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2 years ago

Solve the ff equations and inequalities 3x-2(x-3)=4(x-2),x is an element of whole number

Mathematics

2 answers:

yKpoI14uk [10]2 years ago

5 0

Answer:

solution:

x= $\frac{14}{3}$

Step-by-step explanation:

Veronika [31]2 years ago

5 0

Answer:

$x=\dfrac{14}{3}$

Step-by-step explanation:

Solve:

$3x-2(x-3)=4(x-2)$

Expand brackets:

$\implies 3x-2x+6=4x-8$

Collect like terms:

$\implies 3x-2x-4x=-8-6$

Combine like terms:

$\implies -3x=-14$

Divide both sides by -3:

$\implies x=\dfrac{14}{3}$

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Read 2 more answers

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a

Vikki [24]

Answer:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

Step-by-step explanation:

Information given:

$n=131$ represent the sample size

$\hat p=0.81$ represent the estimated proportion

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.326$

And replacing into the confidence interval formula we got:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

6 0

3 years ago

I need help I do not understand this it's due tomorrow

Goshia [24]

I'll help you out with 3 questions.
For #1, you kind of figured it out yourself
That 90 degree angle on paper means that m/1 and m/2 make up 90
If m1 is 50, then just subtract m1 (50) from 90, making it 40. m/2 is 40

If Angle M4 is 45 degrees then angle M3 is 180-45 since they both make up a 180 degree angle.

There are 180 degrees in a triangle
If m 8 = 78
and m 9 = 60
m 10 is 180 - 78 - 60

8 0

2 years ago

Solve the ff equations and inequalities 3x-2(x-3)=4(x-2),x is an element of whole number​

Solve the ff equations and inequalities 3x-2(x-3)=4(x-2),x is an element of whole number