A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 46 cables and apply weights to each of them until they break. The 46 cables have a mean breaking weight of 779 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable.

Answers

Answer 1

Answer:

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.69

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb

The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.


Related Questions

Aiden scored 27 goals in soccer. If he made 90% of his kicks, how many shots were taken?

Answers

Answer:

30

Step-by-step explanation:

Someone pls explain what to do and give answer <3 thank you

Answers

Answer:

you just have to add everything together.

Step-by-step explanation:

H=6

E=x+5

F=12

D=9

G=6

Write the quadratic equation in standard form.
- 4(x - x²) = 8
Determine if the quadratic function

Answers

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?​

Answers

Answer:

24

Step-by-step explanation:

Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case

5*8 and 3*8 = 64

3*8 = 24

5*8 = 40

There are 24 girls

A small island country with less than 20,000 cars has decided to reissue the license plates for its cars and has decided on the following rules for assigning numbers and letters to the license plates. Each plate will have 7 character positions that each must be filled. The leftmost character position will hold a letter from the set {D, E, H, G, X}. The next three positions will hold integers from the set {0, 1, ..., 9} but none of the integers can be repeated. The rightmost three positions must be entirely from the set {I, V, X} or entirely from the set {P, Q, R}, with repetition allowed in either case. For example, a valid plate would be G 027 XXI and an invalid plate would be G 337 PQX (two rules violated). What is the maximum number of different license plates following the rules?

a. 270,000
b. 2,624,400
c. 3,645,000
d. 194,400

Answers

Answer:

The answer is "Choice d"

Step-by-step explanation:

Given data:

7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]

calculating the left most filled by any of D, E, H, G, X

a possible way to fill =5

calculating the next 3 value that will be filled 0 to 10 without any repetition

possible way to fill [tex]=10 \times 9 \times 8[/tex]

calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation

possible way [tex]=2 \times 3^3[/tex]

Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]

What expression is equal to 5,007.992?

Answers

This is the answerrrrreerrrrre

DONT answer if you don’t know

Answers

Answer:

c. 8 1/4 inches.

Step-by-step explanation:

The snail crawls 2 3/4 inches in 1 minute.

In 3 minutes, it can crawl 2 3/4 x 3 inches.

= 8 1/4 inches.

i dont know the answer to this so i am asking yall guys and girls.

which number will make the two fractions equivalent? 6/7=?/21

Answers

Answer:

18/21

Step-by-step explanation:

7x3 = 21

6x3=18

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{7} =\frac{x}{21} \\\\\frac{6}{7} =\frac{18}{21}[/tex]

Multiply 3 to 6 since 7 x 3 is 21,

so 6 x 3 = 18

The mayoral election results for the town of Jainsville are shown in the table below.



Voters were able to vote for one of three candidates, each represented by one of the three parties shown in the table. Each voter was given a six-digit identification number. What is the probability that if an identification number is randomly chosen, a 50-year-old or younger voter from the winning party will be chosen from the pool of voters? Round your answer to the nearest hundredth of a percent.

Answers

Answer:

ponlo en español para ayudarte

An electrician charges a service fee of $60 to inspect a home. If he has to
work on something he charges $25 per hour. If he charges $172.50, how
many hours did he work?

Answers

Answer:

About 4.5 hours, you can say 5 hours

Step-by-step explanation

You can solve this by constructing a linear equation, which would turn out like this, 25x+60=172.50. How I got this is that it says his charge is 25 per hour, that is basically multiplication by an unknown number, so put that as a variable. Next it says he has a service fee of 60 dollars, this is what's called an initial fee. Now all we need to do is solve for x, which turns into 4.5. I don't know if they ask to round your answer or something, I hope this is right.

Solve for t: F =2t+k/3g

Answers

Answer:

[tex]F = \frac{2t + k}{3g} \\3Fg = 2t+k\\3Fg - k = 2t\\t = \frac{3Fg - k}{2}[/tex]

What is the measure of x? Please help!

Answers

Answer:

x =√[y²+(27)²] = √[ z² - 3² +(27)²]

Step-by-step explanation:

step 1) x=√[y²+(27)²]

step 2)

We find y

z²=y²+3² → y² = z² - 3²

step 3) x = √[ z² - 3² +(27)²]

X2 + 8x + y2 - 2y =64

Answers

i’m gonna assume it’s like this:
2x+8x+2y-2y=64
move 64 to the other side, becomes negative
2x+8x+2y-2y-64
=10x-64

Find the value of 5⁰ X 7⁰ X 3⁰

plz help asap​

Answers

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Explain how to solve 4X5X3. Use math terms in your answer.

Answers

Answer:

4 x 5 x 3 = 60

Step-by-step explanation:

4 x 5 = 20 ,   20 x 3 = 60

If the radius is 25 mm, what is the Diameter

Answers

Answer:

7.96

Step-by-step explanation:

Janet plants 20 varieties of flowers in the spring She reports that 90% of flowers she planted have bloomed .

