Find m21.
103°. 13° 77°. 26°​

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Step-by-step explanation:

Can't see anything

Please be more specific

The number of items that should be produced to obtain maximum profit is 5/3 and the maximum profit is 25/9 dollars.

The given monthly total cost function is;C(x) = 20 + 5x dollarsThe revenue is given by the function R(x)Maximum profit occurs at the point where total revenue is maximum. The profit function P(x) is obtained by subtracting total cost from total revenue.Profit function;P(x) = R(x) - C(x)Substituting R(x) and C(x);

P(x) = (15x * x²)/2 - (20 + 5x)P(x) = 15/2 x³ - 20 - 5x

Maximum profit occurs at the critical point(s) of P(x).Find the first derivative of P(x) and solve for x. Then use the second derivative test to verify if it is maximum or minimum.

P'(x) = (15/2)(3x²) - 5Set P'(x)

to zero to obtain the critical value(s);

0 = (15/2)(3x²) - 50 = 3x² - 10

Factor;

3x² - 10 = 0(3x + 2)(x - 5/3) = 0

Therefore, x = -2/3, 5/3P''(x) = 9xSince P''(5/3) = 15. Therefore, the point x = 5/3 is a maximum.Therefore, the number of items that should be produced to obtain maximum profit is 5/3. (b) Find the maximum profit = 15x x² 2 dollarsWe found that the critical point is x = 5/3. To find the maximum profit, substitute x = 5/3 into

P(x).P(5/3) = 15/2 (5/3)³ - 20 - 5(5/3) = 25/9

Maximum profit is 25/9 dollars.The number of items that should be produced to obtain maximum profit is 5/3 and the maximum profit is 25/9 dollars. The profit function P(x) is given by;P(x) = R(x) - C(x)Where C(x) is the cost function, R(x) is the revenue function, and x is the number of items sold. Profit is defined as the difference between total revenue and total cost. In other words;Profit = Total revenue - Total costOr;P(x) = R(x) - C(x)The cost function is given as;C(x) = 20 + 5x dollarsThis is a linear function where the cost per unit of x is constant. The revenue function is not given. Instead, we are given a quadratic function for total revenue.R(x) = 15x * x²/2 dollarsThis is a quadratic function of the form ax² + bx + c. The profit function P(x) can be obtained by subtracting total cost from total revenue.P(x) = R(x) - C(x)Substituting C(x) and R(x);P(x) = 15/2 x³ - 20 - 5xWe want to find the number of items to produce for maximum profit and the maximum profit.To find the number of items, we need to find the critical value(s) of P(x). Find the first derivative of P(x), then solve for x.

P'(x) = 15/2 (3x²) - 5

Set P'(x) to zero;

0 = 15/2 (3x²) - 50 = 3x² - 10

Factor;

3x² - 10 = 0(3x + 2)(x - 5/3) = 0

Therefore, x = -2/3, 5/3P''(x) = 9xSince P''(5/3) = 15. Therefore, the point x = 5/3 is a maximum.Therefore, the number of items that should be produced to obtain maximum profit is 5/3. The maximum profit is obtained by substituting x = 5/3 into

P(x).P(5/3) = 15/2 (5/3)³ - 20 - 5(5/3) = 25/9 dollars.

Therefore, the number of items that should be produced to obtain maximum profit is 5/3 and the maximum profit is 25/9 dollars.

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Answer:

-403

Step-by-step explanation:

Answer:

-403

hope it helps.

have a good day

Probability is a measure that indicates the chances of an event happening. It's calculated by dividing the number of desired outcomes by the total number of possible outcomes. In this case, we'll calculate the probability that a customer is at least 30 but no older than 50. Suppose the variable X represents the age of a customer.

Then we need to find P(30 ≤ X ≤ 50).To solve this problem, we'll use the cumulative distribution function (CDF) of X. The CDF F(x) gives the probability that X is less than or equal to x. That is,F(x) = P(X ≤ x)Using the CDF, we can find the probability that a customer is younger than or equal to 50 years old and then subtract the probability that the customer is younger than or equal to 30 years old, which gives us the probability that the customer is at least 30 but no older than 50 years old.Using the given data, we know that the mean is 40 and the standard deviation is 5.

