What is the relationship between the linear correlation coefficient r and the slope b, of a regression line? A. The value of r will always be larger than the value of b B. The value of r will always have the same sign as the value of b C. The value of r ill always have the opposite sign of the value of b. D. The value of r will always be smaller than the value of bq

To maximize the manufacturer's total weekly profit, we need to find the critical point of the profit function P(x,y).

(a) To find the critical point, we need to find where the partial derivatives of P(x,y) are equal to zero.

Taking the partial derivative of P(x,y) with respect to x and y, we get:
P_x = 560 + 20y - 40x
P_y = 20x - 12y

Setting P_x = 0 and P_y = 0, we get:
560 + 20y - 40x = 0  and  20x - 12y = 0
Solving these equations simultaneously, we get:
x = 7 and y = 35

(b) To classify the critical point, we need to use the D-Test. The D value is:
D = P_xx * P_yy - (P_xy)^2
Substituting the values of P_xx, P_yy, and P_xy, we get:
D = -9600
Since D is negative, we have a saddle point at the critical point.

(c) To maximize the manufacturer's total weekly profit, we need to produce and sell 7,000 units of Product A and 35,000 units of Product B per week.

(d) Plugging x = 7 and y = 35 into the profit function P(x,y), we get:
P(7,35) = 560(7) + 20(7)(35) - 20(7)^2 - 6(35)^2
P(7,35) = $8,050
Therefore, the maximum weekly profit is $8,050.

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Answer:

35t 125kg

5120x12=61440 kg

10200+9=10209 kg

Step-by-step explanation:

The European company will earn 128,750 Euros in profit for selling 1,500 headphones.

To find the profit for selling 1,500 headphones, we need to plug in the value of h into the profit function E(h) and simplify.

Since h is measured in thousands of headphones, we need to divide 1,500 by 1,000 to get h = 1.5.

Now we can plug in h = 1.5 into the profit function and simplify:

E(1.5) = -4(1.5)^(4) + 7(1.5)^(3) - 7(1.5) + 20

E(1.5) = -4(5.0625) + 7(3.375) - 10.5 + 20

E(1.5) = -20.25 + 23.625 - 10.5 + 20

E(1.5) = 12.875

So the profit for selling 1,500 headphones is 12.875 ten thousands of Euros, or 128,750 Euros.

Therefore, the European company will earn 128,750 Euros in profit for selling 1,500 headphones.

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Answer:

x = 14

Step-by-step explanation:

21 ÷\(\frac{2}{3}\) = 14

Answer:

x = 31 1/2

Step-by-step explanation:

- Isolate x by multiplying 2/3 on each side, cancelling out the one of its original placement

- You can't divide by a fraction, so KCF (Keep Change Flip):

      x = 21 * 3/2

      = 63/2 or 31 1/2

Answer: 1

Step-by-step explanation:

2v = v - 9

-v -v

V = -9

Answer: (x - 2)^2 + (y + 3)^2 = 34

Step-by-step explanation:

The basic equation for a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle

Using Pythagoras we can find r^2

r^2 = (2 - -1)^2 + (-3 - -8)^2

= 3^2 + 5^2

= 34

So the circle is (x - 2)^2 + (y - -3)^2 = 34

The Equation of Circle is (x -2)² + ( y + 3)² = 34.

The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.

We know the standard form of Equation of Circle

(x - a)² + (y - b)² = r²

where (a, b) is the Centre of the circle

Also, we have a  circle with a center at (2,-3) passes through the point (-1,-8).

Using Pythagoras theorem

r² = (2 - -1)² + (-3 - -8)²

= 3² + 5²

= 34

Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.

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Answer:

x + 6

Step-by-step explanation:

Sum means to add the 2 terms , so

x + 6 ← represents the sum of 6 and x

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

The option A is correct, the linear equation x + y = 34. and 10x + 15y = 410 represent the the statement.

According to the statement

we have given that the

Jody earns $10 per hour babysitting And jody earns $15 per hour doing yardwork.

And she worked 34 hours and earned $410

and we have to express in the linear equation terms.

So, For this purpose,

Let x represents the number hours she babysat

Let y represents the number of hours she did yardwork

And the equations become

x + y = 34.

10x + 15y = 410

And with the help of these linear equations we find the hours which are x and y.

So, The above written equations perfectly express the given conditions in the statement.

The option A is correct, the linear equation x + y = 34. and 10x + 15y = 410 represent the the statement.

