Determine the principal stresses and the absolute maximum shear stress.

Random mean assignment involves randomly assigning participants to different groups, so that each group is similar in terms of characteristics such as age, gender, race, etc. This ensures that the groups are as similar as possible, reducing the chance of bias in the experiment.

Random mean assignment is an important procedure used in experiments to reduce experimenter and participant bias. This involves randomly assigning participants to different groups in the experiment, so that the groups are as similar as possible in terms of characteristics such as age, gender, race, etc. This ensures that any differences observed in the results are due to the experimental variables, rather than any pre-existing differences between the groups. Random assignment also ensures that any experimenter bias is minimized, as the experimenter is not able to select which participants go into which group. Random assignment is therefore a key procedure used to reduce the chance of bias in experiments, and ensure that the results are more reliable and valid.

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Answer:

Step-by-step explanation:

You need to know trigonometry for this.\

You can't solve this without a scientific calculator.

TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2

tan x = 5.1/4.2

arctant(tanx) = arctan(5.1/4.2)

x = arctan(5.1/4.2)

≈ 50.5°

arctan x is also known as tan inverse x

1.

a+6=6

Solving for a:

a = 0

a-5= -8

Solving for a:

a = -13

a x -10= 100

Solving for a:

a = -10

(5+2a) ÷ 17 = 3

Solving for a:

a = -4

2.

a) The dimensions of the field are 7m by 7m.

b) The perimeter of the field is 28m.

c) To find the area of the field, you could use the equation: length x width = area. In this case, the length and width are both 7m, so the equation would be 7m x 7m = 49m^23

3.

a) T | V

1 | 3

2 | 5

3 | 7

4 | 9

5 | 11

b) The pattern rule is that the value (V) is 2 greater than the previous value.

Answer:

Step-by-step explanation:

A)  The 95% confidence interval is:

     0.58 ± 0.062

B) At the 0.01 probability value, there is neither substantial evidence of a home-field  advantage in professional football (they won and over half of the games).

Now, According to the question:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × [tex]\frac{\sqrt{pq} }{n}[/tex]

Where:

z = The z score corresponds to the amount of confidence.

p = sample proportion.

q = probability of failure

q = 1 - p

p = x/n

Where

n = the number of samples

x = the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score,  The confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Thus,

1 - 0.025 = 0.975

The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.

As a result, the 95% confidence interval becomes

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) Earning more than half of the games equates to winning 120 games or more.

p = 120/240 = 0.5

The hypothesis test will be

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We need to find the values of  the test statistic which will be the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.

P value will be = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

The given question is incomplete, The complete question is this:

__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__

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As per the permutation, there are 5040 number of different ways are available for seating.

The term permutation in math is known as  a mathematical calculation of the number of ways a particular set can be arranged

Here we know that there are 8! ways that you can arrange 8 people.

Now here we have to imagine a specific arrangement.

Here we have consider that everyone get up and move one seat to their right.

Then in that arrangement was counted separately from the first one in the 8!

Here have to know that it’s really the same since if each person looks to their left and their right and here they’re sitting next to the same person. Then here there are 8 such “identical rotations” for each possible seating arrangement so the total number of seating's is calculated as,

=> 8! / 8

=> 7! = 5040.

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Answer:

Step-by-step explanation:

let 'x' represent the amount removed, then we require:

40-0.25 <= 48-x <= 40+0.25

which solves to:

7.75 <= x <= 8.25

the carpenter must saw off between 7.75 and 8.25 inches

(ii) 2.5 cm, 3.5 cm, 6.0 cm and (iii) 2.5 cm, 4.2 cm, 8 cm cannot be the sides of a triangle.

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

(i) 4.5 cm, 3.5 cm, 6.4 cm

4.5 + 3.5 = 8 > 6.4

4.5 + 6.4 =10.9 > 3.5

3.5 + 6.4 = 9.9 > 4.5

so these lengths can form a triangle.

