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

what is -6.77626358E-21 written in scientific notion with three significant digits ​

Answers

Answer:

-6.78 x 10^-21

Step-by-step explanation:

-6.77626358E-21

= -6.78 x 10^-21

The trapzeoids below are congruent figures. What is the value of W

Answers

Answer:

2

Step-by-step explanation:

3w=6

w=6÷3

w=2

Chandler, Jamal, Allison, and Qi are given the following problem. In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Each student writes an inequality to represent the situation. Chandler wrote 60 + 2g ≥ 92 Jamal wrote 60 + 2g > 92 Allison wrote 60 + 2g < 92 Qi wrote 60 + 2g ≤ 92 Whose inequality is CORRECT? A. Qi B. Chandler C. Allison D. Jamal

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

which pair of triangles is congruent by asa?​

Answers

I believe it would be D.
D; look up “ASA” for clarification

Explain why this equals that please!

Answers

Answer:

[tex]\frac{5^3s^3t^6}{s^4 x 50t}[/tex]

After that, all terms reduce as follows: the [tex]5^{2}[/tex] with the 25 in 50, the s at the numerator with the s in the denominator, and a t from the denominator with one unit from the exponent of t in the numerator.

Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?

Answers

Answer:

290in

Step-by-step explanation:

Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?

Answers

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Of the pebbles that were measured, which weight occurs the least?

Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.

Therefore 3 ounce occurred the least.

b) What is the total weight of the pebbles represented by the data?

Soln.: The total weight is:

Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce

c)  Is there an outlier in the data set? If so what number is the outlier?

Soln.: There is no outlier in the data set because all the data are close to each other.

ANSWERRRRR????HELPP PSLSSSSS

Answers

Answer:

its sas side angle side plz mark me branliest

A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box

Answers

Answer:

8 bowls

Step-by-step explanation:

10=40/4

1 1/4=5/4

40/4 divided by 5/4=160/20

160/20=8/1

Answer: the answer is 8

Step-by-step explanation:

60 points 90 % of my grade

Answers

Answer:

5/6 x 4 = 20/6 as simplified as 10/3 in fraction form. 5/6 x 4 = 3.3333 in decimal form.

Step-by-step explanation:

Answer:

5/6 × 4 = ?

5/6 × 4

= 5/6 × 4/1

= 5×4/6×1

= 20/6

= 10/3

= 3.33

Dawn bought 12 grams of chocolate. She ate half of the chocolate. How many grams of chocolate did she eat​

Answers

Dawn would have ate 6 grams of chocolate

Explanation: if you divide 12 by 2 it equals 6

Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity. What shape tank should Mike buy?

Answers

Answer:

sphere

Step-by-step explanation:

sphere has a larger volume

The points (-1,-3, -1,7) Is located in which quadrant

Answers

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

What is the sum of the areas of circle C and circle D?
O 7 units?
7 cm
D
O 1410 units
O 49 units
O 987 units

Answers

Answer:

98pi

Step-by-step explanation:

Area of circle: pi(r)^2

A1=pi(7)^2

A2=pi(7)^2

A2+A1=98pi

In a pre-election poll, 58% of a large random sample of voters responded as planning to vote for the school enhancement millage. A 95% confidence interval was computed for the proportion of all such voters who plan to vote for the school enhancement millage. Review each of the following statements regarding the meaning of the 95% confidence level. Determine if it is a correct (true) meaning or incorrect (false).

Answers

Answer: Hello the statement related to your question is missing attached below is the statement

answer : The statement is false

Step-by-step explanation:

The statement is false

This is because a confidence interval gives a range of values for an unknown parameter.

A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.

Branliest to correct answer no guessing explain how you solved it

Answers

Answer:

5,040 play list arrangements. its very complexe and will hurt to type srry

Step-by-step explanation:

Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?

Answers

Answer:

yes

Step-by-step explanation:

Hello There!

In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared

so if this is a right triangle then

[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]

so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle

- 4(x + 5) = 16 what does x equal?

Answers

Answer:x= 9

Step-by-step explanation:

-4(x+5) = 16

-4*x= -4x -4*5= -20

16 - -20= 36

-4x/-4= x 36/-4=9

Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x

4
y
=
1
5
x
+
6
y
=

5










x−4y=1
5x+6y=−5


{
x
=
1
+
4
y
5
x
+
6
y
=

5










x=1+4y
5x+6y=−5


1) How can we get System
B
BB from System
A
AA?