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The hypothesis used in creating the box model for a test of significance. this hypothesis about the box (population parameter) corresponds with the idea that any observed difference between the sample outcome and the expected value is due to chance is the Null Hypothesis.

A statistical conjecture known as a null hypothesis asserts that certain characteristics of a population or data-generating process are not different from one another.

The alternative theory contends that there is a distinction. A method to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing. The alternative hypothesis is supported if the null hypothesis can be rejected. The foundation of the scientific falsification principle is null hypothesis testing.

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The completed answer table attached

What is frequency table ?

The information that is gathered is called data. The quantity of occurrences of an event or value is referred to as its frequency. A frequency table is a table that lists items and displays how frequently each item happens.

A relative frequency table is a graph that displays how popular or common a particular sort of data is among the population that was sampled. In order to calculate relative frequency, we must compare the frequency of a given event to all other events.

Add the values in rows and columns separately

Rows:

57+ 122= 179

30 +65 =95

columns:

57+30=87

122+65 =187

179+ 95 = 274

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To send the frequency distribution data to Excel, you can follow these steps:

1. Open Excel on your computer.

2. Create a new worksheet or open an existing one where you want to import the data.

3. Label the first column as "Number of Tests Performed" and the second column as "Number of Patients".

4. In the first column, enter the values 0, 1, 2, 3, and 4 or more in separate cells, corresponding to the number of tests performed.

5. In the second column, enter the corresponding values 14, 8, 4, 4, and 2, which represent the number of patients for each category of tests.

6. Select both columns by clicking and dragging over the cells.

7. Go to the "Copy" option in the Excel toolbar or use the Ctrl+C keyboard shortcut to copy the selected data.

8. Switch to the Excel worksheet where you want to paste the data.

9. Select the first cell where you want to paste the data.

10. Right-click on the cell and choose the "Paste" option or use the Ctrl+V keyboard shortcut to paste the data.

Now, the frequency distribution data from the emergency room tests should be successfully transferred to Excel.

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The first three pseudorandom numbers generated by the given relation are: a) R1 = 1, b) R2 = 7, c) R3 = 1.

Explanation: We start with the seed value R0 = 3. Using the given relation Rn+1 = (5Rn + 2) mod 9, we can calculate the subsequent values of Rn.

a) To find R1:

R1 = (5R0 + 2) mod 9 = (5 * 3 + 2) mod 9 = 15 mod 9 = 1

b) To find R2:

R2 = (5R1 + 2) mod 9 = (5 * 1 + 2) mod 9 = 7

c) To find R3:

R3 = (5R2 + 2) mod 9 = (5 * 7 + 2) mod 9 = 37 mod 9 = 1

Therefore, the first three pseudorandom numbers generated are: R1 = 1, R2 = 7, and R3 = 1.


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Assuming no deposits or withdrawals are made,  the amount in the  account after 19 years is: 11,454. 133.

Using this formula

A = P(1+r/100)ⁿ

Where:

A = Amount =?

P = Principal = $4700

r = Interest rate =4.8%

n = the number of periods =19 years

Let plug in the formula

A = 4,700 (1 + 4.8/100)¹⁹

A = 4,700 (1 + 0.048)¹⁹

A = 4,700 (1.048)¹⁹

A = $11,454. 133

Therefore the amount is $11,454. 133.

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Answer:

√6 × √6 × √6 = 6√6

Step-by-step explanation:

\( \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} \)

\( \rm = \sqrt{36} \times \sqrt{6} \)

\( \blue{\boxed{\rm = 6 \sqrt{6} }}\)

The claim that a drug is effective at 1% is not sufficiently supported by the available data.

Participant 1 2 3 4 5 6

Before 185 220 190 158 227 211

After 175 215 195 155 230 207

Difference = Before - After = 10 5 -5 3  -3 4

Participant 7 8 9 10 11 12

Before 260 156 201 300 180 270

After 258 159 201 290 172 272

Difference = Before - After = 2 -3 0 10  8 -2

Participant 13 14 15 16 17 18

Before 293 183 205 151 291 166

After 290 185 200 146 287 166

Difference = Before - After = -7 -2 5 5  4 0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44

The mean of d, \(d`\) = Σd / n = 44 / 18 = 2.44

The standard deviation, S.d = 4.45 (using calculator)

The test statistic, T : \(d`\) / (S.d/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

P value = 0.0326

α = 0.01

Since P value < α ; we fail to reject H0

So the claim that a drug is effective at 1% is not sufficiently supported by the available data.

