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2 years ago

Find the value of x that makes the equation true:

Mathematics

2 answers:

uranmaximum [27]2 years ago

6 0

Answer:

Step-by-step explanation:

Paha777 [63]2 years ago

4 0

Answer:

x= 13

Step-by-step explanation:

11x=143

x=143/11

x=13

therefore, the value of x is 13

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3 years ago

Problema 3

Serjik [45]

espero y te ayude, cualquier cosa escríbeme

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3 years ago

Graph the equation on the coordinate plane.

abruzzese [7]

Solution :

Given, the equation $y=-2x$ .

To graph the equation on the coordinate plane, we first need to derive the different points of the equation $y=-2x$ ,

$at\:\;x=0\Rightarrow y= -2(0)=0\\\\at\:\;x=1\Rightarrow y= -2(1)=-2\\\\at\:\;x=2\Rightarrow y= -2(2)=-4\\\\at\:\;x=3\Rightarrow y= -2(3)=-6\\\\at\:\;x=-1\Rightarrow y= -2(-1)=2\\\\at\:\;x=-2\Rightarrow y= -2(-2)=4\\\\at\:\;x=-3\Rightarrow y= -2(-3)=6$

The graph plotted using these points is shown in the figure,

8 0

3 years ago

In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax

Nikolay [14]

Answer:

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

$t = 2.51$

$p-value = 0.01207$

There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

The sample size is $n = 745$

The number that said it is morally wrong is $k = 589$

The level of significance is $\alpha = 0.01$

The population proportion is $p = 0.75$

Generally the sample proportion is mathematically represented as

$\r p = \frac{k}{n}$

=> $\r p = \frac{589}{745}$

=> $\r p = 0.79$

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

The standard error is mathematically represented as

$SE = \sqrt{\frac{p(1-p)}{n} }$

=> $SE = \sqrt{\frac{0.75(1-0.75)}{745} }$

=> $SE =0.0159$

Generally the test statistics is mathematically represented as

$t = \frac{\r p - p }{SE}$

=> $t = \frac{0.79 - 0.75 }{0.0159}$

=> $t = 2.51$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 2.51)$

From the the z-table

$P(Z > 2.51) = 0.0060366$

=> $p-value = 2 * 0.0060366$

=> $p-value = 0.01207$

From the calculation $p-value >\alpha$

Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

7 0

3 years ago

Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF

Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in $10x^2$ we have 10 as coefficient of $x^2$

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, $x^2$ has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( $x^2 = 1 \times x^2$ )

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c$

For the considered situation, the expression that Anja is simplifying is:
$\dfrac{10x^{-5}}{-5x^{10}}$

Anja simplified it to $\dfrac{15}{x^{15}}$

She performed operations with variable 'x' correctly since

$\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}$

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: $\dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}$

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

4 0

2 years ago