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3 years ago

What is the value of x that makes sense the given equation true? 4x-3=-12x+13

Mathematics

2 answers:

Delvig [45]3 years ago

7 0

[ Answer ]

$\boxed{X \ = \ 1}$

[ Explanation ]

4x - 3 = -12x + 13

================================

Add 3 To Both Sides

4x - 3 + 3 = -12x + 13 + 3

Simplify

4x = -12x + 16

Add 12x To Both Sides

4x + 12x = 12x + 16 + 12x

Simplify

16x = 16

Divide Both Sides By 16

$\frac{16x}{16}$ = $\frac{16}{16}$

Simplify

X = 1

$\boxed{[ \ Eclipsed \ ]}$

Eva8 [605]3 years ago

4 0

X=1 is the answer to your question

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If I have 365 days of school and today is the 23rd day of school how days do I have left

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You have 342 days left of school.

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15. The graph of a linear function, f(x), is shown below. If the line is translated 2 units

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Step-by-step explanation:

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2 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

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3 years ago

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sergeinik [125]

Answer:

$\huge\underline\color{purple}{Answer ☘}$

$7 {}^{8} \times 7 {}^{3} \times 7 {}^{4} \div 7 {}^{9} \times 7 {}^{5} \\ = > 7 {}^{8 + 3 + 4 - 9 + 5 } \\ = > 7 {}^{11}$

<h3>furthєr... </h3>

$\color{pink}\boxed{Additional \: \: Information♡}$

$properties \: that \: we \: used \: while \\ solving \: the \: question \: are \: as \: follows - \\ \\ x {}^{m} \times x {}^{n} = x {}^{m + n} \\ \frac{x {}^{m} }{x {}^{n} } = x {}^{m - n}$

hσpє hєlpful~

<h2>~вє вrαínlч!</h2>

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2 years ago

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4 × (1,351 - 381)

Dovator [93]

The answer is C.

The expression is telling you to multiply the parenthesis times four. When you multply two numbers, $a \times b$ , it means that you're considering $a$ "copies" of $b$ , or if you prefer, $b$ repeated $a$ times.

So, you have

$2 \times (1.351 - 381)$ <- this is twice as much as the parenthesis

$3 \times (1.351 - 381)$ <- this is three times as much as the parenthesis

$4 \times (1.351 - 381)$ <- this is four times as much as the parenthesis

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3 years ago

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