Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.

Answer:

I'm not sure but I think it's B

Answer: 1/2 converted into a percent is 50% and 1/2 converted into a decimal is 0.5

Step-by-step explanation:

This is true because what is half of 2? 1 right. Think of 2 being 100. Half of 100 is 50. This is why 1/2 as a percent is 50%.

Hope this helps :)

P.s. if you can give me a brainliest that would be cool.

The two-tailed t-test with a significance level (P-value) of 0.05 leads to the conclusion that the mean albumin concentrations in the two selected groups of people differ significantly (option c).

In the t-test, we compare the means of two groups and determine if the observed difference is statistically significant. A significance level of 0.05 means that we have a 5% chance of observing such a difference by chance alone.

By conducting the t-test on the given data, we calculate the t-value and compare it to the critical t-value at the chosen significance level. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that the means differ significantly. In this case, the t-test indicates that the mean albumin concentrations in the two groups differ significantly, leading to the conclusion of option c.

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The series is a convergent p-series with p = 3/2.

The given series is:

1 + 1/(2√2) + 1/(3√3) + 1/(4√4) + 1/(5√5) + ...

To determine whether this series is convergent or divergent, we can rewrite it as:

Σ (1/n√n) from n = 1 to ∞

Now we can use the p-series test. A p-series is of the form Σ (1/n^p) from n = 1 to ∞, where p is a constant. If p > 1, the series is convergent; if p ≤ 1, the series is divergent.

In this case, we have:

1/n√n = 1/n^(3/2)

So, p = 3/2. Since p > 1, the series is a convergent p-series with p = 3/2.

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The perimeter of Rebekah's new mural is 9 meters.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

A rectangular mural measures 1 meter by 3 meters.

Rebekah creates a new mural that is 0.5 meters longer.

The perimeter of Rebekah's new mural,

= 2 (1.5 + 3)

= 9 meters.

Therefore, the perimeter is 9 meters.

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Answer:

9

Step-by-step explanation:

The coordinates are:

To find the coordinates:

In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:

\($$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$\)

Each segment has two endpoints and two midpoints, which are as follows:

We must be cautious not to add the wrong coordinates.

In the first line A:

\($$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$\)

So (3,7) is the other endpoint where the segment begins (1,-9).

The endpoint of the second line b at (-2,18) and its midpoint (5,9).

\($$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$\)

So, (12,0) is the opposite endpoint.

Therefore, the coordinates are:

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The correct question is given below:

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).

"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners. ​

Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;

45C4 = 45!/(45-4)!4!

45C4 = 45!/41!4!

45C4 = 45*44*43*42*41!/41!*4!

45C4 = 45*44*43*42/4*3*2

45C4 = 3,575,880/24

45C4 = 148,995

Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners. ​

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answer: permutation and 3,575,880 (plato/edmentum)

The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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To find the probability of the call lasting less than 230 seconds, we have to find P(X<230). Here X follows normal distribution with mean = 290

The given data: Meanμ = 290 seconds

Standard deviation σ = 30 seconds

Sample size n = 1000a) and

standard deviation = 30.

We get the value of 0.0228, which represents the area left (or below) to z = -2. Therefore, the probability that the call lasted less than 230 seconds is 0.0228 (or 2.28%). By using z-score formula;

Z=(X-μ)/σ

Z=(230-290)/30

= -2P(X<230) is equivalent to P(Z < -2) From z-table,

0.6384 (or 63.84%) P(230330) is equivalent to 1 - P(X<330)Here X follows normal distribution with mean = 290 and standard deviation = 30.From part b,

We already have P(X<330).Therefore, P(X>330) = 1 - 0.9082 = 0.0918, which is equal to 9.18%. Therefore, the probability that the call lasted more than 330 seconds is 0.1356 (or 13.56%).Answer: 0.1356 (or 13.56%). In parts a, b, and c, the final probabilities are rounded off to four decimal places as needed, as per the instructions given. However, these values are derived from the exact probabilities and can be considered accurate up to that point.

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Problem

The height of a particular species of tree, in feet, x years after it is planted can be modeled by the

linear function h(x) = 5.27 – 3.12x. Which of the following best interprets the y-intercept of the

linear model?

Solution

For this case we need to remember the general expression for a line given by:

y = mx+ b

Where m = slope and b the intercept

And by direct comparison we can see that b = 5.27, then the intercept would be 5.27

Answer:

63

Step-by-step explanation:

if 2 inches = 7 feet and the model plane is 1.5 feet, and that is 18 inches 18/2*7=63

1 inch is =12.

