where is the blue dot on the number line?

if the triangles are similar , then ,

The small trapezoid is a scaled-down version of the large trapezoid, but is also a mirror image.

So the side x corresponds to the length 45 in the larger trapezoid.

\(45 = 2x + 4 \\ 2x = 45 - 4 \\ x = \frac{41}{2} \\ x = 20.5\)

Answer:

-2y+10

Step-by-step explanation:

-x - 2y = -10

add 2y to both sides

-x = -10 + 2y OR 2y - 10

divide both sides by -1

x = -2y+10

Whether the data is normally distributed or not is determined by testing the skewness and kurtosis values of the sample. If the skewness and kurtosis are within the range of -2 to +2, the data is regarded to be normally distributed.

To determine if the data are from a population that is normally distributed, we'll compute the skewness and kurtosis for the given dataset. The formulas for calculating skewness and kurtosis are as follows:

Skewness = (3 * Mean – Mode) / Standard Deviation

Kurtosis = (Mean – Mode) / Standard Deviation

We will use the following steps to calculate skewness and kurtosis for the provided dataset:

Step 1: Calculate the mean (average) of the dataset.μ = (14 + 19 + 22 + 24 + 26 + 28 + 29 + 29 + 30 + 32) / 10

= 24.3

Step 2: Calculate the median (midpoint) of the dataset. The values in the data set are already in order, so we can find the median by simply taking the value in the middle of the data set. The median is 26.

Step 3: Calculate the mode (most frequently occurring value) of the dataset.There is no mode for this dataset as there are no repeated values.Step 4: Calculate the variance and standard deviation of the dataset.

Var(X) = [Σ (Xi – μ)2] / N

Var(X) = [(14-24.3)2 + (19-24.3)2 + (22-24.3)2 + (24-24.3)2 + (26-24.3)2 + (28-24.3)2 + (29-24.3)2 + (29-24.3)2 + (30-24.3)2 + (32-24.3)2] / 10

Var(X) = 27.01

SD(X) = √27.01

= 5.2

Step 5: Calculate the skewness of the dataset using the formula.

Skewness = (3 * Mean – Mode) / Standard Deviation

Skewness = (3 * 24.3 – 26) / 5.2

= 0.19

The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed. Similarly, the kurtosis value can be calculated using the formula.

Kurtosis = (Mean – Mode) / Standard Deviation

Kurtosis = (24.3 – 26) / 5.2

= -0.27

The kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.

In statistics, data are usually distributed in one of two ways: it is either normally distributed, meaning that the majority of values fall close to the mean, or it is skewed, meaning that a significant number of values fall in one direction of the mean or the other. It is important to know which of these distributions applies to a given data set so that you can make accurate predictions based on that data.

Normal distribution is a term used in statistics to describe a pattern of data that is symmetrical, meaning that the data values are equally likely to fall on either side of the mean. When the data is normally distributed, the majority of the data values fall close to the mean, with fewer values the farther away from the mean you go.

The normal distribution is useful for making predictions and understanding the likelihood of a particular outcome. This is because it is easy to see where the majority of the data falls on a normal distribution graph, and you can use that information to predict future outcomes.

Skewed distribution is a term used in statistics to describe a pattern of data that is asymmetrical, meaning that the data values tend to cluster on one side of the mean or the other. Skewed data can be difficult to interpret, and it may require special statistical methods to analyze.

This is because the data may be influenced by outliers, or extreme values, that skew the distribution. When the data is skewed, the median may be a better measure of central tendency than the mean.

We have calculated the skewness and kurtosis of the given data. The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed.

Similarly, the kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

Today: Thursday, 15 October 2020

Hour: 04.17 WIB (in Indonesian)

____________________________

-2.73 = -042r

r = -2.73/0.42

r = 6.5

Answer:

r = 13/2

hope this is grateful

​

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

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The original number is 25.

We know that,

The sum of the original number is 7 --(i)

When reversed, the value of the number is increased by 45 --(ii)

Therefore, adding (i) and (ii), we get:

7 + 45 = 52

Also, 5 + 2 = 7

Since 52 is the reversed number,

Therefore, the original number is 25.

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The zeros of the polynomial f(x) are the values of x that make f(x) equal to zero. We can find the zeros of f(x) by setting the polynomial equal to zero and solving for x:

f(x) = (x-5)²6 (x²-25)²7 = 0

The polynomial f(x) has two factors, each of which contributes to the zeros of the polynomial:

Factor 1: (x-5)²6

This factor is equal to zero when x-5=0, or x=5. Therefore, the polynomial f(x) has a zero of multiplicity 6 at x=5.

Factor 2: (x²-25)²7

This factor is equal to zero when x²-25=0, or x=±5. Therefore, the polynomial f(x) has two more zeros at x=±5. Each of these zeros has a multiplicity of 7, since the factor (x²-25) is raised to the 7th power.

