can some one help me solve these because the teacher doesnt example it well.​

The number of sweet pepper seeds in the assortment is 11

The number of hot pepper seeds in the assortment is 5

The first step is to form a system of linear equations to represent the information in the question.

2.85s + 4.29h = (3.30 x 16)

2.85s + 4.29h = 52.80 equation 1

s + h = 16 equation 2

Where:

s = number of sweet pepper seeds

h = number of hot pepper seeds

Take the following steps in order to determine the value of h:

Multiply equation 2 by 2.85

2.85s + 2.85h = 45.60 equation 3

Subtract equation 3 from equation 1

7.20 = 1.44h

Divide both sides by 1.44

7.20 / 1.44 = h

h = 5

In order to determine the value of s, substitute for h in equation 2:

s + 5 = 16

s = 16 - 5

s = 11

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Answer:

1/2

Step-by-step explanation:

The length of the diagonal along which Todd wants to paint a design on his wooden dining room table, considering that he placed 32 square tiles along the edge, can be calculated to be 168 cm.

To determine the length of the diagonal, we can consider the tiles as forming a right-angled triangle. Each tile is a square with sides measuring 12 centimeters. Since Todd placed 32 tiles along the edge of the table, the length of the edge is 32 times the length of one tile, which is 12 centimeters. Therefore, the length of the edge is 32 * 12 = 384 centimeters.

The diagonal of the table forms the hypotenuse of the right-angled triangle. By applying the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can calculate the length of the diagonal. Let's call the length of the diagonal "d."

Using the Pythagorean theorem, we have:

d^2 = 384^2 + 384^2

d^2 = 2 * (384^2)

d = sqrt(2) * 384

Evaluating this expression, we find:

d ≈ 168 cm

Therefore, the length of the diagonal along which Todd wants to paint his design is approximately 168 centimeters.

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Answer:

answer 60

Step-by-step explanation:

The LCM(12, 20) = 60.

The triangles that do not follow the similarity statement and therefore are not similar triangle are ACT and CAR

Similar triangles are triangles that have the same shape, but may have different sizes. Their corresponding angles are congruent, and the corresponding sides are proportional. In other words, if you were to enlarge or shrink one triangle uniformly, it would overlap exactly with the other triangle.

In this problem, we can find two triangles that are similar and that implies that they must be equal to one another.

In this case, we have

1. ART ≈ CAT

2. CAR ≈ CTA

Only ACT ≠ CAR

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Answer:

sry need points

Step-by-step explanation:

Answer:

sorry um i forgot :(

Step-by-step explanation:

16733

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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Answer:

5x = 635

x = 127

508 rolls of paper were sold in December.

Step-by-step explanation:

 x = 5 is the value of x in exterior angle.

Why is this term "exterior angle" used?

∠QRS is exterior angle .

apply exterior angle theorem in ΔPQR

So, ∠QRS = ∠PQR + ∠RPQ

     8x - 9° = 3x + 12° + 3x - 11°

     8x - 9 = 6x + 1

       8x - 6x = 1 + 9

         2x = 10

            x = 10/2

            x = 5

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The acute angle that the ladder makes with the ground is 70.94°.

To work out the size of the acute angle that the ladder makes with the ground, we need to use trigonometry. Let's call the angle we're trying to find "theta" (θ). We know that the ladder is the hypotenuse of a right-angled triangle, with the wall being one side and the ground being the other. Using the Pythagorean theorem, we can work out the length of the ladder's side of the triangle:
a² + b² = c²
where a = 1.8m (the distance from the wall to the base of the ladder), b =? (the distance from the base of the ladder to the ground), and c = 5.1m (the length of the ladder).
Rearranging this formula, we get:
b² = c² - a²
b² = (5.1)² - (1.8)²
b² = 24.21
b = √24.21
b = 4.92m (to 2 decimal places)
Now that we know the lengths of the sides of the triangle, we can use trigonometry to find the angle θ. Specifically, we can use the tangent function:
tan(θ) = opposite/adjacent
where opposite = b (the distance from the base of the ladder to the ground) and adjacent = a (the distance from the wall to the base of the ladder).
tan(θ) = 4.92/1.8
tan(θ) = 2.7333 (to 4 decimal places)
Now we need to find the inverse tangent (or arctan) of this value to get the angle θ:
θ = arctan(2.7333)
θ = 70.94° (to 1 decimal place)
Therefore, the acute angle that the ladder makes with the ground is 70.94°.

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According to the given statement Betsy has traveled a total distance of 60 yards.

To find the total distance Betsy has traveled, we need to calculate the distance between each location and sum them up.

Given that one unit on the coordinate grid equals 10 yards, we can determine the distance between each location by finding the difference in their coordinates and multiplying it by 10.

The coordinates for Betsy's path are:
Location 1: (0, 0)
Location 2: (1, 0)
Location 3: (2, 0)
Location 4: (3, 0)

The distance between Location 1 and Location 2 is 1 unit, which is equal to 1 * 10 = 10 yards.

