CAN SOMEONE PLEASEEEE HELP/EXPLAIN THIS ASAP !!!

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

To know more about Standard Deviation here

https://brainly.com/question/13498201

#SPJ4

To determine the minimum thickness of the iron, we need to calculate the diffusion flux of hydrogen through the iron and equate it to the maximum allowed hydrogen loss.

The diffusion flux (J) of hydrogen through a material can be calculated using Fick's first law of diffusion:

J = -D * (∆C/∆x)

Where:

J is the diffusion flux

D is the diffusion coefficient of hydrogen in iron

∆C is the difference in hydrogen concentration across the thickness (∆C = C1 - C2)

∆x is the thickness of the iron

We are given:

Maximum allowed hydrogen loss = 50 g/cm²/year

Temperature (T) = 400 °C (673 K)

Hydrogen concentration at surface 1 (C1) = 0.05 H atom per unit cell

Hydrogen concentration at surface 2 (C2) = 0.001 H atom per unit cell

First, we need to convert the hydrogen concentrations into a common unit. The atomic mass of hydrogen (H) is approximately 1 g/mol. The number of atoms in a unit cell for BCC iron is 2.

Concentration in g/cm³:

C1 = (0.05 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.025 g/cm³

C2 = (0.001 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.0005 g/cm³

Now, we can calculate the difference in hydrogen concentration across the thickness:

∆C = C1 - C2 = 0.025 g/cm³ - 0.0005 g/cm³ = 0.0245 g/cm³

Next, we need to determine the diffusion coefficient of hydrogen in iron at 400 °C. The diffusion coefficient can be estimated using the following equation:

D = D0 * exp(-Q/RT)

Where:

D0 is the pre-exponential factor

Q is the activation energy for diffusion

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

For hydrogen diffusion in iron, typical values are:

D0 = 5 x 10^-7 cm²/s

Q = 40,000 J/mol

Plugging in the values:

D = (5 x 10^-7 cm²/s) * exp(-40000 J/mol / (8.314 J/(mol·K) * 673 K))

D ≈ 2.70 x 10^-12 cm²/s

Now, we can substitute the values into Fick's first law of diffusion and solve for the thickness (∆x):

J = -D * (∆C/∆x)

Rearranging the equation:

∆x = -D * (∆C/J)

Substituting the given values:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year))

Converting the year unit to seconds:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year)) * (1 year / 3.1536 x 10^7 s)

Calculating:

∆x ≈ -0.000347 cm ≈ 3.47 μm

The negative sign indicates that the thickness (∆x) is measured in the opposite direction of the hydrogen diffusion. Thus, the minimum thickness of the iron required to limit the hydrogen loss to no more than 50 g per year through each square cent.

#SPJ11

Learn more about Fick's first law of diffusion:

https://brainly.com/question/31725599

Answer:

Webca-mtoy.com   webca-mera.io       I only know 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 6r - 12 + 6r + 11 = 11

Combine like terms

6r + 6r - 12 + 11 = 11

           12r - 1 = 11

                12r = 11 + 1

               12r = 12

                  r =12/12

                 r = 1

2) 8m + 5 + 13m - 5 = 42

  8m + 13m + 5 - 5 = 42

                    21m +0 = 42

                         21m = 42

                             m = 42/21

                           m = 2

3) 4x + 5 + 5x + 6 = 29

   4x + 5x + 5 + 6 = 29

              9x + 11 = 29

                 9x = 29 - 11

                 9x = 18

                   x = 18/9

x = 2

Answer:

r = 1   m = 2  x = 2

Step-by-step explanation:

1. 6(1)-12+6(1)+11=11

2. 8(2)+5+13(2)-5=42

3. 4(2)+5(2)+6=29

Answer:

\( 89 \times \frac{61}{100} = \frac{5429}{100} = 54.29\)

89+54.29=143.29

Answer:

3

Step-by-step explanation:

slope of the line, m = (y2 - y1 ) / ( x2 - x1 )

= (-19 + 10 ) / (-7 + 4)

= -9 / -3

= 3

For the given relation for (x , y) ∈R if x ≥ y defined on the set of positive integers only transitive relation holds true.

As given in the question,

Given (x , y) ∈R

To check whether relation reflexive, symmetric, antisymmetric, transitive, and/or a partial order is true or not:

a. Reflexive : If (x, x)∈R for all x ∈R

x ≥ x for all x ∈ R which is not true.

b. Symmetric : If 'x' is related to 'y' then 'y' is also related to 'x' for all      (x, y) ∈R.

Here, x ≥ y ⇒ y ≥ x for all (x, y) ∈R , which is not true.

c. Antisymmetric : If 'x' is related to 'y' and 'y' is related to 'x' then x = y for all (x , y)∈ R.

Here, x ≥ y and y ≥ x ⇒ x = y is not true.