Therefore, the zeros of f(x) are x=5 and x=±5, with multiplicities of 6 and 7, respectively.In summary

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Answer:

3 gallons I am pretty sure

Answer:

3 1/5 gallons left

Step-by-step explanation:

if you add the gallons together ( 15 1/5 + 5 3/5 ) you end up with 20 4/5, the car consumed 17 4/5 than you subtracted ( 20 4/5 - 17 4/5 ) the answer is 3 1/5 gallons left.

A parabola equation calculator is an online tool used to find the equation of a parabola based on its vertex and focus points, or other given parameters.

A parabola equation calculator is a type of math calculator used to find the equation of a parabola based on certain given parameters. These parameters could include the vertex and focus points, the directrix, or the x- or y-intercepts. By inputting these parameters into the calculator, users can obtain the equation of the parabola, which is a quadratic function in the standard form y = ax² + bx + c.

Parabolas are widely used in physics and engineering applications, such as the trajectory of a projectile, the shape of a satellite dish, or the design of a parabolic solar collector.

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To find the sample size for a given margin of error for a single population proportion, we need to use the formula:

n = (z^2 * p * (1-p)) / (margin^2)

where:
- n is the sample size
- z is the z-score corresponding to the desired level of confidence (e.g. 1.96 for 95% confidence)
- p is the estimated population proportion (if unknown, we can use 0.5 as a conservative estimate)
- margin is the desired margin of error

This formula helps us calculate the minimum sample size needed to estimate the population proportion with a given level of confidence and margin of error. The larger the sample size, the more accurate our estimate will be.

It's important to note that this formula assumes a simple random sample from the population and that the population proportion is constant throughout the population. If these assumptions are not met, the sample size may need to be adjusted accordingly.The sample size for a given margin of error for a single population proportion. To do this, we will use the following formula:

n = (Z^2 * p * (1-p)) / E^2

Where:
- n is the sample size
- Z is the Z-score (usually 1.96 for a 95% confidence level)
- p is the population proportion (estimated)
- E is the margin of error

Step 1: Determine the Z-score, population proportion (p), and margin of error (E) from the problem statement.

Step 2: Plug the values into the formula and solve for n.

n = (Z^2 * p * (1-p)) / E^2

Step 3: If the calculated sample size (n) is not a whole number, round it up to the nearest whole number, as you cannot have a fraction of a sample.

That's how you find the sample size for a given margin of error for a single population proportion. Remember to replace Z, p, and E with the values given in your specific problem.

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By solving a system of two simultaneous linear equations, it can be calculated that

Dan and Camille spent $150 altogether

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a system of two simultaneous linear equations needs to be solved

Let Dan had $x and Camille had $y

Both cards combined hava a balance of $350

x + y = 350 ..... (1)

Amount of money Dan spent = $\(\frac{x}{2}\)

Amount of money Dan left with = $(\(x - \frac{x}{2}\)) = $\(\frac{x}{2}\)

Amount of money Camille spent = $\(\frac{y}{3}\)

Amount of money Camile left with = $\((y - \frac{y}{3})\) = $\(\frac{2y}{3}\)

By the problem,

\(\frac{x}{2} = \frac{2y}{3}\)

3x = 4y

3x - 4y = 0 .... (2)

Multiplying (1) by 4

4x + 4y = 1400 ..... (3)

Adding (1) and (3)

7x = 1400

\(x = \frac{1400}{7}\)

x = $200

Putting the value of x in (1)

200 + y = 350

y = 350 - 200

y = $150

Amount of money Dan spent = $\(\frac{1}{2}\times 200\) = $100

Amount of money Camille spent = $\(\frac{1}{3} \times 150\) = $50

Total money spent altogether  = $(100 + 50) =$150

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Answer:

The answer should be line B!^^

Have a great day/night, let me know it that was right or not!

A customer earns 1 free night per 10 nights stayed.

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

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Annual Yield refers to the return on investment received by a stockholder for a specified period of time expressed as a percentage of the investment.

The dividend yield is used to calculate the annual yield. It is a stock's yearly dividend payments divided by its price per share. divide the annual dividend payment per share by the share price.For the given question, the following calculations can be performed:Shares of stock in Ergar Appliances purchased = 258Commission charged = $1,340.75List price of Ergar Appliances = $73.96Dividend paid per share = $11.45Total cost of purchasing 258 shares of stock = 258 × 73.96 = $19,095.68

Total dividend received = 258 × 11.45 = $2,954.10Net cost of purchasing stock = 19,095.68 + 1,340.75 = $20,436.43Yield = Total Dividend/Net cost of purchasing stockYield = 2954.1/20436.43Yield = 0.1446 ;The annual yield is 0.1446 which rounds to 0.1548 (rounded to 4 decimal places).

