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olchik [2.2K]
3 years ago
13

Does anyone know what x is - 3/4 (x+2)=6

Mathematics
2 answers:
love history [14]3 years ago
7 0

\bold{Answer}

\boxed{\bold{X \ = \ -10}}

\bold{Explanation}

  • \bold{Simplify: \ -\frac{3}{4}\left(x+2\right)=6}

\bold{-------------------}

  • \bold{Multiply \ Both \ Sides \ By \ -4}

\bold{\left(-\frac{3}{4}\left(x+2\right)\right)\left(-4\right)=6\left(-4\right)}

  • \bold{Simplify}

\bold{3\left(x+2\right)=-24}

  • \bold{Divide \ Both \ Sides \ By \ 3}

\bold{\frac{3\left(x+2\right)}{3}=\frac{-24}{3}}

  • \bold{Simplify}

\bold{x+2=-8}

  • \bold{Subtract \ 2 \ From \ Both \ Sides}

\bold{x+2-2=-8-2}

  • \bold{Simplify}

\bold{X \ = \ -10}

\boxed{\bold{Eclipsed}}

satela [25.4K]3 years ago
4 0

-10.

Solution: Multiply the negative three fourths by everything in the parenthesis.

-  \frac{3}{4} x + ( -  \frac{3}{2} ) = 6

Add the negative three halves to both sides.

-  \frac{3}{4} x  =  \frac{15}{2}

Multiply both sides by negative four thirds.

x =  - 10

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Answer: it is NOT proportional

Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional

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4 years ago
A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
a parking garage has 6 levels. Each level has 15 row. Each row has the same number of parking spaces. there are 2,250 parking sp
Mandarinka [93]
To start with, we know there’s a definite amount of parking spaces in all(2,250) and we also know each level(6 in all) had 15 rows of parking spaces.

Equation

A = Parking spots per row


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A= 2,250 Divided by 90


A = 25

The correct answer is 25 parking spots per row

To check this answer we can do

25 spots per row, Times 15 rows per level, Times the total amount of levels (6)

= the total amount of parking spots

25*15*6= 2,250

True


This confirms this answer as correct. Hope this helps.
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Answer:

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