Thus we can use the formula for the standard normal distribution to find the required probability, Z = (x - μ) / σWhere Z is the standard score or z-score, x is the age of the customer, μ is the mean and σ is the standard deviation. Substituting the values into the formula, we get:Z1 = (50 - 40) / 5 = 2Z2 = (30 - 40) / 5 = -2

We can use a z-table or calculator to find the probabilities associated with the standard scores. Using the z-table, we find that the probability that a customer is less than or equal to 50 years old is P(Z ≤ 2) = 0.9772 and the probability that a customer is less than or equal to 30 years old is P(Z ≤ -2) = 0.0228.

Therefore, the probability that a customer is at least 30 but no older than 50 years old is:P(30 ≤ X ≤ 50) = P(Z ≤ 2) - P(Z ≤ -2) = 0.9772 - 0.0228 = 0.9544This means that the probability that the customer is at least 30 but no older than 50 is 0.9544 or 95.44%.

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We know that the mean (μ) is 800 hours and the standard deviation (σ) is 85 hours. We are trying to find the number of light bulbs that will last more than 1010 hours.

First, we need to standardize the value of 1010 hours using the formula:
z = (x - μ) / σ
where x is the value we are trying to find the probability for.

Plugging in our values, we get:
z = (1010 - 800) / 85 = 2.47
Now, we can use a standard normal distribution table or calculator to find the probability that a randomly selected light bulb will last more than 1010 hours. The area under the curve to the right of 2.47 is 0.0068.

Therefore, the expected number of light bulbs that will last more than 1010 hours out of 610 is:
3 x 0.0068 x 610 = 12.42

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Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

Answer:

45^0

Step-by-step explanation:

The calculated value of the angle x is 32 degrees

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of the angle x can be calculated using the angle between the of intersection tangent lines equation

So, we have

x = 1/2 * ([360 - 148] - 148)

Evaluate

x = 32

Hence, the value of x is 32

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Answer:

( -2 , -2 ) or ( 2 , 4 )

Step-by-step explanation:

Answer:

4-1/2-0 = 3/2

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

The metal tool consists of a semicircle and an isosceles triangle joined together. The formula to calculate the area of the semicircle is\(πr²/2\), and the formula to calculate the area of an isosceles triangle is \((base * height) / 2.\)

The radius of the semicircle is equal to the length of the base of the isosceles triangle. Therefore, let's consider the base and height of the triangle to be equal to x, and the radius of the semicircle is also x.Let's start by calculating the area of the semicircle. We know that π is approximately 3.14.

Therefore, the area of the semicircle is:\(πr²/2 = (3.14 * x²)/2 = 1.57x²\)Now, let's calculate the area of the isosceles triangle. Therefore, the height of the triangle is equal to x/2. Hence, the area of the triangle is:\((base * height)/2 = (x * x/2)/2 = x²/4\)Therefore, the total area of the metal tool is the sum of the area of the semicircle and the area of the triangle.

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Answer:

they ate 17/36 of the box together

Step-by-step explanation:

There is no sufficient evidence to indicate the true standard deviation is less than 4000.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

given that n = 16

x = 60139.7

s = 3718.06

∝ = 0.05

To test the hypothesis

H0 : = 4000

H1 :  < 4000 (claim)

test statistics

x² = ((n-1)s²) / H0²

  = (15 * 13823970.16) / (16000000)

  = 12.96

P- value = P [x² < 12.96]           DF = n-1 = 15

            = 0.3946

0.1 < P-value <0.5

Hence, there is no sufficient evidence to indicate the true standard deviation is less than 4000.

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Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

q(x, θ) = x(1) − θ is a pivotal quantity, and its distribution is the same as the distribution of x(1).

A pivotal quantity is a function of the data and the unknown parameters whose distribution does not depend on the unknown parameters. In other words, the distribution of the pivotal quantity remains the same under different values of the parameters.

To show that q(x, θ) = x(1) − θ is a pivotal quantity, we need to show that its distribution does not depend on the unknown parameter θ. To do so, let's consider the distribution of q(x, θ):

P(q(x, θ) ≤ t) = P(x(1) − θ ≤ t)

= P(x(1) ≤ t + θ)

= F(x(1); t + θ)

where F(x(1); t + θ) is the cumulative distribution function of x(1).

Since the distribution of x(1) does not depend on θ, we can see that the distribution of q(x, θ) does not depend on θ either. Therefore, q(x, θ) is a pivotal quantity.