Answer:

C

Step-by-step explanation:

you keep the base the same which is 7 . Then add the exponets (small numbers) then you will get 11. Therefore, you put the base 7 over 11.

its A  ma am

i know this because i did it

Given that x follows a binomial distribution with parameters n = 12 and p = 0.15, we can use the following formulas to find the expected value E(x) and variance Var(x):

E(x) = n * p

Var(x) = n * p * (1 - p)

Substituting n = 12 and p = 0.15, we get:

E(x) = 12 * 0.15 = 1.8

Var(x) = 12 * 0.15 * (1 - 0.15) = 1.53

Therefore, the expected value of x is E(x) = 1.8, and the variance of x is Var(x) = 1.53.

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The fabric needed to cover the paperweight is 111.5 square centimeters.

The paperweight has the shape of a cuboid

Length = 5cm

Width = 4 ½ cm

Height = 3½ cm

Surface area of a cuboid = 2(lh + lw + wh)

= 2(5×3½ + 5×4½ + 4½×3½)

= 2(17.5 + 22.5 + 15.75)

= 2(55.75)

= 111.5 cm²

Therefore, 111.5 cm² is the fabric needed to cover the paperweight.

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Answer:no

Step-by-step explanation:

the properties for a parallelograms are

we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)

Answer:

Step-by-step explanation:

A)

The formula for determining the area of a rectangle is given as

Area = length × width

Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is

(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18

Area = 10x² + 36x + 18

B)

The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.

C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Answer:

A: (2x+7)(5x+9)

2x x 5x=10x^2

2x x 9= 18x

7 x 5x= 35x

7 x 9=63

   added \/ 18x and 35x

10x^2 + 53x + 63

B: a 2nd degree trinomial

C:  it is closed under multiplication. the exponents of the terms  are whole numbers. The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Step-by-step explanation:

For the given triangle , the values of the angles x , y , and z as per the given condition is given by option A. x = 80° , y = 140° , z = 20°.

Diagram is attached.

As given in the question,

For the given triangle,

As per the division of large triangle into smaller ones and the values of the angles of the larger and smaller triangle.

Diagram is attached.

In the drawn diagram of the triangle ABC,

Line passes through vertex A and intersect at point D on BC

Two smaller triangles are ΔABD , and ΔACD

As per given data,

In triangle ABD,

∠BAD = 60°

∠ABD = x°

∠ADB = 40°

x° = 180° -( 60 + 40 )°

   = 80°

In ΔABC,

∠ACB = 180° - ( 80° + 60° + 20° )

          = 20°

In ΔACD,

∠ADC = y°

∠DAC = z°

          = 20°

B-C-D

∠ACB = ∠ACD

          = 20°

y° = 180° - ( 20 + 20 )°

   = 140°

Therefore, as per the given data of the triangle  the values of the angles x , y , and z is equal to option A. x = 80° , y = 140° , z = 20°.

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The soccer team sold 25 pizzas.

Let x be the number of pizzas sold. Then, the number of subs sold would be x + 11.

The total amount of money earned from pizzas is $5.00 * x and the total amount of money earned from subs is $3.00 * (x + 11).

We can represent this situation using the following system of equations:

5x + 3(x + 11) = 233

Expanding the second equation:

5x + 3x + 33 = 233

Combining like terms:

8x + 33 = 233

Subtracting 33 from both sides:

8x = 200

Dividing both sides by 8:

x = 25

So, the soccer team sold 25 pizzas.

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The soccer team sold 25 pizzas.

Let x be the number of pizzas sold. Then, the number of subs sold would be x + 11.

The total amount of money earned from pizzas is $5.00 * x and the total amount of money earned from subs is $3.00 * (x + 11).

We can represent this situation using the following system of equations:

5x + 3(x + 11) = 233

Expanding the second equation:

5x + 3x + 33 = 233

Combining like terms:

8x + 33 = 233

Subtracting 33 from both sides:

8x = 200

Dividing both sides by 8:

x = 25

So, the soccer team sold 25 pizzas.

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Answer:

36km/h

speed =distance/time

= 90/2.5

=36km/h

There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.

First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.

Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.

Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.

To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:

6 + 18 + 1 = 25

Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

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Answer:

2 in

Step-by-step explanation:

The correct procedure is Calculate the z-score using the formula.Use a normal distribution table to find the cumulative probability associated with the calculated z-score.These instructions summarize the process of calculating the z-score and then using the normal distribution table to determine the corresponding cumulative probability.