Not antisymmetric.

d. Transitive: If 'x' is related to 'y' and 'y' is related to 'z' then 'x' is related to 'z' for all x, y, z ∈R.

Here,  x ≥ y , y ≥ z ⇒ x ≥ z for all x, y, z ∈R.

True.

Therefore, for the given relation for (x , y) ∈R if x ≥ y defined on the set of positive integers only transitive relation holds true.

The complete question is:

Determine whether the relation is reflexive, symmetric, antisymmetric, transitive, and/or a partial order.

(x, y)∈R if x ≥ y when defined on the set of positive integers.

Learn more about relation here

brainly.com/question/16862336

#SPJ4

A randomization test with 10,000 randomizations found that the absolute difference between group means was greater than or equal to 2 mm in 490 of the randomizations. We can conclude that there was a marginally significant difference between groups (p = 0.049).

Randomization tests are used to examine the null hypothesis that two populations have similar characteristics. The hypothesis testing approach used in statistics is a formal method of decision-making based on data. In hypothesis testing, a null hypothesis and an alternative hypothesis are used to determine if the results of the data support the null hypothesis or the alternative hypothesis. A p-value is calculated and compared to a significance level (usually 0.05) to determine whether the null hypothesis should be rejected or not. In this scenario, the difference in mean size between shells taken from sheltered and exposed reefs was found to be 2 mm. A randomization test with 10,000 randomizations found that the absolute difference between group means was greater than or equal to 2 mm in 490 of the randomizations. Since the number of randomizations in which the absolute difference between group means was greater than or equal to 2 mm was less than the significance level (0.05), we can conclude that there was a marginally significant difference between groups (p = 0.049).

We can conclude that there was a marginally significant difference between groups (p = 0.049).

To know more about alternative hypothesis visit:

brainly.com/question/30535681

#SPJ11

We can reject the null hypothesis and conclude that there is a marginally significant difference between groups (p = 0.049)

To solve this problem, we need to perform a hypothesis test where:

Null Hypothesis, H0: There is no difference between the two groups.

Alternate Hypothesis, H1: There is a difference between the two groups.

Here, the mean difference between the two groups is given to be 2 mm. Also, we are given that 490 out of 10000 randomizations have an absolute difference between group means of 2 mm or more.

The p-value can be calculated by the following formula:

p-value = (number of randomizations with an absolute difference between group means of 2 mm or more) / (total number of randomizations)

Substituting the given values in the above formula, we get:

p-value = 490 / 10000p-value = 0.049

Therefore, the p-value is 0.049 which is less than 0.05. Hence, we can reject the null hypothesis and conclude that there is a marginally significant difference between groups (p = 0.049).

The correct option is (e) There was a marginally significant difference between groups (p = 0.049).

To know more about alternate hypothesis visit:

brainly.com/question/29511315

#SPJ11

Answer:

3.333333....

Step-by-step explanation:

The formula for the distance between two points

Applying to points

Answer:

the square means those to lines make a 90 degree angle aka. right angle

Step-by-step explanation:

Answer:

Sine of x = \(\frac{\sqrt{288} }{18}\)

Cos of x = 6 / 18

Step-by-step explanation:

To solve this:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:

\(a^{2} + b^{2} = c^{2}\)

In any right angled triangle, for any angle:

The sine of the angle = the length of the opposite side / the length of the hypotenuse

The cosine of the angle = the length of the adjacent side / the length of the hypotenuse

In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18

So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)

And to find the cos of x, we would do 6 / 18

Hope this helps!! Pls mark as brainliest, ty.

Answer:

The answer is 3 ft

Step-by-step explanation:

3×9=27

Hope it helps :)

Step-by-step explanation:

1st term = 8-1 = 7

2nd term = 8-2 = 6

3rd term = 8-3 = 5

First negative term = 8-(-1) = 9

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

Answer:

d = 3; c = -2

Step-by-step explanation:

-4c+7d=29

6c+4d=0

using the second equation we express C:

6c = -4d => c = -4/6 d

substitute the resulting value into the first equation:

4 * 4/6 d + 7d = 29

58d/6 = 29

58d = 174

d = 3

now find the value of C:

c = - 4/6 * 3 = -12/6

c = -2

Increasing the standard deviation from 21.4 to 42.8 would double the width of the confidence interval.

The width of a confidence interval is affected by several factors, including the sample size, the level of confidence, and the standard deviation. In this scenario, if the standard deviation of the tests had been 42.8 points instead of 21.4 points, it would have doubled.

When the standard deviation of a sample increases, it indicates that the data points are more spread out and there is more variability within the sample. This increased variability results in a wider confidence interval.

In other words, a larger standard deviation would lead to a wider range of possible values in the confidence interval, indicating less precision and a lower level of confidence in the estimated population parameter. Therefore, increasing the standard deviation from 21.4 to 42.8 would increase the width of the confidence interval by a factor of 2.

