The following observations were made on fracture toughness of a base plate of 18% nickel maraging steel (in ksi √in, given in increasing order)].
68.6 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.2
76.2 77.0 77.9 78.1 79.6 79.8 79.9 80.1 82.2 83.7 93.4
Calculate a 90% CI for the standard deviation of the fracture toughness distribution. (Give answer accurate to 2 decimal places.)

Answer:

53 in2 is the answer for this question

Answer:

53

Step-by-step explanation:

If you divide the figure into two parts by extending the 4 in side, you get a right triangle and a rectangle.

Area of rectangle:

6*8 = 48 in²

Area of triangle:

1/2*(13 - 8)*(6 - 4) = 1/2 times 5 times 2 = 5 in²

Total area is:

48 + 5 = 53 in²

hope this helps x

Answer:

1 1/2 or 1.5

Step-by-step explanation:

If they split 1/2 of the bar with each other

3 bars x 1/2 split bar = 1.5 or 1 1/2 of the shared amount

3 *1/2=1.5 or 1 1/2

Answer:

  12 square units

Step-by-step explanation:

The area formula for a triangle can be used.

  A = 1/2bh

  A = 1/2(4 units)(6 units) = 12 units²

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

https://brainly.com/question/17343417

#SPJ2

We can expect a total of 45 games during the tournament.

What is round robin scheduling?

Round robin scheduling is a way of sharing CPU time among processes in a fair and cyclic manner.

In a round-robin tournament, each player must play against every other player exactly once. So, if we have n players, then each player will play (n-1) games.

In this case, we have 10 grandmasters, so each one will play 9 games. However, we have to be careful not to count each game twice (i.e., once for each player). So, the total number of games in the tournament is:

10 players × 9 games each ÷ 2 = 45 games

Therefore, we can expect a total of 45 games during the tournament.

Learn more about round robin system on:

https://brainly.com/question/30023475

#SPJ1

The correct question is:

A chess tournament will be developed between 10 grandmasters in a round robin system. Calculate the number of games expected during the tournament.

Given: The system of equations below

To Determine: The solution of the system of equations

Solution

Let us combine the two equations

Substituting equation 1 into equation 2

Substitute x = 6 into equation 1

Hence, the solution is (6, -2)

\((\stackrel{x_1}{40}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{20}-\underset{x_1}{40}}} \implies \cfrac{ -2 }{ -20 } \implies \cfrac{ 1 }{ 10 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ \cfrac{ 1 }{ 10 }}(x-\stackrel{x_1}{40})\implies {\Large \begin{array}{llll} y=\cfrac{1}{10}x+4 \end{array}}\)

Answer:

x=17

Step-by-step explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17

Answer:

A.

Step-by-step explanation:

A and C are the only graphs it could be because they are the only graphs starting with (0, 0)

Graph C does not have (2, 4) on it but Graph A does meaning that the only possible answer is Graph A

Answer:

Yes, ( A )would be the correct answer

Step-by-step explanation:

Took the test.

The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

Learn more about Volume of cylinder :

brainly.com/question/24055431

#SPJ1

Answer:

B.

g= 10

Step-by-step explanation:

The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

Read more about linear equation at:

brainly.com/question/14323743

#SPJ1

Answer:

0.709765 liters

Step-by-step explanation:

Step-by-step explanation:

side = 9 ft

the volume of a cube is

V = side³

if V decreases by a to V', then each side decreases by side - cubic root of V'.

V = 9³ = 729 ft³

V' = (729 - 0.3) ft³ = 728.7 ft³

side' = cubic root (728.7) = 8.998765263... ft

difference side - side' = 0.001234737... ft

so, the change rate at 9 ft is

0.001234737... ft/min.

Answer:

Y= -1/4x -1  3/4

or Y= -0.25x -1.75

Step-by-step explanation:

I got this by finding the distance between the points.

The distance is 8x and -2y

Divide that by 2 and you get 4 and -1 or -4/1

Then knowing that the slope is -0.25, you know that for each square the line goes down .25  That is how I found the y intercept.

In conclusion Y= -0.25x -1.75

Check the picture below.

Pool A is filling up slower than Pool B because slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit-rate in gallons per minute.

Graphs are an essential type of computing tool in mathematics. The nodes and edges that make up a graph are referred to as its elements. Whether "directed" or "undirected," nodes can only move through a graph in a single direction (either direction may be traversed from node to node).

In contrast to a chart, a graph is a representation of linked values in a multidimensional space. Graphs are helpful for examining the various relationships among specific data points.

A graph's search algorithm seeks out the shortest route between any two nodes. The best path is determined by an algorithm that considers the weight of each path on a graph.

Learn more about graph

brainly.com/question/17267403

#SPJ1

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

The sample mean of the number of movies watched by 25 students is 2.8 and the approximate sample standard deviation is 1.15.

(a) The sample mean X can be calculated by taking the average of the number of movies watched by all 25 students.

Step 1: Sum up the number of movies watched by all 25 students:

\(0 * 1 + 1 * 2 + 2 * 4 + 3 * 10 + 4 * 6 + 3 * 2 = 0 + 2 + 8 + 30 + 24 + 6 = 70\)

Step 2: Divide the sum from Step 1 by the number of students (25):

70 / 25 = 2.8

So the sample mean X = 2.8

(b) The sample standard deviation s can be calculated using the formula:

\(s = \sqrt{\frac{ \sum(X - X_{mean})^2}{(n-1)} }\)

Where \(X_{mean}\) is the sample mean, n is the sample size, and Σ represents the sum of all values.

Step 1: Calculate \((X - X_{mean})^2\)for each data point and sum up the values:

\((0 - 2.8)^2 * 1 + (1 - 2.8)^2 * 2 + (2 - 2.8)^2 * 4 + (3 - 2.8)^2 * 10 + (4 - 2.8)^2 * 6 + (3 - 2.8)^2 * 2\\ = 7.84 + 3.24 + 0.64 + 9.6 + 1.44 + 7.84\\ = 31.36\)

Step 2: Divide the sum from Step 1 by (n - 1) = 24:

31.36 / 24 = 1.31

Step 3: Take the square root of the result from Step 2:

\(\sqrt{1.31} = 1.15\)

So the approximate sample standard deviation s = 1.15 (rounded to two decimal places).

Learn more about deviation :

https://brainly.com/question/23907081

#SPJ4

The volume of a solid formed by revolving the region bounded above by the line is (932π/15)

To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.

The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:

\(r = y^2 - 1\)

The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:

h = 3 - 1 = 2

The volume of each disk is then:

\(dV = \pi r^2h dy\)

Substituting r and h, we have:

\(dV = \pi (y^2 - 1)^2 (2) dy\)

To find the total volume, we integrate over the range of y from 1 to 3:

\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)

This integral can be simplified by expanding the squared term:

\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)

V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)

V = 2π [(1/5)(242) - (2/3)(26) + 2]

V = 2π [(242/5) - (52/3) + 2]

V = 2π [(726/15) - (260/15) + 30/15]

V = 2π [(466/15)]

V = (932π/15)

To learn more about  Disk method :

https://brainly.com/question/29891838

#SPJ4

Note: The full question is

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.

Answer:-5

Step-by-step explanation:

IF X=-3,

THEN WE'LL WRITE -3 INSTEAD OF EVERY X;

-9+9-5=-5

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

Answer:

The answer is 3 miles, I had the same question

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

B

the answer for ur question is:

the answer for ur question is:B

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

Find out more on monthly amortization at https://brainly.com/question/26192602

#SPJ1

Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

for such more question on eggs

https://brainly.com/question/25863198

#SPJ11