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2 years ago

X + y = 92 and y = 3x - 4

Mathematics

1 answer:

Advocard [28]2 years ago

6 0

∑ Hey, eduardolozanosalgado ⊃

Answer:

x=24 , y=68

Step-by-step explanation:

Given:

$\mathrm{\begin{bmatrix}x+y=92\\ y=3x-4\end{bmatrix}}$

Solution:

Substitute: $\mathrm{y = 3x-4}$

$\begin{bmatrix}x+3x-4=92\end{bmatrix}$

Isolate x for 4x - 4= 92 : x = 24

Substitute : x = 24

$y=3\cdot \:24-4$

$y=64$

Hence, the solutions are : $x=24,\:y=68$

xcookiex12

8/19/2022

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Alright, let's factor this to get the answer.
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3 years ago

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally beli

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Hi there :)

Question :

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☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.

☆ The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning.

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Answer Explanation -

r = -0.91

Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.

| r | = 0.91, which is quite close to 1, so a significant relationship. Also, Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and so, correct answer is Option A

Method explanation :-

Correlation coefficients measure the relationship between variables, the closer | r | is to 1, the stronger the relationship will be.

If the coefficient is positive, then there will be a positive relationship. If the coefficient is negative, then there is a negative relationship.

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