Furthermore, since q(x, θ) is a pivotal quantity, we can find its distribution by looking at the distribution of x(1). Therefore, the distribution of q(x, θ) is the same as the distribution of x(1).

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Answer:

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

By the Law of Sines,

LJ/sin(23°) = 9/sin(89°)

LJ = (9sin(23°))/(sin(89°), which is about 3.5

Answer:

6x + 3y= 15

8x + 4y= 20

15+20=35

Step-by-step explanation:

Based on the provided information, three possible aggregate plans for SureStep Company are:

Level Plan: Produce a constant number of shoes each month to match the average demand over the four months.

Chase Plan with Overtime: Adjust the workforce level each month to match the demand exactly, utilizing overtime when necessary.

Chase Plan without Overtime: Adjust the workforce level each month to match the demand exactly, without using overtime.

To determine the best aggregate plan, we need to evaluate each plan based on the given criteria. Let's analyze each plan in detail:

Level Plan:

In this plan, SureStep Company produces a constant number of shoes each month to match the average demand over the four months. This means the product will be 4,750 pairs of shoes per month ([(3000+5000+2000+1000)/4]). By using a level plan, SureStep aims to have a stable production rate and maintain a steady workforce.

Chase Plan with Overtime:

In this plan, SureStep adjusts the workforce level each month to match the demand exactly. The company utilizes overtime when necessary to meet the demand. By hiring or firing workers, they can achieve the required workforce level. The number of workers required each month is calculated by dividing the demand for that month by the regular working hours per worker (160 hours) and rounding it up to the nearest whole number. If the demand exceeds the capacity even with regular working hours, overtime is used.

Chase Plan without Overtime:

Similar to the Chase Plan with Overtime, SureStep adjusts the workforce level each month to match the demand exactly. However, in this plan, overtime is not utilized. The number of workers required each month is calculated the same way as in the previous plan, but if the demand exceeds the capacity even with regular working hours, the excess demand is back-ordered.

To decide which plan to follow, we need to consider various factors such as costs, customer satisfaction, and overall company objectives. Here are some points to consider:

Level Plan: This plan provides a consistent production rate and helps in managing inventory levels efficiently. However, it may result in higher holding costs due to excess inventory. Also, it may lead to customer dissatisfaction if there are significant variations in demand during the four months.

Chase Plan with Overtime: This plan allows SureStep to meet the exact demand each month by adjusting the workforce level and utilizing overtime when necessary. It helps in minimizing holding costs and back-ordering costs. However, overtime labor costs and the cost of hiring/firing workers should be considered. It may also lead to potential employee fatigue due to overtime work.

Chase Plan without Overtime: This plan aims to meet the exact demand each month without utilizing overtime. It helps in minimizing overtime labor costs but may result in higher back-ordering costs and potential customer dissatisfaction due to delayed deliveries.

Based on the specific cost and customer satisfaction preferences of SureStep Company, the operations manager needs to evaluate the trade-offs and select the most suitable aggregate plan. The decision may involve analyzing the financial impact, evaluating customer service levels, and considering the company's overall strategy and goals.

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Answer:

4<u

Step-by-step explanation:

14>u+10

14-10>u

4>u

Also, I've heard of something of "flipping" your sign when you minus a number or something. Can anyone explain that to me??

Answer:

B. 2

Step-by-step explanation:

a1,1=1

a1,2=2

a1,3=3

a2,1=4

a2,2=5

a2,3=6

a3,1=7

a3,2=8

a3,3=9

The expression a₁₋₂ represents the term present in the first raw and the second column which is 2. Then the correct option is B.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.

The matrix is given below.

\(\rm A = \begin{bmatrix}1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\end{bmatrix}\)

The 'i' represents the number of raw and 'j' represents the number of columns. Then the matrix is given as,

In the grid, a₁₋₂ addresses the term present in the primary crude and the second segment which is 2. Then, at that point, the right choice is B.

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The probability that a test revealed that Jared is a carrier but Lucia is not is 1/4

Mendel discovered that genes are inherited as separate, paired units, one from each parent. Its application of mathematics to illuminate observations of natural phenomena.

Given that lucia and jared each have a sibling with cystic fibrosis, but neither lucia nor jared nor their parents have the disease

Mendel theory is a technique used to estimate the probability of getting specific characteristics.

Lucia and Jared have a probability of both carrier and non carrier

If both of them are non carrier then the children born to their family have no chances of getting disease.

