In a lot of 15 truss rods, 12 meet a tensile strength specification. 6 rods are chosen at random to be tested. Let X be the number of tested rods that meet the specification.
Find P(X = 3).
Find σX.

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer:

9inches

Step-by-step explanation:

edge 2021

We can write the inequality involving absolute value to express the statement as:

|x - 52| ≤ 39  Where x is the temperature in degrees Fahrenheit.

The inequality involving absolute value to express the statements are:

A. The weatherman predicted that the temperature would be within 39 of 52°F.

We can write the inequality involving absolute value to express the statement as:

|x - 52| ≤ 39

Where x is the temperature in degrees Fahrenheit.

This absolute value inequality states that the temperature should be within 39°F of 52°F. Hence, the temperature can be 13°F or 91°F. However, if the temperature goes beyond these limits, then it is not within 39 of 52°F.B. Serena will make the B team if she scores within 8 points of the team average of 92.

We can write the inequality involving absolute value to express the statement as:

|x - 92| ≤ 8

Where x is the score obtained by Serena. This absolute value inequality states that the score obtained by Serena should be within 8 points of the team average of 92. Hence, if the average score is 92, then Serena can score between 84 and 100. However, if Serena's score goes beyond these limits, then she will not make it to the B team.

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Step-by-step explanation:

The answer is 60°

because

360÷6 = 60

muchas gracias me ayudas te

Answer and Step-by-step explanation:

No, you don't have to pay for anything to get expert-verified answers on your questions.

I'm not completely sure, but it could raise the chances of getting your answers to be that, or to have other people with those types answer your questions.

But no, you don't have to pay for anything. I didn't have to pay for anything and I got my answers to be expert verified in the past.

#teamtrees #PAW (Plant And Water)

To differentiate F(y) = 1/ y^2 − 9 /y^4 (y + 5y^3), we need to use the quotient rule of differentiation. Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

The quotient rule states that the derivative of a quotient of functions is equal to the numerator's derivative multiplied by the denominator minus the denominator's derivative multiplied by the numerator, all divided by the denominator squared.

Using this rule, we can find the derivative of F(y) as follows:

F'(y) = [(d/dy) (1/ y^2) * (y^4(y + 5y^3)) - (d/dy) (y^4(y + 5y^3)) * (1/ y^2)] / (y^4(y + 5y^3))^2

Simplifying this expression, we get:

F'(y) = [(-2y^3(y + 5y^3))/(y^4(y + 5y^3))^2 - (y^4(1 + 15y^2))/(y^2(y^4(y + 5y^3))^2)]

= [(-2y^3(y + 5y^3)) - (y^4(1 + 15y^2))] / (y^6(y + 5y^3))^2

= (-2y^4 - 10y^6 - y^4 - 15y^6) / (y^6(y + 5y^3))^2

= (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2

Therefore, the derivative of F(y) is F'(y) = (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2.
To differentiate the function F(y) = 1/y^2 - 9/y^4 (y + 5y^3), you can apply the power rule and the chain rule.

Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

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The option fourth is the answer after rationalization of the difference quotient.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm g(x) = \sqrt{x}\)

x > 0

Difference quotient:

\(= \rm \dfrac{f(x+h)-f(x)}{h}\)

f(x+h) = √(x+h)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\times \dfrac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}\)

\(= \rm \dfrac{1}{\sqrt{x+h}+\sqrt{x}}\)

Thus, the option fourth is the answer after rationalization of the difference quotient.

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Answer: 66

Step-by-step explanation:

11 beats in 6 seconds means you mulitiply the beats times the seconds

Answer:

\(a=5m\)

Step-by-step explanation:

\(m=\frac{a}{5}\)

Swap sides:

\(\frac{a}{5}=m\)

Multiply both sides by 5:

\(\frac{5a}{5}=5m\)

\(a=5m\)

Answer:

a= 5m

Step-by-step explanation:

a/5=m

5(a/5)=5(m)

a= 5m

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

\(A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25\)

Area of triangle with angle of 50°:

\(A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575\)

Area of the rest of the figure:

\(A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087\)

Therefore:

                  \(A=A_1+A_2+A_3=6.25+9.575+61.087=76.912\)

Answer:

Minimum

Need to know:

Derivative power rule: d/dx xⁿ = nxⁿ⁻¹

Derivative constant rule: d/dx c = 0

Step-by-step explanation:

A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.

If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.

Another way to determine this is through calculus.

First, we have to find the point of extremum

Find the derivative of the given equation

d/dx 4x² -  3x - 43

You can separate the terms and solve them individually

d/dx 4x² = 4(2)(x²⁻¹) = 8x

d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3

d/dx -43 = 0

y' = 8x - 3

Set y' to equal 0

8x - 3 = 0

Add 3 to both sides

8x - 3 = 0

    + 3   + 3

8x = 3

Divide both sides by 8

8x/8 = 3/8

x = 3/8

There is only one point of extremum

Now we have to test whether the equation changes from negative to positive or positive to negative

If it changes from negative to positive, that point is a minimum

If it changes from positive to negative, that point is a maximum

To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.

y' = 8(0) - 3 = -3

Now we will do the same for a number larger than 3/8. We'll use 1

y' = 8(1) - 3 = 5

Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.

Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, the values of the parameters are:

n = 5, p = 0.55

The probability that at least one of them has been vaccinated is given by:

\(P(X \leq 1) = 1 - P(X = 0)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185\)

Then:

\(P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815\)

0.9815 = 98.15% probability that at least one of them has been vaccinated.

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Answer:

14 times.

Step-by-step explanation:

It is how many times 1/4 go in 3 1/2.

3 1/2 as an improper fraction is 7/2.

To make them have the same denominator, we have to change 7/2.

7 x 2 = 14

2 x 2 = 4

So, how many times does 1/4 go in 14/4?

14 times.

Answer:

- 310.5/100

Step-by-step explanation:

Answer:

-310 1/2

Step-by-step explanation:

hope this helps :)

The graph that represent the inequality is C.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequality and then represent it on a number line.

Therefore,

16x - 80x < 37 + 27

-64x < 64

divide both sides by -64

The inequality sign will change to the opposite when we divide both sides by a negative number.

x > 64 / -64

x > - 1

Therefore, the answer to the inequality is C.

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Answer:

x = -4 and y = 0

Step-by-step explanation:

We can solve the system of equations by substitution or elimination. Here, we will use the substitution method.

First, we will solve for y in the first equation:

y = -16 - 4x

Next, we will substitute this expression for y into the second equation:

2x - 3y = -8

2x - 3(-16 - 4x) = -8

2x + 48 + 12x = -8

14x = -56

x = -4

Now that we have found the value of x, we can substitute it back into the first equation to solve for y:

y = -16 - 4x

y = -16 - 4(-4)

y = -16 + 16

y = 0

Therefore, the solution to the system of equations is x = -4 and y = 0.

Answer:

(- 4, 0 )

Step-by-step explanation:

4x + y = - 16 → (1)

2x - 3y = - 8 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

12x + 3y = - 48 → (3)

add (2) and (3) term by term to eliminate y

(2x + 12x) + (- 3y + 3y) = - 8 - 48

14x + 0 = - 56

14x = - 56 ( divide both sides by 14 )

x = - 4

substitute x = - 4 into either of the 2 equations and solve for x

substituting into (1)

4(- 4) + y = - 16

- 16 + y = - 16 ( add 16 to both sides )

y = 0

solution is (- 4, 0 )

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The side TU of the right triangle is 156.15 metres and the area of the triangle is  6168.07 metres squared.

The side GH of the right triangle is 182.33 metres and the area of the triangle is  8934.27 metres².

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The missing side of the right triangle can be found using Pythagoras's theorem.

Therefore,

a² + b² = c²

where

The area of the right triangle can be found using the formula as follows:

area of a triangle = 1 / 2 bh

where

Hence,

1.

TU² = 175² - 79²

TU² = 30625 - 6241

TU² = 24384

TU = √24384

TU = 156.153770368

TU = 156.15 metres

Area = 1 / 2 × 156.15 × 79

area = 6168.07392952

area = 6168.07 metres squared

2.

GH² = 207² - 98²

GH² = 42849 - 9604

GH = √33245

GH = 182.33211456

GH = 182.33 metres

Area of the triangle  = 1 / 2 × 98 × 182.33

Area of the triangle  = 8934.27361345

Area of the triangle  = 8934.27 metres²

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As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

\(\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\)

Therefore, the image of triangle UVW would be given by this matrix:

\(\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\) \(\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]\)

Image = \(\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]\)

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

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Answer:

hi friend

Step-by-step explanation:

Answer:

12x -36yz

Step-by-step explanation:

hope this helps!

Hello!

In order to simplify this expression, all we have to do is multiply 3 times the terms inside the parentheses:

3(4x-12yz)

12x-36yz

That's the final answer, because there are no like terms here, so we cannot simplify this expression any further.

Hope everything is clear.

Let me know if you have any questions!

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Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

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The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475

To write an equation that represents the situation, you can use the information given in the problem. The total cost of the field trip, $475, covers the rental fees for 50 students, and the rental fee for one pair of skates is $6. Since the cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student, you can write an equation as follows:

50 * ($6 + r) = $475

This equation represents the situation in which the Student Council is organizing a field trip for 50 students, and the total cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student. The unknown quantity, "r", represents the rental fee for one locker.

Therefore, The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{\sqrt{49} + 2\times6}}\\\\\huge\boxed{= \mathsf{\bold{7}+ 2\times6}}\\\\\huge\boxed{= \mathsf{7 + \bf 12}}\\\\\huge\boxed{\mathsf{= \bf 19}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{19}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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Answer:

The answer is "156".

Step-by-step explanation:

According to the question, the 144 square root equals 12. The 169 square root equals 13, and by extending the estimated price of blackness, only at the nearest entry, has been a little or less halfway between both the 144 square root and the 169 square root estimated, at 156 square root, that's why 156 is the correct answer.

Answer:

2/5 or 40% chance

Step-by-step explanation: