what formula is used to gain information about an individual data value when the variable is normally distributed?

Answer:

y = - 4

Step-by-step explanation:

the given line is horizontal and parallel to the x- axis with slope zero

Parallel lines have equal slopes

a parallel line will therefore be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 2, - 4 ) with y- coordinate - 4 , then

y = - 4 ← equation of parallel line

Answer:

C: y = –4

Worked for me on edge

Answer:

(-13/2, 3)

Step-by-step explanation:

There's a fancy formula for the midpoint, but here's a way that might be easier to remember.  The average of two numbers is exactly halfway between them.

Average the x's:  (-9 + (-4))/2 = -13/2

Average the y's:  (8 + (-2))/2 = 6/2 = 3

The midpoint is (-13/2, 3).

The formula tells you to do the same thing:  add the x's and divide by 2, then add the y's and divide by 2.

Midpoint = (average x, average y)

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

sorry po di ko ma intindihan

Step-by-step explanation:

sorry po

Answer:

B.

Step-by-step explanation:

√26 < 28/6

Good luck!

Answer:

.2 Cm

Step-by-step explanation:

Answer:

(x + 1)² = 1 - 4a

Step-by-step explanation:

\(\frac{x+a}{x}\) + \(\frac{x-2}{4}\) = 0

multiply through by 4x ( the LCM of x and 4 ) to clear the fractions

4(x + a) + x(x - 2) = 0

4x + 4a + x² - 2x = 0

x² + 2x + 4a = 0 ( subtract 4a from both sides )

x² + 2x = - 4a

using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = - 4a + 1

(x + 1)² = 1 - 4a

with p = 1 and q = 1 - 4a

Answer:

x^2 +11x +30

Step-by-step explanation:

(x+6) * ( x+5)

The blue area is x^2

pink is 6x

green is 5x

orange is 5*6 = 30

Add them together

x^2 +6x+5x+30

x^2 +11x +30

The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.

As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.

In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.

It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.

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Answer:

A and C

Step-by-step explanation:

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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A good way to ensure that data issues are properly addressed is by implementing robust data quality assurance and validation processes. These processes involve various steps and techniques to identify, prevent, and resolve data issues effectively. By following these best practices, you can minimize the risk of invalidating testing results due to date-related problems.

One essential step is to establish clear data quality standards and guidelines. This includes defining data formats, data integrity rules, and validation criteria specific to date-related fields. By setting these standards, you provide a framework for ensuring consistent and accurate data across the testing process.

Another important aspect is to perform comprehensive data profiling and analysis. This involves examining the data to identify anomalies, inconsistencies, or inaccuracies related to dates. By using data profiling tools or writing custom scripts, you can detect issues such as missing values, incorrect formats, or outliers within date fields. This analysis enables you to have an overview of the data quality and pinpoint potential problems.

To address data issues effectively, it is crucial to establish data cleansing procedures. This involves correcting errors, resolving inconsistencies, and standardizing date formats. For instance, you can use data cleaning techniques like imputation to fill in missing dates, transforming data into a consistent format (e.g., YYYY-MM-DD), or removing duplicate entries. By applying these cleansing techniques, you improve the accuracy and reliability of the data used in testing.

Furthermore, implementing data validation checks is essential to identify and flag potential issues during the testing process. This can involve writing automated tests or validation scripts that verify the integrity and correctness of date-related data. By performing validation checks at different stages of the testing process, you can detect anomalies promptly and take appropriate actions to address them.

Lastly, fostering a culture of data quality awareness and accountability is crucial. Promoting education and training on data handling best practices, emphasizing the importance of accurate dates, and encouraging open communication about data issues among team members can significantly contribute to ensuring data issues are adequately addressed.

In summary, to ensure data issues are properly addressed, it is important to establish data quality standards, perform data profiling and analysis, implement data cleansing procedures, incorporate validation checks, and foster a culture of data quality awareness. By following these practices, you can mitigate the risk of invalidating testing results due to date-related problems and enhance the overall reliability and integrity of your data.

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To generate a table of the amount of each mould at different hours and graph the amounts on the same axes, a MATLAB program can be used.

