Suppose the mean income of firms in the industry for a year is 9090 million dollars with a standard deviation of 1515 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 103103 million dollars

Answer: D

Step-by-step explanation: Hope this help :D

Answer:

a. congruent

b. not congruent

c. not congruent

d. congruent

e. not congruent

Step-by-step explanation:

a, b, & d are 45 degrees each.

c >45 degrees

Answer:

1/3 ; 10/21

Step-by-step explanation:

total sweets = 4+3+5+7+2 = 21

3.1.1

7/21 = (7:7)/(21:7) = 1/3

3.1.2

(5+3+2)/21

10/21

Answer:

X / 4 + 22

Step-by-step explanation:

22 more means we add 22. Then, we take x as our variable, in this case, it is "a number". We divide x by 4, and then we add 22. x / 4 + 22.

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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The chart fits the functional equation for all values of x, according to the claim made.

The Geometric Mean (GM) in mathematics is the average or mean that, by calculating the product of the values of the collection of numbers, denotes the central trend of the numbers. In essence, we combine the numbers collectively and calculate their nth root, in which n is the entire amount of data values.

We can use the given functional equation f(x+1) = 4(f(x)) to find the values of f(x) for each value of x, given that we know f(1) = 4. We start by computing:

f(2) = 4(f(1)) = 4(4) = 16

f(3) = 4(f(2)) = 4(16) = 64

f(4) = 4(f(3)) = 4(64) = 256

f(5) = 4(f(4)) = 4(256) = 1024

Now, we have determined all the values of f(x) for x=1 to 5. Since the table has 5 rows, we can write:

x f(x)

1 4

2 16

3 64

4 256

5 1024

We can check that the table satisfies the given functional equation f(x+1) = 4(f(x)). For example, when x = 3, we have:

f(x+1) = f(4) = 256

4(f(x)) = 4(f(3)) = 4(64) = 256

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As per the concept of direct variation, y = 80 when x = 5, then the direct variation equation shows the relationship between x and y will be y = 16x

Equation

Basically, the equation is a statement that two expressions, which include variables and/or numbers, are equal. And in essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given,

In a direct variation, y=80 when x=5.

Here we have to write a direct variation equation that shows the relationship between x and y.

Here we have given that,

The value of y = 80 when x = 5

Therefore, there are often two different sorts of variables in analytics.

And we have obtained that independent variables will have an impact on dependent variables.

Now, what occurs as a result of the independent variable is referred to as a dependent variable.

Here we have given equation x is the independent variable while y is the dependent variable.

So, it can be written as,

=> 80 = 16(5)

Therefore, the resulting equation is y = 16x

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Answer:

$954.78

Step-by-step explanation:

Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.

879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)

Exponential smoothing is a popular forecasting technique used to predict future trends in time-series data. It works by assigning weights to historical data points, with more recent data points receiving higher weights. The level of smoothing is controlled by a smoothing parameter called alpha, which ranges between 0 and 1. As alpha increases, the influence of older data points decreases, and the model becomes more reactive to recent changes in the data.

When alpha is high, the exponential smoothing model group of answer choices tends to produce sluggish forecasts. This is because the model gives more weight to recent data points, which can cause it to overreact to short-term fluctuations in the data. As a result, the model may miss important trends or patterns in the data that would have been captured by a more balanced weighting scheme.

On the other hand, when alpha is low, the model tends to be more stable and less reactive to short-term changes in the data. This can be useful for predicting long-term trends or for smoothing out noisy data sets.

In summary, the choice of alpha in an exponential smoothing model depends on the characteristics of the data and the goals of the forecast. A high alpha value may be appropriate for short-term forecasting or for data sets with high volatility, while a low alpha value may be more suitable for long-term forecasting or for data sets with low volatility.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

x(\(x^{2}\)+2x+1)

Step-by-step explanation:

Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).Start by selecting the m smallest numbers from the set..Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.

To maximize the sum of m numbers from a set of uniformly distributed numbers between 0 and k, you can follow these steps:

1. Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).

2. Start by selecting the m smallest numbers from the set.

3. Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.

4. Repeat step 3 until you have iterated through all the numbers in the set.

By following these steps, you are ensuring that the m numbers you keep have the smallest values compared to the average value. This will help maximize the sum of the m numbers.

Please note that the solution assumes a uniform distribution and that the set contains enough numbers to choose from each day. Additionally, this answer is provided based on the given terms and may not necessarily be the most optimal strategy in all scenarios.

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Answer:

A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.

B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.

Answer:

C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.

Step-by-step explanation:

See attached. We can see that this option is the best as it reflects what we can see in the painting.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

c

Step-by-step explanation:

Answer: 1,665.98

Step-by-step explanation: Use the equation

:)

Answer:

7 * 4 / 2 = 28/2 = 14

Step-by-step explanation:

You are timed. I will just give you the formula where its multiplying the Diagonals and dividing by 2.

x= -4 w= 1 z= -3 y= 5

This is the answer!

