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3 years ago

Determine the solution for the equation : 14 = -3x-16

Mathematics

2 answers:

vlabodo [156]3 years ago

8 0

Answer: x=-10

Step-by-step explanation:

rewrite equation as -3x-16=14.

Move all terms to the right side of the equation

-------> 3x=30, divide by -3 and simplify. :) hope that helped.

Slav-nsk [51]3 years ago

7 0

Answer:

x= -10

Step-by-step explanation:

14= -3x-16

1) -3x-16=14: Switch the left and right sides

2) -3x=14=16: Separate the constants and variables

3) -3x=30: Add the numbers

4) -3x/-3 = 30/-3: Divide both sides by -3

5) x= -10: Simplify

Hope that helps :)

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$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

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C. between 0.01 and 0.05.

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Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

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$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

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