If any one of them is carier, then there is a chance of getting one child as a carrier. That is ¼ or the ratio is 1:4

If both of them are carriers then the ratio will be 1:2:1

If Jared is carrier then the probability will be ¼

Therefore the probability if a test revealed that jared is a carrier but lucia is not is ¼

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Answer:

1 - 40, 40, 40

2 - 117

Step-by-step explanation:

Answer:

1- 40

2- 40

3- 40

4- 117

Step-by-step explanation:

Answer:

47. n = -3

48. n = -15

49. n = -13/3

50. n = -17/3

Step-by-step explanation:

47.

6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.

48.

6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.

49.

6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.

50.

6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.

Given vertices of polygon JKLM are J(-4,-3), K(-4,-6), L(-1,-6), M(-1,-3). To determine the image coordinates of L', if the pre-image is reflected across y = -3. So the right option is (C) L’(-1,0)

we need to follow the below steps:

Step 1: Plot the points in the coordinate plane.

Step 2: Draw the line of reflection, y = -3. It is a horizontal line.

Step 3: Find the reflection image of point L(-1, -6) about y = -3.

So, let's plot these points in the coordinate plane.

Here is the graph of the polygon:graph{JKLM(-4,-3)(-4,-6)(-1,-6)(-1,-3)}

As we can see in the above graph, the line of reflection y = -3 is a horizontal line passing through the point (-1,-3).

Now, we need to find the image of the point L(-1,-6) reflected across the line y = -3.

Let's draw a line of reflection and points.

Here is the graph:

graph{JKLM(-4,-3)(-4,-6)(-1,-6)(-1,-3)l_ref(y=-3,-7,0)}

To find the image of point L across the line of reflection y = -3, we follow the below steps:

Step 1: Draw a perpendicular line from L to the line of reflection. It intersects the line of reflection at L1.  

Step 2: Find the distance between point L and L1.

Step 3: Draw a line through L1 parallel to the line of reflection.  

Step 4: The intersection of the line in Step 3 with y = -3 is the image of L across the line of reflection.

Let's apply these steps to find the reflection image of point L. Here is the graph:graph{JKLM(-4,-3)l_ref(y=-3,-7,0)L(-1,-6)L1(-1,-3)L2(-7,-3)L1L--L2--(1,-3)L-(-1,-3)L'(-1,0)}

Step 1: Draw a perpendicular line from L to the line of reflection. It intersects the line of reflection at L1.  So, here the perpendicular line is drawn as L1(-1, -3)

Step 2: Find the distance between point L and L1. The distance between L and L1 is 6 units. So, the distance between L' and L1 is also 6 units.

Step 3: Draw a line through L1 parallel to the line of reflection. Let's draw a line through L1 parallel to the line of reflection. The parallel line is L2 : y = -3

Step 4: The intersection of the line in Step 3 with y = -3 is the image of L across the line of reflection. Let's find the point where L2 intersects y = -3: -1 + 6 = 5. So, the point L' is (-1, 0).

Hence, the correct option is C. L’(-1,0).

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The area of the flat will be 600 ft².

Given that the apartment is having a length of 30 ft and the width is 20 ft,

We need to find the area of the flat,

So the area = length × width

Area = 20 × 30

= 600 ft²

Hence the area of the flat will be 600 ft².

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The probability that all 4 balls drawn from the urn are white is approximately 0.161.

To find the probability that all 4 balls drawn from the urn are white, we need to consider the probability of drawing a white ball on each individual draw and multiply them together since the draws are independent.

The probability of drawing a white ball on each draw is given by the ratio of the number of white balls to the total number of balls in the urn.

Given that the urn contains 5 green and 8 white balls, the total number of balls in the urn is 5 + 8 = 13.

The probability of drawing a white ball on the first draw is 8/13.

Since each draw is done with replacement, the probability of drawing a white ball on each of the subsequent draws is also 8/13.

Therefore, the probability of drawing all 4 balls as white is (8/13) * (8/13) * (8/13) * (8/13).

Calculating this probability:

(8/13) * (8/13) * (8/13) * (8/13) ≈ 0.161

Rounding to three decimal places, the probability that all 4 balls drawn from the urn are white is approximately 0.161.

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Answer:

B

D

Step-by-step explanation:

Answer:

120

Step-by-step explanation: