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2 years ago

Solve for x. 5(x - 3) + 4(x + 3) = 3(x - 1) What’s the answer ?

Mathematics

2 answers:

Ierofanga [76]2 years ago

8 0

Answer:

5x -15 + 4x + 12 = 3x -3

5x + 4x - 3x = 15 - 12 - 3 (put all like terms in one side)

6x = 0

x = 0/6

x= 0

SSSSS [86.1K]2 years ago

3 0

Answer:

x=0

Step-by-step explanation:

Solve for x.

5(x - 3) + 4(x + 3) = 3(x - 1)

Distribute

5x -15 +4x +12 = 3x-3

Combine like terms

9x -3 = 3x-3

Add 3 on each side

9x -3+3 = 3x-3

9x = 3x

Subtract 3x from each side

9x-3x = 3x-3x

6x =0

Divide by 6

6x/6 = 0/6

x=0

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If 2^x+4 = 2^3x-1, what is the value of x?

Ronch [10]

Answer:

x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x = 4 + 1

2x = 5

x = 5/2

3 0

2 years ago

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

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

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.

Step-by-step explanation:

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

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ 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.

7 0

2 years ago

Use the list below to find the upper quartile. 27, 5, 11, 13, 10, 8, 14, 18, 7

Alinara [238K]

Find the median first. The middle of all the numbers.

5, 7, 8, 10, 11, 13, 14, 18, 27

11 is the median.

Then find the median of the upper quartile.

The upper quartile consists of numbers...

5, 7, 8, 10

Since it is an even set of numbers add the two in the middle and divided by two. So 7 plus 8= 15/2.

7.5 is your upper quartile.

4 0

2 years ago

Read 2 more answers

If x varies directly as y, and<br> X = 24 when y= 21, Find x when<br> Y=6

Ne4ueva [31]

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

7 0

11 months ago

Solve the system of linear equations by substitution

ziro4ka [17]

$y - x = 0 ...equation 1$
$2x - 5y = 9 \: ...equation \: 2$
working with equation 1
$y = x \: ...equation \: 3$
next subsitue equation 3 in equation 1
$2x - 5(x) = 9$
$2x - 5x = 9$
$- 3x = 9$
divide by -3
$x = - 3$
substitute x= -3 in equation 1
$y - ( - 3) = 0$
$-(-3) = + 3$
$y = - 3$

6 0

2 years ago