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kykrilka [37]
3 years ago
12

Given 3x+y=1

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

QUESTION:- Given 3x+y=1

Write the equation in general form Ax+By+C =0

3x-y+1=0

-3x +y-1=0

3x-y=-1

3x + y - 1 = 0 \:  \:  ✔

ANSWER:-

<h3>Equation--> </h3>

3x + y = 1

Form of the given equation->

Ax + By = C

so we need to change the side of the C !

while changing side of C we need to change the sign of C !

\bold{ \red{SO :- }}

3 x + y = 1 \\ 3x + y - 1 = 0

FORM OF THE RESULTED EQUATION:-

Ax + By + C = 0 \\ A = 3 \\ B = 1 \\ C =  - 1

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Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

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In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

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(1)

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<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}=  0.  

<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}\neq  0.  

(2)

Compute the sample proportions and total proportion as follows:

\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\

Compute the test statistic value as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424

<em>p</em>-value = 0.00424 < <em>α</em> = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

7 0
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WITCHER [35]

Answer:

y = 4(2)^{x}

Step-by-step explanation:

An exponential function in standard form is

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Use ordered pairs from the table to find a and b

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y = 4 (2)^{x} ← represents the values in the table

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