Here are step-by-step instructions on how to use a normal distribution table:

Step 1: Understand the table format

A normal distribution table, also known as a z-table, provides the cumulative probability for a standard normal distribution. It typically includes the z-score values (the number of standard deviations from the mean) along with their corresponding cumulative probabilities.

Step 2: Identify the z-score

To use the table, you need to determine the z-score associated with the value you want to calculate the probability for. The z-score represents the number of standard deviations away from the mean that your value is.

If you have a raw score, you can calculate the z-score using the formula:

\(z = \frac{\sigma}{x - \mu}\)

​where

x is the value,

μ is the mean, and

σ is the standard deviation.

Step 3: Locate the z-score in the table

Find the row in the table that corresponds to the first decimal place of the z-score. Then, locate the column that corresponds to the second decimal place of the z-score. The intersection of the row and column will give you the cumulative probability up to that z-score.

Step 4: Interpret the result

The value in the table represents the cumulative probability up to the given z-score. To find the probability of a specific event or range, you may need to subtract probabilities or use the complementary rule.

For example, if you want to find the probability of a value less than a specific z-score, you can use the cumulative probability directly from the table. If you want to find the probability of a value greater than a specific z-score, you can subtract the cumulative probability from 1.

Step 5: Adjust for negative z-scores (if applicable)

If you have a negative z-score, you can convert it to a positive value by using the symmetry property of the standard normal distribution. The cumulative probability for a negative z-score is equal to 1 minus the cumulative probability for the positive counterpart.

That's it! By following these steps, you can use a normal distribution table to find probabilities associated with specific z-scores.

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To forecast future demand using trend adjusted exponential smoothing, the given information includes actual demand for the past 16 periods and the parameters required for the forecast. The parameters include the smoothing constant (α), the trend smoothing constant (β), the trend-adjusted forecast for period 5 (TAF5), and the trend for period 5 (T5).

The question asks to prepare a trend-adjusted exponential smoothing forecast based on these parameters.

Trend adjusted exponential smoothing combines exponential smoothing with a trend component to forecast future values. The formula for calculating the forecast is:

Ft+1 = Ft + Tt + α * (At - Ft) + β * (Tt - Tt-1)

Where:

Ft is the forecast for period t

Tt is the trend component for period t

At is the actual demand for period t

α is the smoothing constant

β is the trend smoothing constant

To start, we need to initialize the forecast and trend values. In this case, we are given the trend-adjusted forecast for period 5 (TAF5) and the trend for period 5 (T5). So, we set F5 = TAF5 and T5 = T5.

Next, we can use the formula to calculate the forecast and trend values for the remaining periods.

We iterate through the periods from t = 6 to t = 16, applying the formula to update the forecast and trend values based on the actual demand for each period.

Finally, we round the forecast values to the desired precision.

By following this procedure and applying the given parameters, we can prepare a trend-adjusted exponential smoothing forecast for the future demand.

The forecast values will reflect the trend in the historical data while incorporating the smoothing constants for better accuracy.

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Answer:

2 per balloon

Step-by-step explanation:

Dozen = 12

Answer:6 divided by 12 = 50 cents

Step-by-step explanation:

6 divided by 12

Answer:

Kerry could give her the range or the standard deviation of the data set.

Step-by-step explanation:

Coach Loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of variability.

Kerry could give her the range or the standard deviation of the data set.

You can produce four more complete Jacket (S) than complete Jacket (L) in an eight-hour shift.

As a manufacturer, you are trying to find out how many more complete Jacket (S) than complete Jacket (L) can be made in an eight-hour shift. This is a simple mathematical problem that can be solved by finding the difference between the number of Jacket (S) and Jacket (L) that can be produced in a given time frame.

Let's assume that it takes one hour to make one complete Jacket (S) and two hours to make one complete Jacket (L).

In an eight-hour shift, the number of complete Jacket (S) that can be produced is 8 hours divided by 1 hour per Jacket (S) = 8 Jackets (S).

Meanwhile, the number of complete Jacket (L) that can be produced is 8 hours divided by 2 hours per Jacket (L) = 4 Jackets (L).

Therefore, the number of more complete Jacket (S) than complete Jacket (L) that can be made in an eight-hour shift is

=> 8 Jackets (S) - 4 Jackets (L) = 4 Jackets (S).

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Answer:

1. No equation 2. Infinite equation (infinity = infinity) 3. No equation 4. No equation 5. x = 0

Step-by-step explanation:

Answer:

40¢ or $0.40

Step-by-step explanation:

$2÷5=40¢