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Answer:

C=0

Step-by-step explanation:

Answer:

Jason eats 1/8=0.125 pounds of candy per day and it will take him 8 days to eat 1 pund of candy Hope Im not wrong

Step-by-step explanation:

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long. Therefore, option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, scale factor =2:1

Scale drawing to object the scale factor is 2:1.

Now,

a=1/2 *5 =2.5 inches

b= 1/2 *10 = 5 inches

c= 1/2 * 13 = 6.5 inches

Therefore, option C is the correct answer.

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Answer:

3h - 6

Step-by-step explanation:

→ Minus 2 from both sides

h - 2 = d / 3

→ Multiply both sides by 3

3h - 6 = d

Step-by-step explanation:

h=d/3+2

h=d/5

d=5h

please mark brainiest

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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The amount that one family paid is 25 pound

Here two families had dinner and bill was 100 pound

They used the coupon on which they got 50% off

To find the percentage we have to use percentage formula:

\(=\frac{Value}{Total \ Value} *100\)

\(=\frac{50}{100} *100\)

\(= 50 \ Pounds\)

The remaining bill was 50 pound

Now this amount is divided between the 2 families

\(=\frac{50}{2}\)

\(= 25 \ pound\)

So one family has to pay 25 pounds

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Answer:The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Step-by-step explanation:

Answer:

-4, -2, -1, 1, 3

Step-by-step explanation:

Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:

When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:

-1, -5, -8, -3, and -2

To find out what the order is from least to greatest, you do this:

take the negative sign off

1,5,8,3, and 2

then put them in order from least to greatest

so its

1, 2, 3, 5, 8

Then flip it so its from greatest to least

so its

8,5,3,2,1

Now put the negative signs back

making it:

-8, -5, -3, -2, and -1

That is how you find out what the numbers are from least to greatest.

Hope this helps!

PS. You should eat chicken nuggets because they are good

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

a)  The growth rate per hour is 91,400 bacteria/hour. b) the function that models the number of bacteria after t minutes is: n(t) = \(8,600 \times e^(1,523.33t)\). c) the number of bacteria after 2 hours is approximately \(1.294 x 10^45 bacteria.\) d) The bacteria will triple in approximately 0.077 seconds.

a. To find the growth rate per hour, we can use the formula:

Growth Rate = (Final Count - Initial Count) / Time

Growth Rate = (100,000 - 8,600) / 1 hour = 91,400 bacteria/hour

Therefore, the growth rate per hour is 91,400 bacteria/hour.

b. To write a function that models the number of bacteria n(t) after t minutes, we can use the exponential growth formula:

n(t) = n₀\(\times\) e^(kt)

Where:

n₀ = initial count of bacteria

t = time in minutes

k = growth rate per minute

Since we know the initial count is 8,600 and we want to find the growth rate per minute, we can convert the growth rate per hour to growth rate per minute:

Growth Rate per Minute = Growth Rate per Hour / 60 minutes = 91,400 / 60 = 1,523.33 bacteria/minute

Therefore, the function that models the number of bacteria after t minutes is:

\(n(t) = 8,600 \times e^(1,523.33t)\)

c. To find the number of bacteria after 2 hours (120 minutes), we can substitute t = 120 into the function:

\(n(120) = 8,600 \times e^(1,523.33 \times 120)\)

Calculating the value, we find the number of bacteria after 2 hours is

approximately\(1.294 x 10^45\) bacteria.

d. To determine how long it will take the bacteria to triple, we need to find the time (t) when n(t) = \(3 \times 8,600\). Setting up the equation:

\(3 \times 8,600 = 8,600 \times e^(1,523.33t)\)

Dividing both sides by 8,600:

\(3 = e^(1,523.33t)\)

Taking the natural logarithm (ln) of both sides:

ln(3) = 1,523.33t

Solving for t:

t = ln(3) / 1,523.33

Calculating the value, we find it will take approximately 0.00128 minutes (or 0.077 seconds) for the bacteria to triple.

The bacteria will triple in approximately 0.077 seconds.

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The measure of ∠1 is 140°.

Vertical angles are a pair of opposite angles formed by the intersection of two lines.

They have equal measures.

In this case, we have ∠1 and ∠2 as vertical angles.

Given that the measure of ∠1 is represented as 3x + 17 and the measure of ∠2 is represented as 4x - 24, we can set up an equation to find the value of x.

Since ∠1 and ∠2 are vertical angles, they have equal measures.

So we can write the equation:

3x + 17 = 4x - 24

To solve for x, we can start by isolating the variable terms on one side:

3x - 4x = -24 - 17

-x = -41

To solve for x, we can multiply both sides of the equation by -1 to get a positive x:

x = 41

Now that we know the value of x, we can substitute it back into the expression for ∠1 to find its measure:

m ∠1 = 3x + 17

m ∠1 = 3(41) + 17

m ∠1 = 123 + 17

m ∠1 = 140

Therefore, the measure of ∠1 is 140°.

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