How many varieties have bloomed

Answers

Answer:

18 varieties

Step-by-step explanation:

Total varieties of flowers that she planted = 20

100% = 20

1% = 20 ÷ 100 = 0.20

90% = 0.20 x 90 = 18

Answer:

18 flower varieties have bloomed.

Step-by-step explanation:

HELP ASAP !! i’ll give you the brainliest answer as long it’s correct plsss helpp

Answers

Answer:

its b, and why does everyone want brainllest

Step-by-step explanation:

Answer:

Answer option 2

Step-by-step explanation:

Find the measurement of KL (round your answer to the nearest one hundredth. Which theorem did you use?

Answers

9.434, Pythagorean theorem

Using the Pythagorean theorem:

KL = sqrt( 8^2 + 5^2)

KL = sqrt( 64 + 25)

KL = sqrt(89)

KL = 9.43

The answer is 9.43

Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
1. One scoop of ice cream weighs about 3 ounces. Last Thursday the ice-cream parlor used 18 pounds of ice cream. About how many scoops of ice cream were served last Thursday?

2. Doris's bill at the ice-cream parlor comes to $2.54. She realizes that she doesn't have any dollar bills, so she is paying with coins. She has 24 coins including quarters, dimes, nickels, and pennies. She has the same number of nickels as quarters and twice as many dimes as quarters. If she has 5 nickels, how many quarters, dimes, and pennies does she have?

Answers

Answer:

1. 6

2.

pennies = 9

nickels = 5

quaters = 5

dimes = 10

Step-by-step explanation:

1.

18/3 = 6

as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams

2.

5n

#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get

5n = 5q = 10d = 15 coins

24 - 15 = 9 pennies

pennies = 9

nickels = 5

quaters = 5

dimes = 10

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each exponential equation to its percent rate of change.
40% growth
80% decay
40% decay
20% growth
20% decay
60% growth
60% decay
80% growth
60(0.8)t = 1.4
arrowRight
1.2(1.4)t = 80
arrowRight
40(0.2)t = 1.6
arrowRight
20(0.6)t = 1.2
arrowRight
80(1.6)t = 20
arrowRight

Answers

9514 1404 393

Answer:

20% decay40% growth80% decay40% decay60% growth

Step-by-step explanation:

The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.

For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.

__

Here, we'll list the growth factor and the rate of change:

  growth factor ⇒ rate of change

  0.8 ⇒ 20% decay

  1.4 ⇒ 40% growth

  0.2 ⇒ 80% decay

  0.6 ⇒ 40% decay

  1.6 ⇒ 60% growth

ill mark brainlist plss help

Answers

area = side x side
= 8 x 8
= 64

Answer:

64 ft²

Step-by-step explanation:

Given

Length of a square (L) = 8 ft

Area of the square is

= L²

= 8²

= 64 ft²

Hope it will help :)❤

There are 8 fish tanks in the pet shop. They just
received an order of 216 goldfish. The owner of the
pet shop wants each tank to have the same number
of fish. How many goldfish will each tank have
in it?

Answers

Answer:

27

Step-by-step explanation:

216/8=27

hope it helps

Answer:

27

Step-by-step explanation:

Please help I will give you brainless fide the volume and round to the nearest tenth

Answers

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?


Ryan practiced ________ minutes on Wednesday.
please help :)

Answers

Answer:

Ryan practiced 33.66 minutes on Wednesday

Step-by-step explanation:

You do 43.2+37.48 and it equals 80.68

Then you do 114.34-80.68 which equals 33.66

Simplify the expression m 4/5x m1/10

Answers

Answer:

√x4

Step-by-step explanation:

(x^2+x−3)⋅(x^2−4)

(y^2+6y+8)−(y^2+y−12)

2825
2072
2733
2069
2484
4285
2862
3353
1449
2029
1285
2982
2045
1677
1619
2597
3512
2444
1773
2284
1884
2359
2046
2364
2669
3109
2804
1658
2207
2159
2207
2882
1647
2051
2202
3223
2383
1732
2230
1147
2711
1874
1979
1319
2923
2281
1230
1665
1294
2936
Find mean
Find mean

Answers

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count

Step-by-step explanation:

Solve with yourself

8/15 - 1/10 show work plz

Answers

Answer: 13/30

Step-by-step explanation:

8/15 -1/10 = (2×8)/(2×15) - (3×1)/(3×10) = 16/30 - 3/30 = (16-3)/30 = 13/30

Answer:

13/30

Step-by-step explanation:

8/15 - 1/10 (first find a common denominator which can be 30 for example)

Multiply numerator and demomiator

16/30 (x2) - 3/30 (x3) =13/30.

Find the value of x in the picture below.

Answers

Answer:

I think that the answer is 2.5 , the second item .

A quantity who values do not change is called a

A) Variable
B) Pattern
C) Constant
D) Algebraic expression

Answers

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

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