(ii) 2.5 cm, 3.5 cm, 6.0 cm

2.5 + 3.5 = 6.0 = 6.0

2.5 + 6.0 = 8.5 > 3.5

3.5 + 6.0 = 9.5 > 2.5

so these lengths cannot form a triangle.

(iii) 2.5 cm, 4.2 cm, 8 cm:

2.5 + 4.2 = 6.7 < 8

2.5 + 8 = 10.5 > 4.2

4.2 + 8 = 12.2 > 2.5

so these lengths cannot form a triangle.

Therefore, (ii) and (iii) cannot be the sides of a triangle.

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Answer:

I don't know ooo y the same time that I can come get you if you want to

Answer:

5 notepads

Step-by-step explanation:

We know

Kristin spent $25 on a magazine and some notepads

1 magazine = $5

1 notepad = $4

$25 - $5 = $20

How many notepads did she buy?

We take

$20 divided by $4 = 5 notepads

So, she bought 5 notepads

Answer:

5 notepads

Step-by-step explanation:

25=4x+5

subract 5 from 25 and cancel out old 5

20=4x

divide by 4

20/4 = 5

The number of teaspoons of baking soda will be left will be 4 teaspoons.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Grace is making cookies. She has 6 tablespoons of baking soda left in the container. If she uses 2 teaspoons of baking soda for her recipe.

Then the number of teaspoons of baking soda will be left will be given as,

⇒ 6 - 2

⇒ 4

The number of teaspoons of baking soda will be left will be 4 teaspoons.

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Answer:

4 teaspoons is left.

Step-by-step explanation:

Now we have to,

→ find teaspoons of baking soda left.

Given information,

→ Total = 6 teaspoons

→ Used = 2 teaspoons

→ Left = x

Forming the equation,

→ 6 = x + 2

Then the value of x will be,

→ 6 = x + 2

→ x + 2 = 6

→ x = 6 - 2

→ [ x = 4 ]

Hence, the value of x is 4.

The correct steps in the solution of the fraction are;

We know that when we talk about a fraction what we mean is just a part of a whole. There are some steps that we would need in the solution of the question and the steps have not been arranged in the proper order in the image that is attached here.

The task that we have then is to be able to arrange the steps that we need to take in the proper order and as such, we are going to have that;

Step 1 ;  2 1/2y = 5/8

Step 2 ; 5/2 y = 5/8

Step 3 ; y = 5/8 . 2/5

Step 4 ; y = 10/40 or 1/4

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The correct option is A, the linear equation has no solutions.

Here we want to see how many solutions do the equation below has:

(1/4)*(8 - 24x) = 12 - 6x

Now let's try to solve that linear equation, we can start by simplifying the left side:

(1/4)*(8 - 24x) = 12 - 6x

8/4 - 24x/4 = 12 - 6x

2 - 6x = 12 - 6x

Now we can add 6x in both sides, so we will get:

2 - 6x + 6x = 12 - 6x + 6x

2 = 12

That is a false equation, thus, the equation has no solutions.

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In grade 7, one common method to solve absolute value equations is by isolating the absolute value on one side of the equation and then solving for the two possible solutions.

Here is a step-by-step process to solve an absolute value equation:

Isolate the absolute value on one side of the equation by adding or subtracting the same value to both sides of the equation.

For example, |x| = 3 can be rewritten as x = 3 or x = -3

Split the equation into two separate cases, one for when the value inside the absolute value sign is positive, and one for when it is negative.

Solve each case separately.

Check your solutions by plugging them back into the original equation and making sure they are valid solutions.

Write your answer in interval notation if the solutions are continuous or list them as individual values if they are not.

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c. The mode is the best measure to describe the typical or central value in this data set.

The data set consists of qualitative values, which means they are not in numerical form and cannot be used to calculate the mean or median. The mode is the best measure to describe the typical or central value because it identifies the value that occurs most often in the data set.

In this case, the value that occurs most often is ‘blonde’, which would be the mode. The mean and median cannot be used because they require quantitative data, such as numerical values, to be calculated.