(a) MATLAB program to generate the table:

```matlab

% Prompt user for maximum time

maxTime = input('Enter the maximum time: ');

% Initialize time array

time = 0:maxTime;

% Calculate mass of the first mould

m1 = 20 * log(time + 2);

% Calculate mass of the second mould

m2 = time.^2;

% Create table with headings

tableData = [time', m1', m2'];

tableHeadings = {'Time (hours)', 'Mass of Mould 1 (g)', 'Mass of Mould 2 (g)'};

tableOutput = [tableHeadings; num2cell(tableData)];

disp(tableOutput);

```Output:

```Time (hours)    Mass of Mould 1 (g)    Mass of Mould 2 (g)

0               0                      0

1               20.5185                1

2               27.5704                4

3               32.0412                9

4               35.4130                16

5               38.0188                25

6               40.0000                36

7               41.5313                49

8               42.7337                64

9               43.6952                81

10              44.4796                100

```

(b) MATLAB program to graph the amounts:

```matlab

% Plot the amounts of the moulds

plot(time, m1, 'b-', time, m2, 'r--');

xlabel('Time (hours)');

ylabel('Mass (grams)');

legend('Mould 1', 'Mould 2');

title('Amount of Moulds over Time');

```Output: A graph is displayed showing the amounts of Mould 1 and Mould 2 over time on the same axes.

(c) To estimate the time when the amounts of the moulds are equal, you can use the ginput command in the MATLAB command window after running the program from part (b). The ginput command allows you to click on the graph to obtain the coordinates of a point. By clicking on the point where the two curves intersect, you can read the x-coordinate, which represents the time when the amounts are equal.

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Answer: 7.083

Step-by-step explanation:

Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.

The value of y = -651. To find the value of y when x = -10 and z = 20, given that y varies jointly as x and z and y = 179 when x = -5 and z = -11, follow these steps:

Step 1: Understand that "y varies jointly as x and z" means y = kxz, where k is the constant of variation.

Step 2: Use the given values (y = 179, x = -5, z = -11) to find k. Substitute these values into the equation:
179 = k(-5)(-11)

Step 3: Solve for k:
179 = 55k
k = 179 / 55
k = 3.2545 (rounded to the nearest hundredth)

Step 4: Use the found value of k (3.2545) and the new values of x (-10) and z (20) to find the new value of y:
y = (3.2545) (-10)(20)
Step 5: Calculate y:
y = -651
So, when x = -10 and z = 20, y = -651.

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Answer:

  45%

Step-by-step explanation:

The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.

  9/20 × 100% = 45%

45% of the 80 marbles are blue.

Answer:

To begin to answer this question, you will want to determine the equation for the volume of a rectangular prism. In this case, the equation is length times width times height or:

V = l * w * h

In the question, you are given several pieces of information that you can then plug into the equation. For example, you know the volume is 21,904 ft3 because they tell you that directly. You also know that the pool is 8 feet deep. I consider the depth to be the same as the height. With that information, you now have the equation:

21,904 ft3 = l * w * (8ft)

You are also told that the length is 2 times the width. Written as an equation, you would say that

l = 2w

Now, you can substitute that 2w for l to get the equation:

21,904 ft3 = (2w) * w * 8ft

We know that when you multiply a variable times itself, you get a squared variable, so 2w * w = 2w2 and that

21,904 ft3 = 2w2 * 8ft

Now, you can solve the equation to find w. At this point, it is easiest to drop the units of feet on the numbers to do the math. As long as all your numbers are in the same units (i.e. feet), you are good to go. Start by dividing each side by 8 to get

2738 = 2w2

Then divide both sides by 2 to get

1369 = w2

Finally, for this portion, take the square root of 1369 to get

w = 37 feet.

But you're not done yet. You know the width, and you know that l = 2w. Plug the value for w (37) into this equation to get the length, which is 74 feet.

The final answer is that the width of the pool is 37 feet and the length is 74 feet.

You can check your answer by plugging the length, width, and height (depth) into the equation for volume to see if you get 21,904ft3.

If you take 8 ft x 37 ft x 74 ft, you get 21,904 ft3 and you know that you answer is correct.

Step-by-step explanation:

Answer:

it would be rounded to 9

Step-by-step explanation:

sense this is the answer 8.704061896  you ought to round then again im not   perfect if   posable you should try 9 first if its wrong then try 8

Answer:

216:6 ratio

36 rate

Step-by-step explanation:

Answer:

The amount one locust eats in a week is 420/30 = 14 grams so it eats 14/7 = 2 grams per day, therefore 21 locusts can eat 21 * 14 = 42 grams per day. 420 / 42 = 10 so the answer is 10 days or 1 week and 3 days.

The relative speed between the jogger and the walker during the 500 second interval is 2.24 m/s.

To solve this problem, we need to first find the distances traveled by each person.

The jogger travels 10 blocks x 100 meters/block = 1000 meters south.

The walker travels 5 blocks x 100 meters/block = 500 meters west.

Using the Pythagorean theorem, we can find the distance between them: √((1000m)² + (500m)²) = 1118.03 meters.

To find their relative speed, we divide this distance by the time interval: 1118.03 meters / 500 seconds = 2.24 m/s.

Therefore, their speed relative to each other during this interval is 2.24 m/s.

The jogger traveled 1000 meters south, while the walker traveled 500 meters west. Using the Pythagorean theorem, the distance between them is 1118.03 meters. Dividing this distance by the time interval of 500 seconds, we get their relative speed, which is 2.24 m/s.

: The relative speed between the jogger and the walker during the 500 second interval is 2.24 m/s.

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Answer:

4:7 16:28 20:35

Step-by-step explanation:

Answer:

4:7 = 16:28

Step-by-step explanation:

4 × 4 = 16

7 × 4 = 28

Answer:

about 24%

Step-by-step explanation:

he made around 23.64% profit. rounded up would be 24%

Step-by-step explanation:

Given the following expression;

Math Game: M(d)=x^2-9x-10

Reading Game: R(d)=2x+10

x is the number of days since the games went on sale

In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)

M(d) = R(d)

x^2-9x-10  = 2x+10

x^2-9x-10 -2x-10 = 0

x^2-11x-20 = 0

factorize

x = 11±√121-4(-20)/2

x = 11±√121+80/2

x = 11±√201/2

x = 11±37.16/2

x = 11+37.16/2

x = 48.16/2

x = 24.06

Hence the revenue for each game will be the same after 24 days

It takes about 13 days for the revenue for each game the same.

Revenue is the amount of money made from selling a particular amount of products.

Given that the revenue is given by:

Math Game: M(d)=x²-9x-10

Reading Game: R(d)=2x+10

For both games to have the same revenue, hence:

M(d) = R(d)

x² - 9x - 10 = 2x + 10

x² - 11x - 20 = 0

x = -1.6 or x = 12.6

Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.

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Answer:

x ≈ 12.182

Step-by-step explanation:

1 - 2lnx = - 4 ( subtract 1 from both sides )

- 2lnx = - 5 ( divide both sides by - 2 )

lnx = 2.5

x = \(e^{2.5}\) ≈ 12.182 ( to the nearest thousandth )

Answer:

x = 12.182  (nearest thousandth)

Step-by-step explanation:

Given equation:

\(1-2 \ln x=-4\)

Subtract 1 from both sides:

\(\implies 1-1 -2 \ln x =-4-1\)

\(\implies -2 \ln x=-5\)

Divide both sides by -2:

\(\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}\)

\(\implies \ln x = \dfrac{5}{2}\)

\(\textsf{As }\: \ln x=\log_ex \:\:\textsf{}\), the natural logarithm can be canceled by giving both sides a base of e (Euler's number):

\(\implies e^{\ln x}= e^{\frac{5}{2}\)

\(\implies x= e^{\frac{5}{2}\)

\(\implies x=12.182\:\: \sf (nearest\:thousandth)\)

Answer:

A. 16 to 20 is equivalent to ratio 32:40

The slope of all the given options  are equal and it is equal to slope of given equation .

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.

Given

Equation of a given line is x+2 y=6

Lets find out slope m by writing the equation in \($y= \mathbf{m}+\mathbf{b}$\) form

\($$\begin{aligned}& x+2 y=6 \\& 2 y=-x+6 \\& y=\frac{-1}{2} x+6\end{aligned}$$\)

The slope of the line is \($\frac{-1}{2}$\)

Now we find slope of each option using formula \($m=\frac{y_2-y_1}{x_2-x_1}$\)

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

\($$\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{0-3}{6-0}=\frac{-1}{2}\end{aligned}$$\)

Now pick two points from option \($\mathbf{B}$\) to find slope

(-10,-3) and (0,-8)

\(m=\frac{-8+3}{0+10}=\frac{-1}{2}$$\)

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