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3 years ago

15

What is the solution for y=0.5x+3.5 and y=-2/3x+1/3 shown on the graph

1 answer:

valentinak56 [21]3 years ago

3 0

In this item, we are given with a system of linear equation as written below.
y = 0.5x + 3.5
y = -2x/3 + 1/3

To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
0.5x + 3.5 = -2x/3 + 1/3

Multiply the equation by 6.
3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
(3x + 4x) = 2 - 21
7x = -19

Divide the equation by 7,
x = -19/7

The value of y,
y = (0.5)(-19/7) + 3.5 = 15/7

<em>ANSWER:</em>
<em> x = -19/7</em>
<em> y = 15/7</em>

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Follows are the solution to the given point:

Step-by-step explanation:

For option A:

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A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will

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Answer:

$35\%$ represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

The sample size is n = 947

The proportion of the population that believes that the Yankees will miss the playoffs this year is $k = 35\% = 0.35$

From the question we are told the confidence level is 97%

The lower limit of the confidence level is a = 28%

The upper limit of the b = 42%

Generally the sample proportion of this population is mathematically represented as

$\^ p = \frac{a+ b}{2}$

=> $\^ p = \frac{28 + 42 }{2}$

=> $\^ p = 35\%$

Hence $35\%$ represents the sample proportion

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