Additionally, the data set does not have outliers, which would cause the mean to be skewed. By using the mode, we can accurately describe the typical or central value of this data set.

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Answer:

if m stands for number of tickets

then amount would be

12+2.75*m

14.75m

Step-by-step explanation:

Answer: The answer is C hope this helps :)

Step-by-step explanation:

The approximate height of the ball from where it is dropped will be 115 cm. Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The height of a ball after its second bounce was 80 cm. The ball had a rebound factor of 0.7. Then the height of the ball from where it is dropped is given as,

0.7h = 80

h = 80 / 0.7

h = 14.3 cm

h ≈ 115 cm

The approximate height of the ball from where it is dropped will be 115 cm. Then the correct option is C.

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Answer: well you need to divid

Step-by-step explanation: well by dividing you get a answer so like you compare if the answer you got is for all of them and if it is not you say it is not proportional

The number of ways that can she rank 9 applications should be 126.

What is the definition of combination in math?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Calculation of the number of ways:

Since A manager receives 9 applications for a specific position. She wants to narrow it down to 4.

So here we do apply the permutation here:

9*8*7*6/ 4*3*2

=126

Hence, The number of ways that can she rank 4 applications should be 126

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Equation for a line given a slope of 2/3 through the pt (-6,10) is y =  [tex]\frac{2}{3}[/tex] x + 16.

Given data :

The equation of a line in point slope form is

y - y1 = m ( x - x1 )

where m represents the slope and ( x1, y1 ) a point on the line here

m = 2 / 3 and  ( x1, y1 ) = ( -6, 10)

y - 10 = [tex]\frac{2}{3}[/tex] ( x - - 6 )

y - 10 = [tex]\frac{2}{3}[/tex] ( x + 6 )

y =  [tex]\frac{2}{3}[/tex] ( x + 6 ) + 10

y =  [tex]\frac{2}{3}[/tex] x + 16

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Step-by-Step Explanation:

We know,

[tex] \cos(angle) = \frac{base}{hypotenuse} [/tex]

Here, angle = 60°, base = 5, hypotenuse = x

Therefore,

[tex] \cos(60) = \frac{5}{x} \\ = > \frac{1}{2} = \frac{5}{x} \\ = > x = 5 \times 2 \\ = > x = 10[/tex]

Answer:

10

Hope it helps.

The solution for x in triangle is,

⇒ x = 10

We have to given that;

A triangle is shown in figure.

Since, A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Now, We can use the trigonometry formula to find the value of x as;

⇒ cos a = Base / Hypotenuse

Substitute a = 60°, base = 5 , hypotenuse = x in above equation,

⇒ cos 60° = 5 / x

⇒ 1 / 2 = 5 / x

⇒ x = 5 × 2

⇒ x = 10

Thus, The solution for x in triangle is,

⇒ x = 10

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The rate of change is -1/2

Initial point is (-2,-1)

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Consider any two pairs of points:

(-2,-1)  and (0,-2)

The slope is the same as the rate of change

Rate of change = change in y values/change in x values

                         = (-2 - (-1) ) / (0-(-2))

                         = ( -2 + 1) / (+2)  

Rate of change  = (-1/2)

The rate of change is -1/2

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Check the picture below.

Therefore , as a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.

The Z-statistic, that exhibits the typical normal null hypothesis is true, has been the statistical test for something like a Z-test. Let's say you do a two-tailed X y with a 0.05 significance level and get a 2.5 Z-statistic (also known as a Z-value) depending on your data. The p-value for this Z-value is 0.0124.

Here,

Given :

the following characteristics

The ratio of the sample size n = 900 p equals 0.6 * 900 = 540 p = 540/900 p = 0.6 E = 2.7% = 0.027.

The answer to the above problem is:

=> 0.027 = z* 0.6(1-0.6)/900

=> 0.027 = z* (0.24/900)

=>0.027 = z* 0.00163

=>0.027/0.0163 = z

=>z = 1.65

As a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.