Answers

The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

To obtain System B from System A, we can perform the following steps:

Start with System A:

System A:

x - 4y = 1

5x + 6y = -5

Solve the first equation in System A for x:

x = 1 + 4y

Substitute the value of x in the second equation of System A:

5(1 + 4y) + 6y = -5

Simplify and solve for y:

5 + 20y + 6y = -5

26y = -10

y = -10/26

y = -5/13

Substitute the value of y back into the equation we found in step 2:

x = 1 + 4(-5/13)

x = 1 - 20/13

x = (13 - 20)/13

x = -7/13

Write down the equations with the values of x and y:

System B:

x = -7/13

5x + 6y = -5

Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

Learn more about expression here:

https://brainly.com/question/1859113

#SPJ8

Pls help I need a good grade

Answers

Answer:

Step-by-step explanation:

13). [tex]-\frac{q}{7}\geq -1[/tex]

     [tex]\frac{q}{7}\leq 1[/tex]

    [tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]

      q ≤ 7

14). -12x < 60

      12x > -60

      [tex]\frac{12x}{12}>\frac{-60}{12}[/tex]

      x > -5

15). 5 > z - 3

     5 + 3 > z - 3 + 3

     8 > z

16). 0.5 ≤ [tex]\frac{y}{8}[/tex]

     0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]

     4 ≤ y

Now we can draw these inequalities on a number line.

Enter the value of b when the expression 9x + b is equivalent to
3(3x + 1).
BE
ker notes

Answers

Answer:

b = 3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

First, distribute 3 to all terms within the parenthesis:

3(3x + 1) =

3 * 3x = 9x

3 * 1 =  3

9x + b = 9x + 3

Isolate the variable, b. Subtract 9x from both sides:

9x (-9x) + b = 9x (-9x) + 3

b = 3

3 is your value for b.

~

What is the y value in solution the following system?
4x+3y=7
X+2y=-2
(Worth 10 points)

Answers

4x+3y=7......……(i)
X+2y=-2………....(ii)
Multiplying eqn (ii) by 4
4x+8y=-8…………(iii)
Solving eqn ( i) and (iii)

what is the negation of "x>3"?
a)=3
b.)_<3
c.)<3​

Answers

Given:

The inequality is:

[tex]x>3[/tex]

To find:

The negation of the given inequality.

Solution:

The given inequality is [tex]x>3[/tex], it means all the value which are greater than 3 are included in the solution set.

Since all the values which are less than or equal 3 are not included in the solution set, therefore the negation of the given inequality is

[tex]x\leq 3[/tex]

Therefore, the negation of [tex]x>3[/tex] is [tex]x\leq 3[/tex].

Note: Option are not in proper format.

The answer and I will mark Brainalist

Answers

Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

7. A shopkeeper buys a stove from a manufac-
turer. The shopkeeper sells the stove for $2 500
at a profit of 20%.
(a) What amount did the shopkeeper pay the
manufacturer for the stove?​

Answers

Answer:

I believe the amount that the shopkeeper would've paid for the stove is $2083

Step-by-step explanation:

2500×100/120 = 2083.33

A pink-and-green spinner landed on pink 14 times and on green 56 times. Based on experimental probability, how many of the next 65 spins would you expect to land on pink?

Answers

Answer:  13

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

Explanation:

Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.

You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.

If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.

Note how 13/65 = 1/5.

Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?

Answers

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

Name the first three numbers in this sequence
_ _ _ 80, 160,320,640,1280

Answers

Answer:

10, 20, 40

Step-by-step explanation:

Answer and Step-by-step explanation:

The first three numbers are 10, 20 and 40.

This is because the sequence is being increased by twice the previous number.

To get from 10 to 20, you multiply by 2, to get from 20 to 40, we multiply by 2, to get from 40 to 80, we multiply by 2, to get to 80 to 160, we multiply by 2, and so on.

#teamtrees #PAW (Plant And Water)

what is the square root of 7875​

Answers

Answer:

7875−−−−√225⋅35−−−−−−√ 225−−−√35−−√ 1535−−√

7875−−−−√=88.74119674649424

hope that helps!

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