The distance between Location 2 and Location 3 is also 1 unit, which is equal to 1 * 10 = 10 yards.

The distance between Location 3 and Location 4 is 1 unit, which is equal to 1 * 10 = 10 yards.

To return back to Location 1, Betsy will need to travel from Location 4 to Location 1.

The distance between these two locations is 3 units, which is equal to 3 * 10 = 30 yards.

Summing up the distances:
10 yards + 10 yards + 10 yards + 30 yards = 60 yards

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Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.

We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.

We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.

The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.

So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.

If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k

dx + ∫7dx= (k²/2) + 7x+ C

where C is the constant of integration.

Since the value of C is not given, we cannot say anything about the exact value of the integral.

However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.

Therefore, we can use the Integral Test to determine the convergence or divergence of the series.

Using the Integral Test, the correct choice is B.

Since the integral ∫(k+7)dx diverges, the series also diverges.

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Answer:

0.72727272727

Step-by-step explanation:

Answer:

\(\frac{8}{11}\)

Step-by-step explanation:

You need to make it into an improper fraction first. Multiply 1 times 8 and add the three to get the numerator, which is 11. The improper fraction is \(\frac{11}{8}\). To find the reciprocal, all you need to do is flip it. This gives you \(\frac{8}{11}\).

Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Answer:

C) (1,3)(2,4)(3,5)(4,6)(5,7)(6,8)

Step-by-step explanation:

Hope it helps you:)

In the DMAIC (Define, Measure, Analyze, Improve, Control) cycle, the step in which you would identify ways to remove the cause of defects and confirm key variables is the b. improve step.

The Improve step is where you focus on identifying and implementing solutions to address the root causes of defects or problems that were identified during the previous steps of the DMAIC cycle. In this step, you analyze the data collected, conduct experiments, and develop potential solutions to improve the process or system.

This includes identifying ways to remove the causes of defects and ensuring that the key variables are controlled effectively. By implementing improvements and verifying their effectiveness, you aim to achieve the desired outcomes and enhance the overall performance of the process or system being analyzed.

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Answer:

The volume of the rectangular prism in cubic inches is;

Explanation:

Given the figure in the attached image;

The edge length of each cube is 1/2 in.

so, the height of the rectangular prism which has two cubes is;

The length and width of the rectangular prism is;

Recall that the volume of a rectangular prism can be calculated using the formula;

substituting the values;

Therefore, the volume of the rectangular prism in cubic inches is;

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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Answer:

A”(-3, -18) B” (0, -27) C” (-12, -30)

Step-by-step explanation:

Two transformations have been listed beneath the graph. Complete them in order to get the solution.

The first transformation is a translation. A translation involves moving the shape across the graph without altering its form. To receive the coordinates for this. Add the <-3, -8> given to coordinates A, B, and C. Which should result in the following: A (-1, -6) B (0, -9) C (-4, -10)

Now complete the second transformation, which is a dilation. Dilations happen when a shape is either made smaller or larger by a set number. To complete the second transformation: take the number given: “3” and multiply each number in the coordinate sets you got after the first transformation by this number.

Which should result in: A”(-3, -18) B” (0, -27) C” (-12, -30)

Answer:

f(-1) = -6

Step-by-step explanation:

f(x) = 12 / ( 4x+2)

Let x = -1

f(-1) = 12 / ( 4*-1+2)

     = 12 / (-4+2)

     = 12 / -2

    = -6

Based on the sample data, it can be concluded that the statement "the average profit for Sunday's events is $20.25" is true.

The sample data only provides information on the average profit for Friday's and Sunday's activities. There is no information given regarding the average profit for each of the Carey's workouts. Therefore, it is impossible to determine whether or not the statement regarding the average profit for Carey's workouts is true or false.

Conclusion: In conclusion, based on the analysis of the sample data, the statement "the average profit for Sunday's events is $20.25" can be considered true. However, no information can be provided regarding the accuracy of the other statement regarding the average profit for Carey's workouts, as it is not included in the given data.

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Answer:

Option A: pie chart is the correct one

Answer: 337 or 337^2 ~ 142129

Hope this helps :)

Answer:

a= 11.62

Step-by-step explanation:

a=sq rt of c^2 - b^2

Answer:

\( - 4\leqslant x \leqslant 3\)

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer/Step-by-step explanation:

The given statement about a bisector is an Angle Bisector. So the angles on the left and right side of shape are cut in half.

Statement2 should be AngleERP ~= AngleLRP

And Statement3 should be AngleEPR ~=  AngleLPR

So now you have two pairs of angles congruent and you got the segment by reflexive in between.

You have Angle-Side-Angle (ASA) for Reason5.

Lastly, if the triangles are congruent, all the pieces of the triangles are congruent. Corresponding parts of congruent triangles are congruent (CPCTC) is the correct answer for Reason6

Answer:

2/7

Step-by-step explanation:

Translation, rotation, and reflection are three of the fundamental transformations.

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