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3 years ago

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Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown.

2 answers:

Juli2301 [7.4K]3 years ago

8 0

<h2>Answer: B) The slope is negative 1 /2 and the y-intercept is (0, 3).</h2>

Step-by-step explanation: usatestprep approved

blagie [28]3 years ago

6 0

The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.

<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.

We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4

In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>

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Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

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The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

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$P(z > |-1.04|) = 0.15$

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