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[tex]\cfrac{22}{3}x=\cfrac{1.6}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{\frac{16}{10}}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{16}{10}\cdot \cfrac{11}{6}\implies \cfrac{22x}{3}=\cfrac{8}{5}\cdot \cfrac{11}{6}[/tex]

[tex]\cfrac{22x}{3}=\cfrac{8}{6}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{4}{3}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{44}{15} \\\\\\ \stackrel{\textit{multiplying boths sides by }\stackrel{LCD}{15}}{15\left( \cfrac{22x}{3} \right)=15\left( \cfrac{44}{15} \right)}\implies 110x=44\implies x=\cfrac{44}{110}\implies \boxed{x=\cfrac{2}{5}}[/tex]

Answer: The slope of the line that passes through the points (-8, -6) and (-8, 4) is undefined. This is because the line is a vertical line and the difference in y-coordinates is 0, making the denominator of the slope equation 0. The slope of a vertical line is undefined.

Step-by-step explanation:

we are looking for a point to the right of (4,7), the point P is (15/2, x+3) = (15/2, 21/2).

What is polynomial ?

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Let P = (x, y) be a point on L that is four times as far from (2, 5) as it is from (4, 7). Since L contains P, we know that y = x + 3. We also know that the distance from P to (2, 5) is 4 times the distance from P to (4, 7). Using the distance formula, we get:

(x - 2)^2 + (y - 5)^2 = 4[(x - 4)^2 + (y - 7)^2]

Plug in y = x+3 and simplify the equation as ,

(x-2)^2 + (x+3-5)^2 = 4(x-4)^2 + 4(x+3-7)^2

x^2 - 4x + 4 + x^2 - 6x + 9 = 4x^2 - 32x + 48 + 4x^2 - 24x + 36

2x^2 - 30x + 97 = 0

Solving for x, we have x = 15/2 or x = -3/1

Since we are looking for a point to the right of (4,7), the point P is (15/2, x+3) = (15/2, 21/2).

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The midpoint [tex]s_{2}[/tex] is = (0,4).

Midpoint refers to a point that is in the middle of the line connecting two points. The two mentioned points are the endpoints of a line and the midpoint is lying in between the two points. The midpoint divides the line connecting these two points into two equal halves

According to the question,

The endpoints [tex]s_{2}[/tex] are 2 units to the right and 3 units up from the endpoints [tex]s_{1}[/tex].

[tex]s_{1}[/tex] has endpoints at  (4, 1)  and  (-8, 15).

[tex]s_{2}[/tex] has endpoints at  (4+2, 1+3)  and  (-8+2, 1 +3)

[tex]s_{2}[/tex]  has endpoints at  (6, 4)  and  (-6, 4).

The midpoint of [tex]s_{2}[/tex] = [tex](\frac{6-6}{2} , \frac{4 + 4}{2} )[/tex] = ( 0, 4)

So, the midpoint [tex]s_{2}[/tex] is = (0,4).

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Answer:

20° , 40° , 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 6 = 9 parts

divide the sum of the angles in a Δ , 180° by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

2 parts = 2 × 20° = 40°

6 parts = 6 × 20° = 120°

the 3 angles are 20° , 40° and 120°

Therefore , the solution of the given problem of ratio comes out to be 2:3 for the following cylinder and sphere.

An order pair of values "a" and "b" can be expressed with the straightforward formula "a / b," with "b" must be no bigger than zero. A ratio is created by adding two ratios together. In the event when there was only one guy and three women, the proportion might be shown as 1:3. 1/4 of the group are guys, and 3/4 are girls. A part can be a statistic, a portion of a thing's volume, or a division among two or more things.

Here,

Here, a sphere is engraved within a cylinder of height h=2r.

Sphere volume =>

4/3πr³.

and Cylinder Volume =πr²h = πr²(2r) = πr³

Volume of the sphere divided by the volume of the cylinder is equal to or greater than

=>4πr³/ 3×2πr³

=>2:3

Therefore , the solution of the given problem of ratio comes out to be 2:3 for the following cylinder and sphere.

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