Learn more about factors

brainly.com/question/14209188

#SPJ11

Translations, reflections, and rotations produce a figure that is congruent to the original figure.

When we perform translations, reflections, and rotations on a figure, the resulting figure maintains the same size, shape, and orientation as the original figure. In other words, the transformed figure is congruent to the original figure.

Here's a brief explanation of each transformation:

1. Translations: A translation involves sliding a figure in a particular direction without changing its orientation or shape. Every point of the figure moves the same distance and direction. The resulting figure is congruent to the original because all corresponding sides and angles remain the same length and measure.

2. Reflections: A reflection involves flipping a figure over a line, called the line of reflection. Each point of the figure is mirrored across the line, creating a symmetrical image. The resulting figure is congruent to the original because the distance between corresponding points remains the same, and the angles formed between intersecting lines are preserved.

3. Rotations: A rotation involves turning a figure around a fixed point, known as the center of rotation. The figure is rotated by a specific angle in a clockwise or counter clockwise direction. The resulting figure is congruent to the original because all corresponding angles and side lengths remain unchanged.

In each of these transformations, the congruency of the resulting figure to the original figure is a fundamental property. Congruent figures have the same shape and size, even though they may be positioned differently in space. This property allows us to apply the concept of congruence in geometry to establish relationships, prove theorems, and solve geometric problems.

Therefore, when we perform translations, reflections, and rotations on a figure, we produce a transformed figure that is congruent to the original figure.

To learn more about congruent

https://brainly.com/question/26085366

#SPJ11

Answer:

57.1 %

Step-by-step explanation:

3 blue 4 red

7 in total

red 4/7

4÷7 = 0.5714285714

round up 57.1%

Answer:

The answer is C : 2

Hope this helps!

The probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 8.08%

The CLT states that the distribution of the sample means of a random variable with a finite mean and standard deviation approaches a normal distribution as the sample size increases.

In this case, the population mean is 0.5, and the population standard deviation is 0.7. Since we have a sample size of 50, the standard deviation of the sample means would be

=> 0.7 / √(50) = 0.099.

Next, we need to calculate the z-score, which measures the number of standard deviations from the mean.

In this scenario, we want to find the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. So, we would plug in x = 0.6, μ = 0.5, σ = 0.7, and n = 50 into the z-score formula. This gives us

=> (0.6 - 0.5) / (0.7 / √(50)) = 1.41.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.41 or higher is approximately 0.0808. Therefore, the estimated probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 0.0808 or about 8.08%.

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

Complete Question:

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed, with a mean of 0.5 and a standard deviation of 0.7. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6.

Based on the definition of congruent angles, the value of x is: 23.

Congruent angles have the same measure. Examples of angles that are congruent are:

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

Learn more about congruent angles on:

https://brainly.com/question/1675117

thx for the free points ig

Answer:

Crazy Story

Step-by-step explanation:

Crazy Story.02  and the one on lildruky

The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

To know more about discount visit:

https://brainly.com/question/1548141

#SPJ1

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

Answer:

Step-by-step explanation:

If F(x) is postive, then f(x) is increasing

If F(x) is negative, then f(x) is decreasing

F(x) is the integral/antiderivative of f(x)

The statistical statement that would need to be made if a researcher wants to demonstrate that their findings depict a significant difference between participant groups is option "a. p ≤ 0.05".

P value (probability value) is the most common index of statistical significance, which determines whether or not a study's findings are statistically significant. The p value denotes the likelihood of obtaining the study's findings due to chance, and is often contrasted to the alpha level to establish whether or not the outcomes are statistically significant.

An alpha level of 0.05 is commonly used in research, indicating that there is a 5% likelihood of obtaining the study's findings purely by chance. This alpha level is often denoted by p ≤ 0.05. When the p value is less than or equal to 0.05, it indicates that the findings are statistically significant.

Therefore, if a researcher wants to demonstrate that their findings depict a significant difference between participant groups, the appropriate statistical statement to make is "p ≤ 0.05."

To know more about researcher refer here:

https://brainly.com/question/24174276#

#SPJ11

Answer:

If x < -12, then (-x) > 12, and we have:

x - (-12) = x + 12

So, the simplified expression without using the absolute value symbol is:

x + 12

Step-by-step explanation:

Answer:

Since x is less than -12, then x-(-12) = x+12.

Here is a table of values for x and x-(-12):

x | x-(-12)

-13 | -1

-14 | -2

-15 | -3

...

Step-by-step explanation:

Answer:    x < y-2/3

Step-by-step explanation: Switch sides: 3x + 2 < y

                                              Subtract 2 from both sides

                                                 simplify

                                                   divide both sides by 3

                                                            x < y-2/3