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Answer:

20 coins

Step-by-step explanation:

20x10 =200 so that is 20 is 10% of 200

Answer:

what did u learn today?

Answer:

c = 16

Step-by-step explanation:

We have (a + b)² = a² + 2ab + b²

x² + 8x + c is of the form a² + 2ab + b²

where x² = a²

8x = 2ab

and c = b²

⇒ x² + 8x + c = (x + √c)² which is a perfect square

x² = a² ⇒ x = a

8x = 2ab

⇒ 8x = 2xb

⇒ b = 8x/(2x)

⇒ b = 4

c = b²

⇒ c = 4²

⇒ c = 16

(x + √c)² = (x + √16)²

= (x + 4)²

= x² + 2(x)(4) + 4²

= x² + 8x + 16

Therefore, c = 16 makes the expression a perfect square

We will see that the length of the browser window is 4.9 inches, and the screen is a square of sidelength 10.2 in

We know that the area of the browser window is 24 in^2, we will assume that the window is a perfect square, then the area is equal to the square of the length x, we have:

x^2 = 24 in^2

x = √(24 in^2) = 4.9 in

We know that the browser covers 3/13 of the screen, so the area of the screen is 13/3 times the area of the browser:

A = (13/3)*24 in^2 = 104 in^2

Again, if the screen is square of sidelength s, we have:

s^2 = 104 in^2

s = √(104 in^2)  = 10.2 in

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Answer:

a. The size of angle x is 126

b. alternate angles are equal

Step-by-step explanation:

a. Angles on a straight line add up to 180

This implies 54+x=180

×=180-54

x=126

Answer:

380.1

Step-by-step explanation:

A=\(\pi\)r^2

A=\(\pi\)*11*11

A~ 380.13 m^2

nearest tenth: 380.1

The perimeter of the polygon with vertices at (-1, 3), (–1, 6), (2, 10), (5, 6), and (5, 3) is 22 units.

To calculate the perimeter of the polygon, we need to find the distance between consecutive vertices and add them up.

Let's label the vertices as follows

A = (-1, 3)

B = (-1, 6)

C = (2, 10)

D = (5, 6)

E = (5, 3)

The distance formula to find the distance between two points (x1, y1) and (x2, y2) is given by

d = √((x2 - x1)^2 + (y2 - y1)^2)

So, the perimeter of the polygon can be calculated as

AB + BC + CD + DE + EA

= √(((-1) - (-1))^2 + ((6) - (3))^2) + √(((2) - (-1))^2 + ((10) - (6))^2) + √(((5) - (2))^2 + ((6) - (10))^2) + √(((5) - (5))^2 + ((3) - (6))^2) + √(((-1) - (5))^2 + ((3) - (3))^2)

= √(0 + 9) + √(9 + 16) + √(9 + 16) + √(0 + 9) + √(36)

= 3 + 5 + 5 + 3 + 6

= 22 units

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The given question is incomplete, the complete question is:

What is the perimeter of a polygon with vertices at (-1, 3), (–1, 6), (2, 10), (5, 6), and (5, 3)?

a. The estimated slope coefficient of 0.338 indicates that, on average, for every one unit increase in house size (measured in square feet), the price of the house is expected to increase by $338.

b. To find the predicted price for a 2000 square foot house, we substitute the size value into the equation: PRICE = 30.0 + 0.338 * SIZE. Therefore, the predicted price for a 2000 square foot house would be $30,000 + 0.338 * 2000 = $30,676.

c. If we had measured price in dollars instead of thousands of dollars, the estimated coefficient on size would decrease. For example, if the coefficient on size was 0.338 when price was measured in thousands of dollars, it might be 0.000338 when price is measured in dollars. This is because the change in the unit of measurement affects the magnitude of the coefficient.

d. The error term (ε1) in the theoretical model PRICE = β0 + β1 * SIZE + ε1 captures all other factors besides size that affect the price of a house. This can include variables such as location, number of bedrooms, neighborhood, and other amenities.

e. The estimated slope coefficient of 3.62 in the equation SIZE = -190 + 3.62 * PRICE indicates that, on average, for every one unit increase in price (measured in thousands of dollars), the size of the house is expected to increase by 3.62 square feet.

f. No, the above equation does not show that high housing prices cause houses to be large. The equation suggests a positive relationship between price and size, but it does not imply causation. Other factors, such as the availability of larger houses in the market or the preferences of buyers, could also contribute to the observed relationship.

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Answer:2/16

Step-by-step explanation:

~Shoto Todoroki here~

Answer:

hope this helps :))

Answer: