Graph the line that has a slope of -4/3 and includes the point ( -6,2) ​

Step-by-step explanation:

Here's the answer I hope it will help u

A. \( I_{xx} = \frac{b h^3}{36}\) \(\(      I_{yy} = \frac{h b^3}{36}\)

B. \( I_{xx} = I_{yy} = \frac{\pi r^4}{4}\)

1.1 Triangular cross-section

The centroid of a triangular cross-section is located one-third of the way from the base to the vertex. The following figure depicts the centroid of the triangular cross-section.

\( \bar{y} = \frac{h}{3} \)

In the figure, the centroid is located at a distance of \( \frac{h}{3} \)from the base of the triangle. Since the area of the triangle is given as

\( A = \frac{1}{2}bh \),

we can compute the second moment of the triangle about the x-axis, \( I_{xx} \), and the y-axis, \( I_{yy} \), as:

\( I_{xx} = \frac{b h^3}{36}\)\(\( I_{yy} = \frac{h b^3}{36}\)\)

1.2 Circular cross-section

The centroid of a circular cross-section lies at the center of the circle. The following figure depicts the centroid of the circular cross-section: \( \bar{x} = 0 \) \( \bar{y} = 0 \)

The moment of inertia of a circular cross-section about the x-axis and y-axis, \( I_{xx} \) and \( I_{yy} \), are equivalent and can be given by:

\( I_{xx} = I_{yy} = \frac{\pi r^4}{4}\)

Where \( r \) is the radius of the circular cross-section.

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The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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The probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

According to the given question.

Total number of cards in a deck is 52.

As we know that total number of red cards in a well shuffled deck is 26.

Since, Eric first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Which means there is a replacement of cards.

So, the probability of drawing the first card is red = 26/52 = 1/2

And the probability of drawing the another card is red = 26/52 = 1/2

Therefore,

The probability of drawing a red card, placing it back in the deck, and drawing another red card

= 1/2  × 1/2

= 1/4

Hence, the probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

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Answer:

Step-by-step explanation:

To determine if there is a positive linear association between the hours worked and the daily wages of waiters in a restaurant, you can create a scatter plot of the data and look for a pattern.

Once you have the data, you can use a statistical software or a spreadsheet program to create a scatter plot. You can then visually inspect the scatter plot to see if there is a clear pattern of a positive linear association between the two variables.

If there is a positive linear association, the data points on the scatter plot will form a roughly straight line that slopes upwards from left to right. The closer the data points are to the line, the stronger the association.

So, the data table that indicates a positive linear association between the hours worked and the daily wages of waiters in a restaurant is the one where the scatter plot shows a clear upward trend.

Answer:

7%

Step-by-step explanation:

The ladder must be extended to 43.3418 feet long to reach Jessie if the

angle of depression is 42°

The angle of depression is the angle formed when an object is observed from a horizontal line and the horizontal line. Basically, it is used to determine the separation between two things when we are aware of the angles and the height of the item above the ground.

The angle of depression is the angle formed between the line of sight down to an object and the horizontal line of sight. You could measure the angle of depression, for instance, if you were looking down at an object from a hilltop or a structure. These angles can be measured with a theodolite or clinometer.

Given,

Angle of depression d=42°

And the base of the ladder is 5 feet above the ground.

|BC|=|AB|/sin d

|AB|=34-5

|BC|=29/sin 42°

|BC|=29/0/6691

|BC|=43.3418 feet

Therefore, the ladder must be extended to 43.3418 feet long to reach

Jessie.

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There is no danger of a collision, as the two paths will never met, due to the negative discriminant of the quadratic function.

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

The equations for this problem are given as follows:

Replacing the first equation into the second, we have that:

x + x² + 1 = -4

x² + x + 5 = 0.

The coefficients are:

a = 1, b = 1, c = 5.

Hence the discriminant is of:

Δ = 1² - 4 x 1 x 5

Δ = -19.

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Answer:

Let c = number of child tickets

a = number of adult tickets

5.70c + 9.10a = 972.50

c + a = 139

5.70(139 - a) + 9.10a = 972.50

792.30 - 5.70a + 9.10a = 972.50

792.30 + 3.40a = 972.50

3.40a = 180.20

a = 53, c = 86

53 adult tickets and 86 child tickets were sold that day.

-0.457 .

To calculate the standard deviation needed for 96% of the boxes to contain 24 ounces or more, you can use the z-score formula. This formula is used to calculate the number of standard deviations away from the mean a data point is.

In this case, the mean is 24.8 ounces and the desired data point is 24 ounces. To get the standard deviation, the following equation can be used:
z = (x - μ)/σ

Where x is 24, μ is the mean (24.8), and σ is the standard deviation.

Rearranging the equation to solve for σ, the standard deviation can be calculated as:
σ = (x - μ)/z

Since we want to calculate the standard deviation for 96% of the boxes containing 24 ounces or more, we can use the z-score of 1.75. Substituting this into the equation:
σ = (24 - 24.8)/1.75 = -0.457

Therefore, the standard deviation needs to be -0.457 in order for 96% of the boxes to contain 24 ounces or more.

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Okay, here we have this:

Considering the provided triangle which is a right triangle, we are going to use the pythagorean theorem to find the measure of the missing side, so we obtain the following:

Finally we obtain that the correct answer is the first option.

Answer:

D

Step-by-step explanation:

plug in the x values each time and solve for f(x) which is also known as the y value.

f(x)=y

Answer:

D?

Step-by-step explanation:

Mendelian genetics uses probability pedigrees and chi-square statistics to study the patterns of inheritance of traits. Probability pedigrees are diagrams to calculate chance of inheritance, while chi-square statistics is a test to compare observed data to expected results.

Mendelian genetics is the study of inheritance patterns of traits from parent to offspring. It is based on the work of Gregor Mendel, a 19th century monk and scientist who studied the inheritance of traits in pea plants. Probability pedigrees are diagrams that can be used to calculate the chance of a certain trait being passed down from generation to generation. These diagrams represent the relationships between family members, and the likelihood of a trait being inherited from a parent. Chi-square statistics is a statistical test used to compare observed data to expected results. This is often used to determine the likelihood that an observed trait is inherited from a parent. The chi-square test is used to measure the amount of deviation from the expected, and can help to identify patterns of inheritance. By using probability pedigrees and chi-square statistics, researchers can gain a greater understanding of the patterns of inheritance in a population. This knowledge can be used to develop strategies to prevent or treat diseases that have a genetic component.

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Answer:

The answer is A

Negative 21 divided by negative 1.4

Step-by-step explanation:

Answer:

A its probably wrong but tell me if is

Step-by-step explanation:

Answer: It's not possible to determine the range of the data from the given stem and leaf plot without additional information.

A stem and leaf plot shows the individual data points in a distribution along with their place value. However, it does not show the full range of the data.

To find the range of the data, you would need to know the smallest and largest values in the dataset. Without that information, it's impossible to determine the range based solely on the stem and leaf plot.

For example, the data could include values greater than 98 or less than 85, which would extend the range beyond what is shown in the stem and leaf plot.

Step-by-step explanation:

Answer:

One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.

Step-by-step explanation:

432.4 galloons in total in 4 tanks

432.4 : 4

? : 1

432.4/4=108.1, so 108.1 gallons in each tank

Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.

Answer:

below

Step-by-step explanation:

Parallel lines will ALWAYS have the same slope. Thus, the slope for the given line will be the same for the parallel line.

Best of Luck!

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

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The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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Answer:

C

Step-by-step explanation:

Multiplying 1.6 gets you how far he walks, and then dividing the answer gives you how many times he would be stops, roughly 6.4 times

Step-by-step explanation:

\(4(w - 6) \leqslant - 12 \\ \)

\(4w - 24 \leqslant - 12\)

\(4w \leqslant - 12 + 24 \\ \)

\(4w \leqslant 12\)

Answer:

To solve the equation: First, subtract 9 from both sides of the equation. Second, divide both sides of the equation by -10

Step-by-step explanation:

We are subtracting from both sides because we need to do the inverse, and the inverse of adding 9 is subtracting it.

Same with the -10. We need to do the inverse, and the inverse of multiplying by -10 is dividing by it.

Answer:

First: Subtract 9 from both sides of the equation. Second: Divide both sides of the equation by -10

Step-by-step explanation:

because 9 is positive, to get rid of it you need to subtract it.

after than, you would get -10x = -30

you would then divide it by -10 because you need to get x by itself

x = -3

Answer:

You need to use the angles as a waypoint such as the one opposite b is equal to b then you need to use the angles on a straight line

Step-by-step explanation:

Answer:

∠A= 111.75°

Step-by-step explanation:

Please see the attached picture.

∠B +∠C= 180° (adj ∠s on a str. line)

(x +35)° +∠C= 180°

∠C= 180° -(x +35)°

∠C= 145° -x°

∠A= ∠C (corr. ∠s)

∠A= 145° -x°

Given that ∠A is (3x +12)°, equate this expression to the expression we found.

145° -x°= 3x° +12°

3x° +x°= 145° -12°

4x°= 133°

x°= 133° ÷4 (÷4 on both sides)

x°= 33.25°

Substitute the value of x back into the expression for ∠A:

∴∠A= 3(33.25°) +12°

∠A= 111.75°

Answer:

84 ft

Step-by-step explanation:

16 + 16 + 26 +26 = 84

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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Answer: m= 1/2

Step-by-step explanation:

It rises +3 and shifts right 6, and if simplified gives you 1/2.