

Question 4
What is the distance between the points (-6, 7) and
(-1, 1)? Round to the nearest whole unit.
A.about 61 units
B.about 8 units
C.about 13 units
D.about 7 units

Answers

Answer:

B

Step-by-step explanation:

to find the distance between both subtract (-1,1)-(-6,7)= (5,-6)square both then add finally find tge squareroot. squareroot(5^2+(-6)^2)= sqareroot 61 = 7.8 to whole unit= 8 unitanswer 8unit

Surface area formula
of a parallelogram prism

Answers

SA=bh (surface area for parallelogram prism)

Farmer Jones owns a triangular plece of land.
The length of the fence AB is 150
m.
The length of the fence BC is 231 m.
The angle between fence AB and fence
BC Is 1239.

How much land does Farmer Jones own?

Write the whole number
numeric value only

Answers

155 is your answer lmk if you need anything else

Find the value of ((2 + 3)2 + (10 + 2)2)

Answers

Answer:

34

Step-by-step explanation:

parenthesis get done first!

((5)2+(12)2)

then multiplication

(10+24)

then addition

34

Answer:

5+12+4 =21

Step-by-step explanation:

21 is the answer I think

A triangle with angles of 74° and 16° is?
A. equilateral
B. obtuse
C. isosceles
D. right
E. impossible to draw​

Answers

The answer is A trust me I did it before

find the least common multiple of 12 and 20 please no links​

Answers

Answer:

The Least common multiple of 12 and 20 is 60!

Step-by-step explanation:

Hope this Helps!

Find the value for x and y if x+(xy)^1/2+y=14 and x^2+xy+y^2=84​

Answers

Answer:

[tex]xy = 4 [/tex]

Step-by-step explanation:

Taking the first equation , we have ,

[tex]\implies x + (xy)^{\frac{1}{2}} + y = 14 \\\\\implies x + \sqrt{xy}+ y = 14 \\\\\implies x + y = 14 -\sqrt{xy}\\\\\implies (x+y)^2 = (14-\sqrt{xy})^2 \\\\\implies x^2+y^2+2xy = 196 + xy -28\sqrt{xy} \\\\\implies x^2+y^2+xy = 196 - 28\sqrt{xy}[/tex]

Now according to second equation,

[tex]\\\\\implies 84 = x^2+xy+y^2 [/tex]

Plug on this value ,

[tex]\implies 84 = 196 -28\sqrt{xy}\\\\\implies -112 = -28\sqrt{xy}\\\\\implies \sqrt{xy}=\dfrac{112}{28}\\\\\implies \boxed{\boxed{ xy = 16 }}[/tex]

On substituting this value in terms of one variable of the equation you can get the values of x and y .

Questlon 3 of 10
Which term describes the distance from the center of a circle to any point on
the circle?
A. Diameter
B. Center
C. Circumference
D. Radius
SUBMIT

Answers

the correct answer is D radius

Radius.

Step-by-step explanation:

What is the solution of the system?
I need both X and Y

Answers

(1,2) your X is 1, your Y is 2

please help..I dont get this and please Dont put a Link below please.

Answers

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Solve the system of equations.




5y−4x=−7
2y+4x=14

Answers

x would equal 3 and y would equal 1. put it like this: (3,1)

It takes Brent 9 minutes and 14 seconds to walk around the pond. It takes Dana 8 minutes 41 seconds to walk around the pond. How many more seconds does it take Brent to walk around the pond than Dana?

Answers

Answer:

0 min 33 sec

Step-by-step explanation:

 9 min 14 sec

- 8 min 41 sec

-----------------------

 8 min 60+14 sec

- 8 min 41 sec

-----------------------

 8 min 74 sec

- 8 min 41 sec

-----------------------

0 min 33 sec

Airplane A is flying directly toward the airport which is 30 miles away. The pilot notices Airplane B 40 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of Airplane B calculates that Airplane A is 30 degrees to his left. Based in that information, how far is Airplane B from the airport?

Answers

9514 1404 393

Answer:

  38.6 mi

Step-by-step explanation:

The law of sines applies.

  b/sin(B) = a/sin(A)

  a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)

  a ≈ 38.6 mi

Airplane b is about 38.6 miles from the airport.

_____

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

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