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3 years ago

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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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.

2x + 5 = 0
2x = -5
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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.

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3 years ago

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yanalaym [24]

Answer:

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3 years ago

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