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Gre4nikov [31]
3 years ago
9

Which graph best represents the following situation?

Mathematics
2 answers:
hichkok12 [17]3 years ago
4 0

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A,  x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B,  x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C,  x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A,  x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

Aleonysh [2.5K]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

r represents the correlation between two variables x and y.  

Correlation is defined as:

Strong negative correlation: r is close to -1

Strong positive correlation: r is close to 1

Weak negative correlation : r is close to -0.5

Weak positive correlation : r is close to 0.5

If r=0, then there is no correlation between x and y.

In graph B and C,  y-increases as x increases. It means they represent positive correlation.

Therefore options B and C are incorrect.

In graph A and D, y-decreases as x increases. It means they represent negative correlation.

Graph A represents a Strong negative correlation. It means the value of r must be close to -1.

Graph D represents a weak negative correlation. It means the value of r must be close to -0.5.

Therefore option D is correct.

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How do I solve this? please help
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Answer:

4322 ft^2

Step-by-step explanation:

First, we need a formula. The formula is (50*110) - (3.14*18^2) - (4*40). The answer is 4322 ft^2 (This is the rounded answer)

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2 years ago
Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

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2 years ago
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How can you use the Distributive Property to check your work when factoring? Once an expression has been factored, use the Distr
Mariana [72]

Answer:

Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

Step-by-step explanation:

The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S

The binary operation a * (b Ф c) = (a * b) Ф (a * c) .

The operation * distributes over the operation Ф.

Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).

To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.

So, a(b + c) = ab + ac which is our initial expression.

So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

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What is -x^2 if x=-2
yanalaym [24]

Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

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