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KatRina [158]
3 years ago
5

If the rvalue, or correlation coefficient, of a data set is negative, the

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

Step-by-step explanation:

The correlation coefficient being negative means that the tendency of the dots in the plane is a negative slope; the coefficientof determination tells you how close the dots are to being on the linear regression equation. This vaue falls between 0 and +1. This value will never be negative; the answer is false.

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A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A
Pavlova-9 [17]

Answer:

$180000

Step-by-step explanation:

Let's c be the number of chair and d be the number of desks.

The constraint functions:

- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c

- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c

c >= 0

d >= 0

The objective function is to maximize the profit function

P (c,d) = 400d + 250c

We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis)  and find the intersection point 0.5c = 500 - 0.75c

1.25c = 500

c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000

The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500

So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000

7 0
3 years ago
A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its
Crank
148.80 feet !!!!!!!!!!!
6 0
3 years ago
When you have two side lengths of 2in and 4.5in What is the other side length?
nika2105 [10]

Answer:

The solution for the other side length is the interval

(2.5,6.5)

Step-by-step explanation:

I will assume that is a triangle

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x ---> the measure of the third side

Applying the Triangle Inequality Theorem

1) 2+4.5 > x

6.5 > x

Rewrite

x < 6.5\ in

2) 2+x> 4.5

x> 2.5\ in

therefore

The solution for the other side length is the interval

(2.5,6.5)

5 0
4 years ago
On a number line, how many units away is the sum of the numbers 5 and 21 located from the number 5?
Eduardwww [97]

Answer:

11 units away

Step-by-step explanation:

5 + 21 = 26

26 - 5 = 11

7 0
4 years ago
Put this into Slope-Intercept Form<br> 5x – 2y = 10
Ronch [10]

Answer:

Step-by-step explanation:

Slope intercept form: y =mx +c

5x - 2y = 10

    -2y =  -5x + 10

\dfrac{-2y}{-2}=\dfrac{-5x}{-2}+\dfrac{10}{-2}\\\\\\y=\dfrac{5}{2}x-5

5 0
2 years ago
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