The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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Answer:

D. She multiplied p by 0.25 then subtracted that from p.

Step-by-step explanation:

p is the normal cost

discount is 25% so the total discount is 0.25p

the sale price = normal cost - discount = p - 0.25p = 0.75p

The determinants of the given matrices are\($\boxed{0}$\) and \($\boxed{-3}$\), respectively.

First, let's compute the determinant of the matrix \($\begin{bmatrix}-1&1&0\1&0&-1\0&-1&1\end{bmatrix}$\)

using cofactor expansion along the first row:

\(\det\begin{pmatrix}-1&1&0\1&0&-1\0&-1&1\end{pmatrix} &=\)\((-1)\det\begin{pmatrix}0&-1\-1&1\end{pmatrix} - 1\det\begin{pmatrix}1&-1\-1&1\end{pmatrix} + 0\det\begin{pmatrix}1&0\-1&1\end{pmatrix} \\)

\(&= (-1)(-1-(-1)) - 1(1-(-1)) + 0(1) \&= 0\end{align*}\)

Now let's compute the determinant of the matrix \($\begin{bmatrix}-1&2&3\7&8&9\4&5&6\end{bmatrix}$\) using cofactor expansion along the first column:

\(\det\begin{pmatrix}-1&2&3\7&8&9\4&5&6\end{pmatrix} &=\)\((-1)\det\begin{pmatrix}8&9\5&6\end{pmatrix} - 2\det\begin{pmatrix}7&9\4&6\end{pmatrix} + 3\det\begin{pmatrix}7&8\4&5\end{pmatrix} \\)

\(&= (-1)(48-45) - 2(42-36) + 3(35-32) \&= -3\end{align*}\)

Therefore, The determinants of the given matrices are\($\boxed{0}$\) and \($\boxed{-3}$\), respectively.

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Step-by-step explanation:

For now ignore the inequalities, you can replace them by =

So,

You have y=1 first right?

This one is pretty simple it's where y is 1. x can change but y needs to stay 1. Find 1 on the line y and draw your line there. (orange line)

Next, y = 2x+2

You can do a littleeee table to find the coordinates of this line.

You give x any random value and replace it in the equation y and get y.

\(x \: \:0 \: \: 1 \\ y \: \:2 \: \:4 \)

For example here, we used 0 and 2 as x.

Y = 0(2)+2 = 0+2 = 2

Y = 2(1)+2 = 2+2 = 4

So we got two coordinates. (0,2) and (1,4)

Plot your points, and then use your ruler to draw the line.

(red line)

Next, x+y=3

This one you have to go to the x and y axis both and take 3 as your points and draw your line. (you go the the x axis and take 3 there, go to the y axis and take 3 there too)

(blue line)

Now, the inequalities. If you have > then it means the line is broken

If there is a line below the > (>=) then it's a solid line. I hope you understand why I broke the red and yellow lines now. But you can ignore this if it confuses you.

Just know if you have a:

• Horizontal or diagonal line, > is for above the line and < is for below the line

• Vertical, > is for right, < is for left.

It indicates the direction where the area should be

That's how you find R

The null hypothesis is rejected if the test statistic is greater than 2.074 or less than -2.074.

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y.

From your sample of n = 22. At the a = 0.05 level of significance,

what are the upper and lower critical values for the appropriate test of hypothesis?

:Upper and Lower critical values of the test of hypothesis at the a=0.05 level of significance are +/- 2.074.

The null hypothesis of a linear relationship between two variables, X and Y can be tested by finding the appropriate correlation coefficient and using this test statistic to find the p-value.

This test statistic follows a t-distribution with n-2 degrees of freedom. In this question, n=22.

Therefore, the critical values can be found using the t-distribution table for n-2 degrees of freedom and an alpha level of 0.05 (two-tailed).

From the table, we find the t-value at the 0.025 level of significance with 20 degrees of freedom is 2.074. So the upper and lower critical values of the test are ±2.074.

Thus, the upper and lower critical values of the test of hypothesis at the a=0.05 level of significance are +/- 2.074.

This implies that the null hypothesis is rejected if the test statistic is greater than 2.074 or less than -2.074.

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Answer:

perpendicular

Step-by-step explanation:

The equations represent a vertical and horizontal line, respectively, which are perpendicular to each other.

Answer:

10x+2

Step-by-step explanation:

(3x+5)+(7x-3)

Combine like terms

3x+7x +5-3

10x+2

Answer:

12

Step-by-step explanation:

Because if you do the equation right and take out the x the answer will be 12

Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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Step-by-step explanation:

\(\huge\mathcal\colorbox{cyan}{{\color{white}{AŋʂᏯɛཞ♡࿐}}}\)

Mathematics ia a subject of study of such topics as quantity, structure, space, and change. It has no generally accepted definition.

\({\huge{\overbrace{\underbrace{\orange{Fol.low\:\:Me}}}}}\)

Answer:

XZ = 10\(\sqrt{2}\)

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \(\frac{1}{\sqrt{2} }\) , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{YZ}{XZ}\) = \(\frac{10}{XZ}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

XZ = 10\(\sqrt{2}\)